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sin(t-2). 2. Calculate the Fourier transform (X(jw)) of x(t): x(t) = (2) Determine @M, such that for arbitrary > @M, X(jw)=0; (3) Determine the minimal angular frequency os that satisfies Nyquist sampling theorem.

sin(t-2). 2. Calculate the Fourier transform (X(jw)) of x(t): x(t) = (2) Determine @M, such that for arbitrary > @M, X(jw)=0; (3) Determine the minimal angular frequency os that satisfies Nyquist sampling theorem.

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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2. Calculate the Fourier transform (X(jw)) of x(t): x(t) = sin(t-1) (t-1/7) π t -; (2) Determine @M, such that for arbitrary ||> @M, X(jw)=0; (3) Determine the minimal angular frequency os that satisfies Nyquist sampling theorem.
Transcribed Image Text:2. Calculate the Fourier transform (X(jw)) of x(t): x(t) = sin(t-1) (t-1/7) π t -; (2) Determine @M, such that for arbitrary ||> @M, X(jw)=0; (3) Determine the minimal angular frequency os that satisfies Nyquist sampling theorem.
Expert Solution
Step 1 - Introduction

The above question is based on the Fourier transform of sinc function and application of Nyquist stability criterion.

The Fourier transform of a sinc signal is a rectangular spectrum.

Also, we use the shifting property of Fourier transform.

Nyquist sampling theorem states that the minimum sampling frequency of a signal should be twice the maximum frequency present in the signal.

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