(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)

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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