Abstract
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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