What would be the fundamental period of this discrete-time 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.

1. How do you find the fundamental time period of a signal?
2. What is its fundamental period?
3. How do you calculate discrete-time signal?
4. How do you find the period of a discrete and continuous signal?
5. What is the period of the discrete sinusoidal signal?

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

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 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.

How do you calculate discrete-time signal?

A discrete time signal is denoted s(n) or sn, where n is an integer and the value of s can be real or complex. It comes from a sampling or discretization of a continuous signal s(t) with t = n∆, where ∆ > 0 is a discrete time step known as the sampling interval. A discrete signal is called digital.

How do you find the period of a discrete and continuous signal?

A periodic continuous-time signal satisfies x(t)=x(t+T0) for all t. The period T0 doesn't need to be a rational number. A periodic discrete-time signal satisfies x[n]=x[n+N] for all integers n. The period N is an integer.

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.