Demonstration of Convolution sum by graphical method

Convolution is a fundamental concept in mathematics and signal processing used to combine two functions into a third function.

1.Define Objectives:

●Clearly define the objectives of the graphical demonstration, such as illustrating the convolution sum concept visually and aiding understanding for students and enthusiasts.

2.Select Tools and Platform

3.Design User Interface:

●Design an intuitive user interface that allows users to input functions𝑓(𝑥)and𝑔(𝑥)

, control parameters such as sliding speed, and visualize the convolution process.

1.Implement Graphical Representation:

●Develop the functionality to plot the input functions𝑓(𝑥) and 𝑔(𝑥)on a graph, ensuring clarity and readability.Utilize the selected plotting library to create interactive and visually appealing graphs.

2.Sliding Mechanism

3.Overlap and Multiplication:

●Visualize the product graphically, such as by shading the overlapping region or plotting the product curve.

4.Result Visualization:

●Display the resulting convolution function graphically in real-time as the convolution process unfolds.

●Provide interactive options to compare the original functions with the convolution result.

5.Interactivity and Controls:

●Incorporate interactive controls for adjusting parameters such as function parameters, sliding speed, and graph scaling.

6.Testing and Optimization:

7.Documentation and Deployment:

●Prepare comprehensive documentation explaining the convolution sum concept, the graphical demonstration, and how to use the interactive application.

●Deploy the demonstration on a web server for public access, ensuring scalability and reliability of the hosting infrastructure.