(b) Suppose we have a time-domain signal r(t) with Fourier Transform given by X(jw) = 3+2w2w² + w². Use your knowledge of the CTFT pairs and properties to determine F{tx(t)}. Your answer should be an equation in the frequency domain.

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(b) Suppose we have a time-domain signal z(t) with Fourier Transform given by
X(jw) = 3+2w2w² + w².
Use your knowledge of the CTFT pairs and properties to determine F{tx(t)}. Your
answer should be an equation in the frequency domain.
Transcribed Image Text:(b) Suppose we have a time-domain signal z(t) with Fourier Transform given by X(jw) = 3+2w2w² + w². Use your knowledge of the CTFT pairs and properties to determine F{tx(t)}. Your answer should be an equation in the frequency domain.
Problem 4: Continuous-Time Fourier Transform Properties
(a) Use your knowledge of the CTFT pairs and properties to calculate
Jest * sin(2t) * cos3t|²dt,
where the operator indicates continuous-time convolution. Your answer should be a
real number.
Transcribed Image Text:Problem 4: Continuous-Time Fourier Transform Properties (a) Use your knowledge of the CTFT pairs and properties to calculate Jest * sin(2t) * cos3t|²dt, where the operator indicates continuous-time convolution. Your answer should be a real number.
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