Is the Discrete Time System y[n] = x[n]^2 Time Invariant?

Thread starter erece
Start date Jan 20, 2012
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Discrete Invariant System Time

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The discrete time system defined by y[n] = x[n]^2 is analyzed for time invariance. The transformation shows that when the input is shifted by 'a', the output becomes y[n+a] = x[n+a]^2. This indicates that the system produces the same output for a shifted input, confirming its time invariance. However, the system is classified as non-linear due to the squaring operation. Thus, the conclusion is that it is a non-linear time-invariant system.

Jan 20, 2012

erece

the discrete time system defined by y[n]= x[n] ^ 2
Is it time varying ?
I proceeded as follows
x[n] → x[n]^2
x[n+a] → x[n+a]^2
so y[n+a] = x[n+a]^2
So according to me it is time invariant
Am i right ?

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Feb 15, 2012

blazeatron

ya ... it is a non-linear time-invariant system

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