The aim of the experiment was to study mathematical operations like Convolution and Correlation.
Convolution is the process of computing the output, , of a Linear Time Invariant system to a given arbitrary input via its impulse response , , summarized in the notation of :
It is further classified into two -
1. Linear Convolution
The length of the output signal is N where N=L+M-1 . It is used to determine response of a system when a non - periodic input is applied.
2. Circular Convolution
The length of the output signal is N=max(L,M). It is used to determine response of a system when a periodic input is applied
(L - Length of input signal i.e x[n] , M - Length of impulse response i.e h[n] ).
Correlation is a process of determining similarity between two input signals.
Convolution is the process of computing the output, , of a Linear Time Invariant system to a given arbitrary input via its impulse response , , summarized in the notation of :
1. Linear Convolution
The length of the output signal is N where N=L+M-1 . It is used to determine response of a system when a non - periodic input is applied.
2. Circular Convolution
The length of the output signal is N=max(L,M). It is used to determine response of a system when a periodic input is applied
(L - Length of input signal i.e x[n] , M - Length of impulse response i.e h[n] ).
Correlation is a process of determining similarity between two input signals.
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ReplyDeleteConvolution is used to determine the output of a system.
ReplyDeletewell written.correlation is used to find the degree of similarity between 2 signals
ReplyDeleteConvolution is used to find output in time domain. For evaluating output in frequency domain,transfer functions are used.
ReplyDeletecorrelation is widely used for speech recognition, image processing.
ReplyDeleteIt is also used in radar system, where transmitted signal is correlated with echo signal to locate position of target
ReplyDeleteThe experiment was performed by executing C program.Linear convolution gives output of a system
ReplyDeleteConvolution is used in image processing
ReplyDeletewe use Linear convolution for non periodic sequence and Circular convolution for periodic sequence.
ReplyDeleteThe output of the convolution has the length L+M-1 (where L = Length of x[n] , M = Length of h[n] ).
ReplyDeleteIn circular convolution,Length 2 signals should be exactly same. To obtain this zero padding is done.
ReplyDeleteWhat are the applications of co-relation
ReplyDeleteCorrelation application are speech processing and recognition, image processing
ReplyDelete