EE353 Pennsylvania State University Nyquist Rate Main Problem Set 7 Here is a link of the text book: are two

EE353 Pennsylvania State University Nyquist Rate Main Problem Set 7 Here is a link of the text book: are two questions in this problem set that is not on the text book. EE 353
Problem Set 6
Spring 2020
Reading Assignment: Chapters 5, 10, 11, and 12
Do the following problems from the course text:
(15 points) Problem 5.1-1
(9 points) Problem 5.1-3
(8 points) Problem 5.1-6
(12 points) Problem 5.2-3
(10 points) Use Matlab to write code to implement a primary function that will compute the
DFT. Use Matlab to write code to implement a primary function that will compute the IDFT. Do
not use any Matlab DFT or FFT functions in your implementation; write your own
implementations. Your implementations should accept a sequence of arbitrary length as the
only input argument. It should return a sequence of the same length as the input as the result.
(12 points) Write a script that tests your code. Compare your code results with the results from
the Matlab functions FFT and IFFT. Show that there are no discrepancies between the results by
plotting a graph of the difference between their results. For your DFT comparison, compare the
magnitude and phase spectrum you generate with the FFT; for your IDFT comparison to the
IFFT, compare the time sequences. As a test sequence for your DFT, use the sequence f[k] from
figure 10.1-4 for 0 ? k ? 12. Use the spectrum generated by the FFT as the test sequence for
your IDFT. Repeat your test using the input sequence f[k] = 0.9k u[k], 0 ? k ? 50.
(5 points) Problem 10.1-1
(5 points) Problem 10.1-4
(9 points) Problem 10.4-1
(8 points) Problem 10.5-1
(8 points) Problem 11.1-1
(8 points) Problem 11.1-2
(10 points) Problem 11.1-3, parts a, b, d, f, h
(8 points) Problem 11.2-3
(7 points) Problem 11.3-3
(12 points) Problem 11.3-14 parts a and c
Total – 146 points

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