The Quarterly Journal of Mechanics and Applied Mathematics · 1955 · 10 citations · 0 references
EngineeringElectrical EngineeringMathematicsCircuit TheoryMicrowave EngineeringTheoretical PhysicsFourier AnalysisFourier Series MethodsFrequency Modulation SystemsFrequency ResponseModulationRecurrence RelationsFourier Series AnalysisFrequency ModulationFrequency Response FunctionsHalf-wave RectificationHalf-wave Rectifiers
The first few Bennett functions of the second kind, i.e. coefficients Amn(2)(k) 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 Amn(ν)(k) of the νth kind for the two-frequency modulation product problem for the half-wave νth-law rectifier are defined and recurrence formulae among the Amn(ν)(k) 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.