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]
- $ y[x[n-n0]]=cos[nQ]*x[n-n0] $
Also,
- $ y[n-n0]= cos[n-n0]Q* x[n-n0] $
Thus from above we can say that the system is time variant
