Time compression/expansion (also called dilation) maps the input discrete signal $x$ to the output discrete signal $y$ as given by : $$ y[n]=x[\alpha n] $$ When $\alpha>1$, the signal experiences compression. My question is :

Why would compression ever be used for discrete-time signals when it would result in the loss of information (sample points)? How would this be beneficial?

  • 2
    $\begingroup$ time compression and expansion operations are a consequence of digital sample-rate conversion algorithms. Upsamplers, Interpolators, Decimators, Downsamplers require the use of time compresseion or expansion expressions. $\endgroup$
    – Fat32
    Feb 4 '21 at 17:53
  • $\begingroup$ thank you very much for your comment I will definitely take a look at them. $\endgroup$ Feb 4 '21 at 18:01

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