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Problem 1: Using the definition, compute the amplitude, phase (in radians), and power spectra of the following sequences: a) x(n) = cos (0.25mm) for n = 0, 1,...,4

Problem 1: Using the definition, compute the amplitude, phase (in radians), and power spectra of the following sequences: a) x(n) = cos (0.25mm) for n = 0, 1,...,4

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Problem 1: Using the definition, compute the amplitude, phase (in radians), and power spectra of the following sequences: a) x(n) = cos (0.25mm) for n = 0, 1,...,4 b) x(n) = 0.5" for n = 0, 1,...,4 Note: Represent the numerical solutions up to the 4th decimal place. For example, 4.03267 is represented as 4.0327. Answers: Note: You can check your answers using MATLAB fft function to compute the DFT. a) A = [0.0000 0.5041 0.2142 0.2142 0.5041] = [0 -0.9425 -0.3142 0.3142 0.9425] P = [0.0000 0.2541 0.0459 0.0459 0.2541] b) A = [0.3875 0.1997 0.1350 0.1350 0.1997] [0-0.5123 - 0.2063 0.2063 0.5123] P = [0.1502 0.0399 0.0182 0.0182 0.0399]
Transcribed Image Text:Problem 1: Using the definition, compute the amplitude, phase (in radians), and power spectra of the following sequences: a) x(n) = cos (0.25mm) for n = 0, 1,...,4 b) x(n) = 0.5" for n = 0, 1,...,4 Note: Represent the numerical solutions up to the 4th decimal place. For example, 4.03267 is represented as 4.0327. Answers: Note: You can check your answers using MATLAB fft function to compute the DFT. a) A = [0.0000 0.5041 0.2142 0.2142 0.5041] = [0 -0.9425 -0.3142 0.3142 0.9425] P = [0.0000 0.2541 0.0459 0.0459 0.2541] b) A = [0.3875 0.1997 0.1350 0.1350 0.1997] [0-0.5123 - 0.2063 0.2063 0.5123] P = [0.1502 0.0399 0.0182 0.0182 0.0399]
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