Revision as of 10:06, 12 September 2008 by Mgoklani (Talk)

Time invariance

A system is called time invariant if the cascade

x[n]----->Time delay ----> System -----> z[n] yields the same output as x[n]----->system----->Time Delay-----> y[n]


Time Invariance check

Let us check for y[n] = x[n]^2
  • $ y[x[n-n0]] = x{[n-n0]^2} $

Also,

  • $ y[n-n0] = x{[n-n0]^2} $

Thus the above system is time invariant


Time Variance check

Let us test for

y[n]=cos[nQ]*x[n]

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