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Discrete Convolution and Correlations

We performed this experiment in two parts which included Discrete Convolution (expo 1 a) and Discrete Correlation (expt 1 b).We calculated the output manually in journal and with a c program which was executed and run on Linux os and we observed that the length of Linearly Convolved output signal was N=L+M-1 while that of Circularly Convolved output signal was Max(L,M) where L & M are length of input signals.Also circular convolution gives aliased(overlapped) output. In Discrete Correlation when the input signals are delayed auto-correlation of delayed input signal is same as that of original signal while Cross-Correlation of input with delayed input signal is same as that of auto correlated  delayed input signal. In Convolution we find the output of the system while in Correlation we find similarity between two signals.

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