[KNJIGA][B] Positive trigonometric polynomials and signal processing applications

B Dumitrescu - 2007 - Springer
A few words on the second edition. By a nice coincidence, Springer's proposal to revise the
book came when I was giving a serious thought to the idea. Ten years have passed and my …

Minimum-variance recursive filtering for two-dimensional systems with degraded measurements: boundedness and monotonicity

J Liang, F Wang, Z Wang, X Liu - IEEE transactions on …, 2019 - ieeexplore.ieee.org
This paper addresses the recursive minimum-variance filtering problem for a class of two-
dimensional shift-varying systems with stochastic nonlinearity and degraded measurements …

Interpolation and extrapolation of Toeplitz matrices via optimal mass transport

F Elvander, A Jakobsson… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
In this work, we propose a novel method for quantifying distances between Toeplitz
structured covariance matrices. By exploiting the spectral representation of Toeplitz …

[HTML][HTML] Design and Polyphase Implementation of Rotationally Invariant 2D FIR Filter Banks Based on Maximally Flat Prototype

R Matei, DF Chiper - Electronics, 2024 - mdpi.com
This paper presents a design approach for a class of rotationally invariant 2D filters of finite
impulse response (FIR) type, which may form circular filter banks with imposed …

Matrix-based algorithms for constrained least-squares and minimax designs of 2-D linear-phase FIR filters

X Hong, X Lai, R Zhao - IEEE transactions on signal processing, 2013 - ieeexplore.ieee.org
The impulse response coefficients of a two-dimensional (2-D) finite impulse response (FIR)
filter are in a matrix form in nature. Conventional optimal design algorithms rearrange the …

A sequential constrained least-square approach to minimax design of 2-D FIR filters

X Lai, Y Cheng - IEEE Transactions on Circuits and Systems II …, 2007 - ieeexplore.ieee.org
The solution to minimax design of 2-D finite-impulse response filter is not necessarily
unique. This paper presents a sequential constrained least-square (SCLS) method to obtain …

Multidimensional FIR filter design via trigonometric sum-of-squares optimization

T Roh, B Dumitrescu… - IEEE Journal of Selected …, 2007 - ieeexplore.ieee.org
We discuss a method for multidimensional FIR filter design via sum-of-squares formulations
of spectral mask constraints. The sum-of-squares optimization problem is expressed as a …

Inequalities for trigonometric sums

S Koumandos - Nonlinear Analysis: Stability, Approximation, and …, 2012 - Springer
We give a survey of recent results on positive trigonometric sums. Far-reaching extensions
and generalizations of classical results are presented. We provide new proofs as well as …

On the stability of spatially distributed systems

T Zhou - IEEE Transactions on Automatic Control, 2008 - ieeexplore.ieee.org
In this note, a sufficient condition is derived for the stability of a spatially invariant distributed
dynamical system, based on the geometrical structure of the null space of a matrix …

[HTML][HTML] Synthesis of High-Selectivity Two-Dimensional Filter Banks Using Sigmoidal Function

P Apostolov - Electronics, 2024 - mdpi.com
This paper explores an application of the sigmoidal function—the complementary integral
Gaussian error function (erfc (.))—in two-dimensional (2D) uniform and nonuniform filter …