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Taking a Shift: Fast Delay Doppler Estimation and Detection
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DOI：10.1109/LSP.2025.3616640.png)
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Abstract
En 中文
Detecting a delayed and frequency-shifted signal in noise, as well as estimating these two channel parameters is a popular task in many signal processing applications. Most of the time, this estimation and detection scheme consists of the cross-correlation of the received signal with replicas of the known transmitted signal both shifted in time and frequency. However, the computation of this so-called Ambiguity Function is intensive. In this letter, we show that this function can be approximated, leading to an asymptotically equivalent but simpler solution. It consists of a number of basic 1-D cross-correlations of self-demodulated signals rather than the standard 2-D cross-correlation based on the original signal. Moreover, we show that the number of these basic 1-D cross-correlations can be largely reduced with a marginal performance loss. Numerical simulations allows to evaluate the performance of this simplified scheme compared to the optimal procedure with respect to the computational complexity gain.
Keywords:
Ambiguity function
matched-filter
delay-Doppler estimation and detection
extended invariance principle
Journal
I
IF:
3.9
Papers:
610
Citations:
0