In todays experiment we studied Convolution which gives the output of the system and Correlation which gives the degree of similarity between the 2 signals which are being compared.
In linear convolution we found that if both the input signals are causal then the output signal is also causal . Also Aliased output was obtained in circular convulation . The length of output signal in case of linear convolution was found to be always greater than or equal to the that of the circular convolution.
In case of Auto correlation we found that the same output was produced even if the signal was delayed and always the ouput signal was an even signal. Also the Cross correlation of a signal with its delayed signal was same as that of the autocorrelation of input signal
In linear convolution we found that if both the input signals are causal then the output signal is also causal . Also Aliased output was obtained in circular convulation . The length of output signal in case of linear convolution was found to be always greater than or equal to the that of the circular convolution.
In case of Auto correlation we found that the same output was produced even if the signal was delayed and always the ouput signal was an even signal. Also the Cross correlation of a signal with its delayed signal was same as that of the autocorrelation of input signal
Easy to understand.
ReplyDeleteLinear Convolution can also be solved using Circular Convolution.
ReplyDeleteCorrelation has application in radar, speech recognition etc.
ReplyDeleteValue at x=0 is equal to the energy of the signal
DeleteConvolution is used to find output of the system, while correlation is used to find degree of similarity between 2 signals
ReplyDeleteConvolution is to find filter output provided impulse response is given.
ReplyDelete