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In this paper, a library-based synthesis methodology for reversible circuits is proposed where a reversible specification is considered as a permutation comprising a set of cycles. To this end, a pre-synthesis optimization step is…

Quantum Physics · Physics 2012-09-04 Mehdi Saeedi , Mehdi Sedighi , Morteza Saheb Zamani

Optimal controller synthesis is a bilinear problem and hence difficult to solve in a computationally efficient manner. We are able to resolve this bilinearity for systems with delay by first convexifying the problem in infinite-dimensions -…

Systems and Control · Computer Science 2018-07-13 Matthew M. Peet

The method of filtered back projection (FBP) is a widely used reconstruction technique in X-ray computerized tomography (CT), which is particularly important in clinical diagnostics. To reduce scanning times and radiation doses in medical…

Numerical Analysis · Mathematics 2024-08-14 Matthias Beckmann , Judith Nickel

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

The purpose of this work is the design of FIR QMF (Quadrature Mirror Filters) filters of perfect reconstruction and odd number of coefficients (even order). By design, these filters will have linear phase and integer delay. These filter…

Signal Processing · Electrical Eng. & Systems 2022-10-28 Fernando Martin-Rodriguez , Fernando Isasi-de-Vicente , Monica Fernandez-Barciela

In this paper, we consider nonsubsampled graph filter banks (NSGFBs) to process data on a graph in a distributed manner. Given an analysis filter bank with small bandwidth, we propose algebraic and optimization methods of constructing…

Information Theory · Computer Science 2017-09-14 Junzheng Jiang , Cheng Cheng , Qiyu Sun

Signal reconstruction from magnitude-only measurements presents a long-standing problem in signal processing. In this contribution, we propose a phase (re)construction method for filter banks with uniform decimation and controlled frequency…

Sound · Computer Science 2022-02-18 Zdeněk Průša , Nicki Holighaus

With the surge of multi- and manycores, much research has focused on algorithms for mapping and scheduling on these complex platforms. Large classes of these algorithms face scalability problems. This is why diverse methods are commonly…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-27 Andrés Goens , Sergio Siccha , Jeronimo Castrillon

This paper proposes a design of low complexity, reconfigurable and narrow transition band (NTB) filter bank (FB). In our proposed Modified Frequency Response Masking (ModFRM) architecture, the modal filter and complementary filter in…

Signal Processing · Electrical Eng. & Systems 2020-07-20 Parvathi A. K. , V. Sakthivel

In this paper, we consider the task of designing a Kalman Filter (KF) for an unknown and partially observed autonomous linear time invariant system driven by process and sensor noise. To do so, we propose studying the following two step…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Anastasios Tsiamis , Nikolai Matni , George J. Pappas

In the companion paper, we proposed a concept of signal matched whitening filter bank and developed a time and order recursive, fast least squares algorithm for the same. Objective of part II of the paper is two fold: first is to define a…

Information Theory · Computer Science 2014-09-18 Binish Fatimah , S. D. Joshi

A new method for designing non-uniform filter-banks for acoustic echo cancellation is proposed. In the method, the analysis prototype filter design is framed as a convex optimization problem that maximizes the signal-to-alias ratio (SAR) in…

Sound · Computer Science 2014-02-19 R. C. Nongpiur , D. J. Shpak

The automated synthesis of correct-by-construction Boolean functions from logical specifications is known as the Boolean Functional Synthesis (BFS) problem. BFS has many application areas that range from software engineering to circuit…

Artificial Intelligence · Computer Science 2022-12-19 Ravi Raja , Stanly Samuel , Chiranjib Bhattacharyya , Deepak D'Souza , Aditya Kanade

There are two main methods to implement FIR filters: software and hardware. In the software method, an FIR filter can be implemented within the processor by programming; it uses too much memory and it is extremely time-consuming while it…

Signal Processing · Electrical Eng. & Systems 2019-04-11 Mohammad Hemmati , Vahid Rashtchi , Ahmad Maleki , Siroos Toofan

Optimum filters are granted increasing recognition as valuable tools for parametric estimation in many scientific and technical fields. The DPLMS method, introduced some twenty years ago, is effective among the synthesis algorithms since it…

Instrumentation and Detectors · Physics 2023-02-17 V. D'Andrea , S. Riboldi , A. Geraci , N. Burlac , F. Salamida

In this paper, we identify a fragment of second-order logic with restricted quantification that is expressive enough to capture numerous static analysis problems (e.g. safety proving, bug finding, termination and non-termination proving,…

Logic in Computer Science · Computer Science 2015-09-01 Cristina David , Daniel Kroening , Matt Lewis

Optimization algorithms can be interpreted through the lens of dynamical systems as the interconnection of linear systems and a set of subgradient nonlinearities. This dynamical systems formulation allows for the analysis and synthesis of…

Optimization and Control · Mathematics 2026-03-27 Jared Miller , Carsten Scherer , Fabian Jakob , Andrea Iannelli

Reversible logic circuit is a necessary construction for achieving ultra low power dissipation as well as for prominent post-CMOS computing technologies such as Quantum computing. Consequently automatic synthesis of a Boolean function using…

Emerging Technologies · Computer Science 2014-06-25 Anupam Chattopadhyay , Chander Chandak , Kaushik Chakraborty

We present a method for synthesizing recursive functions that provably satisfy a given specification in the form of a polymorphic refinement type. We observe that such specifications are particularly suitable for program synthesis for two…

Programming Languages · Computer Science 2016-04-22 Nadia Polikarpova , Ivan Kuraj , Armando Solar-Lezama

To design semiconductor-based optical devices, the optical properties of the used semiconductor materials must be precisely measured over a large band. Transmission spectroscopy stands out as an inexpensive and widely available method for…