On fractal quantizers for a class of chaotic signals used in digital communication

We propose “fractal quantizers” to quantize a class of analog chaotic signals into binary signals. This kind of quantizer is characterized by a self-similar structure, which make the generated binary sequences have many good properties, such as balanced distribution, zero cross-correlation, and so on. These properties are very useful in the current digital communication systems (e.g., cryptosystems and spread spectrum communication systems), and can be proved rigorously with the knowledge of chaotic dynamics. The numeric experiment corresponds to the theoretic prediction very well. Comparison with other proposed quantizers has shown that fractal quantizers can provide more parameters and be more efficient in coding rate