This is a practice question from the Signal and Systems course of my Electrical Engineering Program.Could you please walk me through the steps for solving this?Thank you for your assistance. Consider a signal x(t) with Fourier transform X(jw). Suppose we are given thefollowing 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).

The equation of x(t) will be:x(t)=12(e−t−e−2t)u(t)The value of A will be:A=12Explanation:

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)

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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Question

This is a practice question from the Signal and Systems course of my Electrical Engineering Program.

Could you please walk me through the steps for solving this?

Thank you for your assistance.

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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