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Consider time domain signals x1(t) = sin c(t) and . Convolution of x1(t) and x2(t) is ______. (in integer)
Correct answer is '0'. Can you explain this answer?
Verified Answer
Consider time domain signals x1(t) = sin c(t) and . Convolution of x1...
Given
x1(t) = sinc(t) and x2(t) = ej3πt sinc(t).
Fourier transform of rectangular function is given by,
A rect
Using duality property,
Substituting て = 2π and A = 1
Using frequency shifting property,
Since, covolution in time domain = Multiplication in frequency domain
i.e.
Hence, the convolution of x1(t) and x2(t) is 0.
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Most Upvoted Answer
Consider time domain signals x1(t) = sin c(t) and . Convolution of x1...
Given
x1(t) = sinc(t) and x2(t) = ej3πt sinc(t).
Fourier transform of rectangular function is given by,
A rect
Using duality property,
Substituting て = 2π and A = 1
Using frequency shifting property,
Since, covolution in time domain = Multiplication in frequency domain
i.e.
Hence, the convolution of x1(t) and x2(t) is 0.
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Consider time domain signals x1(t) = sin c(t) and . Convolution of x1(t) and x2(t) is ______. (in integer)Correct answer is '0'. Can you explain this answer?
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