Signals and Systems Assignment: Fourier Transform & Analysis
VerifiedAdded on 2023/01/23
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Homework Assignment
AI Summary
This document presents a comprehensive solution to a Signals and Systems assignment. The solution includes detailed calculations and explanations for several problems. Question 1 involves calculating the Fourier transform of a given signal and then applying Fourier transform properties. Question 2 focuses on finding the inverse Fourier transform of a given frequency-domain function. Question 3 analyzes an LTI system with a given impulse response and input signal, determining the Fourier transform of the output. Question 4 delves into the raised cosine pulse, requiring students to analyze its construction, Fourier transforms, and product in time domain. Question 5 explores energy spectral density, autocorrelation, and Parseval's theorem for a given signal, with MATLAB code for plotting and verification. Question 6 addresses the reconstruction of a sampled signal. The remaining questions touch on frequency shift properties, Fourier transform properties and the concept of real and imaginary components of a signal. The assignment covers a range of core concepts, including Fourier analysis, system analysis, and MATLAB implementation, providing a complete and insightful solution to the assignment.
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