Distinguish Between Linear Convolution And Circular Convolution Of Tw

1.	Distinguish Between Linear Convolution And Circular Convolution Of Two Sequences?
Answer» Linear CONVOLUTION: If x(n) is a sequence of L NUMBER of SAMPLES and h(n) with M number of samples, after convolution y(n) will have N=L+M-1 samples. It can be used to FIND the response of a linear filter. Zero padding is not NECESSARY to find the response of a linear filter. Circular convolution: If x(n) is a sequence of L number of samples and h(n) with M samples, after convolution y(n) will have N=max(L,M) samples. It cannot be used to find the response of a filter. Zero padding is necessary to find the response of a filter. Linear convolution: If x(n) is a sequence of L number of samples and h(n) with M number of samples, after convolution y(n) will have N=L+M-1 samples. It can be used to find the response of a linear filter. Zero padding is not necessary to find the response of a linear filter. Circular convolution: If x(n) is a sequence of L number of samples and h(n) with M samples, after convolution y(n) will have N=max(L,M) samples. It cannot be used to find the response of a filter. Zero padding is necessary to find the response of a filter.

Distinguish Between Linear Convolution And Circular Convolution Of Two Sequences?

Answer»

If x(n) is a sequence of L NUMBER of SAMPLES and h(n) with M number of samples, after convolution y(n) will have N=L+M-1 samples.

It can be used to FIND the response of a linear filter.

Zero padding is not NECESSARY to find the response of a linear filter.

Circular convolution:

If x(n) is a sequence of L number of samples and h(n) with M samples, after convolution y(n) will have N=max(L,M) samples.

It cannot be used to find the response of a filter.

Zero padding is necessary to find the response of a filter.

Linear convolution:

If x(n) is a sequence of L number of samples and h(n) with M number of samples, after convolution y(n) will have N=L+M-1 samples.

It can be used to find the response of a linear filter.

Zero padding is not necessary to find the response of a linear filter.

Circular convolution:

If x(n) is a sequence of L number of samples and h(n) with M samples, after convolution y(n) will have N=max(L,M) samples.