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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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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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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