please compete using Matlab and post the code and results 6. Determine which seq

Question

please compete using Matlab and post the code and results

6. Determine which sequences are periodic. Hence, for the periodic ones, find their period average power and plot 5 periods. For part (e), show that it is possible to express the sequence using a simple formula. As for the aperiodic signals, just plot 40 samples. (a) zl(n)=2cos(H-+5) (b) r2(n) = sin( + (c) za(n)_ 4 sin(3m- (d) 24(n) = c08 ) v13 (f) xe(n) = 4 sin(?+5)cos(?) (g) 27(n) = 2sine( n). Hint: Choose-100 n 100. Hence, find the energy.

Explanation / Answer

a)

>> n=0:0.1:80;

>> x1=2*cos((pi/6)*n+(pi/4));

>> stem(n,x1);

>> N=length(n);

>> Power=(1/N)*sum(abs(x1).^2)

B)

>> n=0:0.1:80;

>> x2=sin((pi/15)*n+(pi/5));

>> stem(n,x2);

>> N=length(n);

>> Power=(1/N)*sum(abs(x2).^2

C)

>> n=0:0.1:80;

>> x3= 4*sin((pi)*3*n-(pi/2));

>> stem(n,x3);

>> N=length(n);

>> Power=(1/N)*sum(abs(x3).^2)

d)

>> n=0:0.1:80;

>> x4= cos (pi /sqrt(15)*n);

>> stem(n,x4);

>> N=length(n);

>> Power=(1/N)*sum(abs(x4).^2)

e)

>> n=0:0.1:80;

>> x5=sin((pi/4)*n)+3*cos((pi/3)*n-(pi/3));

>> stem(n,x5);

>> N=length(n);

>> Power=(1/N)*sum(abs(x5).^2)

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