The history of the theory and practice of quantization dates to 1948, although similar ideas had appeared in the literature as long ago as 1898. The fundamental role of quantization in modulation and analog-to-digital conversion was first recognized during the early development of pulsecode modulation systems, especially in the 1948 paper of Oliver, Pierce, and Shannon. Also in 1948, Bennett pu...

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 ...

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...

the robustness property can be added to dsc system at the expense of reducing performance, i.e., increasing the sum-rate. the aim of designing robust dsc schemes is to trade off between system robustness and compression efficiency. in this paper, after deriving an inner bound on the rate–distortion region for the quadratic gaussian mdc based rdsc system with two encoders, the structure of the r...

In this paper we introduce a technique of tracking and quantizing the complex envelope of a narrowband process, which is a continuous time Gauss-Markov process of arbitrary order. The narrowband process is modeled in a state space framework and several quantization schemes using the inphase and the quadrature components of the narrowband process are considered. These inphase and quadrature comp...

The quantization of a constant of motion for the harmonic oscillator with a time-explicitly depending external force is carried out. This quantization approach is compared with the normal Hamiltonian quantization approach. Numerical results show that there are qualitative and quantitative differences for both approaches, suggesting that the quantization of this constant of motion may be verifie...

Data quantization methods for continuous attributes play an extremely important role in artificial intelligence, data mining and machine learning because discrete values of attributes are required in most classification methods. In this paper, we present an interval similarity-based quantization method for continuous data. It defines an interval similarity criterion which is regarded as a new m...

In this paper, we study quantization on a compact integral symplectic manifold X with transversal real polarizations. the case of complex polarizations, namely is Kähler equipped polarizations $$T^{1, 0}X, T^{0, 1}X$$ , geometric gives $$H^0(X, L^{\otimes k})$$ ’s. They are acted upon by $${\mathcal {C}}^\infty (X, {\mathbb {C}})$$ via Toeplitz operators as $$\hbar = \tfrac{1}{k} \rightarrow 0^...

ETRI Journal, Volume 23, Number 1, March 2001 Efficient quantization methods of the line spectrum pairs (LSP) which have good performances, low complexity and memory are proposed. The adaptive quantization range method utilizing the ordering property of LSP parameters is used in a scalar quantizer and a vector-scalar hybrid quantizer. As the maximum quantization range of each LSP parameter is v...