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A 12-point sequence is x (n) defined as x(n) = { 1, 2, 3, 4, 5, 6, 6, 5, 4, 3, 2, 1}. Write MATLAB programs to
(a) Determine the DFT X (k) of x(n) and plot (using stem function) its magnitude and phase.
(b) Determine the DTFT X (ejω) of x(n) and plot the magnitude and phase of X(ejω). You need to properly define the resolution of X(ejω) in the frequency domain.
(c) Verify that the above DFT is the sampled version of X(ejω). It might be helpful to combine the above two plots in one graph using the hold function.
(d) Is it possible to reconstruct the DTFT X(ejω) from the DFT of X(k)? If possible, give the necessary interpolation formula for reconstruction. If not possible, state why this construction cannot be done.
The programs generating the plots should be provided.
For the signal with four harmonics (first to fourth) that can be obtained from the script, do the following: a) Place the time domain signal for the case in which all the harmo
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Savannah says that the least common multiple of 4 and 6 is 24. Is she right or what is her mistake?
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Solve the optimality condition for each P equation against M according to the following relation: Condition for Optimality: ∇ M = λ ∇ P with respect to C and T.
The Requirement details of project are as below. I also need detail description for presentation. For the project, given the training dataset ticdata2000.txt use any method you
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hi i have this programm function [IRN,number ] = randnumbers( IRN ) IRN=int32(IRN) ITOTAL=(IRN*330)+100 ITOTAL=int32(ITOTAL); IQUOTIENT=ITOTAL/2303 IQUOTIENT=int32(IQUOTIENT);
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