Angle-preserving quantized phase embeddings

Petros T. Boufounos

doi:10.1117/12.2024412

26 September 2013 Angle-preserving quantized phase embeddings

Petros T. Boufounos

Proceedings Volume 8858, Wavelets and Sparsity XV; 88581C (2013) https://doi.org/10.1117/12.2024412
Event: SPIE Optical Engineering + Applications, 2013, San Diego, California, United States

Abstract

We demonstrate that the phase of randomized complex-valued projections of real-valued signals preserves information about the angle, i.e., the correlation, between those signals. This information can be exploited to design quantized angle-preserving embeddings, which represent such correlations using a nite bit-rate. The proposed embeddings generalize known results on binary embeddings and 1-bit compressive sensing and allow us to explore the trade-o between number of measurements and number of bits per measurement, given the bit rate. The freedom provided by this trade-off, which has also been observed in quantized Johnson-Lindenstrauss embeddings, can improve performance at reduced rate in a number of applications.

Citation Download Citation

Petros T. Boufounos "Angle-preserving quantized phase embeddings", Proc. SPIE 8858, Wavelets and Sparsity XV, 88581C (26 September 2013); https://doi.org/10.1117/12.2024412

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