A vector quantizer maps a k-dimensional vector into one of a finite set of output vectors or “points”. Although certain lattices have been shown to have desirable properties for vector quantization applications, there are as yet no algorithms available in the quantization literature for building quantizers based on these lattices. An algorithm for designing vector quantizers based on the root l...

In this paper, a non-uniform sampling algorithm is proposed for one-dimensional bandlimited time varying signals. The main feature of the proposed sampling scheme is that the sampling steps are inversely proportional to signal gradient or slope of the signal. As a result, a smaller sampling step is obtained whenever the gradient is high and vice-versa. Thus, a better representation of the signa...

In this paper we propose a new method, based on the conditional distribution method in Monte-Carlo methods, to generate the uniform distribution on the domain T n (a; b) = f(x 1 ; ; x n) : 0 a i x i b i 1; 0 i n; x 1 + + x n = 1g, where a = (a 1 ; ; a n) and b = (b 1 ; ; b n). By this new method we can easily obtain uniform designs of experiments with mixtures, i.e., to generate a set of points...