As part of the DSP design deep in the bowels of the console it's necessary to change the sample rate of the data being processed.

The general description of the polyphase resampling algorithm can be found, for example, in "Multirate Digital Signal Processing" by R. Crochiere and L.Rabiner, Prentice Hall, 1983.

By changing the code I use from an open source implementation to the implementation provided by Intel in the IPP library I've cleaned up the audio a great deal as shown in this screenshot - look at the AF Spectrum in the bottom left.