Fundamental period of discrete time signal

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.

1. What is fundamental period of signal?
2. How do you find the fundamental period of a signal example?
3. What are discrete-time periods?
4. What is the period of the discrete sinusoidal signal?

What is fundamental period of signal?

The fundamental period is the least common multiple of T1 and T2. Now least common multiple of T1=3 and T2=7 is 21. Therefore, the fundamental period (T) = 21. (ii) x[n]=cos2[π4n]

How do you find the fundamental period of a signal example?

Periodic Functions

x(t) = x(t + nT). The minimum value of T that satisfies x(t) = x(t + T) is called the fundamental period of the signal and we denote it as T₀. Examples of periodic signals are infinite sine and cosine waves. Examples: Given x₁(t) = cos(3t), and x₂(t) = sin(5t).

What are discrete-time periods?

Discrete time views values of variables as occurring at distinct, separate "points in time", or equivalently as being unchanged throughout each non-zero region of time ("time period")—that is, time is viewed as a discrete variable.

What is the period of the discrete sinusoidal signal?

The fundamental period is 12 which corresponds to k = 1 envelope cycles. Professor Deepa Kundur (University of Toronto) Discrete-Time Sinusoids.