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Tutorial: Transforms, orthogonality, eigenvectors, and eigenvalues

. First Break 31 (1): 51--61 (January 2013)


Seismic signal processing often involves the use of various data transforms. The concept of a transform is reviewed along with the notion of orthogonality, which is one of the main properties that make many transforms useful in segregating different parts of the input signal from each other. In addition, digital sampling of underlying continuous functions induces artefacts in the transforms, which are related to the sampling process itself. The nature and origin of these artefacts are described.

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