Performance analysis of a fractal modulation communication system

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Abstract
Recent work has suggested the possibility and potential gains of using homogeneous signals, which can be represented in terms of orthonormal wavelet basis sets, as the modulating waveforms in communication systems. We present performance analysis, in terms of both bandwidth efficiency and probability of error, for one communication system where a fractal modulated signal is transmitted over a sinusoidal carrier. In addition, we present some preliminary results from a fractal modulation simulator indicating that a practical implementation is quite feasible while maintaining near-theoretical performance for the test case of transmission over the additive white Gaussian noise (AWGN) channel. Preliminary results indicate that fractal modulation achieves a reasonable improvement over some existing modulation schemes.

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