Convolution and Correlation
Linear convolution is used to find output of the system whereas correlation is used to find degree of similarity of two signals.These concepts are given to us in theory of digital signal processing.In this experiment,for linear convolution,x(n) is taken as input along with impulse response h(n).The output is y(n).For length of output signal y(n) of convolution operation,we use the formula N>=L+M-1 .For length of output signal of correlation operation we use the formula N=max(L,M).In this practical,the codes for these operations were studied and then implemented.Linear convolution,circular convolution,linear convolution using circular convolution,auto-correlation and cross correlation were performed.The output obtained was then verified with the answers obtained by theoritical calculations.
Convolution is used to find out put of system
ReplyDeleteLinear convolution is used to find output of system
ReplyDeleteCorrelation is used to find degree of similarity between the signals.
ReplyDeleteCircular convolution, linear convolution and circular convolution using linear convolution are methods of convolution
ReplyDeleteIn circular convolution length of output signal is equal to the longer input signal
ReplyDeletecorrelation is widely used for speech recognition, image processing.
ReplyDelete