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Regression analysis using orthogonal polynomials in the time domain is used to derive closed-form expressions for causal and non-causal filters with an infinite impulse response (IIR) and a maximally-flat magnitude and delay response. The…

信息论 · 计算机科学 2015-08-21 Hugh L. Kennedy

Shape- and scale-selective digital-filters, with steerable finite/infinite impulse responses (FIR/IIRs) and non-recursive/recursive realizations, that are separable in both spatial dimensions and adequately isotropic, are derived. The…

信号处理 · 电气工程与系统科学 2020-08-19 Hugh L. Kennedy

A simple procedure for the design of recursive digital filters with an infinite impulse response (IIR) and non-recursive digital filters with a finite impulse response (FIR) is described. The fixed-lag smoothing filters are designed to…

信号处理 · 电气工程与系统科学 2025-07-22 Hugh Lachlan Kennedy

Perfect reconstruction filter banks can be used to generate a variety of wavelet bases. Using IIR linear phase filters one can obtain symmetry properties for the wavelet and scaling functions. In this paper we describe all possible IIR…

数值分析 · 数学 2011-12-23 Lucas Monzon

The design of digital filters is a fundamental process in the context of digital signal processing. The purpose of this paper is to study the use of $\lp$ norms (for $2 < p < \infty$) as design criteria for digital filters, and to introduce…

信息论 · 计算机科学 2012-07-20 Ricardo A. Vargas , C. Sidney Burrus

Recursive, causal and non-causal, multidimensional digital filters, with infinite impulse responses and maximally flat magnitude and delay responses in the low-frequency region, are designed to negate correlated clutter and interference in…

计算机视觉与模式识别 · 计算机科学 2015-04-02 Hugh L. Kennedy

A new optimization method for the design of nearly linear-phase IIR digital filters that satisfy prescribed specifications is proposed. The group-delay deviation is minimized under the constraint that the passband ripple and stopband…

系统与控制 · 计算机科学 2016-11-18 R. C. Nongpiur , D. J. Shpak , A. Antoniou

Laser resonators have outputs with Gaussian spatial beam profiles. In laser interference lithography (LIL), using such Gaussian shaped beams leads to an inhomogeneous exposure of the substrate. As a result, dimensions of lithography defined…

光学 · 物理学 2023-11-22 Giovanna Capraro , Maxim Lipkin , Michael Möller , Jens Bolten , Max C. Lemme

We present a method for improving the efficiency and user experience of freeform illumination design with machine learning. By utilizing orthogonal polynomials to interface with artificial neural networks, we are able to generalize…

机器学习 · 计算机科学 2019-03-28 Caleb Gannon , Rongguang Liang

This paper considers the application of FPGA-based IIR filtering to increase the usable bandwidth of a piezoelectric transducer used in optical phase locking. We experimentally perform system identification of the interferometer system with…

Many active noise and vibration control systems require models of the control paths. When the controlled system changes slightly over time, adaptive digital filters for the identification of the models are useful. This paper aims at the…

系统与控制 · 电气工程与系统科学 2021-04-23 Dirk Mayer

The double-direction orthogonalization algorithm is applied to construct sequences of polynomials, which are orthogonal over the interval [0,1]with the weighting function 1. Functional and recurrent relations are derived for the sequences…

数值分析 · 数学 2025-10-20 Vladimir Chelyshkov

In this paper we investigate polynomial interpolation using orthogonal polynomials. We use weight functions associated with orthogonal polynomials to define a weighted form of Lagrange interpolation. We introduce an upper bound of error…

数值分析 · 数学 2019-10-23 Maha Youssef , Gerd Baumann

This paper reported a general noninterferometric high-accuracy quantitative phase imaging (QPI) method for arbitrary complex valued objects. Given by a typical 4f optical configuration as the imaging system, three frames of small-window…

图像与视频处理 · 电气工程与系统科学 2021-05-05 Jianhui Huang , An Pan , Huiliang Jin , Guoxiang Meng , Qian Ye

Digital cameras and displays utilise picture elements (pixels) that perform a single function: detecting or emitting light intensity. To exploit the full information content of electromagnetic waves, more advanced elements are required.…

In the application of semiconductor detectors, the charge-sensitive amplifier is widely used in front-end electronics. The output signal is shaped by a typical exponential decay. Depending on the feedback network, this type of front-end…

仪器与探测器 · 物理学 2016-06-23 P. Födisch , J. Wohsmann , B. Lange , J. Schönherr , W. Enghardt , P. Kaever

We introduce a novel method for designing attenuation filters in digital audio reverberation systems based on Feedback Delay Networks (FDNs). Our approach uses Second Order Sections (SOS) of Infinite Impulse Response (IIR) filters arranged…

声音 · 计算机科学 2025-11-26 Ilias Ibnyahya , Joshua D. Reiss

In this work, the benefits of the phase fitting technique are embedded in high order discrete Lagrangian integrators. The proposed methodology creates integrators with zero phase lag in a test Lagrangian in a similar way used in phase…

天体物理仪器与方法 · 物理学 2009-04-02 O. T. Kosmas , D. S. Vlachos

It remains an open problem to find the optimal configuration of phase shifts under the discrete constraint for intelligent reflecting surface (IRS) in polynomial time. The above problem is widely believed to be difficult because it is not…

信息论 · 计算机科学 2023-09-08 Shuyi Ren , Kaiming Shen , Xin Li , Xin Chen , Zhi-Quan Luo

Digital filters for recursively computing the discrete Fourier transform (DFT) and estimating the frequency spectrum of sampled signals are examined, with an emphasis on magnitude-response and numerical stability. In this tutorial-style…

系统与控制 · 计算机科学 2015-08-26 Hugh L. Kennedy
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