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Time scaling operation is also known as ___________(a) Down-sampling(b) Up-sampling(c) Sampling(d) None of the mentionedThe question was posed to me by my college professor while I was bunking the class.My enquiry is from Discrete Time Signals in section Discrete Time Signals and Systems of Digital Signal Processing

Answer»

The CORRECT choice is (a) Down-sampling

Explanation: If the signal x(N) was originally obtained by sampling a signal xa(t), then x(n)=xa(nT). Now, y(n)=x(2n)(say)=xa(2nT). Hence the time scaling operation is equivalent to changing the sampling rate from 1/T to 1/2T, that is to DECREASE the rate by a factor of 2. So, time scaling is ALSO CALLED as down-sampling.



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