Show that the Discrete fourier Transform (DFT) can be derived from the Fourier Transformshown below:X(ƒ)= = x(t)e-1²³¹ dtwhere x(t) is the signal in time domain and X(f) is the transformed signal in the frequencydomain.

Here the Fourier transform expression is given and we have to find DFT

Show that the Discrete fourier Transform (DFT) can be derived from the Fourier Transform shown below: X(S)=x(1) d where x(t) is the signal in time domain and X(f) is the transformed signal in the frequency domain.

Show that the Discrete fourier Transform (DFT) can be derived from the Fourier Transform shown below: X(S)=x(1) d where x(t) is the signal in time domain and X(f) is the transformed signal in the frequency domain.

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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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

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Show that the Discrete fourier Transform (DFT) can be derived from the Fourier Transform
shown below:
X(ƒ)= = x(t)e-1²³¹ dt
where x(t) is the signal in time domain and X(f) is the transformed signal in the frequency
domain.

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