Recently, we pointed out that on a class on non exactly decimable frac-tals two diierent parameters are required to describe diiusive and vibra-tional dynamics. This phenomenon we call dynamical dimension splitting is related to the lack of exact decimation invariance for these structures, which turn out to be invariant under a more complex cutting-decimation transform. In this paper we study i...

An edge-preserving method for image resizing (decimation and interpolation) is proposed. The decimation is considered as an orthogonal projection with respect to the chosen interpolation basis. The latter one is formed in a spline-like manner as a linear combination of B-splines of different degrees. This combination is optimized in such a way that the small image details are preserved. Conside...

In this paper, the designing of decimation filter for sigma-delta (∑-∆) ADC having different oversampling ratio (OSR) is described. The decimation filter perform the operation of down sampling of a high frequency, low resolution signal to Nyquist rate, high resolution digital output. The design of a decimation filter is projected that employs two stagesCascaded Integrator Comb (CIC) filters and...

In this paper, let n = 2m and d = 3 − 2 with m ≥ 2 and gcd(d, 3n − 1) = 1. By studying the weight distribution of the ternary Zetterberg code and counting the numbers of solutions of some equations over the finite field F3n , the correlation distribution between a ternarym-sequence of period 3n−1 and its d-decimation sequence is completely determined. This is the first time that the correlation...

The location of an electromagnetic emitter is commonly estimated by intercepting its signal and then sharing the data among several platforms. Doing this in a timely fashion requires effective data compression. Previous data compression efforts have focused on minimizing the mean-square error (MSE) due to compression. However, this criterion is likely to fall short because it fails to exploit h...

Hierarchical graphs using a decimation process can be applied to an image to obtain segmentation. However, this method encounters limitations. First the decimation proceeds at each step in a general way on the entire image. Second, a criterion is needed to stop the iterative process when the best segmentation is obtained. We propose a statistical test to control the region growing process. This...

We investigate the stability and instability of pathologies of renormalization group transformations for lattice spin systems under decimation. In particular we show that, even if the original renormalization group transformation gives rise to a non Gibbsian measure, Gibbsiannes may be restored by applying an extra decimation trasformation. This fact is illustrated in details for the block spin...