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The linear filtering operation followed by down sampling on x(n) is not time invariant.(a) True(b) FalseI have been asked this question by my college director while I was bunking the class.I need to ask this question from Decimation by a Factor D in section Multirate Digital Signal Procesing of Digital Signal Processing

Answer»

Right option is (a) True

Easy EXPLANATION: Given the fact that X(n) PRODUCES y(m), we note that x(n-n0) does not IMPLY y(n-n0) UNLESS n0 is a multiple of D. Consequently, the overall linear operation, that is linear filtering followed by down sampling on x(n) is not time invariant.



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