Optimal Design of Real-time Causal Differential Encoding Systems with Lloyd-Max Quantization

摘要：

　　This paper studies the design of a real-time causal encoder and decoder for discrete-time linear systems with noiseless communication channels.The encoder consists of a Kalman filter and a Lloyd-Max quantization law.The performance of the encoder is measured by the mean-square quantization distortion.An optimal design scheme is presented to the real-time causal differential encoder.To synchronize the encoder and decoder,the protocol on the updating rules of the encoder and decoder based on quantized measurements is proposed.For the decoder,given the differential encoder above,two recursive algorithms for the minimum mean-square error(MMSE)estimator of the state of the system are presented.Then an upper bound for the ensemble average performance is presented,which is very tight and approaches the average performance in the high-resolution case.

关键词： dynamic Lloyd-Max quantization differential encoding systems Kalman filter estimation with quantized measurements

作者: HU Bin SU Weizhou

作者单位: School of Automation Science and Engineering,South China University of Technology,Guangzhou 510640,China

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 9088-9093

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）