Estimator of amplitude and frequency of a noisy-biased sinusoid

Details Estimator of amplitude and frequency of a noisy-biased sinusoid Estimator of amplitude and frequency of a noisy-biased sinusoid

1995-03-24

1995-11-28

Voeltz, Emanuel T.

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364729, G06F 1520

Patent

active

054713960

ABSTRACT:
The amplitude or frequency of a sinusoidal signal represented as sample values S.sub.1, S.sub.2, S.sub.3, S.sub.4 is estimated by computing a triplet of differences x.sub.1, x.sub.2, x.sub.3, where x.sub.1 is a difference between S.sub.2 and S.sub.1, x.sub.2 is a difference between S.sub.3 and S.sub.2, and x.sub.3 is a difference between S.sub.4 and S.sub.3. An indication of the estimate of the amplitude or frequency is computed as a ratio of algebraic functions of the differences x.sub.1, x.sub.2, x.sub.3. The amplitude is computed as the square root of a first ratio of algebraic functions, and the frequency is computed as an arc-cosine function of a second ratio of algebraic functions. Preferably the ratio is evaluated by a division operation computed as a polynomial approximation, and the square root function and the arc-cosine function are also computed as a polynomial approximation. Preferably ratios computed from a plurality of triplets are averaged together to give more accurate estimates. Preferably any ratio having a denominator value that has a magnitude less than a threshold value is excluded from the average of the ratios, so that the average will not be corrupted by any inaccurate result that could be obtained when dividing by a relatively small number. The method can be used for compensating a parasitic capacitance, or for monitoring the health of a plurality of signals in an electronic circuit.

REFERENCES:
patent: Re32931 (1989-05-01), Staudte
patent: 4534043 (1985-08-01), Krishnan
patent: 4802766 (1989-02-01), Lundeen et al.
patent: 5056366 (1991-10-01), Fersht et al.
patent: 5412472 (1995-05-01), Okada et al.
Chi-Tsong Chen, One-Dimensional Digital Signal Processing, Marcel Dekker, Inc., New York, N.Y. (1979), pp. 206-215.
Rabiner and Gold, Theory and Application of Digital Signal Processing, Prentice-Hall, Inc., Englewood Cliffs, N.J. (1975), pp. 136-140, 194-204.

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