Jutted BMOCZ for Non-Coherent OFDM

TL;DR

This paper introduces Jutted BMOCZ, a novel zero constellation for non-coherent OFDM that improves zero rotation estimation and enables blind synchronization, validated through simulations and software-defined radios.

Contribution

The paper proposes Jutted BMOCZ, a new zero constellation that enhances non-coherent OFDM by enabling zero rotation estimation and blind detection.

Findings

Jutted BMOCZ removes ambiguity at the receiver under zero rotation.

The reliability metric optimizes zero constellation parameters.

Simulation and SDR tests validate the proposed scheme.

Abstract

In this work, we propose a zero constellation for binary modulation on conjugate-reciprocal zeros (BMOCZ), called jutted BMOCZ (J-BMOCZ), and study its application to non-coherent orthogonal frequency division multiplexing (OFDM). With J-BMOCZ, we introduce asymmetry to the zero constellation for Huffman BMOCZ, which removes ambiguity at the receiver under a uniform rotation of the zeros. The asymmetry is controlled by the magnitude of "jutted" zeros and enables the receiver to estimate zero rotation using a simple cross-correlation. The proposed method, however, leads to a natural trade-off between asymmetry and zero stability. Accordingly, we introduce a reliability metric to measure the stability of a polynomial's zeros under an additive perturbation of the coefficients, and we apply the metric to optimize the J-BMOCZ zero constellation parameters. We then combine the advantages of J-BMOCZ and Huffman BMOCZ to design a hybrid waveform for OFDM with BMOCZ (OFDM-BMOCZ). The pilot-free waveform enables blind synchronization/detection and has a fixed peak-to-average power ratio that is independent of the message. Finally, we assess the proposed scheme through simulation and demonstrate non-coherent OFDM-BMOCZ using low-cost software-defined radios.