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Pyramid Vector Quantizer (PVQ) is a promising technique especially formultimedia data compression, already used in Opus audio codec and consideredfor AV1 video codec. It quantizes vectors from Euclidean unit sphere by firstprojecting them to $L^1$ norm unit sphere, then quantizing and encoding there.This paper shows that the used standard radial projection is suboptimal andproposes to tune its deformations by using parameterized power projection:$x\to x^p/\|x^p\|$ instead, where the optimized power $p$ is appliedcoordinate-wise, getting usually $\geq 0.5\, dB$ improvement comparing toradial projection.

Improving Pyramid Vector Quantizer with power projection