A Smooshed BMOCZ Zero Constellation for CFO Estimation Without Channel Coding

TL;DR

This paper introduces SBMOCZ, a novel zero constellation modulation that effectively estimates and corrects CFO-induced zero rotation without channel coding, improving BER performance in fading channels.

Contribution

The paper proposes SBMOCZ, a new modulation scheme that modifies Huffman BMOCZ to address CFO effects without channel coding, with demonstrated performance benefits.

Findings

SBMOCZ effectively estimates and corrects CFO-induced zero rotation.

SBMOCZ shows a 4 dB BER improvement over Huffman BMOCZ in fading channels.

SBMOCZ maintains comparable performance to Huffman BMOCZ without CFO.

Abstract

In this study, we propose a new binary modulation on conjugate-reciprocal zeros (BMOCZ) zero constellation, which we call smooshed binary modulation on conjugate-reciprocal zeros (SBMOCZ), to address carrier frequency offset (CFO)-induced zero rotation without depending on channel coding. In our approach, we modify the phase mapping of Huffman BMOCZ by shrinking the angle between adjacent zeros, except for the first and last, to introduce a gap in the zero constellation. By discerning the gap location in the received polynomial, the receiver can estimate and correct the phase rotation. We demonstrate the error rate performance of SBMOCZ relative to Huffman BMOCZ, showing that SBMOCZ addresses a CFO-induced rotation at the cost of a modest performance reduction compared to Huffman BMOCZ in the absence of a CFO. Finally, we compare SBMOCZ to Huffman BMOCZ using a cyclically permutable code (CPC), showing a 4 dB bit error rate (BER) improvement in a fading channel, while demonstrating comparable performance across other simulations.