State dimension reduction and analysis of quantized estimation systems ?
We design jointly the state dimension reduction matrix and quantizer for state estimation. We analyze the state estimability based on quantized innovarions. The quantized estimability Gramian is derived and its convergence is proved. It is shown that even a coarse 1-bit quantizer can preserve the estimability of the original unquantized system.
state dimension reduction estimability communication constraint quantized linear system quantizer design mutual information