A covariant scalar representation of iosp(d, 2/2) is constructed and analysed in comparison with existing methods for the quantization of the scalar relativistic particle. It is found that, with appropriately defined wavefunctions, this iosp(d, 2/2) produced representation can be identified with the state space arising from the canonical BFV-BRST quantization of the modular invariant, unoriente...

In the given paper a method of the parameter quantization in speech coder on basis of human auditory model is presented. Output speech parameters of the coder are three sinusoidal parameters: amplitude, frequency and phase. For amplitude and frequency quantization we propose to use a vector quantization, and for phases – scalar quantization. This parameter quantization method allows to achieve ...

A new digital image compression standard has been adopted by the US Federal Bureau of Investigation for use on digitized gray-scale fingerprint images. The algorithm is based on adaptive uniform scalar quantization of a discrete wavelet transform image decomposition and is referred t o as the wavelet/scalar quantization standard. The standard produces archival quality images at compression rati...

We experimentally assess compression with scalar and vector quantization for fixed-mobile convergent networks. We show that four-dimensional vector quantization allows 73% compression compliant with 3GPP EVM recommendations for transmissions over 25 km SSMF with 1:16 split ratio.

We consider the compression of a continuous real-valued source X using scalar quantizers and average squared error distortion D. Using lossless compression of the quantizer’s output, Gish and Pierce showed that uniform quantizing yields the smallest output entropy in the limit D → 0, resulting in a rate penalty of 0.255 bits/sample above the Shannon Lower Bound (SLB). We present a scalar quanti...

Abstract We present, for the first time, quantization process Einstein-aether scalar field cosmology. consider a cosmological theory proposed as Lorentz violating inflationary model, where aether and fields interact through assumption that action constants are ultra-local functions of field. For this specific there is valid minisuperspace description which we use to quantize. particular relatio...

We study the average distortion introduced by scalar, vector, and entropy coded quantization of compressive sensing (CS) measurements. The asymptotic behavior of the underlying quantization schemes is either quantified exactly or characterized via bounds. We adapt two benchmark CS reconstruction algorithms to accommodate quantization errors, and empirically demonstrate that these methods signif...

A new variable-rate embedded quantization technique, called Embedded Entropy-Constrained Trellis Coded Quantization (E-ECTCQ) is developed. Its performance is compared to that of variable-rate embedded scalar quantizers. Simulations indicate that performance depends both upon the number of embedded quantization stages and the number of trellis states.

AbstructThe statistical properties of the error in uniform scalar quantization have been analyzed by a number of authors in the past, and is a well-understood topic today. The analysis has also been extended to the case of dithered quantizers, and the advantages and limitations of dithering have been studied and well documented in the literature. Lattice vector quantization is a natural extensi...

An efficient algorithm for color image quantization is proposed based on a new vector quantization technique that we call sequential scalar quantization. The scalar components of the 3-D color vector are individually quantized in a predetermined sequence. With this technique, the color palette is designed very efficiently, while pixel mapping is performed with no computation. To obtain an optim...