Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robustness Analysis of the Data-Selective Volterra NLMS Algorithm   Recently, the data-selective adaptive Volterra filters have been proposed;
however, up to now, there are not any theoretical analyses on its behavior
rather than numerical simulations. Therefore, in this paper, we analyze the
robustness (in the sense of l2-stability) of the data-selective Volterra
normalized least-mean-square (DS-VNLMS) algorithm. First, we study the local
robustness of this algorithm at any iteration, then we propose a global bound
for the error/discrepancy in the coefficient vector. Also, we demonstrate that
the DS-VNLMS algorithm improves the parameter estimation for the majority of
the iterations that an update is implemented. Moreover, we prove that if the
noise bound is known, we can set the DS-VNLMS so that it never degrades the
estimate. The simulation results corroborate the validity of the executed
analysis and demonstrate that the DS-VNLMS algorithm is robust against noise,
no matter how its parameters are adopted.

31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
2
The categories of this paper are: math