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65 relations: Adding machine, Amortization, Analog-to-digital converter, Array data structure, Asteroid, Binary number, Bit-reversal permutation, Breadth-first search, Butterfly diagram, C. Sidney Burrus, Cache (computing), Cache-oblivious algorithm, Carl David Tolmé Runge, Carl Friedrich Gauss, Chinese remainder theorem, Chirp Z-transform, Composite number, Computer, Coprime integers, Cornelius Lanczos, CPU cache, Data flow diagram, Depth-first search, Discrete Fourier transform, Divide and conquer algorithm, E (mathematical constant), External memory algorithm, Fast Fourier transform, Floating-point arithmetic, G. C. Danielson, GNU General Public License, Helium-3, I. J. Good, IBM, IBM 7090, In-place algorithm, James Cooley, John Tukey, Lemma (mathematics), Locality of reference, Mathematics of Computation, New Latin, Nuclear weapons testing, Permutation, Pipeline (computing), Power of two, Prime-factor FFT algorithm, Princeton University, Processor register, Pseudocode, ..., Rader's FFT algorithm, Recursion, Richard Garwin, Root of unity, Row- and column-major order, SIMD, Smooth number, Soviet Union, Split-radix FFT algorithm, Stride of an array, Time complexity, Transpose, Twiddle factor, 2 Pallas, 3 Juno. Expand index (15 more) »
Adding machine
An adding machine was a class of mechanical calculator, usually specialized for bookkeeping calculations.
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Amortization
Amortization (or amortisation) is paying off an amount owed over time by making planned, incremental payments of principal and interest.
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Analog-to-digital converter
In electronics, an analog-to-digital converter (ADC, A/D, or A-to-D) is a system that converts an analog signal, such as a sound picked up by a microphone or light entering a digital camera, into a digital signal.
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Array data structure
In computer science, an array data structure, or simply an array, is a data structure consisting of a collection of elements (values or variables), each identified by at least one array index or key.
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Asteroid
Asteroids are minor planets, especially those of the inner Solar System.
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Binary number
In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one).
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Bit-reversal permutation
In applied mathematics, a bit-reversal permutation is a permutation of a sequence of n items, where n.
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Breadth-first search
Breadth-first search (BFS) is an algorithm for traversing or searching tree or graph data structures.
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Butterfly diagram
In the context of fast Fourier transform algorithms, a butterfly is a portion of the computation that combines the results of smaller discrete Fourier transforms (DFTs) into a larger DFT, or vice versa (breaking a larger DFT up into subtransforms).
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C. Sidney Burrus
Charles Sidney Burrus (born October 9, 1934 in Abilene, Texas) is an American electrical engineer and the Maxfield and Oshman Professor Emeritus of Electrical and Computer Engineering at Rice University in Houston, Texas.
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Cache (computing)
In computing, a cache, is a hardware or software component that stores data so future requests for that data can be served faster; the data stored in a cache might be the result of an earlier computation, or the duplicate of data stored elsewhere.
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Cache-oblivious algorithm
In computing, a cache-oblivious algorithm (or cache-transcendent algorithm) is an algorithm designed to take advantage of a CPU cache without having the size of the cache (or the length of the cache lines, etc.) as an explicit parameter.
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Carl David Tolmé Runge
Carl David Tolmé Runge (30 August 1856 – 3 January 1927) was a German mathematician, physicist, and spectroscopist.
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Carl Friedrich Gauss
Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields, including algebra, analysis, astronomy, differential geometry, electrostatics, geodesy, geophysics, magnetic fields, matrix theory, mechanics, number theory, optics and statistics.
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Chinese remainder theorem
The Chinese remainder theorem is a theorem of number theory, which states that if one knows the remainders of the Euclidean division of an integer by several integers, then one can determine uniquely the remainder of the division of by the product of these integers, under the condition that the divisors are pairwise coprime.
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Chirp Z-transform
The Chirp Z-transform (CZT) is a generalization of the discrete Fourier transform.
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Composite number
A composite number is a positive integer that can be formed by multiplying together two smaller positive integers.
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Computer
A computer is a device that can be instructed to carry out sequences of arithmetic or logical operations automatically via computer programming.
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Coprime integers
In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.
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Cornelius Lanczos
Cornelius (Cornel) Lanczos (Lánczos Kornél,, born as Kornél Lőwy, until 1906: Löwy (Lőwy) Kornél) was a Jewish Hungarian mathematician and physicist, who was born on February 2, 1893, and died on June 25, 1974.
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CPU cache
A CPU cache is a hardware cache used by the central processing unit (CPU) of a computer to reduce the average cost (time or energy) to access data from the main memory.
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Data flow diagram
A data flow diagram (DFD) is a graphical representation of the "flow" of data through an information system, modelling its process aspects.
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Depth-first search
Depth-first search (DFS) is an algorithm for traversing or searching tree or graph data structures.
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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.
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Divide and conquer algorithm
In computer science, divide and conquer is an algorithm design paradigm based on multi-branched recursion.
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E (mathematical constant)
The number is a mathematical constant, approximately equal to 2.71828, which appears in many different settings throughout mathematics.
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External memory algorithm
In computing, external memory algorithms or out-of-core algorithms are algorithms that are designed to process data that is too large to fit into a computer's main memory at one time.
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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.
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Floating-point arithmetic
In computing, floating-point arithmetic is arithmetic using formulaic representation of real numbers as an approximation so as to support a trade-off between range and precision.
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G. C. Danielson
Gordon C. (G.C.) Danielson was a Distinguished Professor in Sciences and Humanities in 1964 at Iowa State University at Ames, Iowa.
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GNU General Public License
The GNU General Public License (GNU GPL or GPL) is a widely used free software license, which guarantees end users the freedom to run, study, share and modify the software.
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Helium-3
Helium-3 (He-3, also written as 3He, see also helion) is a light, non-radioactive isotope of helium with two protons and one neutron (common helium having two protons and two neutrons).
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I. J. Good
Irving John ("I. J."; "Jack") Good (9 December 1916 – 5 April 2009) The Times of 16-apr-09, http://www.timesonline.co.uk/tol/comment/obituaries/article6100314.ece was a British mathematician who worked as a cryptologist at Bletchley Park with Alan Turing.
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IBM
The International Business Machines Corporation (IBM) is an American multinational technology company headquartered in Armonk, New York, United States, with operations in over 170 countries.
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IBM 7090
The IBM 7090 is a second-generation transistorized version of the earlier IBM 709 vacuum tube mainframe computers that was designed for "large-scale scientific and technological applications".
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In-place algorithm
In computer science, an in-place algorithm is an algorithm which transforms input using no auxiliary data structure.
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James Cooley
James William Cooley (born 1926, died June 29, 2016) was an American mathematician.
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John Tukey
John Wilder Tukey (June 16, 1915 – July 26, 2000) was an American mathematician best known for development of the FFT algorithm and box plot.
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Lemma (mathematics)
In mathematics, a "helping theorem" or lemma (plural lemmas or lemmata) is a proven proposition which is used as a stepping stone to a larger result rather than as a statement of interest by itself.
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Locality of reference
In computer science, locality of reference, also known as the principle of locality, is a term for the phenomenon in which the same values, or related storage locations, are frequently accessed, depending on the memory access pattern.
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Mathematics of Computation
Mathematics of Computation is a bimonthly mathematics journal focused on computational mathematics.
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New Latin
New Latin (also called Neo-Latin or Modern Latin) was a revival in the use of Latin in original, scholarly, and scientific works between c. 1375 and c. 1900.
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Nuclear weapons testing
Nuclear weapons tests are experiments carried out to determine the effectiveness, yield, and explosive capability of nuclear weapons.
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Permutation
In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.
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Pipeline (computing)
In computing, a pipeline, also known as a data pipeline, is a set of data processing elements connected in series, where the output of one element is the input of the next one.
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Power of two
In mathematics, a power of two is a number of the form where is an integer, i.e. the result of exponentiation with number two as the base and integer as the exponent.
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Prime-factor FFT algorithm
The prime-factor algorithm (PFA), also called the Good–Thomas algorithm (1958/1963), is a fast Fourier transform (FFT) algorithm that re-expresses the discrete Fourier transform (DFT) of a size N.
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Princeton University
Princeton University is a private Ivy League research university in Princeton, New Jersey.
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Processor register
In computer architecture, a processor register is a quickly accessible location available to a computer's central processing unit (CPU).
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Pseudocode
Pseudocode is an informal high-level description of the operating principle of a computer program or other algorithm.
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Rader's FFT algorithm
Rader's algorithm (1968), named for Charles M. Rader of MIT Lincoln Laboratory, is a fast Fourier transform (FFT) algorithm that computes the discrete Fourier transform (DFT) of prime sizes by re-expressing the DFT as a cyclic convolution (the other algorithm for FFTs of prime sizes, Bluestein's algorithm, also works by rewriting the DFT as a convolution).
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Recursion
Recursion occurs when a thing is defined in terms of itself or of its type.
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Richard Garwin
Richard Lawrence Garwin (born April 19, 1928) is an American physicist, widely known to be the author of the first hydrogen bomb design.
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Root of unity
In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that gives 1 when raised to some positive integer power.
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Row- and column-major order
In computing, row-major order and column-major order are methods for storing multidimensional arrays in linear storage such as random access memory.
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SIMD
Single instruction, multiple data (SIMD) is a class of parallel computers in Flynn's taxonomy.
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Smooth number
In number theory, a smooth (or friable) number is an integer which factors completely into small prime numbers.
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Soviet Union
The Soviet Union, officially the Union of Soviet Socialist Republics (USSR) was a socialist state in Eurasia that existed from 1922 to 1991.
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Split-radix FFT algorithm
The split-radix FFT is a fast Fourier transform (FFT) algorithm for computing the discrete Fourier transform (DFT), and was first described in an initially little-appreciated paper by R. Yavne (1968) and subsequently rediscovered simultaneously by various authors in 1984.
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Stride of an array
In computer programming, the stride of an array (also referred to as increment, pitch or step size) is the number of locations in memory between beginnings of successive array elements, measured in bytes or in units of the size of the array's elements.
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Time complexity
In computer science, the time complexity is the computational complexity that describes the amount of time it takes to run an algorithm.
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Transpose
In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal, that is it switches the row and column indices of the matrix by producing another matrix denoted as AT (also written A′, Atr, tA or At).
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Twiddle factor
A twiddle factor, in fast Fourier transform (FFT) algorithms, is any of the trigonometric constant coefficients that are multiplied by the data in the course of the algorithm.
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2 Pallas
Pallas, minor-planet designation 2 Pallas, is the second asteroid to have been discovered (after Ceres), and is one of the largest asteroids in the Solar System.
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3 Juno
Juno, minor-planet designation 3 Juno in the Minor Planet Center catalogue system, is an asteroid in the asteroid belt.
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Cooley Tukey Algorithm, Cooley Tukey algorithm, Cooley-Tukey FFT, Cooley-Tukey FFT algorithm, Cooley–Tukey FFT, Danielson-Lanczos lemma, Danielson–Lanczos lemma.
References
[1] https://en.wikipedia.org/wiki/Cooley–Tukey_FFT_algorithm
