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1-Find the Fourier-transform (FT), for the following signals: (a) x1(n) = -8(n + 3) + 6(n-3). As this is an odd function, show that the FT is a pure imaginary function of frequency. (b) x2(n) = -5(n) +5(n-2). Calculate it in two ways, first directly, and second by relating it to the signal in the previous part, and then using the properties of the Fourier transform. (c) x3 (n) = 5(n+2)+56(n) + 6(n-2). As this is an even function, show that the FT is a real function of frequency. TY o ov

1-Find the Fourier-transform (FT), for the following signals: (a) x1(n) = -8(n + 3) + 6(n-3). As this is an odd function, show that the FT is a pure imaginary function of frequency. (b) x2(n) = -5(n) +5(n-2). Calculate it in two ways, first directly, and second by relating it to the signal in the previous part, and then using the properties of the Fourier transform. (c) x3 (n) = 5(n+2)+56(n) + 6(n-2). As this is an even function, show that the FT is a real function of frequency. TY o ov

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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Just 1a, b and c please

1-Find the Fourier-transform (FT), for the following signals: (a) x₁(n) = -8(n + 3) + 6(n-3). As this is an odd function, show that the FT is a pure imaginary function of frequency. (b) x2(n) = -5(n) +5(n-2). Calculate it in two ways, first directly, and second by relating it to the signal in the previous part, and then using the properties of the Fourier transform. (c) x3 (n) = 5(n+2)+56(n) + 6(n-2). As this is an even function, show that the FT is a real function of frequency. (d) vi(n)= (-0.9)"-¹u(n-1), (e) v₂(n)= (-0.9)" u(n-1), (f) h(n) = 2[u(n) - u(n - 80)].
Transcribed Image Text:1-Find the Fourier-transform (FT), for the following signals: (a) x₁(n) = -8(n + 3) + 6(n-3). As this is an odd function, show that the FT is a pure imaginary function of frequency. (b) x2(n) = -5(n) +5(n-2). Calculate it in two ways, first directly, and second by relating it to the signal in the previous part, and then using the properties of the Fourier transform. (c) x3 (n) = 5(n+2)+56(n) + 6(n-2). As this is an even function, show that the FT is a real function of frequency. (d) vi(n)= (-0.9)"-¹u(n-1), (e) v₂(n)= (-0.9)" u(n-1), (f) h(n) = 2[u(n) - u(n - 80)].
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