Statistically optimum pre- and postfiltering in quantization

Statistically Optimum Pre- and Postfiltering in Quantization - Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

We consider the optimization of preand postfilters surrounding a quantization system. The goal is to optimize the filters such that the mean square error is minimized under the key constraint that the quantization noise variance is directly proportional to the variance of the quantization system input. Unlike some previous work, the postfilter is not restricted to be the inverse of the prefilte...

Optimum Quantization and Its Applications

Minimum sums of moments or, equivalently, distorsion of optimum quantizers play an important role in several branches of mathematics. Fejes Tóth’s inequality for sums of moments in the plane and Zador’s asymptotic formula for minimum distortion in Euclidean d-space are the first precise pertinent results in dimension d ≥ 2. In this article these results are generalized in the form of asymptotic...

OPTIMUM PRE- AND POSTFILTERS FOR QUANTIZATION - Circuits and Systems, 1996., ISCAS '96, 'Connecting the World'., 1996 IEEE International Symposium

We consider the optimization of preand post filters surrounding a uniform quantizer such that the mean square error due to quantization is minimized. Unlike some previous work, the postfilter is not restricted to be the inverse of the prefilter. With no order constraint on the filters, we present closed form solutions for the optimum preand post filters. Using these optimum solutions, we obtain...

Pre-bleaching exam vital for optimum whitening.

Perceptual Evaluation of a New Subband Low Bit Rate Speech Compression System based on Waveform Vector Quantization and SVD Postfiltering

This paper proposes a new low rate speech coding algorithm, based on a subband approach. At first, a frame of the incoming signal is fed to a low pass filter, thus yielding the low frequency (LF) part. By subtracting the latter from the incoming signal the high frequency (HF), non-smoothed part is obtained. The HF part is modeled using waveform vector quantisation (VQ), while the LF part is mod...