CHAOTIC PHENOMENA IN AN ORDER 1 DPCM TRANSMISSION SYSTEM

The existence of chaotic phenomena in DPCM transmission systems of order 1 is studied. The coupling at the encoder between the nonlinear quantization and the prediction makes the encoder recursive even if the prediction is transversal; The encoder has a feedback loop which is a recursive linear filter. For an order 1 transversal predictor, the bifurcation structure of the encoder state equations is determined. It is proven that the encoder output signal may be chaotic even if the stability condition of the linear filter is satisfied. Parameters giving rise to chaotic phenomena can be determined in order to avoid dysfunctioning of the system.