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(1) Figure 1 is the illustration of the Fourier Transform pair in regard to a Rectangular pulse in the time domain and a Sinc function in the frequency domain. We want to observe the physical symptoms of the impact of time duration of rectangular pulse on the effective bandwidth and peak point. 72 G(f) τ 0 12 τ t (a) 1 g(t) G(f) Στ 0 -125 2t -25 0 1 Fig. 1: Fourier Transform pair: Rectangular pulse and Sinc function a) Mathematically derive the fourier transform of rectangular pulse described in Fig. 1-(a). It is in general notated as g(t) = rect(t/t) = П(t/t). Show your work in the report. b) Create the magnitude plot and phase plot of the spectra (Fourier Transform) for t = 10, 40, 70 [seconds]. In other words, overlap three magnitude curves for t = 10, 40, 70 in one plot; and overlap three phase curves for t = 10, 40, 70 in the other plot.

(1) Figure 1 is the illustration of the Fourier Transform pair in regard to a Rectangular pulse in the time domain and a Sinc function in the frequency domain. We want to observe the physical symptoms of the impact of time duration of rectangular pulse on the effective bandwidth and peak point. 72 G(f) τ 0 12 τ t (a) 1 g(t) G(f) Στ 0 -125 2t -25 0 1 Fig. 1: Fourier Transform pair: Rectangular pulse and Sinc function a) Mathematically derive the fourier transform of rectangular pulse described in Fig. 1-(a). It is in general notated as g(t) = rect(t/t) = П(t/t). Show your work in the report. b) Create the magnitude plot and phase plot of the spectra (Fourier Transform) for t = 10, 40, 70 [seconds]. In other words, overlap three magnitude curves for t = 10, 40, 70 in one plot; and overlap three phase curves for t = 10, 40, 70 in the other plot.

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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please do both parts, for part b do in MATLAB code and please show result, will give like

(1) Figure 1 is the illustration of the Fourier Transform pair in regard to a Rectangular pulse in the time domain and a Sinc function in the frequency domain. We want to observe the physical symptoms of the impact of time duration of rectangular pulse on the effective bandwidth and peak point. 72 G(f) τ 0 12 τ t (a) 1 g(t) G(f) Στ 0 -125 2t -25 0 1 Fig. 1: Fourier Transform pair: Rectangular pulse and Sinc function a) Mathematically derive the fourier transform of rectangular pulse described in Fig. 1-(a). It is in general notated as g(t) = rect(t/t) = П(t/t). Show your work in the report. b) Create the magnitude plot and phase plot of the spectra (Fourier Transform) for t = 10, 40, 70 [seconds]. In other words, overlap three magnitude curves for t = 10, 40, 70 in one plot; and overlap three phase curves for t = 10, 40, 70 in the other plot.
Transcribed Image Text:(1) Figure 1 is the illustration of the Fourier Transform pair in regard to a Rectangular pulse in the time domain and a Sinc function in the frequency domain. We want to observe the physical symptoms of the impact of time duration of rectangular pulse on the effective bandwidth and peak point. 72 G(f) τ 0 12 τ t (a) 1 g(t) G(f) Στ 0 -125 2t -25 0 1 Fig. 1: Fourier Transform pair: Rectangular pulse and Sinc function a) Mathematically derive the fourier transform of rectangular pulse described in Fig. 1-(a). It is in general notated as g(t) = rect(t/t) = П(t/t). Show your work in the report. b) Create the magnitude plot and phase plot of the spectra (Fourier Transform) for t = 10, 40, 70 [seconds]. In other words, overlap three magnitude curves for t = 10, 40, 70 in one plot; and overlap three phase curves for t = 10, 40, 70 in the other plot.
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