The discrete-time signal f[k] below is periodic with period No = 4 samples. f[k] 3 3 3 ilialiai fil -10-9-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8 9 2 3 2 k a) Find the fundamental frequency No (in radians/sample) of this signal. >) Find the DTFS coefficients Do, D₁, D2, and D3 of this signal. Use a calculator or Matlab to simplify each coefficient to a single complex number. c) Complete the following Matlab command to show how the 4 coefficients above can be obtained using a single line of Matlab code:
The discrete-time signal f[k] below is periodic with period No = 4 samples. f[k] 3 3 3 ilialiai fil -10-9-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8 9 2 3 2 k a) Find the fundamental frequency No (in radians/sample) of this signal. >) Find the DTFS coefficients Do, D₁, D2, and D3 of this signal. Use a calculator or Matlab to simplify each coefficient to a single complex number. c) Complete the following Matlab command to show how the 4 coefficients above can be obtained using a single line of Matlab code:
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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![¹The discrete-time signal f[k] below is periodic with period No = 4 samples.
f[k]
3
3
3
3
2
2
hiluili
-10-9-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8 9
k
(a) Find the fundamental frequency No (in radians/sample) of this signal.
(b) Find the DTFS coefficients Do, D₁, D2, and D3 of this signal. Use a calculator or Matlab
to simplify each coefficient to a single complex number.
(c) Complete the following Matlab command to show how the 4 coefficients above can be
obtained using a single line of Matlab code:
>> ??? * fft([??? ??? ??? ???])](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc012e98d-11f3-4ebf-9e91-31a87ace6c91%2F753f7ba4-9fb4-40d9-be7f-194c69b51a59%2F2ts3yzm_processed.png&w=3840&q=75)
Transcribed Image Text:¹The discrete-time signal f[k] below is periodic with period No = 4 samples.
f[k]
3
3
3
3
2
2
hiluili
-10-9-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8 9
k
(a) Find the fundamental frequency No (in radians/sample) of this signal.
(b) Find the DTFS coefficients Do, D₁, D2, and D3 of this signal. Use a calculator or Matlab
to simplify each coefficient to a single complex number.
(c) Complete the following Matlab command to show how the 4 coefficients above can be
obtained using a single line of Matlab code:
>> ??? * fft([??? ??? ??? ???])
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