Electricity: measuring and testing – Measuring – testing – or sensing electricity – per se – Analysis of complex waves
Patent
1983-07-29
1986-07-08
Eisenzopf, Reinhard J.
Electricity: measuring and testing
Measuring, testing, or sensing electricity, per se
Analysis of complex waves
324 77E, 324 78F, 328 14, 328105, G01R 23165
Patent
active
045995672
ABSTRACT:
An apparatus and method for generating a representation of an arbitrary signal wherein the signal is represented as a sum of reference signals derived from a standard wavelet defined on a grid in the frequency-time plane. The apparatus comprises a plurality of octave circuits, each octave circuit, in turn, comprising a plurality of band circuits that divide a frequency range covering the spectrum of the signal into equal intervals of logarithm of frequency. Each band circuit comprises a bandpass filter to select a frequency component of the signal and a correlator to correlate the signal component with a reference signal derived from a standard wavelet to produce a series of correlation values representing the signal for recordation in response to clock pulses received by the octave circuits. The octave circuits are clocked at rates which increase by a factor of two with increasing octave of frequency with which the octave circuits are associated so that correlation time intervals decreasing by a factor of two for successively higher frequency octaves are defined for all frequency bands within each octave and one correlation value is associated with each octave and one correlation value is associated with each frequency band and with each correlation time interval to effect the representation.
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patent: 3611411 (1971-10-01), Moshier et al.
patent: 3714566 (1973-01-01), Kang
Gabor, Lectures on Communication Theory, Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts, Apr. 3, 1952.
Morlet, Sampling Theory and Wave Propagation, Proceedings of the Oct. 1981 Annual Meeting of the Society of Exploration Geophysicists, Mar. 1982.
Morlet et al., Wave Propagation and Sampling Theory--Part I: Complex Signal and Scattering in Multilayered Media, 47 Geophysics 203-221, Feb. 1982.
Morlet et al., Wave Propagation and Sampling Theory--Part II: Sampling Theory and Complex Waves, 47 Geophysics 222-236, Feb. 1982.
Morlet, Sampling Theory and Wave Propagation, NATO ASI Series, vol. F1, Springer-Verlag Berlin Heidelberg 1983, pp. 223-261.
Goupillaud Pierre L.
Grossmann Alexandre
Morlet Jean P.
Eisenzopf Reinhard J.
Enelf Inc.
O'Shea Kevin D.
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