In this treatise a range of Line Spectrum Frequency (LSF) Vector Quantization (VQ) schemes were studied comparatively, which were designed for wideband speech codecs. Both predictive arrangements and memoryless schemes were investigated. Specifically, both memoryless Split Vector Quantization (SVQ) and Classified Vector Quantization (CVQ) were studied. These techniques exhibit a low complexity ...

We study average consensus for directed graphs with quantized communication under fixed and switching topologies. In the presence of quantization errors, conventional consensus algorithms fail to converge and may suffer from an unbounded asymptotic mean square error. We develop robust consensus algorithms to reduce the effect of quantization. Specifically, we introduce a robust weighting matrix...

We present two methods for lossy compression of normal vectors through quantization using “base” polyhedra. The first revisits subdivision-based quantization. The second uses fixed-precision barycentric coordinates. For both, we provide fast (de)compression algorithms and a rigorous upper bound on compression error. We discuss the effects of base polyhedra on the error bound and suggest polyhed...

High-speed broadband digital communication net­ works rely on digital multiplexing technology where clock synchro­ nization, including processing, transmission, and recovery of the clock, is the critical technique. This paper interprets the process of clock synchronization in multiplexing systems as quantizing and coding the information of clock synchronization, interprets clock justification a...

Several analog-to-digital conversion methods for bandlimited signals used in applications, such as Σ∆ quantization schemes, employ coarse quantization coupled with oversampling. The standard mathematical model for the error accrued from such methods measures the performance of a given scheme by the rate at which the associated reconstruction error decays as a function of the oversampling ratio ...

This paper presents a vector quantization system that limits the maximum distortion introduced to a pre-selected threshold value. This system uses a recently introduced variation of the L 1 distortion measure that attempts to minimize the occurrences of quantization errors above a preselected threshold. The vectors are rst coded using the new distortion measure. The quantization error vectors i...

In this paper, roundoff noise properties of fixed-point IIR polynomial predictors (FIPPs) and polynomial-predictive differentiators (FIPPDs) are investigated. These filters are designed by augmenting the corresponding FIR basis filters with magnitude response shaping feedbacks. Here we use ideally quantized coefficient (coefficient quantization error free) polynomial FIR predictors (PFPs) or pr...

In this paper, the Gaussian source quantization is done by using three different quantization methods[1,2]. The Gaussian source is an optimal information source, with average power as a constraint. We analyzed Pulse Amplitude Modulation (PAM) signal constellation obtained by means of different quantization methods for Gaussian channel. We quantized the Gaussian source applying the method given ...

Multiple description (MD) coding has evolved as a promising technique for promoting error resiliency of multimedia system in real-time application programs over error-prone communicational channels. Although multiple description lattice vector quantization (MDCLVQ) is an efficient method for transmitting reliable data in the context of potential error channels, this method doesn’t consider disc...

An improved video subband coding technique is presented. It is based on a spatially and spectrally localizing subband analysis, followed by scalar quantization and direct arithmetic coding. The quantization and coding parameters are adapted on the basis of local energy of the subband pixels. The proposed technique automatically achieves near-optimal rate allocation with respect to mean-square e...