signals and systems Given the Fourier transform (t) → sinc(f), the inverse Fourier transform ofX(f) = 400sinc(10f)e-jf is:○ 1.O 2.O 3. None of the answersx(t) = 40m(-0.5)x(t) = 4(10(t - 0.5))O 4.1x(t) = 40n(-t-510○ 5. x(t) = 4π(10t - 0.5)

Given:Fourier transform pair, ,we need to find the inverse Fourier transform of

Given the Fourier transform (t) → sinc(f), the inverse Fourier transform of X(f) = 400sinc(10f)e-jf is: 01. x(t) = 40n(-0.5) 10 x(t) = 4π(10(t - 0.5)) O 2. O 3. None of the answers O 4. t x(t) = 40m(- 1 10 5. x(t) = 4(10t - 0.5)

Given the Fourier transform (t) → sinc(f), the inverse Fourier transform of X(f) = 400sinc(10f)e-jf is: 01. x(t) = 40n(-0.5) 10 x(t) = 4π(10(t - 0.5)) O 2. O 3. None of the answers O 4. t x(t) = 40m(- 1 10 5. x(t) = 4(10t - 0.5)

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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Concept explainers

Fourier Transform

In mathematics, the Fourier transformation is a mathematical transformation that rotates responsibilities by using region or time into tasks depending on the local or temporal frequency, such as the rendering of a musical track in step with existing volumes and frequencies. The term Fourier amendment refers to each illustration of the frequency range and the mathematical functionality related to the representation of the frequency domain and the function of space or time.

Question

signals and systems

Given the Fourier transform (t) → sinc(f), the inverse Fourier transform of
X(f) = 400sinc(10f)e-jf is:
○ 1.
O 2.
O 3. None of the answers
x(t) = 40m(-0.5)
x(t) = 4(10(t - 0.5))
O 4.
1
x(t) = 40n(-
t-5
10
○ 5. x(t) = 4π(10t - 0.5)

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