# Why do we use compression for discrete siganls?

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?

• 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. Feb 4 '21 at 17:53
• thank you very much for your comment I will definitely take a look at them. Feb 4 '21 at 18:01