Fundamental period of $x[kn]$

1. What is its fundamental period?
2. What is the fundamental period of x n?
3. What is the period of a signal x t?

What is its fundamental period?

The fundamental period of a function is the period of the function which are of the form, f(x+k)=f(x) f(x+k)=f(x), then k is called the period of the function and the function f is called a periodic function.

What is the fundamental period of x n?

A discrete-time signal is periodic if there is a non-zero integer N ∈ discrete time such that for all n ∈ discrete time, x(n + N) = x(n). The smallest value of N is known as the fundamental period. The signal repeats after every N value.

What is the period of a signal x t?

In mathematical terms a signal x(t) is periodic if there is a number T such that for all t Equation 10.10 holds. The smallest positive number T that satisfies Equation 10.10 is the period and it defines the duration of one complete cycle.