Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Download
Faster access than browser!
 

Multidimensional filter design and implementation

+ Save concept

Many concepts in one–dimensional signal processing are similar to concepts in multidimensional signal processing. [1]

47 relations: Algorithm, Bounded set, Cepstrum, Chebyshev polynomials, Communication, Complex analysis, Complexity, Convolution, CT scan, Data compression, Dependent and independent variables, Design, Digital image processing, Dimension, Dirac delta function, Discrete cosine transform, Discrete Fourier transform, Discrete Hartley transform, Discrete time and continuous time, Fast Fourier transform, Filter (signal processing), Finite impulse response, Frequency, Function application, Impulse response, Infinite impulse response, Inverse transform sampling, Linear difference equation, Noise, Operation (mathematics), Parseval's theorem, Radar, Seismic tomography, Sequence, Signal processing, Signaling (telecommunications), Sonar, Spectral density estimation, Spectrum, Standard array, Thomas F. Quatieri, Transfer function, Value (mathematics), Variable (mathematics), Vector (mathematics and physics), Video processing, Z-transform.

Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

New!!: Multidimensional filter design and implementation and Algorithm · See more »

Bounded set

In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense, of finite size.

New!!: Multidimensional filter design and implementation and Bounded set · See more »

Cepstrum

A cepstrum is the result of taking the inverse Fourier transform (IFT) of the logarithm of the estimated spectrum of a signal.

New!!: Multidimensional filter design and implementation and Cepstrum · See more »

Chebyshev polynomials

In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev, are a sequence of orthogonal polynomials which are related to de Moivre's formula and which can be defined recursively.

New!!: Multidimensional filter design and implementation and Chebyshev polynomials · See more »

Communication

Communication (from Latin commūnicāre, meaning "to share") is the act of conveying intended meanings from one entity or group to another through the use of mutually understood signs and semiotic rules.

New!!: Multidimensional filter design and implementation and Communication · See more »

Complex analysis

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.

New!!: Multidimensional filter design and implementation and Complex analysis · See more »

Complexity

Complexity characterises the behaviour of a system or model whose components interact in multiple ways and follow local rules, meaning there is no reasonable higher instruction to define the various possible interactions.

New!!: Multidimensional filter design and implementation and Complexity · See more »

Convolution

In mathematics (and, in particular, functional analysis) convolution is a mathematical operation on two functions (f and g) to produce a third function, that is typically viewed as a modified version of one of the original functions, giving the integral of the pointwise multiplication of the two functions as a function of the amount that one of the original functions is translated.

New!!: Multidimensional filter design and implementation and Convolution · See more »

CT scan

A CT scan, also known as computed tomography scan, makes use of computer-processed combinations of many X-ray measurements taken from different angles to produce cross-sectional (tomographic) images (virtual "slices") of specific areas of a scanned object, allowing the user to see inside the object without cutting.

New!!: Multidimensional filter design and implementation and CT scan · See more »

Data compression

In signal processing, data compression, source coding, or bit-rate reduction involves encoding information using fewer bits than the original representation.

New!!: Multidimensional filter design and implementation and Data compression · See more »

Dependent and independent variables

In mathematical modeling, statistical modeling and experimental sciences, the values of dependent variables depend on the values of independent variables.

New!!: Multidimensional filter design and implementation and Dependent and independent variables · See more »

Design

Design is the creation of a plan or convention for the construction of an object, system or measurable human interaction (as in architectural blueprints, engineering drawings, business processes, circuit diagrams, and sewing patterns).

New!!: Multidimensional filter design and implementation and Design · See more »

Digital image processing

In computer science, Digital image processing is the use of computer algorithms to perform image processing on digital images.

New!!: Multidimensional filter design and implementation and Digital image processing · See more »

Dimension

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.

New!!: Multidimensional filter design and implementation and Dimension · See more »

Dirac delta function

In mathematics, the Dirac delta function (function) is a generalized function or distribution introduced by the physicist Paul Dirac.

New!!: Multidimensional filter design and implementation and Dirac delta function · See more »

Discrete cosine transform

A discrete cosine transform (DCT) expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies.

New!!: Multidimensional filter design and implementation and Discrete cosine transform · See more »

Discrete Fourier transform

In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex-valued function of frequency.

New!!: Multidimensional filter design and implementation and Discrete Fourier transform · See more »

Discrete Hartley transform

A discrete Hartley transform (DHT) is a Fourier-related transform of discrete, periodic data similar to the discrete Fourier transform (DFT), with analogous applications in signal processing and related fields.

New!!: Multidimensional filter design and implementation and Discrete Hartley transform · See more »

Discrete time and continuous time

In mathematics and in particular mathematical dynamics, discrete time and continuous time are two alternative frameworks within which to model variables that evolve over time.

New!!: Multidimensional filter design and implementation and Discrete time and continuous time · See more »

Fast Fourier transform

A fast Fourier transform (FFT) is an algorithm that samples a signal over a period of time (or space) and divides it into its frequency components.

New!!: Multidimensional filter design and implementation and Fast Fourier transform · See more »

Filter (signal processing)

In signal processing, a filter is a device or process that removes some unwanted components or features from a signal.

New!!: Multidimensional filter design and implementation and Filter (signal processing) · See more »

Finite impulse response

In signal processing, a finite impulse response (FIR) filter is a filter whose impulse response (or response to any finite length input) is of finite duration, because it settles to zero in finite time.

New!!: Multidimensional filter design and implementation and Finite impulse response · See more »

Frequency

Frequency is the number of occurrences of a repeating event per unit of time.

New!!: Multidimensional filter design and implementation and Frequency · See more »

Function application

In mathematics, function application is the act of applying a function to an argument from its domain so as to obtain the corresponding value from its range.

New!!: Multidimensional filter design and implementation and Function application · See more »

Impulse response

In signal processing, the impulse response, or impulse response function (IRF), of a dynamic system is its output when presented with a brief input signal, called an impulse.

New!!: Multidimensional filter design and implementation and Impulse response · See more »

Infinite impulse response

Infinite impulse response (IIR) is a property applying to many linear time-invariant systems.

New!!: Multidimensional filter design and implementation and Infinite impulse response · See more »

Inverse transform sampling

Inverse transform sampling (also known as inversion sampling, the inverse probability integral transform, the inverse transformation method, Smirnov transform, golden ruleAalto University, N. Hyvönen, Computational methods in inverse problems. Twelfth lecture https://noppa.tkk.fi/noppa/kurssi/mat-1.3626/luennot/Mat-1_3626_lecture12.pdf) is a basic method for pseudo-random number sampling, i.e. for generating sample numbers at random from any probability distribution given its cumulative distribution function.

New!!: Multidimensional filter design and implementation and Inverse transform sampling · See more »

Linear difference equation

In mathematics and in particular dynamical systems, a linear difference equation or linear recurrence relation equates 0 to a polynomial that is linear in the various iterates of a variable—that is, in the values of the elements of a sequence.

New!!: Multidimensional filter design and implementation and Linear difference equation · See more »

Noise

Noise is unwanted sound judged to be unpleasant, loud or disruptive to hearing.

New!!: Multidimensional filter design and implementation and Noise · See more »

Operation (mathematics)

In mathematics, an operation is a calculation from zero or more input values (called operands) to an output value.

New!!: Multidimensional filter design and implementation and Operation (mathematics) · See more »

Parseval's theorem

In mathematics, Parseval's theorem usually refers to the result that the Fourier transform is unitary; loosely, that the sum (or integral) of the square of a function is equal to the sum (or integral) of the square of its transform.

New!!: Multidimensional filter design and implementation and Parseval's theorem · See more »

Radar

Radar is an object-detection system that uses radio waves to determine the range, angle, or velocity of objects.

New!!: Multidimensional filter design and implementation and Radar · See more »

Seismic tomography

Seismic tomography is a technique for imaging the subsurface of the Earth with seismic waves produced by earthquakes or explosions.

New!!: Multidimensional filter design and implementation and Seismic tomography · See more »

Sequence

In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed.

New!!: Multidimensional filter design and implementation and Sequence · See more »

Signal processing

Signal processing concerns the analysis, synthesis, and modification of signals, which are broadly defined as functions conveying "information about the behavior or attributes of some phenomenon", such as sound, images, and biological measurements.

New!!: Multidimensional filter design and implementation and Signal processing · See more »

Signaling (telecommunications)

In telecommunication, signaling has the following meanings.

New!!: Multidimensional filter design and implementation and Signaling (telecommunications) · See more »

Sonar

Sonar (originally an acronym for SOund Navigation And Ranging) is a technique that uses sound propagation (usually underwater, as in submarine navigation) to navigate, communicate with or detect objects on or under the surface of the water, such as other vessels.

New!!: Multidimensional filter design and implementation and Sonar · See more »

Spectral density estimation

In statistical signal processing, the goal of spectral density estimation (SDE) is to estimate the spectral density (also known as the power spectral density) of a random signal from a sequence of time samples of the signal.

New!!: Multidimensional filter design and implementation and Spectral density estimation · See more »

Spectrum

A spectrum (plural spectra or spectrums) is a condition that is not limited to a specific set of values but can vary, without steps, across a continuum.

New!!: Multidimensional filter design and implementation and Spectrum · See more »

Standard array

In coding theory, a standard array (or Slepian array) is a q^ by q^ array that lists all elements of a particular \mathbb_q^n vector space.

New!!: Multidimensional filter design and implementation and Standard array · See more »

Thomas F. Quatieri

Thomas Francis Quatieri, Jr. is an American electrical engineer and Senior Technical Staff member at the MIT Lincoln Laboratory.

New!!: Multidimensional filter design and implementation and Thomas F. Quatieri · See more »

Transfer function

In engineering, a transfer function (also known as system function or network function) of an electronic or control system component is a mathematical function giving the corresponding output value for each possible value of the input to the device.

New!!: Multidimensional filter design and implementation and Transfer function · See more »

Value (mathematics)

In mathematics, value may refer to several, strongly related notions.

New!!: Multidimensional filter design and implementation and Value (mathematics) · See more »

Variable (mathematics)

In elementary mathematics, a variable is a symbol, commonly an alphabetic character, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown.

New!!: Multidimensional filter design and implementation and Variable (mathematics) · See more »

Vector (mathematics and physics)

When used without any further description, vector usually refers either to.

New!!: Multidimensional filter design and implementation and Vector (mathematics and physics) · See more »

Video processing

In electronics engineering, video processing is a particular case of signal processing, which often employs video filters and where the input and output signals are video files or video streams.

New!!: Multidimensional filter design and implementation and Video processing · See more »

Z-transform

In mathematics and signal processing, the Z-transform converts a discrete-time signal, which is a sequence of real or complex numbers, into a complex frequency domain representation.

New!!: Multidimensional filter design and implementation and Z-transform · See more »

Redirects here:

2d fir and iir filter, Multidimensional Filter Design, Multidimensional filter design, Multidimensional filter design and Implementation.

References

[1] https://en.wikipedia.org/wiki/Multidimensional_filter_design_and_implementation

OutgoingIncoming
Hey! We are on Facebook now! »