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x(1) Q1: For the signal x(t), shown in figure beside. i) Find Fourier Transform X(w) 1 ii) Sketch amplitude and phase -T T spectrum of X(w) -1

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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x(t)
Q1: For the signal x(t), shown in figure beside.
i) Find Fourier Transform X(w)
1
ii) Sketch amplitude and phase
-7
T
spectrum of X(w)
-1

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Q1: For the signal x(t), shown in figure beside. r (t) i) Find Fourier Transform X(w) 1.5 ii) Sketch amplitude and phase spectrum of X(w) 0.5
1-Find the Fourier-transform (FT), for the following signals: (a) x1(n) = -8(n + 1) + 8(n –- 1). As this is an odd function, show that the FT is a pure imaginary function of frequency. (b) x2(n) = -8(n)+8(n – 2). Calculate it in two ways, first directly, and second by relating it to the signal in the previous part, and then using the properties of the Fourier transform. (c) x3(n) = 8(n + 1) + 5 + 8(n – 1). As this is an even function, show that the FT is a real function of frequency. (d) vi(n) = (–0.9)"-lu(n – 1), (e) v2(n) = (-0.9)"u(n – 1), (f) h(n) = 2[u(n) – u(n – 80)].
Answer
The objective of this question is to find the Fourier series of the following function. The DC component of the Choose... signal is The period of the Choose... signal (in second) is The frequency of the Choose... signal ( in rad/s) is The type of the system Choose... is The value Choose... of An are The value of Bn are Choose...