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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 69E
icon
Related questions
Question

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
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
Expert Solution
steps

Step by step

Solved in 3 steps with 11 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning