What is a 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.

1. Is fundamental period the same as period?
2. What is the fundamental period of the waveform?
3. What is the fundamental period of a constant function?

Is fundamental period the same as period?

A function f:R→R is periodic if there exists a T≠0 for which f(x+T)=f(x) for all x∈R. Such a T is called a period. If there is a minimum period, T0, then this is called the fundamental period.

What is the fundamental period of the waveform?

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 the fundamental period of a constant function?

Constant functions are periodic functions with no fundamental period.