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Optimal Filter Partition for Efficient Convolution with Short Input/Output Delay

A new algorithm to find an optimal filter partition for efficient long convolution with low input/output delay is presented. For a specified input/output delay and filter length, our algorithm finds the non-uniform filter partition that minimizes computational cost of the convolution. We perform a detailed cost analysis of different block convolution schemes, and show that our optimal-partition finder algorithm allows for significant performance improvement. Furthermore, when several long convolutions are computed in parallel and their outputs are mixed down (as is the case in multiple-source 3-D audio rendering), the algorithm finds an optimal partition (common to all channels) that allows for further performance optimization.

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