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appdx_f_ocr - TABLE OF SAMPLED DESCRIBING FUNCTIONS o,=...

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TABLE OF SAMPLED DESCRIBING FUNCTIONS o, = sampling frequency Note: The relay with or without hysteresis (two-level switch) can be treated simply by the method of Sec. 9.1. This table gives sampled describing functions for the relay with dead zone and the linear, lead pulse-width modulator.
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612 SAMPLED DESCRIBING FUNCTIONS Figure F.1 Sampled describing function for the relay with dead zone nonlinearity (cf. Sec. 9.2). N(A,+) = sampled describing function = amplitude and phase relation between the sinusoid x(t) and the fundamental harmonic component of y*(t) N*(A,+) = z-transform describing function z transform of y*(t) - - z transform of x(t) ,= ,,p (,,,TJ,) This figure, in 7 parts, consists of plots of extreme values of -1/N(A,+) for n = 2,3, . . . ,8. Only the unbiased output modes are included as they are the only modes of interest in the case of an unbiased input x(t) (see Sec. 9.2).
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SAMPLED DESCRIBING F U N C T I O N S 613 Figure F-la T = 2T,
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614 SAMPLED DESCRIBING F U N C T I O N S /- i, degrees Figure F-Ib T = 3 ~ ,
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SAMPLED DESCRIBING F U N C T I O N S 615 / $, degrees Figure F-lc T = 4T,
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616 SAMPLED DESCRIBING F U N C T I O N S /- IN, degrees Figure F-ld T =
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