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Published April 2, 2019 | Submitted
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Noncoherent Short-Packet Communication via Modulation on Conjugated Zeros

Abstract

We introduce a novel blind (noncoherent) communication scheme, called modulation on conjugate-reciprocal zeros (MOCZ), to reliably transmit short binary packets over unknown finite impulse response systems as used, for example, to model underspread wireless multipath channels. In MOCZ, the information is modulated onto the zeros of the transmitted signals z−transform. In the absence of additive noise, the zero structure of the signal is perfectly preserved at the receiver, no matter what the channel impulse response (CIR) is. Furthermore, by a proper selection of the zeros, we show that MOCZ is not only invariant to the CIR, but also robust against additive noise. Starting with the maximum-likelihood estimator, we define a low complexity and reliable decoder and compare it to various state-of-the art noncoherent schemes.

Additional Information

The authors would like to thank Richard Kueng and Urbashi Mitra for many helpful discussions. We like to thank the SURF student Mattia Carrera for his support during a summer program at Caltech. Most of the work by Philipp Walk was done during a two year postdoc fellowship at Caltech, which was sponsored by the DFG WA 3390/1.

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August 19, 2023
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March 5, 2024