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Algebraic signal processing (ASP) is an emerging area of theoretical signal processing (SP). In the algebraic theory of signal processing, a set of filters
Algebraic_signal_processing
Field of electrical engineering
Signal processing is an electrical engineering subfield that focuses on analyzing, modifying and synthesizing signals, such as sound, images, potential
Signal_processing
Transform in mathematics
H.B. Kekra and J.K. Solanka in 1978. From the perspective of algebraic signal processing, both the DST and the DCT arise as spectral transforms associated
Discrete_sine_transform
Similar to the basis of a vector space, but not necessarily linearly independent
dependent. In the terminology of signal processing, a frame provides a redundant, stable way of representing a signal. Frames are used in error detection
Frame_(linear_algebra)
Varying physical quantity that conveys information
multiple subject fields, including signal processing, information theory and biology. In signal processing, a signal is a function that conveys information
Signal
Technique used in signal processing and data compression
perspective of algebraic signal processing, the relationship between the DCT and the DFT reflects their different underlying algebraic structures: the
Discrete_cosine_transform
Frequency divided by a characteristic frequency
In digital signal processing (DSP), a normalized frequency is a ratio of a variable frequency ( f {\displaystyle f} ) and a constant frequency associated
Normalized frequency (signal processing)
Normalized_frequency_(signal_processing)
Quantum algorithm framework
Hamiltonian simulation of Guang Hao Low and Isaac Chuang inspired by signal processing. The basic primitive of quantum singular value transformation is the
Quantum singular value transformation
Quantum_singular_value_transformation
Flow graph invented by Claude Shannon
ultimately to the solution of a system of linear algebraic equations. As an alternative to conventional algebraic methods of solving the system, it is possible
Signal-flow_graph
Mathematics concept
Quincunx matrix Walsh matrix Weighing matrix Quantum logic gate Algebraic signal processing – framework in which the Hadamard matrix arises as the character
Hadamard_matrix
Topics referred to by the same term
aspects of a signal Analogue filter, a basic building block of signal processing much used in electronics Filters used in digital image processing Filter (TV
Filter
Algorithm in computerised tomography
in signal processing and image reconstruction. Inverse Problems 20 103 (2004) Jiang, M.; Wang, G. (2003). "Convergence of the simultaneous algebraic reconstruction
Simultaneous algebraic reconstruction technique
Simultaneous_algebraic_reconstruction_technique
Collection of random variables
Stochastic processes have applications in many disciplines such as biology, chemistry, ecology, neuroscience, physics, image processing, signal processing, control
Stochastic_process
Filters used in signal processing that are optimal in some sense
In signal processing, the output of the matched filter is given by correlating a known delayed signal, or template, with an unknown signal to detect the
Matched_filter
Mathematical software
such as computer-generated imagery and signal processing as image processing sound synthesis Some computer algebra systems focus on specialized disciplines;
Computer_algebra_system
Universal C*-algebra
k-graph C*-algebras. In signal processing, a subband filter with exact reconstruction give rise to representations of a Cuntz algebra. The same filter also
Cuntz_algebra
Study of the properties of codes and their fitness
needed] The term algebraic coding theory denotes the sub-field of coding theory where the properties of codes are expressed in algebraic terms and then
Coding_theory
Function used in signal processing
In signal processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is
Window_function
Smart antenna with multi channels digital beamforming
and Leslie F. Bailey published article regarding using algebraic operations for signal processing with the help of electronic circuits or analog computer
Digital_antenna_array
Correlation of a signal with a time-shifted copy of itself, as a function of shift
patterns or hidden periodicities within a signal obscured by noise. Autocorrelation is widely used in signal processing, time domain and time series analysis
Autocorrelation
programming languages, Esterel and Lustre. The SIGNAL language was first designed for signal processing applications in the beginning of the 1980s. It
SIGNAL_(programming_language)
Mathematical function
multidimensional processes by generalized prolate spheroidal sequences". IEEE Transactions on Acoustics, Speech, and Signal Processing. 36 (12): 1862–1873
Slepian_function
Theory and technique for handling geometrical structures
applications to signal processing (ISMM'93), ISBN 84-7653-271-7 (1993) Mathematical Morphology and Its Applications to Image Processing, J. Serra and P
Mathematical_morphology
Digital processing technique
multidimensional digital signal processing (mD-DSP) is defined as the application of parallel programming and multiprocessing to digital signal processing techniques
Parallel multidimensional digital signal processing
Parallel_multidimensional_digital_signal_processing
In signal processing, a lapped transform is a type of linear discrete block transformation where the basis functions of the transformation overlap the
Lapped_transform
System with self-optimizing transfer function
common cost function is the mean square of the error signal. As the power of digital signal processors has increased, adaptive filters have become much more
Adaptive_filter
Reconstruction of a filtered signal
operations are used in signal processing and image processing. For example, it may be possible to recover the original signal after a filter (convolution)
Deconvolution
System of equations in mathematics
a differential-algebraic system of equations (DAE) is a system of equations that either contains differential equations and algebraic equations, or is
Differential-algebraic system of equations
Differential-algebraic_system_of_equations
Linear algebra aspects of graph theory
in many real-life applications such as signal processing. Strongly regular graph Algebraic connectivity Algebraic graph theory Spectral clustering Spectral
Spectral_graph_theory
Academic journal
analysis and its applications. The relevant applications include signal processing, systems and control theory, statistics, Markov chains, mathematical
SIAM Journal on Matrix Analysis and Applications
SIAM_Journal_on_Matrix_Analysis_and_Applications
Function in discrete mathematics
digital signal processing, the input is often a sampled quantity or signal that varies over time, such as the pressure of a sound wave, a radio signal, or
Discrete_Fourier_transform
Electronic circuit analysis method
small-signal model of the total signal is then the sum of the DC component and the small-signal component of the total signal, or in algebraic notation
Small-signal_model
In signal processing and mathematics, the Babel function, also known as cumulative coherence function (CCF), measures the maximum combined similarity
Babel_function
Adaptive filter algorithm for digital signal processing
Monson H. (1996). "9.4: Recursive Least Squares". Statistical Digital Signal Processing and Modeling. Wiley. p. 541. ISBN 0-471-59431-8. Simon Haykin, Adaptive
Recursive least squares filter
Recursive_least_squares_filter
Polish computer scientist (born 1947)
algorithm for blind signal separation" (PDF). Proc. Advances in Neural Information Processing Systems 8 Advances in Neural Information Processing Systems 8: 757–763
Andrzej_Cichocki
American electrical engineer (born 1937
ISBN 978-0-521-55373-5 Algebraic Codes for Data Transmission, (Cambridge University Press, 2003) ISBN 0-521-55374-1 Algebraic Methods for Signal Processing and Communications
Richard_Blahut
Algorithm
It has many applications ranging from computed tomography (CT) to signal processing. It can be obtained also by applying to the hyperplanes, described
Kaczmarz_method
Commutative, associative algebra of two complex dimensions
of 2N dimensional hypercomplex algebras suitable for digital signal processing (PDF). 14th European Signal Processing Conference, Florence, Italy: EURASIP
Bicomplex_number
Audio programming language
implementing signal processing algorithms in the form of libraries, audio plug-ins, or standalone applications. A FAUST program denotes a signal processor: a mathematical
FAUST_(programming_language)
Integral expressing the amount of overlap of one function as it is shifted over another
include probability, statistics, acoustics, spectroscopy, signal processing and image processing, computer vision and human vision, geophysics, engineering
Convolution
metric geometry Glossary of scheme theory List of algebraic geometry topics List of complex and algebraic surfaces List of circle topics List of topics related
Lists_of_mathematics_topics
Periodicity computation method
ISBN 1-58488-523-8. Darrell Williamson (1999). Discrete-Time Signal Processing: An Algebraic Approach. Springer. ISBN 1-85233-161-5. LSSA package freeware
Least-squares spectral analysis
Least-squares_spectral_analysis
Output as a function of input frequency
In signal processing and electronics, the frequency response of a system is the quantitative measure of the magnitude and phase of the output as a function
Frequency_response
Signal representation
circuits and control systems. Z transform – discrete-time signals, digital signal processing. Wavelet transform — image analysis, data compression. More
Frequency_domain
Additional mathematical object
structure induce its topology. Its order and algebraic structure make it into an ordered field. Its algebraic structure and topology make it into a Lie group
Mathematical_structure
GUI application generator from Sybase Powerhouse PowerShell PPL Processing Processing.js Prograph Project Verona Prolog PROMAL Promela PROSE modeling
List_of_programming_languages
fields, and Hodge theory from algebraic geometry. It has applications to stochastic thermodynamics, signal processing on discrete structures, and the
Helmholtz–Hodge_decomposition
System of rules to convert information into another form or representation
noisy channel Digital signal processing, the study of signals in a digital representation and the processing methods of these signals Digital-to-analog converter
Code
Study of discrete mathematical structures
function fields. Algebraic structures occur as both discrete examples and continuous examples. Discrete algebras include: Boolean algebra used in logic gates
Discrete_mathematics
Computer representation of real numbers
numbers in computer and digital hardware, especially for digital signal processing. A number, X {\displaystyle X} , is represented in an LNS by two components:
Logarithmic_number_system
Field of mathematics
engineering and computational science problems, such as image and signal processing, telecommunication, computational finance, materials science simulations
Numerical_linear_algebra
Signal processing technique
sampling, or sparse sampling) is a signal processing technique for efficiently acquiring and reconstructing a signal by finding solutions to underdetermined
Compressed_sensing
Value in matrix theory
study sparse representations—where signals are built from a few key components in a larger set. In signal processing, mutual coherence is widely used to
Mutual coherence (linear algebra)
Mutual_coherence_(linear_algebra)
Estimate object properties from a finite number of projections
November 2013. Dudgeon and Mersereau (1984). Multidimensional digital signal processing. Prentice-Hall. Herman, G. T., Fundamentals of computerized tomography:
Tomographic_reconstruction
Tool for digital signal processing
In signal processing, a filter bank (or filterbank) is an array of bandpass filters that separates the input signal into multiple components, each one
Filter_bank
Technique in computed tomography
the simultaneous algebraic reconstruction technique (SART) algorithm. Gordon, R; Bender, R; Herman, GT (December 1970). "Algebraic reconstruction techniques
Algebraic reconstruction technique
Algebraic_reconstruction_technique
Computer that uses photons or light waves
waves, such as light, than for the electronic signals in a conventional computer. This may require processing elements with more power and larger dimensions
Optical_computing
Use of a GPU for computations typically assigned to CPUs
General-purpose computing on graphics processing units (GPGPU, or less often GPGP) is the use of a graphics processing unit (GPU), which typically handles
General-purpose computing on graphics processing units
General-purpose_computing_on_graphics_processing_units
computations would of course require signal processing theory, fourier transform theory and the like. And in dealing with algebraic surfaces such as this curved
Joseph_Mundy
Topics referred to by the same term
Normalized frequency (digital signal processing), unit of frequency cycles/sample in digital signal processing The process of establishing normal diplomatic
Normalization
Branch of mathematics
differential equations, number theory, combinatorics, signal processing, digital image processing, probability theory, statistics, forensics, option pricing
Fourier_analysis
Important subject of signal processing and engineering
In signal processing, reconstruction usually means the determination of an original continuous signal from a sequence of equally spaced samples. This article
Signal_reconstruction
Matrix property in linear algebra
Thresholding Algorithms for Compressed Sensing". IEEE Transactions on Signal Processing. 63 (11): 2957–2971. arXiv:1408.6890. Bibcode:2015ITSP...63.2957W
Restricted_isometry_property
In statistics, signal processing, and econometrics, an unevenly (or unequally or irregularly) spaced time series is a sequence of observation time and
Unevenly_spaced_time_series
Specialized electronic circuit that accelerates graphics
A graphics processing unit (GPU) is a specialized electronic circuit designed for digital image processing and to accelerate computer graphics, being
Graphics_processing_unit
Branch of mathematics
mechanics, the theory of partial differential equations, digital signal processing, and electrical engineering. It also provides the foundation and theoretical
Linear_algebra
Part of signal processing in time-frequency analysis
the shared algebraic structure between position-momentum and time-frequency conjugate pairs, it also usefully serves in signal processing, as a transform
Wigner_distribution_function
Topics referred to by the same term
waveforms, rather than continuous ranges Digital signal (signal processing), sampled analog signals represented as a sequence of digital values Digital (album)
Digital
Speech coding algorithm
ideas from CELP. B.S. Atal, "The History of Linear Prediction," IEEE Signal Processing Magazine, vol. 23, no. 2, March 2006, pp. 154–161. M. R. Schroeder
Code-excited linear prediction
Code-excited_linear_prediction
American professor of music and audio signal processing
Sound and Music Group at NeXT Computer, where he developed real-time signal-processing software for the Music Kit, Sound Library, and other audio software
Julius_Smith
In signal processing, Lulu smoothing is a nonlinear mathematical technique for removing impulsive noise from a data sequence such as a time series. It
Lulu_smoothing
Numerical lineral algebra
including scientific computing, numerical linear algebra, and signal processing. Wilkinson (1965). The Algebraic Eigenvalue Problem. Oxford University Press
Wilkinson_matrix
Engineering discipline
control theory, signal processing, and microelectronics, and more applied fields such as computer vision, natural language processing, bioinformatics
Information_engineering
General related fields Machine vision Computer vision Image processing Signal processing Contents: Top 0–9 A B C D E F G H I J K L M N O P Q R S T U
Glossary_of_machine_vision
Number with a real and an imaginary part
explained above. This use is also extended into digital signal processing and digital image processing, which use digital versions of Fourier analysis (and
Complex_number
Process in linear algebra
of signal and noise. It has a wide range of applications in many signals processing and seismic exploration fields. Look up orthogonalization in Wiktionary
Orthogonalization
System whose output depends on moment of observation and input signal application
the atmosphere. Discrete wavelet transform, often used in modern signal processing, is time variant because it makes use of the decimation operation[dubious
Time-variant_system
Mathematical analysis of frequency content of signals
surface or unit bicircle. The DCT and DFT are often used in signal processing and image processing, and they are also used to efficiently solve partial differential
Multidimensional_transform
Research field in deep learning
methods from computational and algebraic topology that permit studying properties of neural networks and their training process, such as their predictive performance
Topological_deep_learning
Functions such that f(–x) equals f(x) or –f(x)
Fourier analysis § Symmetry properties) In signal processing, harmonic distortion occurs when a sine wave signal is sent through a memory-less nonlinear
Even_and_odd_functions
Signal boosting phenomenon using white noise
stochastic resonance, in which random fluctuations, or noise, provide a signal processing benefit in a nonlinear system. Unlike most of the nonlinear systems
Stochastic_resonance
Algorithms for matrix decomposition
document clustering, missing data imputation, chemometrics, audio signal processing, recommender systems, and bioinformatics. In chemometrics non-negative
Non-negative matrix factorization
Non-negative_matrix_factorization
Topics referred to by the same term
statistics and signal processing, an algorithm that estimates the strength of different frequency components (the power spectrum) of a time-domain signal. This
Spectral_analysis
emergence of abstract algebra. This approach explored the axiomatic basis of arbitrary algebraic operations. The invention of new algebraic systems based on
History_of_algebra
Element of a unital algebra over the field of real numbers
of 2^N dimensional hypercomplex algebras suitable for digital signal processing" (PDF), 14th European Signal Processing Conference, Florence, Italy, pp
Hypercomplex_number
American computer scientist
Award. His collaborative work with Geoffrey Hinton and Hui Jiang on signal processing with neural networks revolutionized acoustic modelling for speech
Gerald Penn (computer scientist)
Gerald_Penn_(computer_scientist)
Concept in science
basis substituting the classical Fourier transform in the graph-based signal processing. In applications to imaging, the graph Laplacian is formulated analogous
Negative_probability
Hybrid RISC digital signal processor
Intel's XScale architecture into a single core, combining digital signal processing (DSP) and microcontroller functionality. There are many differences
Blackfin
American mathematician and engineer (1923–2012)
contributions to areas of electrical engineering including radar, signal processing, and image processing. He was part of the team that built the MADDIDA, guidance
Irving_S._Reed
Open-source Python library for scientific computing
optimization, linear algebra, integration, interpolation, special functions, fast Fourier transform, signal and image processing, ordinary differential
SciPy
Simulation of physical processes taking place in an electronic device
an avalanche process). It also refers to details inside the structure, such as the doping profiles after completion of device processing. With this information
Transistor_model
Concept in machine learning
often performed on graphics processing units (GPUs) using CUDA, and on dedicated hardware such as Google's Tensor Processing Unit or Nvidia's Tensor core
Tensor_(machine_learning)
analysis of raw measurement data, signal generation, windowing, filter functions, signal processing, linear algebra, array and complex operations, curve
List_of_numerical_libraries
Applications of category theory
natural language with compact closed categories and Frobenius algebras", Logic and Algebraic Structures in Quantum Computing, Cambridge University Press
Applied_category_theory
Specialized computer hardware
units can be composed in parallel, as in digital signal processing, without being embedded in a processor IP core. Therefore, hardware acceleration is often
Hardware_acceleration
Indian-American computer scientist (born 1944)
algorithms in signal processing and image reconstruction. Inverse Problems 20 103 (2004) Jiang, M. and Ge Wang, "Convergence of the simultaneous algebraic reconstruction
Avinash_Kak
Signal Process. 82, 12 (Dec. 2002), 2025–2028. "An algebraic attack on the improved summation generator with 2-bit memory" Information Processing Letters
Summation_generator
Topics referred to by the same term
for algebraic varieties. Bridgeland stability conditions, a class of stability conditions on elements of a triangulated category. Stability (algebraic geometry)
Stability
Physicist and geneticist
University of Utah. She has published on quantum measurement, genomic signal processing, and tensor decompositions. Alter began attending school at Tel Aviv
Orly_Alter
Process in digital electronics and integrated circuit design
delayed signal processing, and other issues present at the nano-scale level of metallic structures on an integrated circuit. In terms of Boolean algebra, the
Logic_optimization
ALGEBRAIC SIGNAL-PROCESSING
ALGEBRAIC SIGNAL-PROCESSING
Male
English
Scottish Anglicized form of Gaelic Fionnghall, FINGAL means "white valor."
Surname or Lastname
English (Lancashire)
English (Lancashire) : habitational name from Wignal, a minor place near Holmes in the parish of Croston, so named from the genitive case of the Old English byname Wicga (see Wigley) + Old English h(e)alh ‘nook’, ‘corner’, ‘recess’.
Female
Norse
Variant spelling of Old Norse Signy, SIGNE means "new victory."
Boy/Male
Hindu, Indian
Monk; Signal
Girl/Female
Latin
Sign.
Boy/Male
Tamil
Signal, Goal
Girl/Female
Latin American Swedish
Sign.
Female
English
Variant spelling of English Sienna, SIENA means "reddish-orange."Â
Girl/Female
Australian, Danish, Finnish, German, Latin, Scandinavian, Swedish
Sign; New Victory
Female
Welsh
Pet form of Welsh Siân, SIANA means "God is gracious."
Girl/Female
Danish, German, Latin, Scandinavian, Swedish
Sign; Signal; Victory
Girl/Female
Latin
Sign.
Male
Slovene
Short form of Slovene Ignacij, possibly IGNAC means "unknowing."
Boy/Male
Arabic, Hindu, Indian, Kannada, Muslim
Signal; Guidance; Direction
Female
Hebrew
(סִיגָל) Hebrew name SIGAL means "treasure."
Boy/Male
Hindu
Signal, Goal
Boy/Male
Hindu
Signal, Goal
Boy/Male
Tamil
Signal, Goal
Boy/Male
Arabic
Signal; Hint
Boy/Male
Hindu, Indian, Kannada, Tamil, Telugu
Brilliant; Signal; Symbol
ALGEBRAIC SIGNAL-PROCESSING
ALGEBRAIC SIGNAL-PROCESSING
Boy/Male
Tamil
Stars
Female
Hebrew
(בֵּית-×ֵל) Hebrew name BEYTH-EL means "house of God." In the bible, this is the name of an ancient city of the Canaanites, later of the Benjamites.Â
Boy/Male
American, British, English
From the Red Meadow
Boy/Male
Muslim/Islamic
Keen-eyed
Girl/Female
American, British, English
Island of the Ships; Cenel's Land
Boy/Male
Sikh
One who conquers the truth, Victory of truth
Male
Hungarian
Hungarian form of Latin Dominicus, DOMONKOS means "belongs to the lord."
Boy/Male
Tamil
Of variegated color
Male
Russian
(Иларий): Russian form of Greek Hilarion, ILARIY means "joyful, happy."
Boy/Male
Anglo, Australian, British, English
Falcon Trainer
ALGEBRAIC SIGNAL-PROCESSING
ALGEBRAIC SIGNAL-PROCESSING
ALGEBRAIC SIGNAL-PROCESSING
ALGEBRAIC SIGNAL-PROCESSING
ALGEBRAIC SIGNAL-PROCESSING
n.
A sign made for the purpose of giving notice to a person of some occurence, command, or danger; also, a sign, event, or watchword, which has been agreed upon as the occasion of concerted action.
v. t.
To notify by a signals; to make a signal or signals to; as, to signal a fleet to anchor.
n.
See Jingal.
n.
One versed in algebra.
a.
Alt. of Algebraical
n.
A seal; especially, in England, the seal used by the sovereign in sealing private letters and grants that pass by bill under the sign manual; -- called also privy signet.
n.
A token; an indication; a foreshadowing; a sign.
pl.
of Sigma
a.
Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings.
n.
Either of the two parts of an algebraic equation, connected by the sign of equality.
a.
Suitable to be signed; requiring signature; as, a legal document signable by a particular person.
a.
Noticeable; distinguished from what is ordinary; eminent; remarkable; memorable; as, a signal exploit; a signal service; a signal act of benevolence.
v. i.
To make a sign or signal; to communicate directions or intelligence by signs.
v. t.
To perform by algebra; to reduce to algebraic form.
a.
Of or pertaining to signals, or the use of signals in conveying information; as, a signal flag or officer.
imp. & p. p.
of Sign
adv.
By algebraic process.
adv.
In a signal manner; eminently.
/
or Signalled (imp. & p. p.) of Signal
v. t.
To communicate by signals; as, to signal orders.