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Course: EEE 307 Experiment# 3

Section:02

Name of the experiment:Generation of FM signal.

Group: 05

1. Mustafa 2008-3-80-011

2. Khondoker Fazle Rabbi 2009-1-80-020

3. Subir Sarker 2009-1-80-023

4. Md. s!ail "ossain 2009-1-80-038

Submitted to: Shar!in R. #raSubmission Date: 08.03.2011

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Objective:

The objective of this experiment is to get familiar with the wave shape and frequenc spectrum

of frequenc modulated signal and compare the theoretical analsis with the simulated results!

Block iagra!:

Fi$ure 1% &eneration of FM si$nal.

Fi$ure 2% Module 'onne'tion for FM $eneration.

Mustafa2008-3-80-011

"$%s :

"! Calculation of #n$%& from experimental data:

'ormula:

(C ) $*!+,- . ,&/ ) "!+0*1/(C .,) 2!+3"-1/

'ormula used:

"2log"2$4& ) 5 in d6

4) "2 $5 . "2&

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'rom /ertical reading:(C .,$#2$%&& ) 7*!-8d6 ) 2!8,,0030"8

#2$%&)2!8*21,1-23

'rom chart of 6essel function of "st

9ind:#2$"!8& ) 2!100311",28

#2$"!0& ) 2!81182,"0-0

#2$"!3& ) 2!**++308""

% "!0

(C .,$#,$%&& ) 78!10d6 ) 2!*8++81"0-

#,$%&)2!*10812*30

'rom chart of 6essel function of "st 9ind:

#,$"!3& ) 2!*20"8*1*1*#,$,& ) 2!*1,3*82,30

#,$,!,& ) 2!*+1213003-1

% ,

'rom ;ori is given below:

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Expression for /C>$/oltage controlled oscillator& output is given below:C$t& ) C2? 92m$t&

@hen m$t&)2Athe frequenc of the tuned circuit is given b So for non

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6eta)"!3 (pproximated /alue of 6eta for 'B

t)2:"e70:"e7*D

mt)$*!32-.,&Fcos$,FpiFfm!Ft&D Bessage signal in time domainmplimentation for first formula start here

utH")2D

for n)7-:- utH")utH"?(cFbesselj$nA6eta&Fcos$,Fpi!FtF$fc?$nFfm&&&D

end

mplimentation for first formula end here

mplimentation for Second formula start here

utH,)(cFcos$$,FpiFfc!Ft&?$6etaFsin$,FpiFfm!Ft&&&D

mplimentation for Second formula end herefigure $"&

subplot$,""&

plot$tAutH"&

hold onplot$tAmtAI:I& I:IJotted line

legend$IuH"$t&IAIm$t&I&xlabel$Itime $t&I&

label$IuH"$t&I&

title$IuH"$t& vs time plotI&

subplot$,",&

plot$tAutH,&

hold onplot$tAmtAI:I& I:IJotted line

legend$IuH,$t&IAIm$t&I&xlabel$Itime $t&I&label$IuH,$t&I&

title$IuH,$t& vs time plotI&

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0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

x 10-3

-2

-1.5

-1

-0.5

0

0.5

1

1.5

2

time (t)

u1(t)

u1(t) vs time plot

u1(t)

m(t)

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

-3

-2

-1.5

-1

-0.5

0

0.5

1

1.5

2

time (t)

u2(t)

u2(t) vs time plot

u2(t)

m(t)

There plots of u$t& are almost similar!

Reference:

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"! Communication Sstems EngineeringA ,ndEditionD (uthor: #ohn G! Kroa9isA Basoud

Salehi

,! http:..www!mathwor9s!com.help.techdoc.ref.linespec!html

Khondoker Fazle Rabbi2009-1-80-020

&o'rce:@i9ipediaA GoogleA Communication Sstems Engineering!

$ns(er to t)e "'estion *'!ber +

(c ) 8., ) ,

#2$%& ) 2!21,,

'rom chartA #2$,& ) 2!,,*3

#,$%& ) 2!21,,

'rom chartA #,$*& ) 2!8302

(pprox! value of % ) ,!1

$ns(er to t)e "'estion *'!ber 2

http://www.mathworks.com/help/techdoc/ref/linespec.htmlhttp://www.mathworks.com/help/techdoc/ref/linespec.html

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Fi$ure 1% (asi' 'ir'uit dia$ra! of a )*+.

>utput equationA

fi$t& ) fcL" 7 $92.,C2& m$t& M

$ns(er to t)e "'estion *'!ber 3

,22+7"73272,2

t)2:,!1F"270:2!22"1(c),

fc)"2222

fm),222ut)2D

for n)7-:-

ut)ut?(cFbesselj$nA,!1&Fcos$,FpiFtF$fc?$nFfm&&D

end

plot$tAut&xlabel$ITimeI&

label$IutI&title$ITime vs utI&

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0 0.5 1 1.5

x 10-3

-2

-1.5

-1

-0.5

0

0.5

1

1.5

2

Time

u

t

Time vs ut

t)2:,!1F"270:2!22"1(c),

fc)"2222

fm),222

ut)(cFcos$,FpiFfcFt?,!1Fsin$,FpiFfmFt&&&plot$tAut&

xlabel$ITimeI&

label$IutI&title$ITime vs utI&

0 0.5 1 1.5

x 10-3

-2

-1.5

-1

-0.5

0

0.5

1

1.5

2

Time

u

t

Time vs ut

Subir Sarker2009-1-80-023

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1.

Ac = 2

J0() = 0.052

Table: J0(2) = 0.223

J2() = 0.052

Table: J2(3) = 0.4!

= 2.5

2.

3.

t=0:5"10#$!:0.001%Ac=2%&c=10000%&m=2000%uta=0%&o' n=$:

uta=utaAc"bessel*(n+2.5)"cos(2",i"t"(&c(n"&m)))%endsub,lot(2+1+1)+,lot(t+uta)%utb=Ac"cos(2",i"&c"t2.5"sin(2",i"&m"t))sub,lot(2+1+2)+,lot(t+utb)%

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0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

x 10-3

-2

-1

0

1

2

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

x 10-3

-2

-1

0

1

2