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Frequency Analysis Based on Easily Generated Functions

✍ Scribed by Yuchuan Wei

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 52 KB
Volume: 8
Category: Article
ISSN: 1063-5203
DOI: 10.1006/acha.1999.0285

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✦ Synopsis

In addition to the sine-cosine functions, sawtooth waves, square waves, triangular waves, trapezoidal waves, etc. are also easily generated periodic functions for modern electronics. Similar to Fourier analysis, a signal can be considered as a superposition of easily generated functions with different frequencies. In this letter, we discuss the change-of-bases formulas and consider the problem of convergence. Only the L 2 := L 2 [-π, π] setting is presented.

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