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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
Similar to one-dimensional digital signal processing, in case of the multidimensional signal processing there are efficient algorithms. The efficiency
Fast Algorithms for Multidimensional Signals
Fast_Algorithms_for_Multidimensional_Signals
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
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
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
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
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
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
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
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
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
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
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
applications in various fields such as spectral estimation of multidimensional signals, design of circularly symmetric and quadrantally symmetric non-recursive
Two-dimensional_window_design
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
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
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
In digital signal processing, multidimensional sampling is the process of converting a function of a multidimensional variable into a discrete collection
Multidimensional_sampling
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
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)
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
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
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
Two-Dimensional Signal and Image Processing, Prentice-Hall International, 1990. Dan E. Dudgeon, Russell M. Mersereau, “Multidimensional Digital Signal Processing”,
Two-dimensional_filter
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
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
Multidimensional modulation (MD modulation) is modifying or multiplying an MD signal (typically sinusoidal and referred to as the carrier signal) with
Multidimensional_modulation
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
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
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
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
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
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
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
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)
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
The conventional method to evaluate the resolution of a tomography reconstruction is determined by the Crowther criterion. The minimum number of views
Crowther_criterion
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
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
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
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
(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 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
no analog counterparts. Multidimensional digital signal processing deals with processing signals represented as multidimensional arrays such as 2-D sequences
Hexagonal_sampling
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
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
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
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
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
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
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
Discrete Fourier transform algorithm
next decade, made FFT one of the indispensable algorithms in digital signal processing. Let x 0 , … , x n − 1 {\displaystyle x_{0},\ldots ,x_{n-1}} be complex
Fast_Fourier_transform
Process of determining what a company will receive in exchange for its products
company exploiting their increased need for services on holidays. Multidimensional pricing is the pricing of a product or service using multiple numbers
Pricing
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
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
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
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
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
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
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 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
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
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
Type of unpleasant bodily feeling
working memory, mental flexibility, problem-solving and information processing speed, and are more likely to experience irritability, depression, and
Pain
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
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
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
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
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
American electrical engineer
broadly on circuits and signal processing. His contributions micro- and nanoelectronics include theoretical analysis of multidimensional circuits and systems
Sankar_Basu
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
Fourier analysis technique applied to sequences
digital signal processing. Englewood Cliffs, NJ: Prentice-Hall, Inc. p. 59 (2.163). ISBN 978-0-13-914101-0. Porat, Boaz (1996). A Course in Digital Signal Processing
Discrete-time Fourier transform
Discrete-time_Fourier_transform
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
Interpretation of sensory information
receipt of these signals, but it is also shaped by the recipient's learning, memory, expectation, and attention. Sensory input is a process that transforms
Perception
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
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
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
conversion between progressive video signals require usage of multidimensional multirate systems. In multidimensional multirate systems, the basic building
Multidimensional Multirate Systems
Multidimensional_Multirate_Systems
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
Signal Processing, Prentice-Hall, First Edition, pp. 307 - 309, 1983. D. Dudgeon and R. Mersereau, Multidimensional Digital Signal Processing, Prentice-Hall
Discrete-time_beamforming
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
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
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
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
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
pyramid (LP) decomposition only produce one bandpass image in a multidimensional signal processing, that can avoid frequency scrambling. And directional filter
Contourlet
System of linked seismometers
obtained using special digital signal processing techniques such as beamforming, which suppress noises and thus enhance the signal-to-noise ratio (SNR). The
Seismic_array
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
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
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
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
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
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
Serbian-American scientist (born 1968)
research interests are artificial intelligence, data science, and signal processing. She is known for innovative applications of machine learning to diverse
Aleksandra_Mojsilovic
Branch of machine learning
"Offline Handwriting Recognition with Multidimensional Recurrent Neural Networks". Advances in Neural Information Processing Systems. 21. Hinton, Geoffrey E
Deep_learning
Mathematical function
sampled multidimensional processes by generalized prolate spheroidal sequences". IEEE Transactions on Acoustics, Speech, and Signal Processing. 36 (12):
Slepian_function
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
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
Programming paradigm in which many processes are executed simultaneously
multiple processing elements simultaneously to solve a problem. This is accomplished by breaking the problem into independent parts so that each processing element
Parallel_computing
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