What is Sinc Function?
Sinc function is often denoted as Sinc(x). This function is a non-periodic waveform with an interpolating graph. It is an even function with a unity area. It is popularly known as a sampling function and is widely used in signal processing and in the theory of Fourier Transforms.
Also known as sine cardinal, this function is commonly abbreviated as sinc and is defined as the ratio of sin(x) to x resulting in an oscillating graph. The value of the function at origin i.e x=0 is calculated using limits but overall the function is very useful for various analysis.
Sinc Function Graph
If we plot the graph representing the magnitude of the Sinc Function with time, the graph of the Sinc Function looks like this.
sinc(x)
As we observe, we can see that the graph Sinc Function oscillates very quickly . We also see that the is 0 for all integral values of time except at t=0, where it has a maximum value of π. This property is used largely to avoid intersymbol interference in Digital transmission systems.
If we carefully observe the shape of graph we see that the graph is symmetric about origin making it an Even function.
Sinc Function
Sinc Function is an important tool in the electronic industry. They are ubiquitous in modern electronics and are almost used in every daily appliance for analysis of various circuits working. Sinc Function is used in numerous electronic devices and systems, contributing to their design, analysis, and performance optimization.
In this Article, We will be going through the Sinc Function, First, we will start our Article with the Definition of the Sinc Function, Then we will go through the Mathematical Expression of the Sinc Function, then we will see how to generate Sinc Function. At last, We will conclude our article with Advantages, Disadvantages, Applications, and Some FAQs.
Table of Content
- What is Sinc Function?
- Mathematical Expression
- How To Generate ?
- Advantages
- Disadvantages
- Applications