Fast Fourier transform and Toeplitz matrix

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Fast Fourier transform and Toeplitz matrix

Fast Fourier transform vs. Toeplitz matrix

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. In linear algebra, a Toeplitz matrix or diagonal-constant matrix, named after Otto Toeplitz, is a matrix in which each descending diagonal from left to right is constant.

Similarities between Fast Fourier transform and Toeplitz matrix

Fast Fourier transform and Toeplitz matrix have 9 things in common (in Unionpedia): Big O notation, Birkhäuser, Cambridge University Press, Circulant matrix, Convolution, IEEE Transactions on Signal Processing, Matrix (mathematics), Numerical stability, Society for Industrial and Applied Mathematics.

Big O notation

Big O notation is a mathematical notation that describes the limiting behaviour of a function when the argument tends towards a particular value or infinity.

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Birkhäuser

Birkhäuser is a former Swiss publisher founded in 1879 by Emil Birkhäuser.

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Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

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Circulant matrix

In linear algebra, a circulant matrix is a special kind of Toeplitz matrix where each row vector is rotated one element to the right relative to the preceding row vector.

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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.

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IEEE Transactions on Signal Processing

The IEEE Transactions on Signal Processing is a biweekly peer-reviewed scientific journal published by the Institute of Electrical and Electronic Engineers covering research on signal processing.

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Matrix (mathematics)

In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

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Numerical stability

In the mathematical subfield of numerical analysis, numerical stability is a generally desirable property of numerical algorithms.

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Society for Industrial and Applied Mathematics

The Society for Industrial and Applied Mathematics (SIAM) is an academic association dedicated to the use of mathematics in industry.

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The list above answers the following questions

What Fast Fourier transform and Toeplitz matrix have in common
What are the similarities between Fast Fourier transform and Toeplitz matrix

Fast Fourier transform and Toeplitz matrix Comparison

Fast Fourier transform has 154 relations, while Toeplitz matrix has 45. As they have in common 9, the Jaccard index is 4.52% = 9 / (154 + 45).

References

This article shows the relationship between Fast Fourier transform and Toeplitz matrix. To access each article from which the information was extracted, please visit:

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