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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.
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Diary Files: Before doing this assignment, please read the document Notes on Matlab Assignments (available from the course web page). It describes how to record the results of your
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You are given data similar to the examples and sample problems in the statistics topic. Write MATLAB program to do the following: 1. Plot histogram, relative frequency histogram
A filter described by the equation: y(n) = x(n) + x(n-1) + 0.9 y(n-1) - 0.81 y(n-2) (a) Find the transfer function H(z) for the filter and find the poles and zeros of the fil
Writing data to a File: The save function can be used to write a data from the matrix to the data file, or to append a data file. The format is as shown below: save filenam
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