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Convolution is a mathematical operation on two functions f and g, producing a third function that is typically viewed as a modified version of one of the original functions.

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An effective algorithm for convolution of very many long signals

I need to calculate the following linear convolution $$ y[n] = h_1[n] \circledast h_2[n] \circledast h_3[n] \circledast \cdots \circledast h_{k-1}[n] \circledast h_k[n]$$ where $k$ exceeds $5000$ and … I tried the method which is based on the circular convolution/DFT but it does not work because each $h_i[n]$ must be zero padded so DFTs then takes too much time and memory. …
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