DSP LM15_0611

8/13/2019 DSP LM15_0611

http://slidepdf.com/reader/full/dsp-lm150611 1/108

SRI ESHWAR COLLEGE OF ENGINEERING KONDAMPATTI, COIMBATORE – 641 202

Department of Electronics and Communication Engineering

DIGITAL SIGNAL PROCESSING

LABORATORY MANUAL

(2010 – 2011)

8/13/2019 DSP LM15_0611


E!NO: GENERATION OF SINE, S"UARE AND

DATE# TRIANGULAR WA$E FORMS

AIM#

To generate sine wave, triangular wave, square wave.

ALGORITHM#

1! SINE WA$E#

STEP 1# Get the values of‘t’ for sine wave.

STEP 2# Generate the function with y (n) =sin (2*i*t).

STEP %# Ta!e ‘"’ as the ti#e erio$ an$ ‘y’ as the a#litu$e of the wavefor#.

2! TRIANGULAR WA$E#

STEP 1# Get the values of‘t’.

STEP 2# Give the a#litu$e for correson$ing osition.

STEP %# %lot the function with ‘"’ as the ti#e erio$ an$ ‘y’ as the a#litu$e.

%! S"UARE WA$E#

STEP 1# Get the values of‘t’ for square wave.

STEP 2# Give a#litu$e for correson$ing osition.

STEP %# %lot the function with ‘"’ as the ti#e erio$ an$ ‘y’ as a#litu$e.

8/13/2019 DSP LM15_0611


FLOWCHART#

&T'T

T+- T- /'0-

G--'T- T- &-1-3- 45 -4-& 4-&

3466'7 89 T- %-7-5-7 7-5T4

+ael ";a"is: T6- 7-<

+ael y;a"is: '6%+T7-

&T4%

8/13/2019 DSP LM15_0611


PROGRAM#

1! S"UARE SE"UENCE#

2! SINE SE"UENCE#

clc >=inut(?enter the length of the inut sequence?)<>=inut(?enter the n@. of cycles?)

n>=@:iA>:<>*i

9>=sin(2*n>)

sulot(B,2,>) lot(n>*>Ai,9>)

title(?sinusoi$al sequence?)

"lael(?sa#le...C?)ylael(?a#litu$e.....C?)

%! TRIANGULAR SE"UENCE#

clc

t=;2:D:2y=EFeros(D,D),ones(D,D),Feros(D,D),ones(D,D),Feros(D,D)

sulot(2,2,D)

lot(t,y)"lael(?sa#leHC?)

ylael(?a#litu$eH..C?)

title(?triangle sequence:?)

INPUT#1! S"UARE WA$E#

sa#ling frequency:>@@

no of sa#les:>@frequency of square wave:>@2! SINUSOIDAL SE"UENCE#

enter the length of the inut sequence:D@enter the n@. of cycles:D@

OUTPUT#

8/13/2019 DSP LM15_0611


1! S"UARE WA$E#

2! SINUSOIDAL SE"UENCE#

%! TRIANGULAR SE"UENCE#

8/13/2019 DSP LM15_0611


RESULT#

Thus the 6'T+'8 rogra#s for generation of sine, square an$ triangular wavefor# iswritten, e"ecute$ an$ the outut is verifie$.

EP! NO!# GENERATION OF SE"UENCE

DATE #

AIM#

To write an$ e"ecute the 6'T+'8 si#ulation rogra# for generating the followingsequence

(i) nit i#ulse sequence

(ii) nit ste sequence(iii) nit ra# sequence

8/13/2019 DSP LM15_0611


ALGORITHM#

UNIT IMPULSE SE"UENCE#

STEP 1# &tart the rocessSTEP 2# 4tain the length of the sequence

STEP %# Generate the sequence

STEP 4# %lot the generate$ sequence

STEP &# &to the rocess

UNIT STEP SE"UENCE#

STEP 1# &tart the rocess

STEP 2# 4tain the length of the sequence

STEP %# Generate the sequence y(n)=D@, @InI;D

STEP 4# %lot the generate$ sequenceSTEP &# &to the rocess

UNIT RAMP SE"UENCE#

STEP 1# &tart the rocess

STEP 2# 4tain the length of the sequence

STEP %# Generate the sequence y(n)=n, @InI;D

STEP 4# %lot the generate$ sequence

STEP &# &to the rocess

FLOWCHART#

8/13/2019 DSP LM15_0611


PROGRAM#

UNIT IMPULSE SE"UENCE#

clc

n=;2:D:2y=EFeros(D,2),ones(D,D),Feros(D,2)

T'+&- T- /'0-546 '&&6- '& ;2 T4 2

G--'T- T- &-1-3- 45 -4& '7 4-&

3466'7 89 T- %-7-5-7 7-5T4&

+'8-+ < '<&: T6- 7-<

+'8-+ 9 '<&: '6%+T7- 7-<

&T4%

&T'T

8/13/2019 DSP LM15_0611


sulot(2,2,D)

ste#(n,y)

title(?unit i#ulse?)"lael(?ti#e in$e".....C?)

ylael(?a#litu$e.....C?)

$is(n)

UNIT STEP SE"UENCE#

clc

a=inut(?enter the length of the inut sequence?)

nD=@:D:a;Dy=Eones(D,a)

sulot(B,2,2)

ste#(nD,y)title(?unit ste?)

"lael(?ti#e in$e".....C?)

ylael(?a#litu$e.....C?)$is(nD)

UNIT RAMP SE"UENCE#

clc

aD=inut(?enter the length of the inut sequence?)n2=@:D:aD;D

sulot(2,2,B)

ste#(n2,n2)

title(?unit a#?)"lael(?ti#e in$e"....C?)

ylael(?a#litu$e.....C?)$is(n2)

GRAPH#

OUTPUT #

-nter the length of the ste sequence: J-nter the length of ra# sequence: J

8/13/2019 DSP LM15_0611


8/13/2019 DSP LM15_0611


RESULT#

Thus the 6'T+'8 si#ulation rogra# for generatingD. nit ste sequence

2. nit ra# sequence

B. nit i#ulse sequence

are e"ecute$ an$ outut is verifie$.

EP! NO!# LINEAR CON$OLUTION

DATE #

8/13/2019 DSP LM15_0611


AIM#

To write an$ e"ecute 6'T+'8 rogra# to fin$ linear convolution

ALGORITHM#

STEP 1# &tart the rogra#

STEP 2# Get the two signals "(n) an$ h(n) in #atri" for#

STEP %# The convolution is $enote$ y y(n)

STEP 4# y(n)=K "(!) h(n;!). /here n=@ to nL;DSTEP &# &to the rogra#

FLOWCHART#

8/13/2019 DSP LM15_0611


PROGRAM#

clc$is(?inut:?)

-T- "(n) '7 h(n)

y=conv(",h)

7&%+'9 %T '7 4T%T &-1-3-&

&T4%

&T'T

8/13/2019 DSP LM15_0611


"=inut(?enter the Dst sequence:?)

h=inut(?enter the 2n$ sequence:?)

y=conv2(",h)$islay(?outut?)

figure

sulot(B,D,D)ste#(")

"lael(?sa#le;;C?)ylael(?#agnitu$e;;C?)title(?Dst sequence?)

sulot(B,D,2)

ste#(h)

"lael(?sa#le;;C?)ylael(?#agnitu$e;;C?)

title(?2n$ sequence?)

sulot(B,D,B)"lael(?sa#le;;C?)

ylael(?#agnitu$e;;C?)

ste#(y)title(?after convolution?)

$is(?the resultant signal is:?)

$is(?y?)

INPUT#

enter the Dst sequence:ED B >enter the 2n$ sequence:E2 B J M

8/13/2019 DSP LM15_0611


OUTPUT#

The resultant signal is: y

8/13/2019 DSP LM15_0611


RESULT#

Thus the 6'T+'8 si#ulation rogra# for linear convolution of two sa#les has een

written an$ e"ecute$.

EP! NO!# CIRCULAR CON$OLUTION

DATE #

8/13/2019 DSP LM15_0611


AIM#

To write an$ e"ecute a 6'T+'8 si#ulation rogra# for generating a circular

convolution.

ALGORITHM#

STEP 1# Get the two signals "(n) an$ h(n) in #atri" for#

STEP 2# The convolution is $enote$ y y(n)

STEP %# y(n)=K "(!) h(n;!) when n=@ to #L7;D !=;N

STEP 4# &to the rogra#

FLOWCHART#

8/13/2019 DSP LM15_0611


PROGRAM#

&T'T

G-T T/4

&-1-3-

5 -4%'77G

-1-

%-546 33+'

3404+T4

%4T -4

3'+3+'T-

3404+T4 896'T< 6+T%+3'T4

7&%+'9 T-

%+4T

&T4%

8/13/2019 DSP LM15_0611


clc

"=inut(?enter the first sequence:?)

h=inut(?enter the secon$ sequence:?) D=length(")

2=length(h)

=O"=E" Feros(D,;D)

h=Eh Feros(D,;2)6=E@:D:;D$is(6)

h=h(6LD)

$is(h)

6=#o$(;6,)$is(6)

for n=D:D:

6=n;D =@:D:;D

q=#o$(;6,)

$is(q)h#=h(qLD)

(n,:)=h#

$is((n,:))

en$y="*

Plot

nD=@:D:n;Dsulot(B,D,D)

ste#(nD,")

title(? 5irst sequence?)

"lael(?sa#le.....C?)ylael(? #agnitu$e....C?)

sulot(B,D,2)ste#(nD,h)

title(?secon$ sequence?)

P"lael(?sa#el.....?)

ylael(?#agnitu$e....C?)sulot(B,D,B)

ste#(nD,y)

$is(y)title(? circular convolution ?)

"lael(?sa#le...C?)

ylael(?#agnitu$e....C?)

8/13/2019 DSP LM15_0611


INPUT#

enter the first sequence:ED 2 B >enter the secon$ sequence:ED 2 B >

OUTPUT#

8/13/2019 DSP LM15_0611


RESULT#

Thus the 6'T+'8 si#ulation rogra# for circular convolution of two sa#les has

een written an$ e"ecute$.

8/13/2019 DSP LM15_0611


EP! NO!# SAMPLING OF SIGNALS

DATE #

AIM#

To write an$ e"ecute the 6'T+'8 rogra# for generating sa#ling for

the given signals.

ALGORITHM#

STEP 1# &tart the rogra#.

STEP 2# Get the an$ of signals to e sa#le$

STEP %# 7eter#ine the highest frequency co#onent

STEP 4# 3alculate twice the highest frequency co#onent

STEP &# &a#le the inut signal at three $ifferent rates of = 2f hC2f hI2f h

STEP 6# 4tain the sa#le$ signal outut

STEP '# &to the rocess.

8/13/2019 DSP LM15_0611


FLOWCHART#

G-T T- %T &G'+&

3'+3+'T- 25

&T'

T

G-T 5

&'6%+- T- %T &G'+ 'T 25I25

C25

G-T T- 34-&%47G&'6%+-7 4T%T&

&T4%

8/13/2019 DSP LM15_0611


PROGRAM#

fig siFe=E2B2 O> QQ> M2>TsD=@.@J

[email protected][email protected]=2*iATsD

ws2=2*iATs2

wsB=2*iATsB

wD=Qw2=2B

t=E@:@.@@J:2

"=cos(wD*t)Lcos(w2*t)$is(?"?)

$is(")

figure(D),clf,lot(t,"),gri$,"lael(?ti#e (s)?),ylael(?a#litu$e?),...title(?continuous;ti#e signal "(t)=cos(Qt)Lcos(2B)?),....

set(gcf,?osition?,figRsiFe)

tD=E@:TsD:2

"sD=cos(wD*tD)Lcos(w2*tD)$is(?"sD?)

$is("sD)

figure (2),clf,ste#(tD,"sD)gri$,hol$ on,lot(t,",?r:?),hol$ off,...

"lael(?ti#e (s)?),ylael(?a#litu$e?),....

title(?sa#le$ version of "(t) with TRs=@.@Js?),...

set(gcf,?osition?,figRsiFe)t2=E@:Ts2:2

"s2=cos(wD*t2)Lcos(w2*t2)figure (B),clf,ste#(t2,"s2)

gri$,hol$ on,lot(t,",?r:?),hol$ off,...

"lael(?ti#e (s)?),ylael(?a#litu$e?),....

title(?sa#le$ version of "(t) with [email protected]?),...set(gcf,?osition?,figRsiFe)

tB=E@:TsB:2

"sB=cos(wD*tB)Lcos(w2*tB)figure (>),clf,ste#(tB,"sB)

gri$,hol$ on,lot(t,",?r:?),hol$ off,...

"lael(?ti#e (s)?),ylael(?a#litu$e?),....title(?sa#le$ version of "(t) with [email protected]?),...


w2sB=w2;wsB

"D=cos(wD*t)Lcos(w2sB*t)figure (J),clf,ste#(tB,"sB)

gri$,hol$ on,lot(t,",?!:?,t,"D,?r:?),hol$ off,...

8/13/2019 DSP LM15_0611


8/13/2019 DSP LM15_0611


"lael(?ti#e (s)?),ylael(?a#litu$e?),....title(?sa#ling "(t) an$ "D(t) with [email protected]?),...


te"t(D.DB,D.2,?"(t)?),te"t(@.D,D.M,?"RD(t)?)n=E;D @ D

w"=E;w2 ;wD wD w2w"D=Ew"2=E

w"B=E

for i=D:length(n)

w"D=Ew"D (w"Ln(i)*wsD)w"2=Ew"2 (w"Ln(i)*ws2)

w"B=Ew"B (w"Ln(i)*wsB)

en$w"D=sort(w"D)

w"2=sort(w"2)

w"B=sort(w"B)clear i

8/13/2019 DSP LM15_0611


8/13/2019 DSP LM15_0611


RESULT#

Thus the 6'T+'8 si#ulation rogra# for generating sa#les of the given signal has

een written an$ e"ecute$.

8/13/2019 DSP LM15_0611


EP NO# BUTTERWORTH FILTER

DATE #

AIM#

To write an$ e"ecute a 6'T+'8 rogra# to $esign a 8utterworth

a) +ow ass filter

) igh ass filterc) 8an$ ass filter

$) 8an$ sto filter

ALGORITHM#

STEP 1: &tart the rogra#.

STEP 2: Get the values of ass an$ an$ sto an$ rile, ass an$ an$ sto an$

frequency an$ sa#ling frequency.

STEP %: 3alculate the or$er of the filter.

STEP 4: 3o#ute the frequency resonse an$ lot the grah.

STEP &: &to the rogra#.

ft:[email protected] &tri!e D.M PJ8%ortalePJ7.e"e

ftp://[email protected]/Counter%20Strike%201.6%20%5BPortable%5D.exe

ftp://[email protected]/Counter%20Strike%201.6%20%5BPortable%5D.exe

8/13/2019 DSP LM15_0611


FLOWCHART#

1! LOW PASS FILTER

-'7 r, rs, ws, fs

&- 8TT47 T4 7-&G +%5

&T' T

-'7 T- 47- 45 5+T-

G-T T- ''+4G 546

%+4T T- -&+T

&T4%

48T' 6'GT7- '7 %'&-

8/13/2019 DSP LM15_0611


PROGRAM#

1! LOW PASS FILTER

clc$is(?nut:?)

r=inut(?-nter the assan$ rile?)

rs=inut(?-nter the sto an$ rile?)

w=inut(?-nter the assan$ frequency?)ws=inut(?-nter the stoan$ frequency?)

fs=inut(?-nter the sa#ling frequency?)

wD=2*(wAfs)w2=2*(wsAfs)

$is(?4utut:?)

$is(?4r$er of sequence?)En,wn=uttor$(wD,w2,r,rs,?s?)n

$is(?B $ cutoff frequency?)

$is(?wn?)

E,a=utter(n,wn,?low?,?s?)nw=@:.D:i

E,o#=freqs(,a,w)

#=2@*logD@(as())#an=angle()an

sulot(2,D,D)

lot(o#Ai,#)

"lael(?or#alise$ frequency?)ylael(?gain in $.....C?)

sulot(2,D,2) lot(o#Ai,an)

"lael(?or#alise$ frequency?)

ylael(?%hase in ra$ians.....C?)

title(?hase lot?)

8/13/2019 DSP LM15_0611


FLOWCHART#

2! HIGH PASS FILTER#

-'7 r, rs, ws, fs

&- 8TT47 T4 7-&G %5

&T' T

-'7 T- 47- 45 5+T-

G-T T- ''+4G 546

%+4T T- -&+T

&T4%

48T' 6'GT7- '7 %'&-

8/13/2019 DSP LM15_0611


PROGRAM#


close all

clear all$is(?nut:?)r=inut(?-nter the assan$ rile?)

rs=inut(?-nter the sto an$ rile?)

w=inut(?-nter the assan$ frequency?)

ws=inut(?-nter the stoan$ frequency?)fs=inut(?-nter the sa#ling frequency?)

wD=2*(wAfs)

w2=2*(wsAfs)$is(?4utut:?)

$is(?4r$er of sequence?)

En,wn=uttor$(wD,w2,r,rs,?s?)n$is(?B $ cutoff frequency?)

$is(?wn?)

E,a=utter(n,wn,?high?,?s?)nw=@:.@D:i

E,o#=freqs(,a,w)

#=2@*logD@(as())#

an=angle()ansulot(2,D,D)

lot(o#Ai,#)

"lael(?or#alise$ frequency?)

ylael(?gain in $.....C?)sulot(2,D,2)

lot(o#Ai,an)"lael(?or#alise$ frequency?)

ylael(?%hase in ra$ians.....C?)

title(?hase lot?)

8/13/2019 DSP LM15_0611


FLOWCHART#

%! BAND PASS FILTER#

-'7 r, rs, ws, fs

&- 8TT47 T4 7-&G 8%5

&T' T

-'7 T- 47- 45 5+T-

G-T T- ''+4G 546

%+4T T- -&+T

&T4%

48T' 6'GT7- '7 %'&-

8/13/2019 DSP LM15_0611


PROGRAM#

%! BAND PASS FILTER#

clc

$is(?inut?)r=inut(?enter the assan$ rile:?)rs=inut(?enter the stoan$ rile:?)

w=inut(?enter the assan$ frequency:?)

ws=inut(?enter the stoan$ frequency:?)

fs=inut(?enter the sa#ling frequency:?)wD=2*wAfs

w2=2*wsAfs

$is(?outut?)$is(?or$er of sequence?)

En,wn=uttor$(wD,w2,r,rs,?s?)

$is(wn)wn=EwD w2

E,a=utter(n,wn,?an$ass?,?s?)

w=@:@.@D:i

Eh,o#=freqF(,a,w)#=2@*logD@(as(h))

an=angle(h)

sulot(2,D,D) lot(o#Ai,#)

ylael(?gain in $?)

"lael(?nor#alise$ frequency?)

title (?#agnitu$e resonse?)sulot(2,D,2)

lot(o#Ai,an)"lael(?nor#alise$ frequency?)

ylael(?hase in ra$ians?)

title(?hase resonse?)

8/13/2019 DSP LM15_0611


FLOWCHART#

4! BAND STOP FILTER#

-'7 r, rs, ws, fs

&- 8TT47 T4 7-&G 8&5

&T'

T

-'7 T- 47- 45 5+T-

G-T T- ''+4G 546

%+4T T- -&+T

&T4%

48T' 6'GT7- '7 %'&-

8/13/2019 DSP LM15_0611


PROGRAM#

4! BAND STOP FILTER#

clc





w2=2*wsAfs

En,wn=uttor$(wD,w2,r,rs,?s?)wn=EwD w2

E,a=utter(n,wn,?sto?,?s?)

w=@:@.@D:iEh,o#=freqF(,a,w)

#=2@*logD@(as(h))

an=angle(h)

sulot(2,D,D) lot(o#Ai,#)

ylael(?gain in $?)

"lael(?(a)nor#alise$ frequency?)title (?#agnitu$e resonse?)

sulot(2,D,2)

lot(o#Ai,an)

"lael(?()nor#alise$ frequency?)ylael(?hase in ra$ians?)

title(?hase resonse?)

8/13/2019 DSP LM15_0611


GRAPH#

1! LOWPASS FILTER#


8/13/2019 DSP LM15_0611


INPUT#

1! LOWPASS FILTER#

-nter the assan$ rile@>-nter the sto an$ rileO@-nter the assan$ frequencyD>@@

-nter the stoan$ frequency>@@@

-nter the sa#ling frequencyQ@@@

2! HIGHPASS FILTER#

-nter the assan$ rile@

-nter the sto an$ rileJ@-nter the assan$ frequencyDQO@

-nter the stoan$ frequencyB>@@

-nter the sa#ling frequencyM@@@

%! BANDPASS FILTER#

enter the assan$ rile:@

enter the stoan$ rile:QO

enter the assan$ frequency:D@@@

enter the stoan$ frequency:2@@@enter the sa#ling frequency:O@@@

4! BANDSTOP FILTER#

enter the assan$ rile:@Oenter the stoan$ rile:D@


enter the stoan$ frequency:M@@@enter the sa#ling frequency: J>@@

8/13/2019 DSP LM15_0611


GRAPH#

%! BANDPASS FILTER#

4! BANDSTOP FILTER#

8/13/2019 DSP LM15_0611


RESULT#

Thus the 8utterworth filters are e"ecute$ an$ the outut is otaine$.

8/13/2019 DSP LM15_0611


EP! NO# CHEBYCHE$ FILTER

DATE #

AIM#

To write an$ e"ecute a 6'T+'8 si#ulation rogra# to $esign the

following analog filters using 3heychev filters

D) +ow ass filters2) igh ass filters

B) 8an$ ass filters

>) &to an$ filters

ALGORITHM#

STEP 1: &tart the rogra#.

STEP 2: Get the values of ass an$ an$ sto an$ rile, ass an$ an$ sto an$

frequency an$ sa#ling frequency.

STEP %: 3alculate the or$er of the filter.

STEP 4: se cheychev function to $esign various filter

STEP &: 3o#ute the frequency resonse an$ lot the grah.

STEP 6: &to the rogra#.

8/13/2019 DSP LM15_0611


FLOW CHART#

1) LOW PASS FILTER#

STOP

READ , *, +*, *

READ ORDER OF THE

FILTER

USE CHEBYCHE$ IIR TO DESIGN LPF

GET THE ANALOG FORM

OBTAIN MAGNITUDE AND PHASE

PLOT THE RESULT

START

8/13/2019 DSP LM15_0611


PROGRAM#

1) LOW PASS FILTER:

clc

$is(?inut?)r=inut(?enter the ass an$ rile:?)rs=inut(?enter the sto an$ rile:?)

w=inut(?enter the ass an$ frequency:?)

ws=inut(?enter the sto an$ frequency:?)


w2=2*wsAfs

$is(?outut?)En,wn=cheDor$(wD,w2,r,rs,?s?)n

$is(?B$ cut off frequency?)

$is(?wn?)E,a=cheyD(n,r,wn,?low?)n

w=@:@.@D:i

Eh,o#=freqF(,a,w)

#=2@*logD@(as(h))#an=angle(h)an

sulot(2,D,D)

lot(o#Ai,#)"lael(?nor#alise$ frequency.....C?)

ylael(?gain in $...C?)

title(?#agnitu$e lot?)


"lael(?nor#alise$ frequency....C?)ylael(?hase in ra$ians....C?)

title(?hase lot?)

8/13/2019 DSP LM15_0611


FLOW CHART#

2) HIGH PASS FILTER#

STOP

READ , *, +*, *

READ ORDER OF THE

FILTER

USE CHEBYCHE$ IIR TO DESIGN HPF

GET THE ANALOG FORM


PLOT THE RESULT

START

8/13/2019 DSP LM15_0611


PROGRAM#


clc





w2=2*wsAfs

Pwn=EwD,w2$is(?outut?)

$is(?or$er of sequence?)

En,wn=cheDor$(wD,w2,r,rs,?s?)n$is(?B$ cutoff frequency?)

$is(wn)

E,a=cheyD(n,r,wn,?high?)


#=2@*logD@(as(h))#

an=angle(h)ansulot(2,D,D)

lot(o#Ai,#)

"lael(?nor#alise$ frequency;;C?)

ylael(?gain in $;;C?)title(?#agnitu$e lot?)


"lael(?nor#alise$ frequency;;C?)

ylael(?hase in ra$ians;;C?)

title(?hase lot?)Psulot(2,D,2)

Plot(o#Ui,an,?!?)

P"lael(?nor#alise$ frequency;C?)Pylael(?hase in ra$ians;;;;;C?)

Ptitle(?hase lot?)

8/13/2019 DSP LM15_0611


FLOW CHART#

%) BAND PASS FILTER#

STOP

READ , *, +*, *

READ ORDER OF THE

FILTER

USE CHEBYCHE$ IIR TO DESIGN BPF

GET THE ANALOG FORM


PLOT THE RESULT

START

8/13/2019 DSP LM15_0611


PROGRAM#


clc$is(?inut?)r=inut(?enter the ass an$ rile:?)

rs=inut(?enter the sto an$ rile:?)


ws=inut(?enter the sto an$ frequency:?)fs=inut(?enter the sa#ling frequency:?)

wD=2*wAfs

w2=2*wsAfs$is(?outut?)

$is(?or$er of sequence?)

En,wn=cheDor$(wD,w2,r,rs,?s?)nwn=EwD w2

$is(?B$ cut off frequency?)

$is(?wn?)

E,a=cheyD(n,r,wn,?an$ass?)nw=@:@.@D:i

Eh,o#=freqF(,a,w)

#=2@*logD@(as(h))#an=angle(h)an

sulot(2,D,D)

lot(o#Ai,#)

"lael(?nor#alise$ frequency.....C?)ylael(?gain in $...C?)

title(?#agnitu$e lot?)sulot(2,D,2)

lot(o#Ai,an)

"lael(?nor#alise$ frequency....C?)

ylael(?hase in ra$ians....C?)title(?hase lot?)

8/13/2019 DSP LM15_0611


FLOW CHART#

4) BAND STOP FILTER#

STOP

READ , *, +*, *

READ ORDER OF THEFILTER

USE CHEBYCHE$ IIR TO DESIGN BSF

GET THE ANALOG FORM


PLOT THE RESULT

START

8/13/2019 DSP LM15_0611


PROGRAM#


clc$is(?inut?)r=inut(?enter the ass an$ rile:?)

rs=inut(?enter the sto an$ rile:?)


ws=inut(?enter the sto an$ frequency:?)fs=inut(?enter the sa#ling frequency:?)

wD=2*wAfs

w2=2*wsAfs$is(?outut?)

En,wn=cheDor$(wD,w2,r,rs)n

$is(?B$ cut off frequency?)$is(?wn?)

wn=EwD w2

E,a=cheyD(n,r,wn,?sto?)


#=2@*logD@(as(h))#

an=angle(h)ansulot(2,D,D)

lot(o#Ai,#,?!?)

"lael(?nor#alise$ frequency.....C?)

ylael(?gain in $...C?)title(?#agnitu$e lot?)

sulot(2,D,2) lot(o#Ai,an,?!?)


ylael(?hase in ra$ians....C?)

title(?hase lot?)

8/13/2019 DSP LM15_0611


OUTPUT#

1) LOW PASS FILTER#


8/13/2019 DSP LM15_0611


INPUT#

1) LOW PASS FILTER#

enter the ass an$ rile:@.@

enter the sto an$ rile:J@enter the ass an$ frequency:B@@@enter the sto an$ frequency:J@@@

enter the sa#ling frequency:@@@


enter the assan$ rile:@.@Jenter the stoan$ rile:BJ


enter the stoan$ frequency:D>@@enter the sa#ling frequency: >>@@@


enter the ass an$ rile:@.@@B

enter the sto an$ rile:BJ

enter the ass an$ frequency:2J@@enter the sto an$ frequency:J@@@

enter the sa#ling frequency:D2@@@


enter the ass an$ rile:@.@Denter the sto an$ rile:2@

enter the ass an$ frequency:B@@@

enter the sto an$ frequency:BJ@@enter the sa#ling frequency:D2@@@

8/13/2019 DSP LM15_0611


OUTPUT#



8/13/2019 DSP LM15_0611


RESULT#

Thus the cheychev filters are e"ecute$ an$ the outut is otaine$.

8/13/2019 DSP LM15_0611


EP NO#

WINDOWING TECHNI"UES

DATE#

AIM#To write an$ e"ecute the 6'T+'8 si#ulation rogra# for the following win$owing

techniquesD.8lac!#ann

2.a##ing an$

B.anning.

ALGORITHM#

1! BLACKMANN#


STEP 2# Get the nu#er of oints ().

STEP %# sing the function 8lac!#ann () $esign the win$ow for

frequency (@ : @.@D : i).

STEP 4# /in$ow outut.

STEP &# &to the rogra#.

2!HAMMING#


STEP 2# Get the nu#er of oints ().3alculate the alha value.

STEP %# sing the function a##ing () $esign the win$ow for frequency

(@ : @.@D : i).



%!HANNING#


STEP 2# Get the nu#er of oints ().

3alculate alha value.STEP %# sing the function anning () $esign the win$ow for frequency

(@ : @.@D : i).



8/13/2019 DSP LM15_0611


FLOWCHART#

1! BLACKMANN WINDOW#

G-T T- 0'+- 45

3'+3+'T- &G T- /74/ 53T4

8+'3V6' 54 0'+-&

3'+3+'T- T- 5-1-39 &'6%+- &G T-53T4 5-1-39

%+4T T- 4T%T

&T'

T

&T4%

8/13/2019 DSP LM15_0611


PROGRAM#

1!BLACKMANN WINDOW#

clcwi=B*i =2J

alha=(;D)A23%&=@.@@D

n=@:D:;D

h$=sin(wi*(n;alha;3%&)A(i*(n;alha)))/r=o"car()

hn=h$*/r

w=@:@.@D:ih=freqF(hn,D,w)

lot(wAi,as(h))

hol$ onwn=lac!#an()

hn=h$*wn

w=@:@.@D:i

h=freqF(hn,D,w) lot(wAi,as(h),?...?)gri$

title(?lac!#ann win$ow?)

"lael(?nor#alise$ frequency....C?)ylael(?#agnitu$e...C?)

hol$ off

8/13/2019 DSP LM15_0611


FLOWCHART#

2! HAMMING WINDOW#

G-T T- 0'+- 45

3'+3+'T- &G T- /74/ 53T4'66G 54 0'+-&

3'+3+'T- T- 5-1-39 &'6%+- &G T-53T4 5-1-39

%+4T T- 4T%T

&T'

T

&T4%

8/13/2019 DSP LM15_0611


PROGRAM#

2!HAMMING WINDOW#

clc

[email protected]*i =2Jalha=(;D)A23%&=@.@@D

n=@:D:;D

h$=sin(wi*(n;alhaL3%&)A(i*(n;alhaL3%&)))

/r=o"car()hn=h$*/r

w=@:@.@D:i

h=freqF(hn,D,w) lot(wAi,as(h))

hol$ on

wn=ha##ing()hn=h$*wn

w=@:@.@D:i

h=freqF(hn,D,w)

lot(wAi,as(h),?...?)gri$title(?ha##ing win$ow?)


ylael(?#agnitu$e...C?)hol$ off

8/13/2019 DSP LM15_0611


FLOWCHART#

%! HANNING WINDOW#

PROGRAM#

G-T T- 0'+- 45

3'+3+'T- &G T- /74/ 53T4

'G 54 0'+-&

3'+3+'T- T- 5-1-39 &'6%+- &G T-53T4 5-1-39

%+4T T- 4T%T

&T'

T

&T4%

8/13/2019 DSP LM15_0611


%! HANNING WINDOW:

clcwi=J*i

=2Jalha=(;D)A23%&=@.@@Dn=@:D:;D

h$=sin(wi*(n;alhaL3%&)A(i*(n;alhaL3%&)))

/r=o"car()

hn=h$*/rw=@:@.@D:i

h=freqF(hn,D,w)

lot(wAi,as(h))hol$ on

wn=hanning()

hn=h$*wnw=@:@.@D:i

h=freqF(hn,D,w)

lot(wAi,as(h),?...?)gri$

title(?hanning win$ow?)"lael(?nor#alise$ frequency....C?)

ylael(?#agnitu$e...C?)

hol$ off

OUTPUT#

8/13/2019 DSP LM15_0611


1! BLACKMANN WINDOW#

2! HAMMING WINDOW#

8/13/2019 DSP LM15_0611


%! HANNING WINDOW#

8/13/2019 DSP LM15_0611


RESULT#

Thus the rogra# for the $ifferent win$owing technique is written, e"ecute$ an$

verifie$.

8/13/2019 DSP LM15_0611


8/13/2019 DSP LM15_0611


EP NO#

STUDY OF TMS%20C&0 ARCHITECTURE

DATE#

AIM#

To stu$y the architecture of T6&B2@3J@.

DSP CHIP TMS%20C&0#

The T6&B2@3J@ is a DM;it fi"e$ oint $igital signal rocessor that co#ines the

fle"iility of a high see$ controller with the nu#erical caaility of an array rocessor,therey offering an ine"ensive alternative to #ultichi it;slice rocessor. The highly arelle$

architecture an$ efficient instruction set, rovi$e see$ an$ fle"iility caale of e"ecuting D@

6%&. The T6&B2@3J@ oti#iFes see$ y i#le#enting function in har$ware that other rocessors i#le#ent through #icroco$e or software. This har$ware;intensive aroach rovi$es the $esign engineer with rocessing ower reviously unavailale on a single chi.

The T6&B2@3J@ is the thir$ generation $igital signal rocessor in the T6&B2@ fa#ily.ts owerful instruction set, inherent fle"iility, high see$ nu#er;crunching caailities an$

innovative architecture have #a$e this high erfor#ance, cost effective rocessor the i$eal

solution to #any teleco##unication, co#uter, co##ercial, in$ustrial an$ #ilitaryalications.

KEY FEATURES OF TMS%20C&0#

The !ey features of $igital signal rocessor T6&B2@3J@ are:

• BJ;A;J@;ns single;cycle fi"e$;oint instruction e"ecution ti#e (2O.MA2@ 6%&)

• war$ source;co$e co#atile with all 3D< an$ 32< $evices.

• '6; ase$ #e#ory oeration(3J@)

• V " DM;it single; cycle on;chi rogra#A$ata '6 (3J@)

• 2V " DM;it single; cycle on; chi oot 46 (3J@)

• D@JM " DM;it $ual;access on;chi $ata '6.

• 22>V " DM;it #a"i#u# a$$ressale e"ternal #e#ory sace (M>V rogra#,

M>V $ata,M>V A4 an$ B2V gloal).

•

B2;it arith#etic logic unit ('+3), B2;it accu#ulator ('33) an$ B2;itaccu#ulator uffer ('338).

• DM;it arallel logic unit (%+)

• DM " DM;it arallel #ultilier with a B2;it ro$uct caaility.

• &ingle; cycle #ultilyAaccu#ulate instructions.

• O au"iliary registers with a $e$icate$ au"iliary register arith#etic unit for

in$irect a$$ressing.

8/13/2019 DSP LM15_0611


• DD conte"t; switch register (sha$ow register) for storing strategic 3%;

controlle$ registers $uring an interrut service routine.

• O;level har$ware stac!

@;to DM;it left an$ right $ata arrel shifters an$ a M>;it incre#ental $ata

8/13/2019 DSP LM15_0611


shifter.

• Two in$irectly a$$resse$ circular uffer for circular a$$ressing.

• &ingle; instruction reeat an$ loc! reeat oerations for rogra# co$e.

• 8loc! #e#ory #ove instructions for etter rogra#A$ata #anage#ent.

• 5ull;$ule" synchronous serial ort for $irect co##unication etween 3J< an$

another serial $evice.

• Ti#e;$ivision #ultile;access (T76) serial ort

• nterval ti#er with erio$, control an$ counter registers for software sto, start

an$ reset.

• M>V arallel A4 ort, DM of which are #e#ory #ae$.

• DM software rogra##ale wait;state generator for rogra#, $ata an$ A4

#e#ory saces.

ARCHITECTURE#

The T6&B2@3J@ is utiliFes a #o$ifie$ arvar$ architecture for see$ an$ fle"iility.n a strict arvar$ architecture, rogra# an$ $ata #e#ory are in two searate saces,

er#itting a full overla of instruction fetch an$ e"ecution. The T6&B2@ fa#ily’s #o$ificationof the arvar$ architecture allows transfer etween rogra# an$ $ata saces, therey

increasing the fle"iility of the $evice. This #o$ification er#its coefficients store$ rogra#

#e#ory to e rea$ into the $ata '6, eli#inating the nee$ for a searate coefficient 46. talso #a!es availale i##e$iate instructions an$ suroutines ase$ on co#ute$ values.

%2-BIT ACCUMULATOR#

The T6&B2@3J@ contains a B2;it '+ an$ accu#ulator for suort of $oule;

recision two’s co#le#ent arith#etic. The '+ is a general urose arith#etic unit that

oerates on DM;it wor$s ta!en fro# the $ata '6 or $erive$ fro# i##e$iate instruction. na$$ition to the usual arith#etic instructions '+ can erfor#s 8oolean oerations, rovi$ing

the it #aniulation aility require$ of a high see$ controller. The accu#ulator stores the

outut fro# '+ an$ is often an inut to '+. t is B2;it long. The accu#ulator is $ivi$e$

into high or$er wor$(its BD;DM) an$ low or$er(itsDJ;@). nstructions are rovi$e$ for storingan$ loa$ing the high an$ lower or$er accu#ulator wor$s to #e#ory.

16 . 16-BIT PARALLEL MULTIPLIER#

The #ultilier erfor#s a DM " DM;it 2’s co#le#ent #ultilication with a B2;it

resulting in a single instruction cycle. The #ultilier consists of three units: T;registers, %;

registers an$ #ultilier array. The DM;it T;register te#orarily stores the #ultilican$ an$ the

%;register stores the B2;it ro$uct. 6ultilier values either co#e fro# the $ata #e#ory or are$erive$ i##e$iately fro# the 6%9 (#ultily i##e$iate) instruction wor$. The fast on;chi

#ultilier allows the $evice to erfor# fun$a#ental oerations such as convolution,

correlation an$ filtering. Two #ultilyAaccu#ulate instructions in the instruction set fullyutiliFes the co#utational an$wi$th of the #ultilier, allowing oth oeran$s to e rocesse$

si#ultaneously.

SHIFTERS#

8/13/2019 DSP LM15_0611


' DM;it scaling shifter is availale at the accu#ulator inut, this shifter ro$uces a left

shift of @ to DM;it on the inut $ata to accu#ulator.

T6&B2@3J@ also contains a shifter at the accu#ulator outut. This shifter rovi$es a

left shift of @ to Q, on the $ata fro# either the '33 or '33+ register.

n a$$ition one shifter at the outut of %;register , can shift the ro$uct y D or >;its

left or M;its right, efore transferring the ro$uct to accu#ulator.

DATA AND PROGRAM MEMORY#

&ince the T6&B2@3J@ uses arvar$ architecture, $ata an$ rogra# #e#ory resi$e in

two searate saces. '$$itionally T6&B2@3J@ has one #ore #e#ory sace calle$ A4

#e#ory sace. The total #e#ory caacity of T6&B2@3J@ is M>V/ each of %rogra#, 7ataan$ A4 #e#ory. The M>V/ of $ata #e#ory is $ivi$e$ into JD2 ages with each age

containing D2O wor$s. 4nly one age can e active at a ti#e. 4ne $ata age selection is $one

y setting $ata age ointer. T6&B2@3J@ has D@JM wor$s of $ual access on chi $ata #e#oryis $ivi$e$ as three loc!s 8@, 8D W 82, of which 8@ can e configure$ as rogra# or $ata

'6.

4ut of the M>V/ of total rogra# #e#ory, T6&B2@3J@ has 2V wor$s of on;chi

rogra# 46.

The T6&B2@3J@ offers two #o$es of oeration $efine$ y the state of the 63A6% in: the #icrorocessor #o$e (63A6%=D) or the #icrorocessor #o$e (63A6%=@). n the

#icrorocessor #o$e, on chi 46 is #ae$ into the #e#ory into the #e#ory sace with

u to 2V wor$s of #e#ory are e"ternal.

INTERRUPTS AND SUBROUTINES#

The T6&B2@3J@ has three e"ternal #as!ale user interruts availale for e"ternal

$evices that interrut the rocessor.

The T6&B2@3J@ contains a eight;level har$ware stac! for saving the contents of the rogra# counter $uring interruts an$ suroutine calls. nstructions are availale for saving the

$evice’s co#lete conte"t. %& an$ %4% instructions er#it a level of nesting restricte$ only

y the a#ount of availale '6.

SERIAL PORT#

' full;$ule" on chi serial ort co##unication with serial $evices such as co$ecs,

serial 'A7 converters an$ other serial syste#s. The interface signals are co#atile withco$ecs an$ #any other serial $evices with a #ini#u# of e"ternal har$ware.

INPUT AND OUTPUT#

The DM;it arallel $ata us can e utiliFe$ to erfor# A4 function in two cycles. The

A4 orts are a$$resse$ y the four +&8s on the a$$ress lines, allowing DM inut an$ DM outut

orts. n a$$ition, a olling inut for it test an$ Xu# oerations (84) an$ three interrut

ins(T@;T2) have een incororate$ for #ultitas!ing.

8/13/2019 DSP LM15_0611


8/13/2019 DSP LM15_0611


RESULT# Thus the architecture of T6&B2@3J@ is stu$ie$.

SINE WA$E GENERATION

/

/ PROGRAM DESCRIPTION#

/ The sine tale values are store$ in the rogra# #e#ory. 'ccu#ulator ' is initially loa$e$ with the starting a$$ress of the sine tale. The

rea$ an instruction, rea$s the content of the a$$ress which is store$ in acc.

That $ata is sent to the $ac an$ the acc. content is incre#ente$ to oint

to the ne"t value in the sin tale.

7'T' .&-T @

'77 .&-T DT'8+- .&-T 2@@

.##regs

.te"t&T'T:

&T6 YD>@,&T@ initialiFe the $ata age ointer

&8< 3%+ #a!e the rocessor to wor! using 7%

4% 4%

4%

4%-%:

+7 YT'8+-,' +oa$ the a$$ress first value of the sine

tale to the accu#ulator

&T6 YBQ2,'D no. of sine tale values+44%:

-'7' 7'T' rea$ the sine tale value %4T/ 7'T',@> sen$ it to the $ac

'77 YD,' incre#ent the sine tale a$$ress which

is in the accu#ulator

8' +44%,*'D; reeat the loo until all BQ2 values has een sent

8 -% reeat the aove

ote:

ZZZZ

D. 7ownloa$ the rogra# sin.asc in the rog. #e#ory a$$ress @h2. 7ownloa$ the sine tale values which is in the file $atsine.asc in the

rogra# #e#ory a$$ress 2@@h using % 2@@h co##an$ in the <T'+V.e"e

B. -"ecute the rogra# using G4 @ co##an$.

/47 @BDJ

8/13/2019 DSP LM15_0611


./47 @BQBe

./47 @BJBJ

./47 @B2fa

./47 @B@D

./47 @2$f

./47 @2Ba

./47 @2OJ2

./47 @2J>>./47 @22D>

./47 @DecJ

./47 @DJa

./47 @DQ$J

./47 @D>Ba

./47 @D@O$

./47 @c$@

./47 @@O

./47 @JBQ

./47 @DMD

./47 @f$O./47 @fQ

./47 @fJeO

./47 @f22B

./47 @eeMa

./47 @eacD

./47 @eQ2c

./47 @eBae

./47 @e@>a

./47 @$$@>

./47 @$$$

./47 @$M$a./47 @$Bfc

./47 @$D>Q

./47 @cee

./47 @ccMD

./47 @caB>

./47 @cOB

./47 @cMQD

./47 @c>$e

./47 @cBO2

./47 @c2J$

./47 @cDQD

./47 @c@f

./47 @c@>Q

./47 @c@@

./47 @c@@Q

./47 @c@>@

./47 @c@B

./47 @cDMD

8/13/2019 DSP LM15_0611


./47 @c2>O

./47 @cBMO

./47 @c>c@

./47 @cM>f

./47 @cODB

./47 @ca@a

./47 @ccBB

./47 @ceOc./47 @$DD2

./47 @$Bc>

./47 @$Me

./47 @$e

./47 @$cc2

./47 @e@@M

./47 @eBMO

./47 @eMe>

./47 @eaQO

./47 @eeDf

./47 @fD$M./47 @fJ

./47 @fM

./47 @f$B$

./47 @DDB

./47 @>e

./47 @Oa

./47 @cOB

./47 @D@>D

./47 @DBf@

./47 @DQOc

./47 @DDB./47 @DeO@

./47 @2D$2

./47 @2J@J

./47 @2ODJ

./47 @2@@

./47 @2$c>

./47 @B@Je

./47 @B2c

./47 @BJ@

./47 @BQDM

./47 @BOfD

./47 @BaQ

./47 @Bc@Q

./47 @B$>@

./47 @Be>D

./47 @Bf@O

./47 @BfJ

./47 @BfeQ

8/13/2019 DSP LM15_0611


./47 @Bfff

./47 @Bf$c

./47 @BfQ$

./47 @BeeJ

./47 @BeD2

./47 @B$@M

./47 @Bc2

./47 @Ba>Q./47 @BOM

./47 @BMD

./47 @B>a

./47 @B2J2

./47 @2f$c

./47 @2$B

./47 @2aM$

./47 @2QQa

./47 @2>MB

./47 @2D2a

./47 @D$$B./47 @DaM@

./47 @DM$>

./47 @DBB>

./47 @fO2

./47 @c2

./47 @QfQ

./47 @>2>

./47 @>e

./47 @fcQO

./47 @fOaJ

./47 @f>$O./47 @fDDM

./47 @e$M2

./47 @ee

./47 @eM2f

./47 @e2O

./47 @$fJc

./47 @$cDe

./47 @$@D

./47 @$M@O

./47 @$BBM

./47 @$@O$

./47 @ce@f

./47 @cc@

./47 @caD

./47 @cQ>

./47 @cJf

./47 @c>QQ

./47 @cB2a

8/13/2019 DSP LM15_0611


./47 @c2DJ

./47 @cDB

./47 @c@Q

./47 @c@B@

./47 @c@@B

./47 @c@DD

./47 @c@Ja

./47 @c@$e./47 @cDc

./47 @c2B

./47 @cBcB

./47 @cJ2a

./47 @cMcO

./47 @cO

./47 @caa@

./47 @cc$Q

./47 @cfBc

./47 @$Dcf

./47 @$>Oc./47 @$QQ2

./47 @$aQc

./47 @$$a

./47 @e@fM

./47 @e>M@

./47 @eQeB

./47 @eQc

./47 @ef2O

./47 @f2eB

./47 @fMa

./47 @faQ./47 @feJD

./47 @22M

./47 @Jf

./47 @c

./47 @$D

./47 @DD>

./47 @D>fJ

./47 @DOO

./47 @Dc@

./47 @DfQ2

./47 @22

./47 @2Je>

./47 @2Oea

./47 @2c

./47 @2eOB

./47 @BDD@

./47 @BBQD

./47 @BJaD

8/13/2019 DSP LM15_0611


./47 @BQaD

./47 @BM$

./47 @B@>

./47 @BcMJ

./47 @B$Oe

./47 @BeQe

./47 @BfBJ

./47 @Bf2./47 @Bff>

./47 @Bff

./47 @BfcQ

./47 @BfJO

./47 @Beaf

./47 @B$c$

./47 @BcD

./47 @BJ$

./47 @B$B

./47 @BODB

./47 @BM2@./47 @BBf

./47 @BDaM

./47 @2f2B

./47 @2cQJ

./47 @2e

./47 @2Ma@

./47 @2BQf

./47 @2@B$

./47 @Dc$e

./47 @DM>

./47 @DJ$2./47 @D22c

./47 @eQM

./47 @a2

./47 @MeJ

./47 @BDD

./47 @ffB

./47 @fMJ

./47 @fQ>

./47 @fBca

./47 @f@@

./47 @ecJ

./47 @eO$

./47 @eJB>

./47 @eDc>

./47 @$eQ@

./47 @$B

./47 @$O2O

./47 @$JBa

8/13/2019 DSP LM15_0611


./47 @$2QB

./47 @cf$M

./47 @c$MJ

./47 @c2B

./47 @cD2

./47 @cQBB

./47 @cJOO

./47 @c>D>./47 @c2$Q

./47 @cD$2

./47 @cD@M

./47 @c@Q>

./47 @c@D$

./47 @c@@D

./47 @c@Df

./47 @c@Q

./47 @cD@$

./47 @cD$

./47 @c2eB./47 @c>22

./47 @cJ

./47 @cQ>M

./47 @c2M

./47 @cBa

./47 @c$Qe

./47 @cffD

./47 @$2Of

./47 @$JJO

./47 @$O>O

./47 @$J$./47 @$eB

./47 @eDeO

./47 @eJJ

./47 @eOeB

./47 @ecOD

./47 @f@B2

./47 @fBfD

./47 @fQc

./47 @fOe

./47 @ffM>

./47 @BBa

./47 @Q@$

./47 @a$

./47 @ee

./47 @D2JB

./47 @DJfO

./47 @DO

./47 @D$@2

8/13/2019 DSP LM15_0611


./47 @2@M@

./47 @2BaD

./47 @2McD

./47 @2c

./47 @2c2

./47 @2fBe

./47 @BDf

./47 @B>DB./47 @BMBM

./47 @BO2Q

./47 @Be>

./47 @BMc

./47 @Bce

./47 @B$$Q

./47 @BeO

./47 @BfJe

./47 @Bfca

./47 @Bffc

./47 @Bff2./47 @Bfae

./47 @Bf2f

./47 @BeQM

./47 @B$OB

./47 @BcJQ

./47 @Baf>

./47 @BJ

./47 @BQOc

./47 @BJO

./47 @BBJO

./47 @B@fM./47 @2eMQ

./47 @2a$

./47 @2Oc

./47 @2JcB

./47 @22

./47 @Df>e

./47 @DeQ

8/13/2019 DSP LM15_0611


/ S"UARE WA$E GENERATION

/

7'T' .&-T @ .##regs .te"t

&T'T:


&8< 3%+ #a!e the rocessor to wor! using 7% 4%

4%

4% 4%

-%:

&T Y@,7'T' sen$ @h to the $ac 3'++ 7-+'9 $elay for so#e ti#e

&T Y@555,7'T' sen$ @fffh to the $ac

3'++ 7-+'9 $elay for so#e ti#e

8 -% reeat the sa#e7-+'9:

&T6 Y@555,'D

7-+D: %4T/ 7'T',@>

8' 7-+D,*'D;

-T

TRIANGULAR WA$E GENERATION

/

7'T' .&-T @

.##regs

.te"t&T'T:


&8< 3%+ #a!e the rocessor to wor! using 7% 4%

4%

4%

4%-%:

&T Y@,7'T' initialiFe the value as @h

8/13/2019 DSP LM15_0611


3:

+7 7'T',' incre#ent the value

'77 YD,' &T+ ',7'T'

%4T/ 7'T',@> sen$ the value to the $ac

36%6 7'T',Y@555 reeat the loo until the value eco#es @fffh 83 3,T3

7-3: +7 7'T',' $ecre#ent the value &8 YD,'

&T+ ',7'T'

%4T/ 7'T',@> sen$ the value to the $ac

36%6 7'T',Y@ 83 7-3,T3 reeat the loo until the value eco#es @h

8 -% reeat the aove

/ SAWTOOTH WA$E GENERATION

/

7'T' .&-T @

.##regs

.te"t&T'T:


&8< 3%+ #a!e the rocessor to wor! using 7%

4% 4%

4% 4%

-%:

&T Y@,7'T' initialiFe the value as @h

3: +7 7'T','

'77 YD,' incre#ent the value

&T+ ',7'T'%4T/ 7'T',@> sen$ the value to the $ac

36%6 7'T',Y@555 reeat the loo until the value eco#es @fffh

83 3,T3 8 -% reeat the aove

8/13/2019 DSP LM15_0611


CON$OLUTION FOR FOUR INPUTS

/

.##regs

.te"t

&T'T:&T6 Y>@,&T@&8< 3%+

&8< 53T

4%

4% 4%

4%

&T6 Y@'@@@,'@ '@ for <(n)&T6 Y@@D@@,'D 'D for (n)

&T6 Y@'@2@,'2 '2 for te#orary location

te#orary storage locations are initially Fero+7 Y@,'

%T Y>

&T+ ',*'2L

&T6 Y@'@@>,'@ a$$ing of Feros after "(n)+7 Y@,'

%T YJ

&T+ ',*'@L&T6 Y@'@@@,'@

&T6 Y@'@2@,'2

&T6 Y@'@B@,'B location for storing outut 9(n)

&T6 YM,83 counter for nu#er of 9(n)%T8 340 start of the rogra#

+7 *'@L,'&T6 Y@'@2@,'2

&T+ ',*'2

&T6 Y@'@2B,'2

+7 Y@,'

%T YB

6'37 *'2;,@D@@,'340&T+ ',*'BL

+T: 8 +T

8/13/2019 DSP LM15_0611


****************************************************************************%T: <(n) 7'T' 6-649

@'@@@ @@@D

@'@@D @@@B @'@@2 @@@D @'@@B @@@B

%T: (n) %4G'6 6-649

@@D@@ @@@@ h(n)

@@D@D @@@D

@@D@2 @@@2 @@D@B @@@D

4T%T 9(n) 7'T' 6-649 @'@B@ @@@D

@'@BD @@@J

@'@B2 @@@O

@'@B> @@@O @'@BJ @@@Q

@'@BM @@@B

****************************************************************************

8/13/2019 DSP LM15_0611


IMPLEMENTATION OF FIR FILTERS

/

/ LOW-PASS FILTER

/

5ilter tye : 5;+%5

/in$ow tye : ectangular win$ow

&a#ling frequency : >D!hF

3ut;off frequency : >!hFo. of tas : J2

.##regs .te"t

&T'T:

&T6 Y@Dh,&T@ &8< 3%+

&8< 53T

4%

4% &T6 YDJ@,'D

+7 Y@,'

%T YB> &T+ ',*'DL

+44%:

%4T @M,@

3VR8&9: %4T @Q,@

8T5 @,Y2@ 83 3VR8&9,T3

%4T @>,@

+7 @,'

'7 Y@555,' <4 Y@O@@,'

&8 YO@@,'

&T6 YDJ@,'D &T+ ',*'D

&T6 YDOB,'2

+7 Y@,' %T YBB

6'37 *'2;,T'8+-,'

&T ',D,@

+7 @,' '77 YO@@,'

&T+ ',D

8/13/2019 DSP LM15_0611


%4T/ D,@>

8 +44%

fs = >D!hF fc = >!hF = J2T'8+-:

.wor$ @D5

.wor$ @D@- .wor$ @D'8

.wor$ @D8> .wor$ @DDQ .wor$ @

.wor$ @5-37

.wor$ @57--

.wor$ @5732 .wor$ @5-M-

.wor$ @5537

.wor$ @DM5 .wor$ @23@

.wor$ @BBB

.wor$ @2Q> .wor$ @Q

.wor$ @5-D

.wor$ @5838

.wor$ @5'8 .wor$ @58JB

.wor$ @5-J@

.wor$ @BM2 .wor$ @3J

.wor$ @D@>O

.wor$ @DJ

.wor$ @DOJ .wor$ @DOJ

.wor$ @DJ .wor$ @D@>O

.wor$ @3J

.wor$ @BM2

.wor$ @5-J@ .wor$ @58JB

.wor$ @5'8

.wor$ @5838 .wor$ @5-D

.wor$ @Q

.wor$ @2Q> .wor$ @BBB

.wor$ @23@

.wor$ @DM5

.wor$ @5537 .wor$ @5-M-

.wor$ @5732

8/13/2019 DSP LM15_0611


.wor$ @57--

.wor$ @5-37

.wor$ @ .wor$ @DDQ

.wor$ @D8>

.wor$ @D'8 .wor$ @D@-

.wor$ @D5

8/13/2019 DSP LM15_0611


/

/ HIGH PASS FIR FILTER

/

&a#ling freq : >B!hF3ut;off freq : 2!hF

: J25ilter tye : igh ass filter /in$ow tye : ectangular

%rogra# 7escrition:

D. 6a!e all the "(n) Fero initially2. ea$ the $ata fro# the a$c.

B. &tore the a$c $ata in "(@)

>. 6a!e the ointer to oint the "(nRen$)J. %erfor# the convolution of "(n) an$ the coefficients h(n) using

6'37 instruction.

M. &en$ the convolution outut to the $acQ. eeat fro# ste 2.

.##regs

.te"t&T'T:

&T6 Y@Dh,&T@ intialiFe the $ata age ointer

&8< 3%+ 6a!e the rocessor to wor! using 7% &8< 53T reset the fractional #o$e it

4%

4%

*****loo to #a!e all "(n) Fero initially***** &T6 YDJ@,'D initialiFe arD to oint to "(n)

+7 Y@,' #a!e acc Fero %T YB>

&T+ ',*'DL #a!e all "(n) Fero

*****to rea$ the a$c $ata an$ store it in "(@)*****

+44%: %4T @M,@ start of conversion

3VR8&9:

%4T @Q,@ chec! for usy 8T5 @,Y2@

83 3VR8&9,T3

%4T @>,@ rea$ the a$c $ata +7 @,'

'7 Y@555,' '7 a$c $ata with @fffh for D2 it a$c

<4 Y@O@@,' recorrect the 2?s co#le#ent a$c $ata

&8 YO@@,' re#ove the $c shift &T6 YDJ@,'D initialiFe arD with "(@)

&T+ ',*'D store a$c $ata in "(@)

8/13/2019 DSP LM15_0611


&T6 YDOB,'2 initialiFe ar2 with "(nRen$)

*****start of convolution*****

+7 Y@,' su# is @ initially %T YBB

6'37 *'2;,T'8+-,' convolution rocess

&T ',D,@ +7 @,'

'77 YO@@,' a$$ the $c shift to the convolution outut &T+ ',D %4T/ D,@> sen$ the outut to the $ac

8 +44%

T'8+-:.wor$ @53-5

.wor$ M2

.wor$ @57J@ .wor$ D>'

.wor$ @5-D8

.wor$ 2O5 .wor$ @55DD

.wor$ B-J

.wor$ @557D

.wor$ >-3 .wor$ @555J

.wor$ J>5

.wor$ @552O .wor$ >7'

.wor$ @57BO

.wor$ BO

.wor$ @5'2- .wor$ D77

.wor$ @5M2Q .wor$ JJ

.wor$ @5DBD

.wor$ >8

.wor$ @-'M7 .wor$ JMO

.wor$ @7J@

.wor$ >J- .wor$ >J-

.wor$ @7J@

.wor$ JMO .wor$ @-'M7

.wor$ >8

.wor$ @5DBD

.wor$ JJ .wor$ @5M2Q

.wor$ D77

8/13/2019 DSP LM15_0611


.wor$ @5'2-

.wor$ BO

.wor$ @57BO .wor$ >7'

.wor$ @552O

.wor$ J>5 .wor$ @555J

.wor$ >-3 .wor$ @557D .wor$ B-J

.wor$ @55DD

.wor$ 2O5

.wor$ @5-D8 .wor$ D>'

.wor$ @57J@

.wor$ M2 .wor$ @53-5

8/13/2019 DSP LM15_0611


/

/ BAND PASS FIR FILTER

/

&a#ling freq : >B!hF

3ut;off freqD : 2!hF3ut;off freq2 : >!hF

: J25ilter tye : 8an$ ass filter /in$ow tye : ectangular

%rogra# 7escrition:

D. 6a!e all the "(n) Fero initially2. ea$ the $ata fro# the a$c.

B. &tore the a$c $ata in "(@)

>. 6a!e the ointer to oint the "(nRen$)J. %erfor# the convolution of "(n) an$ the coefficients h(n) using

6'37 instruction.

M. &en$ the convolution outut to the $acQ. eeat fro# ste 2.

.##regs

.te"t&T'T:

&T6 Y@Dh,&T@ intialiFe the $ata age ointer

&8< 3%+ 6a!e the rocessor to wor! using 7% &8< 53T reset the fractional #o$e it

4%

4%

*****loo to #a!e all "(n) Fero initially***** &T6 YDJ@,'D initialiFe arD to oint to "(n)

+7 Y@,' #a!e acc Fero %T YB>

&T+ ',*'DL #a!e all "(n) Fero

*****to rea$ the a$c $ata an$ store it in "(@)*****

+44%: %4T @M,@ start of conversion

3VR8&9:

%4T @Q,@ chec! for usy 8T5 @,Y2@

83 3VR8&9,T3

%4T @>,@ rea$ the a$c $ata +7 @,'

'7 Y@555,' '7 a$c $ata with @fffh for D2 it a$c

<4 Y@O@@,' recorrect the 2?s co#le#ent a$c $ata

&8 YO@@,' re#ove the $c shift &T6 YDJ@,'D initialiFe arD with "(@)

&T+ ',*'D store a$c $ata in "(@)

8/13/2019 DSP LM15_0611


&T6 YDOB,'2 initialiFe ar2 with "(nRen$)

*****start of convolution*****

+7 Y@,' su# is @ initially %T YBB

6'37 *'2;,T'8+-,' convolution rocess

&T ',D,@ +7 @,'

'77 YO@@,' a$$ the $c shift to the convolution outut &T+ ',D %4T/ D,@> sen$ the outut to the $ac

8 +44%

T'8+-: .wor$ 2@O

.wor$ 2JQ

.wor$ 2DO .wor$ D>B

.wor$ @

.wor$ @5-- .wor$ @57Q'

.wor$ @53-Q

.wor$ @57@O

.wor$ @577D .wor$ @5--3

.wor$ @55->

.wor$ B7 .wor$ @55'D

.wor$ @5753

.wor$ @58O5

.wor$ @5O-3 .wor$ @5M7>

.wor$ @5M@O .wor$ @5QDB

.wor$ @5'2D

.wor$ @5--M

.wor$ >'Q .wor$ @'M@

.wor$ @-5O

.wor$ DDOQ .wor$ DDOQ

.wor$ @-5O

.wor$ @'M@ .wor$ >'Q

.wor$ @5--M

.wor$ @5'2D

.wor$ @5QDB .wor$ @5M@O

.wor$ @5M7>

8/13/2019 DSP LM15_0611


.wor$ @5O-3

.wor$ @58O5

.wor$ @5753 .wor$ @55'D

.wor$ B7

.wor$ @55-> .wor$ @5--3

.wor$ @577D .wor$ @57@O .wor$ @53-Q

.wor$ @57Q'

.wor$ @5--

.wor$ @ .wor$ D>B

.wor$ 2DO

.wor$ 2JQ .wor$ 2@O

8/13/2019 DSP LM15_0611


IMPLEMENTATION OF IIR FILTERS

5ilter tye : L+ 3** 57

5ilter or$er : 25ilter $esign tye : 8utterworth

%ass an$ attenuation : B$5irst corner freq : @.2&econ$ corner freq : @.2>

&a#ling freq : J@VhF

3ut;off freq : D@VhF

546 %37&% 34-553-T&

< .&-T @

<6D .&-T D

<62 .&-T 29 .&-T B

96D .&-T >

962 .&-T J

<D .&-T M<D6D .&-T Q

<D62 .&-T O

9D .&-T 9D6D .&-T @'

9D62 .&-T @8

T-6% .&-T @3

'D@ .&-T @D@@'DD .&-T @55'2

'D2 .&-T @@B28D@ .&-T @D@@

8DD .&-T @2@@

8D2 .&-T @D@@

.##regs .te"t

&T'T:

&T6 Y>@,%6&T &8< 3%+

&T6 Y@D,&T@

&8< 53T 4%

4%

4%

initialiFe "n,"(n;D),"(n;2),yn,y(n;D),y(n;2) &T Y@,<

&T Y@,<6D

8/13/2019 DSP LM15_0611


&T Y@,<62

&T Y@,9

&T Y@,96D &T Y@,962

&T Y@,<D

&T Y@,<D6D &T Y@,<D62

&T Y@,9D &T Y@,9D6D &T Y@,9D62

-%-'T:

to rea$ $ata fro# '73

%4T @M,2@ start of conversion3VR8&9: chec! status

%4T @Q,2@

8T5 2@,Y2@ 83 3VR8&9,T3

%4T @>,2@ rea$ '73 $ata

+7 2@,' '7 Y@555,'

<4 Y@O@@,' to correct 2?s co#le#ent

&8 YO@@,'

&T+ ',< "n &T+ ',T-6%

+7 Y@,8 su# = 8 = @ +7 Y8D@,' @ = T

&T+6 ',T

6%9 <,' @*"n = '

&5T+ ',;O '77 ',8 @*"n =8

+7 Y8DD,' @ = T

&T+6 ',T

6%9 <6D,' @*"n = '

&5T+ ',;O '77 ',8 @*"n =8

+7 Y8D2,' @ = T&T+6 ',T

6%9 <62,' @*"n = '

&5T+ ',;O '77 ',8 @*"n =8

+7 Y'DD,' @ = T

&T+6 ',T 6%9 96D,' @*"n = '

&5T+ ',;O

8/13/2019 DSP LM15_0611


&8 ',8 @*"n =8

+7 Y'D2,' @ = T&T+6 ',T

6%9 962,' @*"n = '

&5T+ ',;O &8 ',8 @*"n =8

&T+ 8,9 &T+ 8,<D

+7 96D,'

&T+ ',962

+7 9,' &T+ ',96D

+7 <6D,'

&T+ ',<62 +7 <,'

&T+ ',<6D

+7 9,'

'77 YO@@,'

&T+ ',9

%4T/ 9,@> 8 -%-'T

8/13/2019 DSP LM15_0611


5ilter tye : H89 3** 57

5ilter or$er : 25ilter $esign tye : 8utterworth

%ass an$ attenuation : B$

5irst corner freq : @.2&econ$ corner freq : @.2>

&a#ling freq : J@VhF3ut;off freq : D@VhF

546 %37&% 34-553-T&

< .&-T @<6D .&-T D

<62 .&-T 2

9 .&-T B96D .&-T >

962 .&-T J

<D .&-T M<D6D .&-T Q

<D62 .&-T O

9D .&-T

9D6D .&-T @'9D62 .&-T @8

T-6% .&-T @3

'D@ .&-T @D@@'DD .&-T @55-7

'D2 .&-T @@23

8D@ .&-T @D@@

8DD .&-T @5-@@8D2 .&-T @D@@

.##regs .te"t

&T'T:

&T6 Y>@,%6&T

&8< 3%+ &T6 Y@D,&T@

&8< 53T

4% 4%

4%


&T Y@,<6D

&T Y@,<62

&T Y@,9 &T Y@,96D

&T Y@,962

8/13/2019 DSP LM15_0611


&T Y@,<D

&T Y@,<D6D

&T Y@,<D62 &T Y@,9D

&T Y@,9D6D

&T Y@,9D62-%-'T:

to rea$ $ata fro# '73 %4T @M,2@ start of conversion3VR8&9: chec! status

%4T @Q,2@

8T5 2@,Y2@

83 3VR8&9,T3 %4T @>,2@ rea$ '73 $ata

+7 2@,'

'7 Y@555,' <4 Y@O@@,' to correct 2?s co#le#ent

&8 YO@@,'

&T+ ',< "n &T+ ',T-6%

+7 Y@,8 su# = 8 = @

+7 Y8D@,' @ = T&T+6 ',T

6%9 <,' @*"n = '

&5T+ ',;O '77 ',8 @*"n =8

+7 Y8DD,' @ = T

&T+6 ',T 6%9 <6D,' @*"n = '

&5T+ ',;O '77 ',8 @*"n =8

+7 Y8D2,' @ = T

&T+6 ',T 6%9 <62,' @*"n = '

&5T+ ',;O

'77 ',8 @*"n =8

+7 Y'DD,' @ = T

&T+6 ',T 6%9 96D,' @*"n = '

&5T+ ',;O

&8 ',8 @*"n =8

+7 Y'D2,' @ = T

&T+6 ',T

8/13/2019 DSP LM15_0611


6%9 962,' @*"n = '

&5T+ ',;O

&8 ',8 @*"n =8 &T+ 8,9

&T+ 8,<D

+7 96D,'

&T+ ',962 +7 9,' &T+ ',96D

+7 <6D,'

&T+ ',<62

+7 <,' &T+ ',<6D

+7 9,' '77 YO@@,'

&T+ ',9

%4T/ 9,@> 8 -%-'T

8/13/2019 DSP LM15_0611


5ilter tye : B3:; 3** 57

5ilter or$er : 25ilter $esign tye : 3heyshev;

%ass an$ attenuation : B$

-$ge frequencies:fD : @.D

f2 : @.D2JfB : @.DJf> : @.DQJ

&a#ling freq : J@VhF

3ut;off freqD : JVhF

3ut;off freq2 : Q.JVhF

546 %37&% 34-553-T&

< .&-T @

<6D .&-T D

<62 .&-T 29 .&-T B

96D .&-T >

962 .&-T J

<D .&-T M<D6D .&-T Q

<D62 .&-T O

9D .&-T 9D6D .&-T @'

9D62 .&-T @8

T-6% .&-T @3

'D@ .&-T @D@@'DD .&-T @5-38

'D2 .&-T @@7'8D@ .&-T @D@@

8DD .&-T @@@@

8D2 .&-T @55@@

.##regs .te"t

&T'T:

&T6 Y>@,%6&T &8< 3%+

&T6 Y@D,&T@

&8< 53T 4%

4%

4%


&T Y@,<6D

8/13/2019 DSP LM15_0611


&T Y@,<62

&T Y@,9

&T Y@,96D &T Y@,962

&T Y@,<D

&T Y@,<D6D &T Y@,<D62

&T Y@,9D &T Y@,9D6D &T Y@,9D62

-%-'T:

to rea$ $ata fro# '73

%4T @M,2@ start of conversion3VR8&9: chec! status

%4T @Q,2@

8T5 2@,Y2@ 83 3VR8&9,T3

%4T @>,2@ rea$ '73 $ata

+7 2@,' '7 Y@555,'

<4 Y@O@@,' to correct 2?s co#le#ent

&8 YO@@,'

&T+ ',< "n &T+ ',T-6%

+7 Y@,8 su# = 8 = @ +7 Y8D@,' @ = T

&T+6 ',T

6%9 <,' @*"n = '

&5T+ ',;O '77 ',8 @*"n =8

+7 Y8DD,' @ = T

&T+6 ',T

6%9 <6D,' @*"n = '

&5T+ ',;O '77 ',8 @*"n =8

+7 Y8D2,' @ = T&T+6 ',T

6%9 <62,' @*"n = '

&5T+ ',;O '77 ',8 @*"n =8

+7 Y'DD,' @ = T

&T+6 ',T 6%9 96D,' @*"n = '

&5T+ ',;O

8/13/2019 DSP LM15_0611


&8 ',8 @*"n =8

+7 Y'D2,' @ = T&T+6 ',T

6%9 962,' @*"n = '

&5T+ ',;O &8 ',8 @*"n =8

&T+ 8,9 &T+ 8,<D

+7 96D,'

&T+ ',962

+7 9,' &T+ ',96D

+7 <6D,'

&T+ ',<62 +7 <,'

&T+ ',<6D

+7 9,'

'77 YO@@,'

&T+ ',9

%4T/ 9,@> 8 -%-'T

8/13/2019 DSP LM15_0611


/ <-POINT FFT

/

%T .&-T @'2@@

-0 .&-T @'B@@3 .&-T @'>@@

T/73 .&-T @'J@@T/7& .&-T @'JJ@859 .&-T @

8593 .&-T D

7& .&-T 2

7&3 .&-T BG% .&-T >

G%3 .&-T J

&TG .&-T M&TG3 .&-T Q

V .&-T O

3T5 .&-T '< .&-T @'

8< .&-T @8

3< .&-T @3

7< .&-T @7'3687 .&-T @-

'7%83 .&-T @5

'D@ .&-T D@'DD .&-T DD

'D2 .&-T D2

'DB .&-T DB

'D> .&-T D>'T-6% .&-T DJ

8T-6% .&-T DM8B .&-T @5@@@ 82 .&-T @5@@ 8D .&-T

@@5@ 8@ .&-T @@@5 7'T' .&-T B@ T<7 .&-T

BD

.##regs .te"t

&T'T:

&T6 Y>@,%6&T &8< 3%+

&T6 YD>@,&T@

&8< 53T 4%

4%

4%

4% 3'++ 8TR-0

3'++ 3+7-

8/13/2019 DSP LM15_0611


&T YD,859

&T Y>,G%

&T Y2,7& &T YB,&TG

+7 &TG,'

&8 YD,' &T+ ',&TG3

&T6 YT/73,'@ %T YB

60%7 T'834&,*'@L

&T6 YT/7&,'@ %T YB

60%7 T'8&,*'@L

&T6 Y2,'J 'J = &T'G- +44%&TG+4%:

&T Y@,V

+7 859,' &8 YD,'

&T+ ',8593

+7 G%,'

&8 YD,' &T+ ',G%3

+7 7&,'

&T+6 ','@ &8 YD,'

&T+ ',7&3

+7 7&3,'

+7 G%,' 36%6 G%,Y> A2=OA2=>

83 4R3G,T3 +7 Y@,'

4R3G:

&T+ ',3T5

+7 G%3,' &T+6 ','B 'B = G4% +44%

&T6 Y3,'D

G%+4%: &T Y@,V ! is initially @ in all grous

+7 8593,'

&T+6 ','> '> = 85+9 +44%859+4%:

+7 *'DL@,'

3'++ 6+

+7 7&,' &T+6 ','@

+7 *'D;@,'

8/13/2019 DSP LM15_0611


3'++ '77&8

+7 V,'

'77 3T5,' &T+ ',V

8' 859+4%,*'>;

+7 7&,' &T+6 ','@

+7 *'DL@,' 8' G%+4%,*'B; 6%9 859,Y2,' 859 * 2 = 859

&T+ ',859

6%9 7&,Y2,' 7& * 2 = 7&

&T+ ',7& &T+6 ','@

+7 G%,'

&T+ ',;D,G% G% A 2 = G% 8' &TG+4%,*'J;

hlt: 8 hlt

6+: &T6 YT/73,'2

+7 V,'

&T+6 ','@

4% 4%

+7 *'2L@,'

+7 *'2,' &T+ ',3<

&T6 YT/7&,'2

+7 V,'

&T+6 ','@ +7 *'2L@,'

+7 *'2,' &T+ ',7<

+7 *'DL,'

&T+ ','<

+7 *'D;,' &T+ ',8<

+7 '<,'

&T+6 ',T 6%9 3<,' '*3

+7 8<,8

&T+6 8,T 6%9 7<,8 8*7

&8 8,' '3;87 ;C '

&T+ ',;O,'3687

+7 '<,' &T+6 ',T

6%9 7<,' '*7

8/13/2019 DSP LM15_0611


+7 8<,8

&T+6 8,T

6%9 3<,8 8*3 '77 ',8 '7L83 ;C 8

&T+ 8,;O,'7%83

+7 '3687,' &T+ ',*'DL

+7 '7%83,' &T+ ',*'D; +7 7&,'

&T+6 ','@

-T

'77&8:

+7 *'DL@,'

&T+ ','T-6% +7 *'D;@,8

&T+ 8,8T-6%

'77 ',8 &T+ 8,*'D

+7 'T-6%,'

&8 8T-6%,'

+7 *'DL@,8 &T+ ',*'D;@

+7 *'DL,'

+7 *'DL@,' &T+ ','T-6%

+7 *'D;@,8

&T+ 8,8T-6%

'77 ',8 &T+ 8,*'D

+7 'T-6%,' &8 8T-6%,'

+7 *'DL@,8

&T+ ',*'D;@

+7 *'D;,' +7 *L'D(2),'

+76 'D,'

&T+ ','D@ -T

8TR-0:

&T6 Y%T,'> &T6 Y-0,'J

&T6 Y>,'@ A2

&T6 YQ,83 ;D

%T8 -%-0 +7 *'>L@8,'

-%-0: &T+ ',*'JL

8/13/2019 DSP LM15_0611


-T

3+7-:

&T6 Y-0,'D &T6 Y3,'2

&T6 YQ,83

%T8 -%3 +7 *'DL,'

&T+ ',*'2L +7 Y@,'-%3: &T+ ',*'2L

-T

T'834&: .wor$ @@D@@

.wor$ @@@8J

.wor$ @@@@@ .wor$ @55>8

T'8&:

.wor$ @@@@@ .wor$ @55>8

.wor$ @55@@

.wor$ @55>8

***************************************************************************

%T: 7'T' 6-649

@'2@@ @Q@@

@'2@D @8@@ @'2@2 @5@@

@'2@B @8@@ @'2@> @Q@@

@'2@J @B@@

@'2@M @@@@

@'2@Q @B@@

4T%T: 7'T' 6-649

@'>@@ B@@ @'>@D @@@@

@'>@2 @@@@

@'>@B -J8@ @'>@> 55@@

@'>@J @@@@

@'>@M @@@@

@'>@Q @B8@ @'>@O @D@@

@'>@ @@@@

8/13/2019 DSP LM15_0611


@'>@' @@@@

@'>@8 53J@

@'>@3 55@@ @'>@7 @@@@

@'>@- @@@@

@'>@5 D'J@***************************************************************************

DSP LM15_0611

Documents

Transcript of DSP LM15_0611