Question

Digital system is y(n)=x(n square) is linear or no linear?

Answer 1

Answer:

Explanation:

digital signal processing | system is static or dynamic | system is causal or non causal | system is linear of non linear | system is time variant or time invariant | system is stable or ... Time Variant or Time Invariant; y(n, k) = 2x(n-1-k) + x(2n - k)

Answer 2

y[n] = x(n²) is Non-causal, linear and time-invariant

To Find:

The digital system described by y[n] = x(n²) is linear or not linear?

Explanation:

• y[– 1] = x[1²] = x[1]

• y[2] = x[2²] = x[4]

• digital system described by y[n] = x(n²) is Non-causal, linear and time-invariant
• non-causal because output depends on the future value of the input for any n except 0 and 1, for example at n= –1
• Because there is no time factor term, n, in the provided equation, the system is time-invariant.

hence, y[n] = x(n²) is Non-causal, linear and time-invariant