In this paper, we study probabilistic numerical methods based on optimal quantization algorithms for computing the solution to optimal multiple switching problems with regime-dependent state process. We first consider a discrete-time approximation of the optimal switching problem, and analyze its rate of convergence. The error is of order 1 2 − ε, ε > 0, and of order 12 when the switching costs...

This paper presents an error shaping technique for line spectrum frequency (LSF) vector quantization. The error shaping technique based on the weighted logarithm spectral distortion (WLSD) measure can be used for shaping the spectral distortion distribution ofquantization error into anydifferent curve depending on what kind of weighting function is used. However, the high computational complexi...

Displaying natural images on an 8 bit computer monitor requires a substantial reduction of physically distinct colors. Simple minimum mean squared error (MMSE) quantization with 8 levels of red and green and 4 levels of blue yields poor image quality. A powerful means to improve the subjective quality of a quantized image is error diffusion. Error diffusion works by shaping the spectrum of the ...

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...

Under the condition of limited feedback, due to the multiple antennas cognitive two-way relay system due to the relay node have been the channel state information and the actual channel state information is error, caused the user system interference to primary user system increases, at the same time reduces the transmission rate of user system. Aiming at this problem, this paper on the basis of...

Displaying natural images on an 8-bit computer monitor requires a substantial reduction ofphysically distinct colors. Simple minimum mean squared error quantization with 8 levels of red and green and 4 levels of blue yields poor image quality. A powerful means to improve the subjective quality of a quantized image is error diffusion. Error diffusion works by shaping the spectrum of the display ...

High-rate (or asymptotic) quantization theory has found formulas for the average squared length (more generally, the q-th moment of the length) of the error produced by various scalar and vector quantizers with many quantization points. In contrast, this paper finds an asymptotic formula for the probability density of the length of the error and, in certain special cases, for the probability de...