unitary transform

A unitary transform is a linear transformation that can be represented by a unitary matrix. Informally, a unitary transform changes the representation of a vector into a new basis while preserving the length of the vector. The geometric interpretation of this is a rotation. In signal processing, examples include the discrete Fourier transform and the discrete cosine transform. In this context, the property of length invariance is an expression of Parseval's theorem.

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