Abstract
The problem of data transmission over additive Gaussian fractal noise channels is considered. Exploiting an efficient, wavelet-based representation for fractal processes, the problem of coherent detection in Gaussian fractal noise is addressed, from which the optimum receiver for bit-by-bit signaling is obtained. This leads to a multirate modulation strategy that is inherently well-suited for use with the fractal noise channel. Computationally efficient implementations of the transmitter and receiver structures for this system are also developed.

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