Frequency analysis based on easily generated functions

In addition to the sine-cosine functions, sawtooth waves, square waves, tri angular waves, trapezoidal waves, etc. are also easily generated periodic f unctions for modern electronics. Similar to Fourier analysis, a signal can be considered as a superposition of easily generated functions with differe nt frequencies. In this letter, we discuss the change-of-bases formulas and consider the problem of convergence. Only the L-2 := L-2[-pi, pi] setting is presented. (C) 2000 Academic Press.