Intermodulation products for $\nu$-law biased wave rectifier for multiply frequency input

The intermodulation products obtained by passing the sum of $N + 1$ sinusoids of amplitudes ${P_1}, \cdot \cdot \cdot {P_N}$ through a power rectifier of characteristic \[ I = \left \{ {\begin {array}{*{20}{l}}0\\{\alpha {{\left ( {V - B} \right )}^v}} \qquad \end {array}\begin {array}{*{20}{l}} {V < B}\\ {V > B \qquad v > 0} \end {array}} \right .\] have been expressed by S. O. Rice and W. R. Bennett in terms of contour integrals involving products of Bessel functions. In this paper these integrals are rewritten as improper integrals on the real line plus constant terms. These integrals converge fast enough in many cases to be useful in numerical integration.