EDIT for the comment received: fs1 and fs2 are the sampling frequencies in the d

Question

EDIT for the comment received: fs1 and fs2 are the sampling frequencies in the diagram. The H(z) is also seen in the diagram.

Consider the system shown in the following figure with M 147. S1 S2 S2 a. Derive an equation for the Fourier transform of the output, Y(el), in terms Fourier transform of the input, X(e, and the filter response, H(el Consider a sinusoidal input signal with a frequency of 10kHz. Enumerate the frequencies of all sinusoidal input signals that will alias to 10kHz at the system outpu b.

Explanation / Answer

a. Y(ejw2)= X (ejw1) * H(ejw)

b. According to sampling theorem , when sampling freq is greater than twice of input freq there is no aliasing occurs and so happens in this case as-

48kHz > 2* 10 kHz

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