The problem of reducing the deviation from a desired transfer function caused by the coefficient quantization errors is investigated for a three-dimensional (3D) separable in denominator digital filter. To begin with, a 3-D transfer function with separable denominator is represented with the cascade connection of three one-dimensional (1-D) transfer functions by applying a minimal decomposition...

The problem of reducing the deviation from a desired transfer function caused by the coefficient quantization errors is investigated for a three-dimensional (3-D) separable in denominator digital filter. To begin with, a 3-D transfer function with separable denominator is represented with the cascade connection of three one-dimensional (1-D) transfer functions by applying a minimal decompositio...

We study asymptotic percolation as N → ∞ in an infinite random graph G N embedded in the hierarchical group of order N , with connection probabilities depending on an ultrametric distance between vertices. G N is structured as a cascade of finite random subgraphs of (approximate) Erd ′′ os-Rényi type. However, the results are different from those of classical random graphs, e.g., the average le...

This paper investigates the problem of reducing the deviation from a desired transfer function caused by the coefficient quantization errors of a three-dimensional (3-D) separable-denominator digital filter. First, a 3-D transfer function with separable denominator is represented with the cascade connection of three one-dimensional (1-D) transfer functions by applying a minimal decomposition te...

Parallel-cascade realizations of truncated Volterra systems implement higher-order systems using a parallel connection of multiplicative combinations of lower-order systems. Such realizations are modular and permit efficient approximations of truncated Volterra systems. Frequency-domain realizations of the leastmean-square (LMS) adaptive filter and the normalized LMS adaptive filter that implem...

This paper shows a new concept to generate medium voltage (MV) in wind power application avoid an additional transformer. Therefore, the generator must be redesigned with constraints and topology for rectifier system by using multiple low (LV) rectifiers connected series parallel increase DC output voltage. The combination of connection is further introduced as DC-cascade. With resulting DC-cas...

The problem of linear equivalence for a general class of nonlinear systems, is examined throughout this paper. A relevant algorithm is developed, based on a factorization procedure. This factorization is based on the star-product, an operation corresponding to the cascade connection of systems.