Periodic

Average of discrete periodic signal

Average of discrete periodic signal
  1. What is the average power of discrete periodic signal?
  2. What is a discrete periodic signal?

What is the average power of discrete periodic signal?

Power (sometimes referred to as average power)

This is equivalent to saying that the power of a periodic signal is equal to the average energy in one period in the signal. The power of a discrete-time signal x[n] is Px=limN→∞12N+1N∑n=−N|x[n]|2.

What is a discrete periodic signal?

A discrete-time signal is periodic if there is a non-zero integer p ∈ DiscreteTime such that for all n ∈ DiscreteTime, x(n + p) = x(n). Note that, somewhat counterintuitively, not all sinusoidal discrete-time signals are periodic. Consider. x(n) = cos(2π f n).

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