Audio quantization from a receding horizon control perspective

By introducing psycho-acoustical aspects, the audio quantization problem is translated into a finite horizon optimal control problem with a finite input constraint set. An explicit solution is obtained. Its receding horizon implementation gives rise to the receding horizon quantizer (RHQ). The RHQ corresponds to a closed loop, which embeds the widely-adopted noise shaping quantizer in a broader framework and allows for enhanced performance. Furthermore, suboptimal algorithms are described and their behaviour illustrated by means of an example.