Study Of Chaotic Measurement With High Precision & Chaotic Signal Processing With Symbol Dynamics

Since the foundation of the chaotic theory, some achievements have been achieved by using of the theory. By far, the theory of chaotic measurement can be used in the detection of signals, temperature, resistance, capacitance, etc, and it can reach very high precision theoretically. But the changing of working environment, the parameter of chaotic circuit will be drifted, so we can't get more precise measurement by the distance of chaotic orbits. And some improved methods of chaotic measurement to reduce the drift of parameter are presented in the paper.Firstly, based on the theory of mirror-image constant current circuit, we use three identical dynatrons and some of diodes to make up of the loops of charge and discharge in nonlinear RC oscillator. The circuit is simple, and the experiment results show that it can get more precise measurement successfully. Secondly, Based on the determined chaotic dynamic system, a novel method to improve measurement precision is presented here. It is that the system clock will be lagged x to avoid the critical point when a chaotic orbit is estimated in a specified wrong realm. Therefore the drifting of orbits will be reduced effectively and the noise in the circuit will be restrained. Monte Carlo simulation experiments prove that this method can improve the precision of measurement. Lastly, an arithmetic method processing chaotic signals is studied in the paper, including addition,subtraction and multiplication, which is based on symbol dynamics in 1-D piecewise linear mapping chaotic systems. The operational rules are calculated and proved according to the distance between the two chaotic sequences. By computer simulation with convolution sum of FIR digital filter, the results show that the model is the same as traditional binary coding arithmetic, which can be used in chaotic signal processing systems.