Windowed Dictionary Design for Delay-Aware OMP Channel Estimation under Fractional Doppler

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Conference PaperDate:
2025Access:
openAccessCitation:
Hanning Wang and Xiang Huang and Rong-Rong Chen and Arman Farhang, Windowed Dictionary Design for Delay-Aware OMP Channel Estimation under Fractional Doppler, IEEE International Conference on Communications, Montreal, Canada, 8-12 June 2025, 2025Abstract:
Delay-Doppler (DD) signal processing has emerged
as a powerful tool for analyzing multipath and time-varying channel effects. Due to the inherent sparsity of the wireless channel
in the DD domain, compressed sensing (CS) based techniques,
such as orthogonal matching pursuit (OMP), are commonly
used for channel estimation. However, many of these methods
assume integer Doppler shifts, which can lead to performance
degradation in the presence of fractional Doppler. In this paper,
we propose a windowed dictionary design technique while we
develop a delay-aware orthogonal matching pursuit (DA-OMP)
algorithm that mitigates the impact of fractional Doppler shifts
on DD domain channel estimation. First, we apply receiver
windowing to reduce the correlation between the columns of
our proposed dictionary matrix. Second, we introduce a delay-
aware interference block to quantify the interference caused by
fractional Doppler. This approach removes the need for a pre-determined stopping criterion, which is typically based on the
number of propagation paths, in conventional OMP algorithm.
Our simulation results confirm the effective performance of
our proposed DA-OMP algorithm using the proposed windowed
dictionary in terms of normalized mean square error (NMSE)
of the channel estimate. In particular, our proposed DA-OMP
algorithm demonstrates substantial gains compared to standard
OMP algorithm in terms of channel estimation NMSE with and
without windowed dictionary.
Sponsor
Grant Number
Science Foundation Ireland (SFI)
SFI/21/US/3757
Science Foundation Ireland (SFI)
SFI/19/FFP/7005(T)
National Science Foundation (NSF)
ECCS-2153875
National Science Foundation (NSF)
CNS-2229562
Author's Homepage:
http://people.tcd.ie/afarhangOther Titles:
IEEE International Conference on CommunicationsType of material:
Conference PaperAvailability:
Full text availableKeywords:
Delay-Doppler Signal Processing, Compressed Sensing, Channel Estimation, Fractional Doppler shiftsSubject (TCD):
Telecommunications , Signal Processing , TELECOMMUNICATIONSSource URI:
https://arxiv.org/abs/2412.01498Metadata
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