Difference between auto correlation and convolution sumdifference between auto correlation and convolution sum
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If I can add to this, if the filter is symmetric, then convolution and correlation achieve the same result... which makes sense, because if the filter is symmetric, then folding would give you the same filter, and then correlating the signal will give you the same result.... but, I agree with the earlier observations:
Correlation is measuring how similar two signals are to each other, and convolution is directly related to the impulse response, or the output of a system would be, given that you provide a unit impulse into the system. Once you know the impulse response, convolution can essentially determine what the output of your system is, due to any arbitrary input that you provide to it.
Correlation is measuring how similar two signals are to each other, and convolution is directly related to the impulse response, or the output of a system would be, given that you provide a unit impulse into the system. Once you know the impulse response, convolution can essentially determine what the output of your system is, due to any arbitrary input that you provide to it.
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If I can add to this, if the filter is symmetric, then convolution and correlation achieve the same result... which makes sense, because if the filter is symmetric, then folding would give you the same filter, and then correlating the signal will give you the same result.... but, I agree with the earlier observations:
Correlation is measuring how similar two signals are to each other, and convolution is directly related to the impulse response, or the output of a system would be, given that you provide a unit impulse into the system. Once you know the impulse response, convolution can essentially determine what the output of your system is, due to any arbitrary input that you provide to it.
Correlation is measuring how similar two signals are to each other, and convolution is directly related to the impulse response, or the output of a system would be, given that you provide a unit impulse into the system. Once you know the impulse response, convolution can essentially determine what the output of your system is, due to any arbitrary input that you provide to it.
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