With this experiment we came back to our basics, the C language. In this experiment we performed Linear convolution, Auto-correlation and Cross-correlation of two signals. while performing correlation we observed the following statuses of the signal.
As we performed auto-correlation, we found that the signal is symmetric with respect to its center point and the value of the center point is the greatest.The cross-correlation of the time delayed signal causes the output signal to be delayed by the same amount as that of the time shift applied to the original input signal. The cross-correlation of a time delayed and a zero-padded signal also gives a similar result as that in the case above, but the output signal will be delayed by the total amount as the time shift and the zero padding given.
Correlation is used to find how much similar two signals are. An example of this is the RADAR system which compares the transmitted and the echoed signal that is reflected by the target.
ReplyDeleteIf both x[n] and h[n] are causal then the resultant y[n] is also causal.
ReplyDeleteWhat is zero padding ??
ReplyDeletewhen the order of the impulse response(M) does not match with the input signal(N), zero padding is required to equalize it to (M+N-1)
Deletezero padding means appending zeros by appropriate no of zeros
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ReplyDeletePeriodic convolution is convolution of two periodic signals of the same period.
ReplyDelete