Boots – shoes – and leggings
Patent
1987-04-28
1990-01-16
Smith, Jerry
Boots, shoes, and leggings
G06G 719
Patent
active
048947954
ABSTRACT:
An apparatus and method of improving the resolution of a linear FM signal s(t)=a(t)cos .phi.(t) where .phi.(t)=2.pi.(s.sub.o t+.alpha.t.sup.2) is provided by a modified computation of the Wigner-Ville Distribution. An analytical signal ##EQU1## is translated or calculated from the received linear FM signal r(t) so that a Wigner-Ville Kernel sequence ##EQU2## is formulated. An analysis of the frequency of the kernel sequence follows in accordance with a high resolution estimation technique that may include a kind of a least squares approximation fit or an eigenvector spectral estimator such as MUSIC OR ESPRIT to provide an improved time/frequency representation having a resolution of about an order of magnitude better as compared to a conventional discrete Fourier transform frequency analyze of the kernel sequence.
REFERENCES:
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R. Schmidt, "Multiple Source DF Signal Processing:An Experimental System", IEEE Trans. on Antennas & Propagation, vol. Ap-34, No. 3, Mar. 1986, pp. 281-290.
B. Boya Chache, "Wigner Analysis of Time-Varying Signals", Signal Processing II: Theory & Applications (1983), pp. 705-706.
D. Gabor, "Theory of Communication", Journal IEE ?) 93(111), pp. 429-57 (1946).
L. Cohen, "Generalized Phase-Space Distribution Functions", Journal of Mathematical Physics, vol. 7, May 1966, pp. 751-86.
B. Boushash & H. Whitehouse, "Seasmic Applications of the Wigner-Ville Distribution", 8/86, pp. 34-37, IEEE.
B. Boushash, P. Black & H. Whitehouse, "An Efficient Implementation for Real Time Applications of the Wigner-Ville Distribution", Real-Time Signal Processing, Optical Information Processing Calf.
Boashash Boualem
Whitehouse Harper J.
Fendelman Harvey
Keough Thomas G.
Meyer Charles B.
Smith Jerry
The United States of America as represented by the Secretary of
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