appdx_f_ocr

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 ,= ,,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 (see Sec. 9.2).
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SAMPLED DESCRIBING FUNCTIONS 613 Figure F-la T = 2T,
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614 SAMPLED DESCRIBING FUNCTIONS /- i, degrees Figure F-Ib T = 3~,
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SAMPLED DESCRIBING FUNCTIONS 615 / $, degrees Figure F-lc T = 4T,
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616 SAMPLED DESCRIBING FUNCTIONS /- IN, degrees Figure F-ld T = 5Ts
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SAMPLED DESCRIBING FUNCTIONS 617 / $, degrees Figure F-le T = 6T,
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618 SAMPLED DESCRIBING FUNCTIONS - 4 -- ill /- i, degrees Figure F-If T = 7T,
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SAMPLED DESCRIBING FUNCTIONS 619 A+, degrees Figure F-lg T =
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This note was uploaded on 02/03/2012 for the course AERO 16.30 taught by Professor Ericferon during the Spring '04 term at MIT.

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

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