Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Can you help me question 2 and 3? Thank you. 

2. Consider the discrete-time Fourier series x[n] = ¹
Σx=¹Cke/²nk/No, where No = 6 samples and the
sequence of coefficients cx = {-1,-1, Compute and plot the resulting signal x[n] for
n = 0, ..., 17. Is the result periodic?
3. Consider a real-valued periodic discrete-time signal x[n] having period W = 4 samples. The
discrete-time Fourier series coefficients for x[n] are ck = {5, c₁,-1, −1 + j}.
a) Find the unknown Fourier series coefficient G. Hint. this problem can be solved by inspection.
b) Find the total power|x[n]² in the periodic sequence x[n].
n-0
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Transcribed Image Text:2. Consider the discrete-time Fourier series x[n] = ¹ Σx=¹Cke/²nk/No, where No = 6 samples and the sequence of coefficients cx = {-1,-1, Compute and plot the resulting signal x[n] for n = 0, ..., 17. Is the result periodic? 3. Consider a real-valued periodic discrete-time signal x[n] having period W = 4 samples. The discrete-time Fourier series coefficients for x[n] are ck = {5, c₁,-1, −1 + j}. a) Find the unknown Fourier series coefficient G. Hint. this problem can be solved by inspection. b) Find the total power|x[n]² in the periodic sequence x[n]. n-0
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