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Timeline for Complex impulse response functions?

Current License: CC BY-SA 3.0

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Jun 6, 2012 at 11:31 comment added Tormod Wave is the input. Signal is the output (calculated by FFT of spectrum). The two series called IRF are calculated by convolution. I expect "Signal IRF" to be equal to Signal, just calculated in a different way
Jun 5, 2012 at 15:01 comment added Jim Clay @Tormod It would be easier to understand and help if you could explain clearly what Signal, Signal IRF, Wave, Wave IRF, IRF 1/2/3, RAO, and RAO IRF 1/2 are. I don't necessarily need to know what the physical context- just things like what is the input, what is the filter, and what is the output.
Jun 5, 2012 at 14:36 comment added Tormod The dashed lines are the output from convolution with the complex IRF and output = output.real + output.imag
Jun 5, 2012 at 14:33 comment added Tormod Hi, this did change the results, but not quite as I had hoped. Can ther be differet reasons why the amplitude is less than what I expect? !new results
Jun 5, 2012 at 14:32 comment added Jim Clay @JasonR I saw that that portion of the answer was not very clear, so I decided to get rid of it.
Jun 5, 2012 at 14:28 history edited Jim Clay CC BY-SA 3.0
added 7 characters in body
Jun 5, 2012 at 14:15 comment added Jason R Convolution with a complex filter is not equivalent to convolving the real and imaginary parts separately. For a complex filter, convolution is specified as an inner product of the filter coefficients (its impulse response) and the input signal. There are cross-terms in that inner product where the real part of the impulse response multiplies the imaginary part of the input signal, and vice versa. If you perform two separate real convolutions, you don't get those terms.
Jun 5, 2012 at 14:08 history answered Jim Clay CC BY-SA 3.0