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What is Linear and Shift Invariance of Systems about?

This document discusses how to determine if a system is linear and shift invariant. To check for linearity, one must show that for any two input functions f1 and f2, the system H satisfies the equation H[αf1 + βf2] = αH[f1] + βH[f2]. To check for shift invariance, one must show that for any input function f, if the output is g(x)=H[f(x)], then g(x+x0)=H[f(x+x0)]. Two examples are provided for each check, with one system being linear/shift invariant and the other not.

Author

Aditya Ramesh

Language

EN