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We show that time-invariant nonhysteretic nonlinear operators K may be decomposed into 'nth-harmonic' components Kn (n=...,-2, -1, 0, 1, 2,...) consisting of frequencies n1 F1+...+n1F1, where F1,..., F1 are frequencies in the input signal and n1+...+n1=n. This is applied to the design of r.f. and a.f. audio signal processors.