Discrete Fourier transform and Orthonormal basis

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

Difference between Discrete Fourier transform and Orthonormal basis

Discrete Fourier transform vs. Orthonormal basis

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. In mathematics, particularly linear algebra, an orthonormal basis for an inner product space V with finite dimension is a basis for V whose vectors are orthonormal, that is, they are all unit vectors and orthogonal to each other.

Similarities between Discrete Fourier transform and Orthonormal basis

Discrete Fourier transform and Orthonormal basis have 6 things in common (in Unionpedia): Dimension (vector space), Fourier series, Linear map, Mathematics, Orthogonality, Orthonormality.

Dimension (vector space)

In mathematics, the dimension of a vector space V is the cardinality (i.e. the number of vectors) of a basis of V over its base field.

Dimension (vector space) and Discrete Fourier transform · Dimension (vector space) and Orthonormal basis · See more »

Fourier series

In mathematics, a Fourier series is a way to represent a function as the sum of simple sine waves.

Discrete Fourier transform and Fourier series · Fourier series and Orthonormal basis · See more »

Linear map

In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.

Discrete Fourier transform and Linear map · Linear map and Orthonormal basis · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Discrete Fourier transform and Mathematics · Mathematics and Orthonormal basis · See more »

Orthogonality

In mathematics, orthogonality is the generalization of the notion of perpendicularity to the linear algebra of bilinear forms.

Discrete Fourier transform and Orthogonality · Orthogonality and Orthonormal basis · See more »

Orthonormality

In linear algebra, two vectors in an inner product space are orthonormal if they are orthogonal and unit vectors.

Discrete Fourier transform and Orthonormality · Orthonormal basis and Orthonormality · See more »

The list above answers the following questions

What Discrete Fourier transform and Orthonormal basis have in common
What are the similarities between Discrete Fourier transform and Orthonormal basis

Discrete Fourier transform and Orthonormal basis Comparison

Discrete Fourier transform has 151 relations, while Orthonormal basis has 51. As they have in common 6, the Jaccard index is 2.97% = 6 / (151 + 51).

References

This article shows the relationship between Discrete Fourier transform and Orthonormal basis. To access each article from which the information was extracted, please visit:

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