convolution circular vs linear
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hi i have gone through in detail in circular convolution and linear convolution. i find if we padded signal double of its length then circular convolution become linear convolution and result is same. i want to know suppose if i have signal taken experimentally from DSO and if i deconvolved it using circular convolution is it correct? Problem y=h*x+n by circular convolution defination x=ifft(fft(y)/fft(h)) so i want to know is this also correct or have to do linear deconvolution ? because result are diffrent
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Robert Fennis
2016-7-12
I think x=ifft(fft(y)/fft(h)) is similar to cirular convolutions so linear convolutions would indeed give you a different result. Whether circular or linear deconvolution is what you are supposed to do completely depends on the situation. Especially wheter or not the signal y is created from signal x using circular or linear convolutions.
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