What is Periodic Signal ?

Periodic signals are a type of electrical signals which repeat their behaviour after a certain interval of time known as time period. It is also know as a cyclic function and the part of function which repeats is called a cycle. For example, a sine wave, in which the signal has a unique behaviour from t=0s to t=2π s .After this we observe that the waveform begins to repeat . This means that sine wave is a periodic signal with a time period of 2π seconds.

Periodic Signal Graph

If we plot the graph representing the magnitude of periodic signal with time ,the graph of periodic signal looks like this:

Triangular Waves

As we observe, we can see that a triangular signal is an example of a periodic signal. We see that the signal repeats after a fixed interval of time i.e after T seconds hence it is a periodic signal.

If we carefully observe the shape of graph we see that the graph shows a unique behaviour for first T seconds . It rises linearly for the first half of the cycle and then decreases linearly for another half of the cycle. After this interval a cycle is completed and the graph begins repeating its behaviour in cycles of T seconds.

Periodic Signals

Periodic Signals are an important tool in the electronic industry. They are unavoidable in modern electronics and are almost used in every daily appliance for generating signals that repeat their behavior after a certain period. In this article, we will study what is a periodic signal, how does it looks like. We will also represent the Periodic signal mathematically. Later we will discuss the advantages, disadvantages, and some applications of Periodic Electronic Signal. We will conclude the article by summing up what we have learned. The electronics industry especially the communication system uses these signals in various circuits and readers can read about these other signals as well.

Table of Content

  • What is Periodic Signal ?
  • Periodic Signal Graph
  • Mathematical Expression of Periodic Signal
  • Types of Periodic Signals
  • Difference Between Periodic Signal and Non Periodic Signal
  • Properties of Periodic Signal
  • Advantages of Periodic Signals
  • Disadvantages of Periodic Signals
  • Applications of Periodic Signals
  • Solved Examples
  • Conclusion
  • FAQs on Periodic Signals

Similar Reads

What is Periodic Signal ?

Periodic signals are a type of electrical signals which repeat their behaviour after a certain interval of time known as time period. It is also know as a cyclic function and the part of function which repeats is called a cycle. For example, a sine wave, in which the signal has a unique behaviour from t=0s to t=2π s .After this we observe that the waveform begins to repeat . This means that sine wave is a periodic signal with a time period of 2π seconds....

Fourier Series

It is important to study about general formulas of Fourier series before expressing a periodic signal using Fourier series....

Mathematical Expression of Periodic Signal

Let there be a periodic signal y(t) of continuous time t , which repeats with a period T seconds. It means that the value of signal after a time interval which is multiple of time period T will be same as the value of signal at time t....

Types of Periodic Signals

There are various types of periodic signals, each having a different graphical representation:...

Difference Between Periodic Signal and Non Periodic Signal

The difference between period and aperiodic signals:...

Properties of Periodic Signal

Here are some properties of periodic signal:...

Advantages of Periodic Signals

The advantages of periodic signals are stated below:...

Disadvantages of Periodic Signals

The limitations of periodic signal are stated below:...

Applications of Periodic Signals

Periodic signal is used in various applications like:...

Solved Examples

Find the Fundamental Frequency of signal v(t)=30sin(100t)+10cos(300t)+6sin(500t+????/4)...

Conclusion

As we have seen that periodic signals play an important role in modern electronics. We have already discussed the cyclic nature of these signals along with other properties. As we discuss the uses of this signal we realize it is used in modulating signals and as an input signal to various circuits in communication system for various purposes. These applications signify the need to find appropriate methods to generate periodic signals. There are different methods to generate these signals and they have been stated to the readers. There are various examples of periodic signals each used for a different use....

FAQs on Periodic Signals

1. What are Periodic waveforms?...