Table of Contents
- 1 What is the condition for periodic signal?
- 2 Can we say if a signal is periodic or non periodic by just looking at its frequency domain plot how?
- 3 How do you calculate signal period?
- 4 How do you know if a continuous signal is periodic?
- 5 What is periodic signal and non-periodic signal?
- 6 Can a non-periodic signal be considered periodic?
- 7 What is a periodic function?
- 8 How do you find the periodic signal?
What is the condition for periodic 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.
Can we say if a signal is periodic or non periodic by just looking at its frequency domain plot how?
The given signal may be periodic if its frequency spectrum having the fundamental time period repeats at regular intervals of time. The given signal is non periodic when the signal’s frequency is random and it is not defined as in sine wave or cosine wave.
What is the condition for a sum of a periodic continuous time signal to be periodic?
Explanation: The necessary and sufficient condition for a sum of a periodic continuous time signal to be periodic is that the ratio of a period of the first signal to the period of other signals should be rational.
How do you calculate signal period?
As mentioned above, the period of a periodic signal is called T0, and it is the smallest positive value of T that makes the equation x(t) = x(t+T) true for all t. The period of a signal is sometimes called one cycle of the signal.
How do you know if a continuous signal is periodic?
In mathematical terms a signal x(t) is periodic if there is a number T such that for all t Equation 10.10 holds. The smallest positive number T that satisfies Equation 10.10 is the period and it defines the duration of one complete cycle.
Is the sum of discrete time periodic signal periodic?
Is the sum of discrete time periodic signals periodic? Explanation: The sum of discrete time periodic signals always periodic because the period ratios N/N are always rational.
What is periodic signal and non-periodic signal?
On the other hand, a non-periodic signal is any signal that does not repeat itself after any period of time, however large that period may be. A periodic signal demands that the signal should repeat itself after every T (time period) time.
Can a non-periodic signal be considered periodic?
Simultaneously, any non-periodic signal can be considered periodic with a change period equal to infinity (which rarely happens) or equal to the considered time interval (often quite convenient). This assumption means that we can use the spectral analysis method of periodic processes to describe non-periodic signals.
What is the fundamental frequency of a periodic signal?
In mathematical terms a signal x (t) is periodic if there is a number T such that for all t Equation 10.10 holds. The smallest positive number T that satisfies Equation 10.10 is the period and it defines the duration of one complete cycle. The fundamental frequency of a periodic signal is given by Equation 10.11.
What is a periodic function?
However, a periodic function is a handy mathematical abstraction that makes the theoretical analysis of signals easier. For example, when expanding a signal into a Fourier series, we assume that our signal is periodic. Of course, this assumption may not be correct.
How do you find the periodic signal?
For signals where the domain is Time, Reals, Integers , or any other set that contains the sum of any two elements of the set, we can define a periodic signal. Assuming the domain is Time, a periodic signal f with period p ∈ Time is one where for all t ∈ Time f ( t) = f ( t + p ).