Disclosed is a method and an apparatus that use wavelet transforms for information to be transmitted to a wireless channel. The method includes determining a wavelet transform using at least a parameter set, the parameter set configured to select one of a plurality of wavelets; modulating an input signal into a modulated output signal using the wavelet transform, wherein the modulated output signal is suitable for transmission over a channel; and responsive to information received from a feedback path, modifying at least a portion of the parameter set based at least in part on the received information.