Intermodulation products for -law biased wave rectifier for multiply frequency input

Author:
E. Feuerstein

Journal:
Quart. Appl. Math. **15** (1957), 183-192

MSC:
Primary 78.0X

DOI:
https://doi.org/10.1090/qam/92558

MathSciNet review:
92558

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Abstract: The intermodulation products obtained by passing the sum of sinusoids of amplitudes through a power rectifier of characteristic

**[1]**W. R. Bennett,*New results in the calculation of modulation products*, Bell System Tech. J.**12**, 228-243 (1933)**[2]**W. R. Bennett,*The biased ideal rectifier*, Bell System Tech. J.**26**, 139-169 (1947)**[3]**S. O. Rice,*Mathematical analysis of random noise*, Bell System Tech. J.**24**(1945), 46–156. MR**0011918**, https://doi.org/10.1002/j.1538-7305.1945.tb00453.x**[4]**H. Kaufman,*Harmonic Distortion in Power-Law Devices*, Math. Mag.**28**(1955), no. 5, 245–250. MR**1570742****[5]**R. L. Sternberg and H. Kaufman,*A general solution of the two-frequency modulation product problem. I*, J. Math. Physics**32**(1954), 233–242. MR**0061479****[6]**Robert L. Sternberg,*A general solution of the two-frequency modulation product problem. II. Tables of the functions 𝐴_{𝑚𝑛}(ℎ,𝑘)*, J. Math. Physics**33**(1954), 68–79. MR**0061480****[7]**Robert L. Sternberg,*A general solution of the two-frequency modulation product problem. III. Rectifiers and limiters*, J. Math. and Phys.**33**(1954), 199–205. MR**0070453****[8]**R. L. Sternberg, J. S. Shipman, and H. Kaufman,*Tables of Bennett functions for the two-frequency modulation product problem for the half-wave square-law rectifier*, Quart. J. Mech. Appl. Math.**8**(1955), 457–467. MR**0074946**, https://doi.org/10.1093/qjmam/8.4.457**[9]**R. L. Sternberg, J. S. Shipman, and W. B. Thurston,*Tables of Bennett functions for the two-frequency modulation product problem for the half-wave linear rectifier*, Quart. J. Mech. Appl. Math.**7**(1954), 505–511. MR**0067571**, https://doi.org/10.1093/qjmam/7.4.505**[10]**J. S. Shipman,*On Middleton’s paper “Some general results in the theory of noise through non-linear devices”*, Quart. Appl. Math.**13**(1955), 200–201. MR**0068773**, https://doi.org/10.1090/S0033-569X-1955-68773-3**[11]**G. N. Watson,*Theory of Bessel functions*, The University Press, 1948**[12]**W. Groebner and N. Hofreiter,*Integraltafel, Part II*, Springer Verlag, 1950**[13]**E. J. Jahnke, and F. Emde,*Tables of functions*, Chap. VIII, Sec. 2, Dover Publications, 1946

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Additional Information

DOI:
https://doi.org/10.1090/qam/92558

Article copyright:
© Copyright 1957
American Mathematical Society