A Parallel Two-Stage Prony Framework for Robust Delay-Doppler Estimation

Liangchen Sun; Yutaka Jitsumatsu

Home/Archive/arXiv

arXiv · 2610.38484

A Parallel Two-Stage Prony Framework for Robust Delay-Doppler Estimation

Liangchen Sun·Yutaka Jitsumatsu

View original source ↗Read source document ↗Export metadata ↓

Abstract

This paper addresses off-grid physical delay-Doppler parameter estimation based on an orthogonal time frequency space (OTFS) pilot waveform over doubly selective channels. Based on a known single-pilot waveform with a frequency-shifted sinc pulse structure, we propose a parallel dual-order estimation framework, in which Prony-based Doppler-first and delay-first procedures are executed concurrently and their candidate paths are jointly fused. The two estimation orders provide complementary resolution characteristics, thereby mitigating ambiguities caused by closely spaced multipath components and fractional delay--Doppler mismatch. Numerical results show that the proposed framework improves detection reliability and estimation stability compared with a single-order Prony estimator, especially in off-grid scenarios and low-to-moderate signal-to-noise ratio regimes.

Explore related subjects

eess.SP

Keep this discovery

Explore connections, maps & timelines

BibTeX RIS

Liangchen Sun, Yutaka Jitsumatsu. 2026-10-28. A Parallel Two-Stage Prony Framework for Robust Delay-Doppler Estimation. https://arxiv.org/abs/2610.38484

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Programmable Unitary RF Networks for Narrowband Hybrid Beamforming

Conventional hybrid beamforming architectures are compared with one another and with the fully-digital architecture under the same radiated antenna power. However, the physically relevant power budget is the power supplied by the RF chains to the passive analog beamforming network, which then transfers it to the antenna ports. Some architectures, such as fully-connected architectures, can divert part of this power to terminated ports even under ideal passive-component assumptions, thereby delivering less power to the antenna ports than that supplied by the RF chains. Other architectures, such as partially connected architecture, transfer all RF-chain power to the antenna ports but have restricted beamforming flexibility and therefore do not attain the fully-digital sum-rate optimum in general. Motivated by this RF-chain injected-power and beamforming flexibility viewpoint, this paper proposes a hybrid beamforming architecture that, under ideal passive-component assumptions: i) transfers all RF-chain injected power to the antenna ports without loss; and ii) with continuous phase control and sufficiently many programmable phase layers, attains the fully-digital sum-rate optimum under the same RF-chain injected-power constraint. The proposed hybrid beamforming architecture uses a programmable unitary analog beamforming network realized by interlacing fixed mixing layers with programmable diagonal phase-shifting layers. We compare this architecture with fully-connected, partially connected, and Butler/DFT beam-selection baselines under ideal passive-component assumptions and show numerically that none of these baselines attains the fully-digital sum-rate optimum under the same RF-chain injected-power constraint. Finally, we compare the different architectures when component losses are taken into account and illustrate the balance between beamforming flexibility and accumulated losses.

eess.SP↗

arXiv2026

Revolutionizing 6G Wireless Networks with RISs: Enhancements in Sensing and Communications

Reconfigurable intelligent surfaces (RISs) have emerged as one of the most promising technologies for the next-generation wireless networks, offering advantages such as cost efficiency, low power consumption, flexible deployment, and large effective aperture. Extensive studies have demonstrated the capabilities of RISs to enhance communication performance, including coverage extension, sum-rate improvement, interference suppression, security enhancement, etc. As 6G networks continue to evolve, wireless sensing is expected to play a pivotal role alongside communication. Undoubtedly, RISs possess great potential to enable seamless integration of sensing and communication by supporting both passive and active sensing paradigms. This paper explores how RISs can revolutionize wireless networks by enhancing both communication and sensing capabilities. Specifically, we highlight the fundamental principles, potential applications, and future trends of RIS-assisted integrated sensing and communication (ISAC), anticipating that RIS-enabled ISAC will become a key enabler in the upcoming 6G era.

eess.SP↗

arXiv2026

Protocol Data Unit Header Decoding and Payload Coding Recovery in the Starlink Ku-Band Downlink

Existing Starlink downlink studies describe synchronization, pilots, and predictable waveform elements, but these descriptions do not establish how received header bits specify payload allocations and channel coding. Using 18 frames from one continuous complex-baseband capture spanning approximately 24 ms, we identify two protocol data unit (PDU) header regions in each frame and decode their contents after receiver correction and reference-phase removal. We recover the headers' terminated rate-1/3 convolutional code with constraint length seven and an eight-bit cyclic redundancy check over the concatenated information words. The decoded bits support a conditional 20-bit layout of modulation and coding scheme (MCS) index--length pairs, linking format labels and quantities to subsequent payload regions. Predicted allocation endpoints agree with signal-based estimates in 16 of 18 frames and differ by at most two symbols in the remaining frames. We further recover modulation mappings and equivalent quasi-cyclic low-density parity-check coding relations for several payload formats, including rate-1/2 and rate-5/8 families. Fixed generators predict 78,848, 9,984, and 811,008 parity bits for formats 5, 9, and 21 without disagreement on codewords excluded from their generator fitting. Cross-modulation tests support shared encoders. Formats 28 and 37 have verified shortened cores, with 256 and 384 additional bits unexplained, while format 68 remains unresolved.

eess.SP↗