How Does Probabilistic Constellation Shaping Control Ranging Sidelobe Levels in ISAC?
Abstract
Probabilistic constellation shaping (PCS), originally designed to fill the gap between finite uniform constellations and continuous capacity-achieving input distributions, has recently emerged as a central tool in adjusting the expected integrated sidelobe level (EISL) in integrated sensing and communication (ISAC). In this paper, we show that PCS goes beyond EISL: A large class of PCS methods, termed as type-based PCS, are capable of providing precise control over codeword-wise integrated sidelobe level ratio (ISLR) for systems employing orthogonal frequency division multiplexing (OFDM), thus yielding a stronger sensing performance guarantee than EISL control. We further show that OFDM is almost the only unitary modulation basis whose codeword-wise ISLR can be precisely controlled by type-based PCS. Based upon the analytical results, practical type-based PCS methods compatible with the probabilistic amplitude shaping (PAS) framework are conceived, which achieve higher communication rates than existing ISAC-oriented PCS methods under identical ISLR constraints.
Related
- Modulation Augmentation and Constellation Shaping for LDPC-Coded QPSK
- Covert Digital Semantic Communication With Movable Antennas: Constellation Shaping, Spatial Optimization, and Semantic Mapping
- From Priors to Projections: Geometry and simplified MIMO demodulation of probabilistic shaping
- Fuzzy Terrain Traversability Assessment and Adaptive Artificial Potential Field for Unmanned Ground Vehicle Control Based on Light Detection and Ranging
- Realisation-Aware Fractional Shaping for Robust Current Control of a Frequency-Controlled Parallel-Resonant Inverter
BibTeX
@misc{jing2026does,
title = {{How Does Probabilistic Constellation Shaping Control Ranging Sidelobe Levels in ISAC?}},
author = {Zexuan Jing and Yifeng Xiong and Fan Liu and Xuehua Li and Jianhua Zhang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.21653},
eprint = {2610.21653},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.21653},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - How Does Probabilistic Constellation Shaping Control Ranging Sidelobe Levels in ISAC?
AU - Zexuan Jing
AU - Yifeng Xiong
AU - Fan Liu
AU - Xuehua Li
AU - Jianhua Zhang
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.21653
UR - https://arxiv.org/abs/2610.21653
AB - Probabilistic constellation shaping (PCS), originally designed to fill the gap between finite uniform constellations and continuous capacity-achieving input distributions, has recently emerged as a central tool in adjusting the expected integrated sidelobe level (EISL) in integrated sensing and communication (ISAC). In this paper, we show that PCS goes beyond EISL: A large class of PCS methods, termed as type-based PCS, are capable of providing precise control over codeword-wise integrated sidelobe level ratio (ISLR) for systems employing orthogonal frequency division multiplexing (OFDM), thus yielding a stronger sensing performance guarantee than EISL control. We further show that OFDM is almost the only unitary modulation basis whose codeword-wise ISLR can be precisely controlled by type-based PCS. Based upon the analytical results, practical type-based PCS methods compatible with the probabilistic amplitude shaping (PAS) framework are conceived, which achieve higher communication rates than existing ISAC-oriented PCS methods under identical ISLR constraints.
ER -