The Application Of Error-correcting Codes And PSR In The PAM Signal Processing

In this thesis we mainly investigate the union of the error-correcting codes and parameter-induced stochastic resonance (PSR) in the equal-probability binary pulse amplitude modulation (PAM ) signal transmission. After noise polluting, the BER of PAM signal was put forward based on the character of PSR to reach the best condition of the error correcting codes, using the error correcting codes , method of the middle position estimate modified the BER. Numerical simulation shows the academic value is accord with the simulation result, which proves the union of the two technology can lower the BER to get the better result of the signal processing. Results indicate the proposed method can make the BER excellent to ensure the security and validity of the communication.To improve the security and validity is the goal of communication, and error-correcting codes are very important methods. 1948, Shannon clarified the noised channel code theory in the thesis "A Mathematical Theory of Communication" , which is the foundation of error-correcting codes. Meanwhile, Hamming contributed in the research. Error-correcting codes are often called channel codes, which are divided into block codes and convolutional codes by the treatment of signal, and into the linear codes and onlinear codes by the connection of the signal and watchdog. In this thesis we mainly use the Hamming codes.After the 40 years development, error-correcting codes can lower the BER of many kinds of digital communication systems and the computer memory and operation systems to improve the transmission quality. Whereas the codes effect depends on the error codes number and the correct capability, especially when the former exceeds the latter, the error correcting can not correct the error, so much as adds the error. That is why we union the error-correcting codes and PSR. We proposed the PSR during the research of signal processing and the applied PSR into PAM signal transmission, the result showed the PSR can reduce the BER of PAM signal. The research provided a credible ensure to error-correcting codes application. In this thesis, we will unite the error correcting code and PSR system to get the better result of signal processing. The simulation indicates the system can process the signal availably.