System Analysis of An Optimal Noise Shaped Quantizer for Audio-band Digital Amplifier

Abstract

This paper reports a novel application of receding finite horizon constrained optimization techniques to design an audio-band full digital amplifier. The digital amplifier using power MOSFET requires a modulator to modulate the reference signal into binary sequences.. The modulator can be viewed as an over-sampled quantizer with noise-shaping requirement. The quantization scheme resulting from the optimization is derived in detail to arrive at the stability condition under zero initial conditions. Simulations as well as experimental results are given to illustrate the effectiveness of the design methodology.