Results 1 to 10 of about 3,545,130 (223)
Perturbation theory with quantum signal processing [PDF]
Quantum, 2023 Perturbation theory is an important technique for reducing computational cost and providing physical insights in simulating quantum systems with classical computers.
Kosuke Mitarai +2 more
doaj +5 more sources
Information Theory Applications in Signal Processing [PDF]
Entropy, 2019 The birth of Information Theory, right after the pioneering work of Claude Shannon and his celebrated publication of the paper “A mathematical theory of Communication” [...]
Sergio Cruces +2 more
doaj +8 more sources
Algebraic Signal Processing Theory: Cooley-Tukey Type Algorithms for DCTs and DSTs [PDF]
IEEE Transactions on Signal Processing, 2007 This paper presents a systematic methodology based on the algebraic theory of signal processing to classify and derive fast algorithms for linear transforms.
Moura, Jose M. F., Pueschel, Markus
core +4 more sources
A Hilbert Space Theory of Generalized Graph Signal Processing [PDF]
IEEE Transactions on Signal Processing, 2019 Graph signal processing (GSP) has become an important tool in many areas such as image processing, networking learning and analysis of social network data.
Ji, Feng, Tay, Wee Peng
core +2 more sources
Algebraic Signal Processing Theory: An Overview [PDF]
2006 IEEE 12th Digital Signal Processing Workshop & 4th IEEE Signal Processing Education Workshop, 2006 We give an overview of the algebraic signal processing theory, a recently proposed generalization of linear signal processing (SP). Algebraic SP (ASP) is built axiomatically on top of the concept of a signal model, which is a triple (A, M, Phi), where A is a chosen algebra of filters, M an associated A-module of signals, and Phi generalizes the idea of
Markus Püschel
semanticscholar +2 more sources
Investigating signal processing theory with Mathematica [PDF]
IEEE International Conference on Acoustics Speech and Signal Processing, 1993 The authors present extensions to the computer algebra and multimedia environment Mathematica to enable students to investigate signal processing theory. Students interact with the extensions at two levels. The lower level is a set of Mathematica programs called the signal processing packages (SPPs) that implement signals and systems not found in the ...
B. Evans, J. McClellan, H. Trussell
semanticscholar +2 more sources
Algebraic Signal Processing Theory
arXiv.org, 2006 This paper presents an algebraic theory of linear signal processing. At the core of algebraic signal processing is the concept of a linear signal model defined as a triple (A, M, phi), where familiar concepts like the filter space and the signal space ...
Markus Püschel, José M. F. Moura
semanticscholar +3 more sources
Convex Quaternion Optimization for Signal Processing: Theory and Applications [PDF]
IEEE Transactions on Signal Processing, 2023 Convex optimization methods have been extensively used in communications and signal processing. However, the theory of quaternion optimization is currently not as fully developed and systematic as that of complex and real optimization.
Shuning Sun +4 more
semanticscholar +1 more source
Graph Signal Processing: History, development, impact, and outlook [PDF]
IEEE Signal Processing Magazine, 2023 Signal processing (SP) excels at analyzing, processing, and inferring information defined over regular (first continuous, later discrete) domains such as time or space.
G. Leus +4 more
semanticscholar +1 more source
Deep Learning Meets Sparse Regularization: A signal processing perspective [PDF]
IEEE Signal Processing Magazine, 2023 Deep learning (DL) has been wildly successful in practice, and most of the state-of-the-art machine learning methods are based on neural networks (NNs). Lacking, however, is a rigorous mathematical theory that adequately explains the amazing performance ...
Rahul Parhi, R. Nowak
semanticscholar +1 more source