Noise-shaping coding through bounding the frequency-weighted reconstruction error

A novel noise-shaping feedback coding scheme is derived by bounding and minimizing its filtered reconstruction error. The stability and performance of this coding scheme are rigorously analyzed. Analytic designs then can be obtained based on the derived stability conditions and noise-shaping equation. A fifth-order coder is designed for converting 3 MHz wide-band signal to a 4-bit quantized signal at a sampling rate of 96 MHz, with an effective resolution of 17 bits.