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4.3. (a) Determine whether the functions given can be represented by a Fourier series. (i) x(t) = cos(31) + sin(51) (ii) x(t) = cos(t) + sin(t) (iii) x(t) = cos(21) + sin (41) + e (iv) x(t) = 2 cos(4r + 30°) - 5 cos (61-45°) (v) x(t) = |6 cos(4#1)|| (b) For those signals in Part (a) that can be represented by a Fourier series, find the coefficients of all harmonics, expressed in exponential form.

4.3. (a) Determine whether the functions given can be represented by a Fourier series. (i) x(t) = cos(31) + sin(51) (ii) x(t) = cos(t) + sin(t) (iii) x(t) = cos(21) + sin (41) + e (iv) x(t) = 2 cos(4r + 30°) - 5 cos (61-45°) (v) x(t) = |6 cos(4#1)|| (b) For those signals in Part (a) that can be represented by a Fourier series, find the coefficients of all harmonics, expressed in exponential form.

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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4.3. (a) Determine whether the functions given can be represented by a Fourier series. (i) x(t) = cos(31) + sin(51) (ii) x(t) = cos(t) + sin(t) (iii) x(t) = cos(21) + sin (41) + e (iv) x(t) = 2 cos(4r + 30°) - 5 cos (61-45°) (v) x(t) = |6 cos(4#1)|| (b) For those signals in Part (a) that can be represented by a Fourier series, find the coefficients of all harmonics, expressed in exponential form.
Transcribed Image Text:4.3. (a) Determine whether the functions given can be represented by a Fourier series. (i) x(t) = cos(31) + sin(51) (ii) x(t) = cos(t) + sin(t) (iii) x(t) = cos(21) + sin (41) + e (iv) x(t) = 2 cos(4r + 30°) - 5 cos (61-45°) (v) x(t) = |6 cos(4#1)|| (b) For those signals in Part (a) that can be represented by a Fourier series, find the coefficients of all harmonics, expressed in exponential form.
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