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Signals x (t), h(t), and g(t) are given as follows: x(t) = −2. sin(3t) πt h(t): sin(3t) πt g(t) = − sin(3t) 1) Find the Fourier Transform of y(t), where y(t): = x(t) × h(t) + g(t). 2) What is the optimal rate at which you would sample the signal y(t) to avoid any aliasing? 3) Draw the sampled waveform in the frequency domain if you sample y(t) at your suggested sampling rate in Part 2)? ej6t = -6. -ej³t

Signals x (t), h(t), and g(t) are given as follows: x(t) = −2. sin(3t) πt h(t): sin(3t) πt g(t) = − sin(3t) 1) Find the Fourier Transform of y(t), where y(t): = x(t) × h(t) + g(t). 2) What is the optimal rate at which you would sample the signal y(t) to avoid any aliasing? 3) Draw the sampled waveform in the frequency domain if you sample y(t) at your suggested sampling rate in Part 2)? ej6t = -6. -ej³t

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Signals x (t), h(t), and g(t) are given as follows: x(t) = −2² h(t) =-2 sin(3t) πt = -6- -ej6t sin(3t) πt = -e¹³t g(t) - sin(3t) 1) Find the Fourier Transform of y(t), where y(t) = x(t) × h(t) + g(t). 2) What is the optimal rate at which you would sample the signal y(t) to avoid any aliasing? 3) Draw the sampled waveform in the frequency domain if you sample y(t) at your suggested sampling rate in Part 2)?
Transcribed Image Text:Signals x (t), h(t), and g(t) are given as follows: x(t) = −2² h(t) =-2 sin(3t) πt = -6- -ej6t sin(3t) πt = -e¹³t g(t) - sin(3t) 1) Find the Fourier Transform of y(t), where y(t) = x(t) × h(t) + g(t). 2) What is the optimal rate at which you would sample the signal y(t) to avoid any aliasing? 3) Draw the sampled waveform in the frequency domain if you sample y(t) at your suggested sampling rate in Part 2)?
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