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Consider a signal x(t) with Fourier transform X(jw). Suppose we are given the following facts: 1. x(t) is real and nonnegative. 2. F¯¹{(1 + jw)X(jw)} 3. [|X(jw)|² dw = === 2πT. Aeu(t), where A is independent of t. Determine a closed-form expression for x(t).

Consider a signal x(t) with Fourier transform X(jw). Suppose we are given the following facts: 1. x(t) is real and nonnegative. 2. F¯¹{(1 + jw)X(jw)} 3. [|X(jw)|² dw = === 2πT. Aeu(t), where A is independent of t. Determine a closed-form expression for x(t).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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This is a practice question from the Signal and Systems course of my Electrical Engineering Program.

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Consider a signal x(t) with Fourier transform X(jw). Suppose we are given the following facts: 1. x(t) is real and nonnegative. 2. F¯¹{(1 + jw)X(jw)} 3. [|X(jw)|² dw = === 2πT. Aeu(t), where A is independent of t. Determine a closed-form expression for x(t).
Transcribed Image Text:Consider a signal x(t) with Fourier transform X(jw). Suppose we are given the following facts: 1. x(t) is real and nonnegative. 2. F¯¹{(1 + jw)X(jw)} 3. [|X(jw)|² dw = === 2πT. Aeu(t), where A is independent of t. Determine a closed-form expression for x(t).
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