TransDetector: A Transformer-Based Detector for Underwater Acoustic Differential OFDM Communications

Inter-carrier interference (ICI) and noise mitigation is crucial for precise signal detection in underwater acoustic (UWA) differential orthogonal frequency division multiplexing (DOFDM) communication systems. In this paper, we adopt the Transformer to design a detector, referred to as the TransDetector, which can dramatically mitigate ICI implicitly and noise explicitly, even without requiring any pilot. Compared with the standard Transformer, we come up with three creative designs. Firstly, we break the inner-encoder computation paradigm of the multi-head attention (MHA) in the standard Transformer, and design a brand new inter-encoder attention mechanism, referred to as the interactive MHA, which can significantly improve the performance, as well as accelerate the convergence rate. Secondly, to reduce the noise component attached to the received signal, we design an auto-perception denoising structure, which allows the network to learn the noise distribution in received signals. Thirdly, to better match the characteristics of DOFDM signals and selectively focus on the data at specified locations, we propose a trapezoidal positional encoding (PE), instead of adopting the original sine-cosine PE in the Transformer. The performance verification results across a wide range of signal-to-noise ratios (SNRs) and Doppler shifts exhibit that, the TransDetector outperforms the classical
$\chi $
-FFT algorithms and the DNNDetector in both the the simulation channels and the realistic underwater channels. For example, based on the simulation channel, the bit error rate (BER) achieved by the TransDetector is reduced by 31.22% and 5.01% when
$\text {SNR}=0$
dB and by 48.21% and 42.01% when
$\text {SNR}=20$
dB against the PS-FFT and the DNNDetector, respectively, while the reduction increases from 8.01% and 9.88% to 44.22% and 18.23%, when the Doppler factor goes from
$1 \times 10^{-4}$
to
$3 \times 10^{-4}$
.