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This paper presents a robust fixed lag smoother for a class of nonlinear uncertain systems. A unified scheme, which combines a nonlinear robust estimator with a stable fixed lag smoother, is presented to improve the error covariance of the…

Systems and Control · Computer Science 2013-09-10 Obaid Ur Rehman , Ian R. Petersen

System identification is an exceptionally expansive topic and of remarkable significance in the discipline of signal processing and communication. Our goal in this paper is to show how simple adaptive FIR and IIR filters can be used in…

Signal Processing · Electrical Eng. & Systems 2018-07-19 Ibraheem Kasim Ibraheem

FIR (finite impulse response) digital filter design is a fundamental problem in signal processing. In particular, FIR approximation of analog filters (or systems) is ubiquitous not only in signal processing but also in digital…

Information Theory · Computer Science 2014-07-10 Masaaki Nagahara , Yutaka Yamamoto

In modern digital filter chip design, efficient resource utilization is a hot topic. Due to the linear phase characteristics of FIR filters, a pulsed fully parallel structure can be applied to address the problem. To further reduce hardware…

Hardware Architecture · Computer Science 2023-11-27 Mengwei Hu , Zhengxiong Li , Xianyang Jiang

When interference affecting various communication and sensor systems contains clearly identifiable outliers (e.g. an impulsive component), it can be efficiently mitigated in real time by intermittently nonlinear filters developed in our…

Signal Processing · Electrical Eng. & Systems 2019-06-05 Alexei V. Nikitin , Ruslan L. Davidchack

A common assumption in signal processing is that underlying data numerically conforms to a Gaussian distribution. It is commonly utilized in signal processing to describe unknown additive noise in a system and is often justified by citing…

Signal Processing · Electrical Eng. & Systems 2025-10-14 Jennie Couchman , Phillip Stanley-Marbell

In the field of signal processing on graphs, graph filters play a crucial role in processing the spectrum of graph signals. This paper proposes two different strategies for designing autoregressive moving average (ARMA) graph filters on…

Signal Processing · Electrical Eng. & Systems 2018-07-02 Jiani Liu , Elvin Isufi , Geert Leus

Diffusion models have become a leading paradigm for image super-resolution (SR), but existing methods struggle to guarantee both the high-frequency perceptual quality and the low-frequency structural fidelity of generated images. Although…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Hexin Zhang , Dong Li , Jie Huang , Bingzhou Wang , Xueyang Fu , Zhengjun Zha

The Iterative Filtering method is a technique aimed at the decomposition of non-stationary and non-linear signals into simple oscillatory components. This method, proposed a decade ago as an alternative technique to the Empirical Mode…

Numerical Analysis · Mathematics 2021-11-24 Antonio Cicone , Stefano Serra-Capizzano , Haomin Zhou

Designing high-performance substrate-integrated waveguide (SIW) filters with both closely spaced and widely separated resonances is challenging. Consequently, there is a growing need for robust methods that reduce reliance on time-consuming…

Machine Learning · Computer Science 2025-10-21 Mohammad Mashayekhi , Kamran Salehian , Abbas Ozgoli , Saeed Abdollahi , Abdolali Abdipour , Ahmed A. Kishk

Savitzky-Golay (SG) filters are finite impulse response (FIR) realizations of least-squares polynomial regression and they are widely used for filtering (e.g. smoothing, interpolating, predicting, differentiating) and processing (e.g.…

Systems and Control · Electrical Eng. & Systems 2022-08-16 Hugh L Kennedy

With the upgrade of current gravitational wave detectors, the first detection of gravitational wave signals is expected to occur in the next decade. Low-latency gravitational wave triggers will be necessary to make fast follow-up…

General Relativity and Quantum Cosmology · Physics 2012-07-20 Shaun Hooper , Shin Kee Chung , Jing Luan , David Blair , Yanbei Chen , Linqing Wen

Recursive Bayesian filters have been widely deployed in structural system identification where output-only filters are of higher practicality. Unfortunately, the estimation obtained by instantaneous system inversion via filters can be…

Applications · Statistics 2024-07-30 Zihao Liu , Mohsen Ebrahimzadeh Hassanabadi , Daniel Dias-da-Costa

Finite Rate of Innovation (FRI) sampling theory enables reconstruction of classes of continuous non-bandlimited signals that have a small number of free parameters from their low-rate discrete samples. This task is often translated into a…

Signal Processing · Electrical Eng. & Systems 2023-07-21 Vincent C. H. Leung , Jun-Jie Huang , Yonina C. Eldar , Pier Luigi Dragotti

Model based signal processing or signal analysis or signal representation has a rather different point of view from the more traditional filtering and algorithm based approaches. However, in all of these, the names of Prony, Pad\'e, and…

Signal Processing · Electrical Eng. & Systems 2019-09-13 C. Sidney Burrus

In the analysis of real-world data, extracting meaningful features from signals is a crucial task. This is particularly challenging when signals contain non-stationary frequency components. The Iterative Filtering (IF) method has proven to…

Numerical Analysis · Mathematics 2026-04-01 Giuseppe Scarlato , Antonio Cicone , Marco Donatelli

In this paper, new insights in frequency-domain implementations of digital finite-length impulse response filtering (linear convolution) using overlap-add and overlap-save techniques are provided. It is shown that, in practical…

Signal Processing · Electrical Eng. & Systems 2023-03-15 Hakan Johansson , Oscar Gustafsson

Intelligent reflecting surface (IRS) that enables the control of wireless propagation environment has recently emerged as a promising cost-effective technology for boosting the spectrum and energy efficiency in future wireless communication…

Information Theory · Computer Science 2020-02-25 Samith Abeywickrama , Rui Zhang , Qingqing Wu , Chau Yuen

Phase retrieval aims to recover a signal from intensity-only measurements, a fundamental problem in many fields such as imaging, holography, optical computing, crystallography, and microscopy. Although there are several well-known phase…

Image and Video Processing · Electrical Eng. & Systems 2026-01-21 Mehmet Onurcan Kaya , Figen S. Oktem

We present a finite-time framework for identifying stable and unstable linear time-invariant (LTI) systems from a single closed-loop input-output trajectory. The method does not require knowledge of the stabilizing controller, an…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Ahmad Al-Tawaha , Ming Jin , Khaled F. Aljanaideh