Reduced phase-shift nonlinear filters

Details Reduced phase-shift nonlinear filters Reduced phase-shift nonlinear filters

1996-06-26

1997-12-02

Callahan, Timothy P.

Miscellaneous active electrical nonlinear devices, circuits, and

Specific identifiable device, circuit, or system

Unwanted signal suppression

327556, 327557, 327558, 327559, 330306, H03K 500

Patent

active

056940777

ABSTRACT:
A reduced phase-shift nonlinear filter includes linear filter logic 10 responsive to a filter input signal x and having a linear transfer function G(s), which provides a linear filtered signal g, zero-cross sample-and-hold logic 16 responsive to the filter input signal x and the linear filtered signal g, which provides a square wave signal n which crosses zero at the same time and in the same direction as the filter input signal x and has an amplitude proportional to the value of the linear filtered signal g at that time, complementary filter logic 20 responsive to said square wave signal n and having a complementary transfer function (1-G(s)) which provides a complementary filtered signal c, and a summer 30 which adds the complementary filtered signal and the linear filtered signal to provide a filter output signal y which exhibits less phase shift over certain frequency bands than that of the linear transfer function. If the linear transfer function has numerator and denominator polynomials of the same order, the complementary transfer function (1-G(s)) 20 may be a reduced-order transfer function.

REFERENCES:
patent: 5440270 (1995-08-01), Sevastopoulos et al.
Arthur Gelb et al, "Multiple-Input Describing Functions and Nonlinear System Design," McGraw-Hill Book Company, 1968, pp. 79-81.
Isaac Horowitz et al., "Non-linear design for cost of feedback reduction in systems with large parameter uncertainty." Int. J. Control, 1975, vol. 21, No. 6, pp. 977-1001.

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