Joint states dimension reduction and quantizer design for estimation under communication constraints

The problem of joint states dimension reduction and quantizer design under communication constraints was discussed for states estimation in quantized linear dynamic systems. In order to meet the requirements of transmit power constraint and the constraints of number and bandwidth of the parallel channels, the structure of DPCM (differential pulse code modulation) was adopted to produce the quantized innovation as the transmitted signal, and the states dimension reduction and quantizer were designed jointly under the MMSE (minimum mean square estimation error) criterion of filtering at receiver. Analytical analysis and simulation results show that, the estimation performance of the filter at receiver is optimal under communication constraints when the proposed dimension reduction method and the optimal quantizer are applied.