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In signal processing, a transform is a mathematical technique to convert data in one domain to another. The most common example is using the Fourier Transform to convert data from the time domain to the frequency domain.

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The closest orthogonal transform I know of that might meet your needs is the Slant Transform. It's based on sawtooth(ish) waves, but some of the basis functions do resemble triangle waves: (source … : Applied Fourier transform) It was developed for image coding/compression, but it seems like a reasonable first approach for the analysis of long-term linear trends/reversals in financial data. It …
answered May 7 '13 by datageist