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Consider a signal f (t) with Fourier transform F(@). Suppose we are given the following clues about the signal. Clue 1: The signal f (t) is positive and real-valued. Clue 2: The inverse Fourier transform of (3+ jw) F (@) is A e-St u(t), where A is a constant. Clue 3: The Fourier transform F(w) obeys IF (? do = 6n. -8 Using these clues, ) Determine the expression for f (t). (ii) Compute the energy of f (t). (iii) Compute the constant A.

Consider a signal f (t) with Fourier transform F(@). Suppose we are given the following clues about the signal. Clue 1: The signal f (t) is positive and real-valued. Clue 2: The inverse Fourier transform of (3+ jw) F (@) is A e-St u(t), where A is a constant. Clue 3: The Fourier transform F(w) obeys IF (? do = 6n. -8 Using these clues, ) Determine the expression for f (t). (ii) Compute the energy of f (t). (iii) Compute the constant A.

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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Consider a signal f(t) with Fourier transform F(@). Suppose we are given the following clues about the signal. Clue 1: The signal f (t) is positive and real-valued. Clue 2: The inverse Fourier transform of (3+ jw) F (@) is A e-St u(t), where A is a constant. Clue 3: The Fourier transform F(w) obeys 8. IF (@)? do = 6n. -8 Using these clues, 1) Determine the expression for f (t). (ii) Compute the energy of f (t). (iii) Compute the constant A.
Transcribed Image Text:Consider a signal f(t) with Fourier transform F(@). Suppose we are given the following clues about the signal. Clue 1: The signal f (t) is positive and real-valued. Clue 2: The inverse Fourier transform of (3+ jw) F (@) is A e-St u(t), where A is a constant. Clue 3: The Fourier transform F(w) obeys 8. IF (@)? do = 6n. -8 Using these clues, 1) Determine the expression for f (t). (ii) Compute the energy of f (t). (iii) Compute the constant A.
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