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What is the relationship between ωx and ωy?

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in Digital Signal Processing by (829k points)
What is the relationship between ωx and ωy?

(a) ωy= ωx.I

(b) ωy= ωx/I

(c) ωy= ωx+I

(d) None of the mentioned

This question was addressed to me during an online interview.

The question is from Interpolation by a Factor I topic in portion Digital Filters Design of Digital Signal Processing

1 Answer

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Correct option is (b) ωy= ωx/I

Explanation: We know that the relationship between sampling rates is Fy=IFx and hence the frequency variables ωx and ωy are related according to the formula

ωy= ωx/I.

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