Multiscale Wireless Communications Using Compactly-Parametrized Wavelets

Wireless communications has traditionally involved single-scale modulation, usually involving either time or frequency conditioning of the transmitted signal. In this paper multiscale modulation, wherein time-frequency conditioning of the transmitted signal is used, is considered with respect to typical wireless communications systems. Multipath channels require equalization, which can be complex in the time-frequency domain. In this work, a different approach in which the modulating wavelet is matched to a specific channel condition is proposed. Specifically, compactly supported wavelet bases are employed, and based on their parameterization a wavelet is selected that best characterizes the wireless channel conditions