Broadband Doppler compensation for rational wavelet-based UWA communication systems

This paper proposes a broadband Doppler compensation structure based on rational orthogonal wavelet signaling and perfect reconstruction wavelet filter banks. A transmultiplexer system model is presented to characterise wavelet signalling, channel transmission and Doppler compensation processes. Because the underwater acoustic (UWA) Doppler scales are rational numbers very close to 1, a special class of wavelets, the rational orthogonal wavelets with a scale dilation factor of a^j : j isin Z, 1 < a < 2, are introduced in this application. These rational wavelets are well adapted with the proposed Doppler compensation structure and achieve good system performance. By effectively resolving the multiscale nature of the UWA channels for wideband signal propagation, this class of wavelets forms optimal shaping pulses with unique robustness against Doppler dispersion and has a potential for further development towards a new class of rational wavelet based UWA systems