The global maximum of an entropy function with different decision levels for a three-level scalar quantizer performed after a discrete wavelet transform was derived. Herein, we considered the case of entropy-constrained scalar quantization capable of avoiding many compression ratio reductions as the mean squared error was minimized. We also dealt with the problem of minimum entropy with an erro...

The problem of scalar and vector quantization in conjunction with a noisy binary symmetric channel is considered. The issue is the assignment of the shortest possible distinct binary sequences to quantization levels or vectors so as to minimize the mean squared error caused by channel errors. By formulating the assignment as a matrix (or vector in the scalar case) and showing that the mean squa...

We consider the photon field between an unusual configuration of infinite parallel plates: a perfectly conducting plate (ǫ → ∞) and an infinitely permeable one μ → ∞). After quantizing the vector potential in the Coulomb gauge, we obtain explicit expressions for the vacuum expectation values of field operators of the form < ÊiÊj >0 and < B̂iB̂j >0. These field correlators allow us to reobtain the...

In this paper, we study an asymptotic approximation of the Fisher information for the estimation of a scalar parameter using quantized measurements. We show that, as the number of quantization intervals tends to infinity, the loss of Fisher information induced by quantization decreases exponentially as a function of the number of quantization bits. A characterization of the optimal quantizer th...

A new fingerprint recognition approach based on features extracted from the wavelet domain is presented. The 64-subband structure proposed by the FBI WSQ standard is used to decompose the frequency of the image. The efficiency of the method is achieved by using the k-nearest neighbor (k-NN) classifier. The result is compared with other image-based methods. For compressed fingerprint images, thi...

We study canonical quantization of Jackiw-Teibelboim (JT) gravity coupled to a massless scalar field. provide concrete expressions matter SL(2,{\,\bf R}) charges and the boundary operators in terms creation annihilation The are represented form an oscillator (Jordon-Schwinger) realization algebra. also show how gauge constraints implemented classically, by matching explicitly classical solution...