Problem 2. Fourier Transform of the Impulse Consider a unit-impulse signal x(t) = 8(t) a) Find the Fourier Transform, in magnitude and phase. b) Sketch by hand the Spectral Density |X(@) and the phase LX(@) Explain in words the meaning of these plots. Create a MATLAB simulation experiment to visualize that the sum of infinitesimal cosine signals can produce an impulse.
Problem 2. Fourier Transform of the Impulse Consider a unit-impulse signal x(t) = 8(t) a) Find the Fourier Transform, in magnitude and phase. b) Sketch by hand the Spectral Density |X(@) and the phase LX(@) Explain in words the meaning of these plots. Create a MATLAB simulation experiment to visualize that the sum of infinitesimal cosine signals can produce an impulse.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![**Problem 2. Fourier Transform of the Impulse**
Consider a unit-impulse signal
\[ x(t) = \delta(t) \]
a) Find the Fourier Transform, in magnitude and phase.
b) Sketch by hand the Spectral Density \(|X(\omega)|\) and the phase \(\angle X(\omega)\). Explain in words the meaning of these plots.
c) Create a MATLAB simulation experiment to visualize that the sum of infinitesimal cosine signals can produce an impulse.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb9a7c18-65f1-48ed-bb7e-4937a04e4157%2Fe0671c8d-efe8-44e2-a831-2c932ef54b19%2Fekeup1_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 2. Fourier Transform of the Impulse**
Consider a unit-impulse signal
\[ x(t) = \delta(t) \]
a) Find the Fourier Transform, in magnitude and phase.
b) Sketch by hand the Spectral Density \(|X(\omega)|\) and the phase \(\angle X(\omega)\). Explain in words the meaning of these plots.
c) Create a MATLAB simulation experiment to visualize that the sum of infinitesimal cosine signals can produce an impulse.
Expert Solution
Step 1
Considering signal : x(t)=
a) We need to find the Fourier Transform of the signal.
b) We need to sketch the magnitude and phase spectrum of the signal.
c) We need to create a MATLAB simulation experiment to visualize that the sum of infinitesimal cosine signals can produce an impulse.
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