Linear Convolution using Circular Convolution

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In This video we are discussing how to perform linear Convolution using Circular Convolution.

We can simplify linear Convolution using Matrix method circular Convolution.
first we have to make the length of both inputs equal to length of your output.

1.        This method is powerful analysis tool for studying LSI Systems.

2.        In this method we decompose input signal into sum of elementary signal. Now the elementary input signals are taken into account and individually given to the system. Now using linearity property whatever output response we get for decomposed input signal, we simply add it & this will provide us total response of the system to any given input signal.

3.        Convolution involves folding, shifting, multiplication and summation operations.

4.        If there are M number of samples in x(n) and N number of samples in h(n) then the maximum number of samples in y(n) is equals to M+n-1.

To study in detail about circular convolution methods- Concentric circle method and Matrix Method watch the video-

The Classroom Video of linear convolution using graphical method is given below-

The DFT Method using equation and Matrix Method is Explained in the video

The IDFT using equation and Matrix Method is explained in the video

The books for reference are-

Digital signal processing by Ramesh Babu
Digital signal processing principles algorithms and applications by John G proakis

Share your comments and doubts in this chat group.
You can find how to perform circular convolution in the video link below,

study about linear convolution with example

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#LinearConvolution

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concept is cleared now Loved your teaching

prasaadgade

Thank you so much ma’am. In the playlist for DSP, the video for the same topic is solved on the paper whereas here its done on the board. Is this the newer version of the same Ma’am?

chiraagarunkumar

Mam u save me wasting another day for same 😊😊😊😊🎂

shubhamm

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