Howtosignalprocessing
- How do you find the period of a continuous signal?
- What is the period of a signal?
- How do you find the period of a discrete and continuous signal?
- What is a continuous periodic signal?
How do you find the period of a continuous 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.
What is the period of a signal?
A signal is a periodic signal if it completes a pattern within a measurable time frame, called a period and repeats that pattern over identical subsequent periods. The completion of a full pattern is called a cycle. A period is defined as the amount of time (expressed in seconds) required to complete one full cycle.
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 a continuous periodic signal?
A continuous-time signal consisting of the sum of two time-varying functions is periodic, if and only if both functions are periodic and the ratio of these two periods is a rational number. In such a case, the least common multiple of the two periods is the period of the sum signal.
