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Tree-Structured Quantization on Grassmann and Stiefel Manifolds

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Submitted by:
Stefan Schwarz
Last updated:
23 February 2021 - 2:03am
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Presenters Name:
Stefan Schwarz



We propose novel tree-structured quantization approaches for points on Grassmann and Stiefel manifolds. Such manifold quantizers find application, e.g., for channel state information quantization in limited feedback multiple-input multiple-output wireless communications. The proposed quantizers allow to trade-off quantization distortion for complexity by pruning the width of the quantization tree. We compare the rate-distortion performance and quantization complexity of the proposed quantizers to existing single stage and recursive multi stage quantizers, showing that the proposed methods lie in-between these two extremes.

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