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In signal processing, multidimensional signal processing covers all signal processing done using multidimensional signals and systems. While multidimensional
Multidimensional signal processing
Multidimensional_signal_processing
Mathematical operation in signal processing
In signal processing, multidimensional discrete convolution refers to the mathematical operation between two functions f and g on an n-dimensional lattice
Multidimensional discrete convolution
Multidimensional_discrete_convolution
Similar to 1-D Digital signal processing in case of the Multidimensional signal processing we have Efficient algorithms. The efficiency of an Algorithm
Fast Algorithms for Multidimensional Signals
Fast_Algorithms_for_Multidimensional_Signals
Electrical engineering problem
In multidimensional signal processing, Multidimensional signal restoration refers to the problem of estimating the original input signal from observations
Multidimensional signal restoration
Multidimensional_signal_restoration
for multidimensional signal processing as well. This article introduces a few methods for wavelet synthesis and analysis for multidimensional signals. There
Wavelet for multidimensional signals analysis
Wavelet_for_multidimensional_signals_analysis
Computational technique
Multidimensional digital signal processing (MDSP) refers to the extension of digital signal processing (DSP) techniques to signals that vary in more than
Multidimensional DSP with GPU acceleration
Multidimensional_DSP_with_GPU_acceleration
System in which not only one independent variable exists
(m > 1) polynomials. Multidimensional systems or m-D systems are the necessary mathematical background for modern digital image processing with many applications
Multidimensional_system
Particular case of image processing
In electronics engineering, video processing is a particular case of signal processing, in particular image processing, which often employs video filters
Video_processing
Underwater acoustic signal processing
in the reflected signal can not be used without technical signal processing. To extract the useful information from the mixed signal, some steps are taken
Sonar_signal_processing
Mathematical signal manipulation by computers
Digital signal processing (DSP) is the use of digital processing, such as by computers or more specialized digital signal processors, to perform a wide
Digital_signal_processing
Mathematical analysis of frequency content of signals
mathematical analysis and applications, multidimensional transforms are used to analyze the frequency content of signals in a domain of two or more dimensions
Multidimensional_transform
Martin (1997). "Grobner bases and multidimensional FIR multirate systems". Multidimensional Systems and Signal Processing. 8 (Springer): 11–30. Bibcode:1997MSySP
Multirate filter bank and multidimensional directional filter banks
Multirate_filter_bank_and_multidimensional_directional_filter_banks
In signal processing, nonlinear multidimensional signal processing (NMSP) covers all signal processing using nonlinear multidimensional signals and systems
Non-linear multi-dimensional signal processing
Non-linear_multi-dimensional_signal_processing
Estimate object properties from a finite number of projections
Retrieved 5 November 2013. Dudgeon and Mersereau (1984). Multidimensional digital signal processing. Prentice-Hall. Herman, G. T., Fundamentals of computerized
Tomographic_reconstruction
function of both space and time, multidimensional signal processing techniques may be better suited for processing such data. There are a number of data
Multidimensional seismic data processing
Multidimensional_seismic_data_processing
Measurement of a signal at discrete time intervals
In signal processing, sampling is the reduction of a continuous-time signal to a discrete-time signal. A common example is the conversion of a sound wave
Sampling_(signal_processing)
Area of research in signal processing
Array processing is a wide area of research in the field of signal processing that extends from the simplest form of 1 dimensional line arrays to 2 and
Array_processing
System of hydrophones
detect sound sources, but the real value of the array is that the signal processing technique of beamforming and Fourier analysis can be used not only
Towed_array_sonar
Single-pulse radar system
antenna signals involved in this process. Doppler effect can be used to separate different objects based on speed. Pulse Doppler RADAR signal processing uses
Monopulse_radar
applications in various fields such as spectral estimation of multidimensional signals, design of circularly symmetric and quadrantally symmetric non-recursive
Two-dimensional_window_design
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
formulated for one-dimensional signals, to multidimensional signals or multivariate data, such as wave vectors. Multidimensional spectral estimation has gained
Multidimensional spectral estimation
Multidimensional_spectral_estimation
Two-Dimensional Signal and Image Processing, Prentice-Hall International, 1990. Dan E. Dudgeon, Russell M. Mersereau, “Multidimensional Digital Signal Processing”,
Two-dimensional_filter
Geophysical technique for imaging sub-surface structures
investigation, soil moisture content determination and many others. In industrial process imaging ERT can be used in a similar fashion to medical EIT, to image the
Electrical resistivity tomography
Electrical_resistivity_tomography
Digital processing technique
Parallel multidimensional digital signal processing (mD-DSP) is defined as the application of parallel programming and multiprocessing to digital signal processing
Parallel multidimensional digital signal processing
Parallel_multidimensional_digital_signal_processing
The hexagonal fast Fourier transform (HFFT) is a tool in image and signal processing which uses fast Fourier transform (FFT) routines to compute the discrete
Hexagonal fast Fourier transform
Hexagonal_fast_Fourier_transform
Multidimensional modulation (MD modulation) is modifying or multiplying an MD signal (typically sinusoidal and referred to as the carrier signal) with
Multidimensional_modulation
Indirectly forming images from measurements using algorithms
several older traditions, including tomographic reconstruction, radar signal processing, inverse problems in geophysics, coded apertures for high-energy radiation
Computational_imaging
Signal processing system
adaptive spatial signal processing with an array of transmitters or receivers. The signals are combined in a manner which increases the signal strength to/from
Adaptive_beamformer
similar to the Z-transform, is used in multidimensional signal processing to relate a two-dimensional discrete-time signal to the complex frequency domain in
2D_Z-transform
on Signal Processing, vol. 43, no. 5, pp. 1269–1273, May 1995. G. Uytterhoeven and A. Bultheel, "The Red-Black Wavelet Transform," in IEEE Signal Processing
Non-separable_wavelet
Signal processing algorithm
In signal processing, multidimensional empirical mode decomposition (multidimensional EMD) is an extension of the one-dimensional (1-D) EMD algorithm to
Multidimensional empirical mode decomposition
Multidimensional_empirical_mode_decomposition
Application of radar which is used to create two-dimensional images
Introduction to Synthetic Aperture Radar (SAR). Advanced Radar Signal and Data Processing. pp. 3–1–3–14. Aftanas, Michal; J. Sachs; M. Drutarovsky; D. Kocur
Imaging_radar
American engineer and academic
Wideband Signals" (winner of the 1988 Paper Award from IEEE Signal Processing Society in the Multidimensional Signal Processing category), and "Signal Reconstruction
Hamid_Nawab
In digital signal processing, multidimensional sampling is the process of converting a function of a multidimensional variable into a discrete collection
Multidimensional_sampling
Parameter-free superresolution algorithm
(DOA) estimation and tomographic reconstruction with applications in signal processing, medical imaging and remote sensing. The name was coined in 2013 to
SAMV_(algorithm)
Algorithmic processing of digitally-represented images
image processing is the use of a digital computer to process digital images through an algorithm. As a subcategory or field of digital signal processing, digital
Digital_image_processing
Tomography technique
and uses a transmission electron microscope to collect the data. In the process, a beam of electrons is passed through the sample at incremental degrees
Electron_tomography
(head-related transfer function). After identifying the direction, other signal processing techniques are used to measure the impulse response over lengths of
3D_sound_reconstruction
Medical imaging procedure
contrast-enhanced images as well. To better visualize the anatomy, post-processing of the images is common. Most common are multiplanar reconstructions (MPR)
CT_scan
Separation of a set of source signals from a set of mixed signals
source signals or the mixing process. It is most commonly applied in digital signal processing and involves the analysis of mixtures of signals; the objective
Signal_separation
The conventional method to evaluate the resolution of a tomography reconstruction is determined by the Crowther criterion. The minimum number of views
Crowther_criterion
Algorithmic imaging methods that reconstruct quantitative phase and amplitude
with application to optical imaging: a contemporary overview". IEEE Signal Processing Magazine. 32 (3): 87–109. Bibcode:2015ISPM...32...87S. doi:10.1109/MSP
Computational_microscopy
sources originating in different locations in a process called binaural hearing. The powerful signal processing methods found in the neural systems and brains
Perceptual-based 3D sound localization
Perceptual-based_3D_sound_localization
Medical imaging technique of the heart
J. A. Jensen, Estimation of Blood Velocities Using Ultrasound, A Signal Processing Approach, New York: Cambridge University Press, 1996. P. S. a. L.
Doppler_echocardiography
Numeric parameter used to assess for cardiac shunt defects
The Relative Atrial Index (RAI) is a numeric parameter used to assess for cardiac shunt defects. It is calculated from the standard transthoracic Doppler
Relative_Atrial_Index
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
Technique used in signal processing and data compression
Nasir Ahmed in 1972, is a widely used transformation technique in signal processing and data compression. It is used in most digital media, including
Discrete_cosine_transform
American electrical engineer and professor
expert in multidimensional signals and systems theory. He investigated high-resolution reconstructions of blurred and noisy images, and processing of noisy
Nirmal_Bose
Interpretation of sensory information
01.001. Fiori F, David N, Aglioti SM (2014). "Processing of proprioceptive and vestibular body signals and self-transcendence in Ashtanga yoga practitioners"
Perception
American electrical engineer
broadly on circuits and signal processing. His contributions micro- and nanoelectronics include theoretical analysis of multidimensional circuits and systems
Sankar_Basu
Use of a GPU for computations typically assigned to CPUs
system (CDSS) Computer vision Digital signal processing / signal processing Multidimensional digital signal processing Control engineering[citation needed]
General-purpose computing on graphics processing units
General-purpose_computing_on_graphics_processing_units
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
Serbian engineer
research interests are artificial intelligence, data science, and signal processing. She is known for innovative applications of machine learning to diverse
Aleksandra_Mojsilovic
Signal processing technique used in radar
Space-time adaptive processing (STAP) is a signal processing technique most commonly used in radar systems. It involves adaptive array processing algorithms to
Space-time adaptive processing
Space-time_adaptive_processing
Wireless signal analysis technique
effect, engineers use channel sounding to process the multidimensional spatial–temporal signal and estimate channel characteristics. This helps simulate
Channel_sounding
The dose-fractionation theorem for tomographic imaging is a statement that says the total dose required to achieve statistical significance for each voxel
Dose-fractionation_theorem
Discrete Fourier transform algorithm
diagram – a diagram used to describe FFTs Fast Algorithms for Multidimensional Signals Fast Fourier Transform Telescope Fast Walsh–Hadamard transform
Fast_Fourier_transform
Numerical manipulation of Doppler parameters obtain during routine Echocardiography has been extensively utilized to non-invasively estimate intra-cardiac
Numerical modeling in echocardiography
Numerical_modeling_in_echocardiography
no analog counterparts. Multidimensional digital signal processing deals with processing signals represented as multidimensional arrays such as 2-D sequences
Hexagonal_sampling
Type of unpleasant bodily feeling
(45–74mm) and severe pain (75–100mm).[check quotation syntax] The Multidimensional Pain Inventory (MPI) is a questionnaire designed to assess the psychosocial
Pain
Indian-American electrical engineer
February 2014. "Information Processing and Algorithms Laboratory - Faculty". "Image, Video, and Multidimensional Signal Processing". 2 March 2016. "IEEE Journal
Vishal_Monga
Metaxas, and R. Whitaker, "Engineering and algorithm design for an image processing api: a technical report on itk - the insight toolkit", pp. 586–592, 2002
YaDICs
The problem of reconstructing a multidimensional signal from its projection is uniquely multidimensional, having no 1-D counterpart. It has applications
Reconstruction from projections
Reconstruction_from_projections
Form of radar used to create images of landscapes
(1992). Synthetic Aperture Radar: Systems and Signal Processing. Remote Sensing and Image Processing. Wiley. ISBN 978-0-471-85770-9. Gart, Jason H (2006)
Synthetic-aperture_radar
Mathematical function
sampled multidimensional processes by generalized prolate spheroidal sequences". IEEE Transactions on Acoustics, Speech, and Signal Processing. 36 (12):
Slepian_function
theorem Chebyshev filter, a family of analog filters in electronics and signal processing Chebyshev function in number theory Chebyshev integral Chebyshev iteration
List of things named after Pafnuty Chebyshev
List_of_things_named_after_Pafnuty_Chebyshev
Open-source Python library for scientific computing
integration, interpolation, special functions, fast Fourier transform, signal and image processing, ordinary differential equation solvers and other tasks common
SciPy
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
American electrical engineer and entrepreneur
receive this level of promotion. She chaired the IEEE Image and Multidimensional Signal Processing Technical Committee in 2006 and 2007, and was editor-in-chief
Sheila_Hemami
Function for integral Fourier-like transform
Wavelets are imbued with specific properties that make them useful for signal processing. For example, a wavelet could be created to have a frequency of middle C
Wavelet
Signal processing design process
Filter design is the process of designing a signal processing filter that satisfies a set of requirements, some of which may be conflicting. The purpose
Filter_design
Algorithm to smooth data points
increase the precision of the data without distorting the signal tendency. This is achieved, in a process known as convolution, by fitting successive sub-sets
Savitzky–Golay_filter
Lebanese-American engineer
She is an IEEE Fellow. Her areas of work span digital signal processing, image/video processing, compression/coding and transmission, computer vision
Lina_Jamil_Karam
Branch of machine learning
"Offline Handwriting Recognition with Multidimensional Recurrent Neural Networks". Advances in Neural Information Processing Systems. 21. Hinton, Geoffrey E
Deep_learning
Iranian-American electrical engineer
contributions to image and video compression". Her research involves signal processing, video processing including video coding, decoding, and streaming, computer
Avideh_Zakhor
Signal processing technique
In statistical signal processing, the goal of spectral density estimation (SDE) or simply spectral estimation is to estimate the spectral density (also
Spectral_density_estimation
implementations for signal processing 2003 Thomas Marzetta For contributions to the theory of multidimensional signal processing and multiple-antenna
List of fellows of IEEE Communications Society
List_of_fellows_of_IEEE_Communications_Society
Mathematical transform on discrete signals
transforms. Classical signal processing deals with one-dimensional discrete transforms. Other application areas, such as image processing, computer vision
Discrete_transform
Systematic collection of geophysical data for spatial studies
studies. Detection and analysis of the geophysical signals forms the core of Geophysical signal processing. The magnetic and gravitational fields emanating
Geophysical_survey
Generalization of basis splines (B-splines) to multiple variables
used to compute the volume of polytopes. In the context of multidimensional signal processing, box splines can provide multivariate interpolation kernels
Box_spline
Discrete fourier transform expressed as a matrix
Fourier transform (DFT) as a transformation matrix, which can be applied to a signal through matrix multiplication. An N-point DFT is expressed as the multiplication
DFT_matrix
Methods of estimating differential entropy given some observations
algorithms for mutual information based independent component analysis. In Signal Processing. Volume 52, Issue 10, 2690–2700, doi:10.1109/TSP.2004.834398 Chang
Entropy_estimation
Signal processing sample technique
In signal processing, undersampling or bandpass sampling is a technique where one samples a bandpass-filtered signal at a sample rate below its Nyquist
Undersampling
Concept in applied mathematics
generalization of the shifted DFT. It has important applications in signal processing, magnetic resonance imaging, and the numerical solution of partial
Non-uniform discrete Fourier transform
Non-uniform_discrete_Fourier_transform
1999, he was awarded the IEEE Signal Processing Society Best Paper Award (Image and Multidimensional Signal Processing Area) for a paper he co-authored
Ingemar_Cox
Fourier analysis technique applied to sequences
digital signal processing. Englewood Cliffs, NJ: Prentice-Hall, Inc. p. 59 (2.163). ISBN 978-0139141010. Porat, Boaz (1996). A Course in Digital Signal Processing
Discrete-time Fourier transform
Discrete-time_Fourier_transform
Transform in numerical harmonic analysis
Practical applications can also be found in signal processing of accelerations for gait analysis, image processing, in digital communications and many others
Discrete_wavelet_transform
Least variables needed to represent data
i0D, i1D or i2D, respectively. In signal processing of multidimensional signals, the intrinsic dimension of the signal describes how many variables are
Intrinsic_dimension
conversion between progressive video signals require usage of multidimensional multirate systems. In multidimensional multirate systems, the basic building
Multidimensional Multirate Systems
Multidimensional_Multirate_Systems
2x2 matrix with 1 and -1 coefficients
; Unser, M. (2005), "On the multidimensional extension of the quincunx subsampling matrix" (PDF), IEEE Signal Processing Letters, 12 (2): 112–115, Bibcode:2005ISPL
Quincunx_matrix
Algorithm for inverting a matrix
decomposition Multidimensional signal processing System of linear equations Rybicki, George B.; Press, William H. (1995). "Class of fast methods for processing Irregularly
Rybicki_Press_algorithm
seen by comparing the two graphs below. As defined in Multidimensional Digital Signal Processing. Chapter 1 Section 1.2.9, for 1D discrete time vector
Multidimensional digital pre-distortion
Multidimensional_digital_pre-distortion
Technique in signal processing
image processing, the trade-off is between the reduction of aliasing artefacts and the preservation of sharp edges. Also as with any such processing, there
Lanczos_resampling
Process of reducing the number of random variables under consideration
numbers of observations and/or large numbers of variables, such as signal processing, speech recognition, neuroinformatics, and bioinformatics. Methods
Dimensionality_reduction
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
Process in algebra
(2017-07-01). "Tensor Decomposition for Signal Processing and Machine Learning". IEEE Transactions on Signal Processing. 65 (13): 3551–3582. arXiv:1607.01668
Tensor_decomposition
Multidimensional data algorithm
approximation algorithm which finds the "best matching" projections of multidimensional data onto the span of an over-complete (i.e., redundant) dictionary
Matching_pursuit
Any technique to improve resolution of an imaging system beyond conventional limits
reconstruction in a computational compound-eye imaging system". Multidimensional Systems and Signal Processing. 18 (2–3): 83–101. Bibcode:2007MSySP..18...83C. doi:10
Super-resolution_imaging
Special mathematical function defined as sin(x)/x
a continuous bandlimited signal from uniformly spaced samples of that signal. The sinc filter is used in signal processing. The function itself was first
Sinc_function
MULTIDIMENSIONAL SIGNAL-PROCESSING
MULTIDIMENSIONAL SIGNAL-PROCESSING
Girl/Female
Latin
Sign.
Girl/Female
Latin American Swedish
Sign.
Girl/Female
Australian, Danish, Finnish, German, Latin, Scandinavian, Swedish
Sign; New Victory
Boy/Male
Tamil
Signal, Goal
Female
Norse
Variant spelling of Old Norse Signy, SIGNE means "new victory."
Boy/Male
Arabic, Hindu, Indian, Kannada, Muslim
Signal; Guidance; Direction
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
English
Variant spelling of English Sienna, SIENA means "reddish-orange."Â
Girl/Female
Danish, German, Latin, Scandinavian, Swedish
Sign; Signal; Victory
Female
Welsh
Pet form of Welsh Siân, SIANA means "God is gracious."
Boy/Male
Tamil
Signal, Goal
Boy/Male
Hindu
Signal, Goal
Boy/Male
Hindu, Indian
Monk; Signal
Boy/Male
Hindu
Signal, Goal
Male
Slovene
Short form of Slovene Ignacij, possibly IGNAC means "unknowing."
Girl/Female
Latin
Sign.
Female
Hebrew
(סִיגָל) Hebrew name SIGAL means "treasure."
Boy/Male
Hindu, Indian, Kannada, Tamil, Telugu
Brilliant; Signal; Symbol
Boy/Male
Arabic
Signal; Hint
Male
English
Scottish Anglicized form of Gaelic Fionnghall, FINGAL means "white valor."
MULTIDIMENSIONAL SIGNAL-PROCESSING
MULTIDIMENSIONAL SIGNAL-PROCESSING
Girl/Female
American, British, Christian, Danish, English, French, German, Greek, Irish, Jamaican, Latin
Pearl; Diminutive of Margaret; Child of Light
Boy/Male
Hindu
Name of the Sun
Girl/Female
Hindu, Indian, Kannada, Tamil, Telugu
Joyous
Boy/Male
Hindu
Lord Vishnu
Boy/Male
Muslim
Self respecting
Girl/Female
Tamil
Sweet girl, Variant of donald great chief
Boy/Male
Indian, Punjabi, Sikh
Love for the Helpless
Boy/Male
Arabic
White Sparrow
Boy/Male
Muslim
Boy/Male
British, English
Place Name; The Awesome One's Meadow
MULTIDIMENSIONAL SIGNAL-PROCESSING
MULTIDIMENSIONAL SIGNAL-PROCESSING
MULTIDIMENSIONAL SIGNAL-PROCESSING
MULTIDIMENSIONAL SIGNAL-PROCESSING
MULTIDIMENSIONAL SIGNAL-PROCESSING
adv.
In a signal manner; eminently.
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.
v. t.
To communicate by signals; as, to signal orders.
n.
A signal telegraph; an apparatus for giving signals by the disposition of lanterns, flags, oscillating arms, etc.
n.
See Jingal.
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.
a.
Noticeable; distinguished from what is ordinary; eminent; remarkable; memorable; as, a signal exploit; a signal service; a signal act of benevolence.
a.
Suitable to be signed; requiring signature; as, a legal document signable by a particular person.
imp. & p. p.
of Sign
n.
One who signs or subscribes his name; as, a memorial with a hundred signers.
pl.
of Sigma
a.
Of or pertaining to the reign of a monarch; as, regnal years.
p. pr. & vb. n.
of Signal
a.
Of or pertaining to signals, or the use of signals in conveying information; as, a signal flag or officer.
/
or Signalled (imp. & p. p.) of Signal
n.
A token; an indication; a foreshadowing; a sign.
v. t.
To notify by a signals; to make a signal or signals to; as, to signal a fleet to anchor.
a.
Conclusive; decisive; as, a final judgment; the battle of Waterloo brought the contest to a final issue.
v. i.
To make a sign or signal; to communicate directions or intelligence by signs.