No-1 2. Consider the discrete-time Fourier series x[n] = k¹ce/2nk/No, where No = 6 samples and the sequence of coefficients CK =-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 a. Hint: this problem can be solved by inspection. N-I b) Find the total powerx[] in the periodic sequence x[n]. n=0
No-1 2. Consider the discrete-time Fourier series x[n] = k¹ce/2nk/No, where No = 6 samples and the sequence of coefficients CK =-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 a. Hint: this problem can be solved by inspection. N-I b) Find the total powerx[] in the periodic sequence x[n]. n=0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc23eb98a-2dff-445f-a3f1-279aad19fd90%2F51deef16-f3fc-443c-b7d9-158782164a16%2Fk5lmln_processed.png&w=3840&q=75)
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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