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The Quarterly Journal of Mechanics and Applied Mathematics 1955 8(4):457-467; doi:10.1093/qjmam/8.4.457
© 1955 by Oxford University Press
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TABLES OF BENNETT FUNCTIONS FOR THE TWO-FREQUENCY MODULATION PRODUCT PROBLEM FOR THE HALF-WAVE SQUARE-LAW RECTIFIER

R. L. STERNBERG1, J. S. SHIPMAN1 and H. KAUFMAN2

( 1Laboratory for Electronics, Inc. Boston, Massachusetts, U.S.A
2McGill University Montreal, P.Q., Canada )

The first few Bennett functions of the second kind, i.e. coefficients Formula in the double Fourier series expansion of the output from a half-wave square-law rectifier with a two-frequency input, are tabulated as functions of the input amplitude ratio k. Bennett functions Formula of the {nu}th kind for the two-frequency modulation product problem for the half-wave {nu}th-law rectifier are defined and recurrence formulae among the Formula of given kind and different orders, or among those of different kinds and given orders, are established for use with the tables. Some brief comments are made concerning other forms of the problem and of Bennett functions.


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