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If Fx and Fy are the sampling rates of the input and output signals respectively, then what is the value of Fy/Fx?

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If Fx and Fy are the sampling rates of the input and output signals respectively, then what is the value of Fy/Fx?

(a) D/I

(b) I/D

(c) I.D

(d) None of the mentioned

I got this question during an online interview.

The origin of the question is Multirate Digital Signal Processing topic in portion Multirate Digital Signal Procesing of Digital Signal Processing

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The correct choice is (b) I/D

The explanation is: The input signal x(n) is characterized by the sampling rate Fx and he output signal y(m) is characterized by the sampling rate Fy, then

Fy/Fx = I/D

where I and D are relatively prime integers.

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