![]() ![]() You can reduce this latency by partitioning the numerator into shorter segments, applying overlap-add or overlap-save over the partitions, and then combining the results to obtain the filtered output. Overlap-save and overlap-add introduce a processing latency of N-M+1 samples. The output consists of the remaining N-M+1 points, which are equivalent to the true convolution. For filter length M and FFT size N, the first M-1 points of the circular convolution are invalid and discarded. The circular convolution of each block is computed by multiplying the DFTs of the block and the filter coefficients, and computing the inverse DFT of the product. ![]() The input is divided into overlapping blocks which are circularly convolved with the FIR filter coefficients. The overlap-save algorithm also filters the input signal in the frequency domain. The first N-M+1 samples of each summation result are output in sequence. For filter length M and FFT size N, the last M-1 samples of the linear convolution are added to the first M-1 samples of the next input sequence. The linear convolution of each block is computed by multiplying the discrete Fourier transforms (DFTs) of the block and the filter coefficients, and computing the inverse DFT of the product. The input is divided into non-overlapping blocks which are linearly convolved with the FIR filter coefficients. The overlap-add algorithm filters the input signal in the frequency domain. ![]()
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