Please find the following in Matlab
1.The sequence x [ n ] = 1/(2^n) , 0 ≤ n ≤ 5. Calculate the z-transform of it.
SOURCE CODE:
X=0; %initializing X with 0
for n=0:5 %for loop upto 0<=n<=5
%calculating z-transforming of the sequence
X=X+(1/power(2,n))*sym('Z')^(-n);
end
disp(X); %displaying z-transforming of the sequence
CODE SCREENSHOT:

OUTPUT:

Please find the following in Matlab 1.The sequence x [ n ] = 1/(2^n) , 0...
Let the sequence: x[n]= { (a^n)*sin(nw), a>0 known constant, n ∈ N0 else x[n]=0 Find with a direct calculation (without using the transformation matrix Z) the transform Z of x [n], its convergence pass, the roots (zeroes) and its poles.
1. Consider the following sequence (The bold large size element is at n = 0) x(n) = { ----- 0,0,01, 1, 1, 1, 1, 0, 0, 0------}. It has the period of N=8. a. Find (in closed form) and sketch the complex exponential Fourier series coefficients (Magnitude and Phase). Verify using Matlab. Include code and graphics. b. Find the energy in this sequence first using the sequence in the time domain, and then using the DTFS coefficients. Verify using Matlab....
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PLEASE ANSWER ASAP a- Evaluate fft , X(k), of the sequence x(n) defined as x(0)=0.8, x(1)=0.4, x(2) = -0.4 and x(3) = -0.2. b- Verify your calculation using Matlab.
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please answer them indetail. thanks
4. Let x(n) be a causal sequence. a) b) what conclusion can you draw about the value of its z-transform x(z) at z 00, Use the result in part (a) to check which of the following transforms cannot be associated with a causal sequence (z-1* (z (1-^2-1)- i, x(z) = 321) iii, x(z) = A causal pole-zero system is BIBO stable if its poles are inside the unit circle. Consider now a pole- zero system...
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