Fundamental period of discrete-time signal examples

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

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

Detailed Solution. Concept: 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.

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 the examples of discrete-time signals?

Discrete-time signal: the variable of time is discrete. The weekly Dow Jones stock market index is an example of discrete-time 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]