Data compression using Chebyshev transform

Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed

Reexamination Certificate

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C708S400000

Reexamination Certificate

active

10633447

ABSTRACT:
The present invention is a method, system, and computer program product for implementation of a capable, general purpose compression algorithm that can be engaged “on the fly”. This invention has particular practical application with time-series data, and more particularly, time-series data obtained form a spacecraft, or similar situations where cost, size and/or power limitations are prevalent, although it is not limited to such applications. It is also particularly applicable to the compression of serial data streams and works in one, two, or three dimensions. The original input data is approximated by Chebyshev polynomials, achieving very high compression ratios on serial data streams with minimal loss of scientific information.

REFERENCES:
patent: 4658367 (1987-04-01), Potter
patent: 6051027 (2000-04-01), Kapur et al.
Corr et al., “Discrete Chebyshev Transform A Matural Modification of the DCT”, 2000 IEEE, pp. 1142-1145.
Anand R. Prasad; Audio Coding using Parametric Piecewise Modeling; IEEE ICPWC '99; 1999; pp. 414-418; IEEE, New York, New York.
Y. S. Zhu, S. W. Leung, Systolic Array Implementations for Chebyshev Nonuniform Sampling; IEEE; 1992; pp. IV-177 to IV-180; IEEE, New York, New York.
Gerard Leng; Compression of aircraft aerodynamic database using multivariable Chebyshev polynomials; Advances in Engineering Software 28 (1997); pp. 133-141; Elsevier Science Ltd.. Great Britain.

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