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c) Assume the Fourier transform of a function u(t) is U(@) = 6tsinc Deduce the Fourier transforms H, (@) and H, (w) of the following two waveforms constructed from u(t). h,(t) = u(t + 6) h2 (t) = u(t - 6) + 2u(t – 6) + 3u(t-6) %3D

c) Assume the Fourier transform of a function u(t) is U(@) = 6tsinc Deduce the Fourier transforms H, (@) and H, (w) of the following two waveforms constructed from u(t). h,(t) = u(t + 6) h2 (t) = u(t - 6) + 2u(t – 6) + 3u(t-6) %3D

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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(iii) Comparing the amplitude spectra of f(t) [in Q4-a)] and g(t), explain the relationship between Fourier series and Fourier transform. Assume the Fourier transform of a function u(t) is U(w) = 6tsinc. Deduce the Fourier transforms H, (ao) and H, (w) of the following two waveforms constructed from u(t). c) %3D h,(t) = u(t + 6) h2 (t) = u(t- 6) + 2u(t – 6) + 3u(t - 6) %3D Assume the Fourier transform of a function v(t) is V(@). The expression of v(t) in the time domain is d) v(t) = 1 1. and t>: Deduce the waveform v'(t) if its Fourier transform is V(w - 6).
Transcribed Image Text:(iii) Comparing the amplitude spectra of f(t) [in Q4-a)] and g(t), explain the relationship between Fourier series and Fourier transform. Assume the Fourier transform of a function u(t) is U(w) = 6tsinc. Deduce the Fourier transforms H, (ao) and H, (w) of the following two waveforms constructed from u(t). c) %3D h,(t) = u(t + 6) h2 (t) = u(t- 6) + 2u(t – 6) + 3u(t - 6) %3D Assume the Fourier transform of a function v(t) is V(@). The expression of v(t) in the time domain is d) v(t) = 1 1. and t>: Deduce the waveform v'(t) if its Fourier transform is V(w - 6).
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