Modelling video packet transmission in IP networks using Hammerstein series and higher order cumulants

Recursive wind speed forecasting based on Hammerstein Auto-Regressive model

“…Hammerstein model, widely used in biomedical engineering, electronic and communication system modeling [36][37][38], is a special case of the nonlinear Volterra functional series that models a system's output as a series of infinite convolutions of the input. For recursive WSF, the input is a subset of historical wind speed data and the output is a similar subset advanced in time by one time step (typically one hour).…”

Yapay Ari Koloni̇si̇ Algori̇tmasi İle Opti̇mi̇ze Edi̇len Hammerstein Model Kullanarak Si̇stemleri̇n Ki̇mli̇klendi̇ri̇lmesi̇

“…It can be converged quickly since it has a memoryless structure. Therefore, it is frequently used in the block oriented model [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40]. A polynomial of a known p order in the input, can be expressed as follows:…”

“…Here m is the memory length and b k is the parameter of FIR model [16]. Although a simple model structure is not preferred in the Hammerstein model [24][25][26][27][28][29][30][31][32][33][34][35].…”

“…Hammerstein model is a class of block oriented model [13,[26][27][28][29][30][31][32][33]. This model consists of a series connection of a nonlinear sub model followed by a linear sub model.…”

“…Hammerstein model is firstly suggested by Narendra and Gallman in 1966 and various models are tested to improve the model [36][37][38][39]. Generally, Memoryless Polynomial Nonlinear (MPN) model for nonlinear part and FIR or IIR model for linear part are preferred in Hammerstein models in literature [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40]. In this kind of cascade models, the polynomial representation has advantage of more flexibility and of a simpler use.…”