Take v(n) = {1, 2, –1}. If vi(n) = v(n) – v(-n), find the Fourier transform(FT) of v, and vị.-Is v1, an even or an odd signal? Show that its FT is a pure imaginary function of w.Find the FT of the following signals.-1 (п) — 0.9"u(п).-у(m) %3 0.9"u (п — 1).-x2(n) = 0.9¬"u(-n).-x3(n) = x1(n)+ x(2). Show that this signal is even, and its FT is a real function of w.

Given : Note: In the above mentioned questions are not interlinked to each other, hence according…

Answered: Take v(n) = {1, 2, –1}. If vi(n) = v(n)…

Take v(n) = {1, 2, –1}. If vi(n) = v(n) – v(-n), find the Fourier transform (FT) of v, and v1. -Is v1, an even or an odd signal? Show that its FT is a pure imaginary function of w.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Fourier Series

Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental frequency and harmonics) through a process called Fourier analysis.

Question

Take v(n) = {1, 2, –1}. If vi(n) = v(n) – v(-n), find the Fourier transform
(FT) of v, and vị.
-Is v1, an even or an odd signal? Show that its FT is a pure imaginary function of w.
Find the FT of the following signals.
-1 (п) — 0.9"u(п).
-у(m) %3 0.9"u (п — 1).
-x2(n) = 0.9¬"u(-n).
-x3(n) = x1(n)+ x(2). Show that this signal is even, and its FT is a real function of w.

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