Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed
Reexamination Certificate
2008-05-20
2008-05-20
Do, Chat C. (Department: 2193)
Electrical computers: arithmetic processing and calculating
Electrical digital calculating computer
Particular function performed
Reexamination Certificate
active
07376688
ABSTRACT:
A method for designing Wavelets for communications and radar which combines requirements for Wavelets and finite impulse response FIR filters including no excess bandwidth, linear performance metrics for passband, stopband, quadrature mirror filter QMF properties, intersymbol interference, and adjacent channel interference, polystatic filter design requirements, and non-linear metrics for bandwidth efficient modulation BEM and synthetic aperture radar SAR. Demonstrated linear design methodology finds the best design coordinates to minimize the weighted sum of the contributing least-squares LS error metrics for the respective performance requirements. Design coordinates are mapped into the optimum FIR symbol time response. Harmonic design coordinates provide multi-resolution properties and enable a single design to generate Wavelets for arbitrary parameters which include dilation, down-sampling, up-sampling, time translation, frequency translation, sample rate, symbol rate, symbol length, and set of design harmonics. Non-linear applications introduce additional constraints. Performance examples are linear communications, BEM, and SAR.
REFERENCES:
patent: 5453945 (1995-09-01), Tucker et al.
patent: 5526446 (1996-06-01), Adelson et al.
patent: 5845243 (1998-12-01), Smart et al.
patent: 5937009 (1999-08-01), Wong et al.
patent: 5953388 (1999-09-01), Walnut et al.
patent: 6064768 (2000-05-01), Hajj et al.
patent: 6091777 (2000-07-01), Guetz et al.
patent: 6182035 (2001-01-01), Mekuria et al.
patent: 6477553 (2002-11-01), Druck
patent: 6553396 (2003-04-01), Fukuhara et al.
patent: 6584111 (2003-06-01), Aweya et al.
patent: 6643406 (2003-11-01), Hajjahmad et al.
patent: 6687422 (2004-02-01), Chen et al.
Harold, Progressive Wavelet Correlation Using Fourier Methods, Jan. 1999, IEEE Transactions on Signal Processing, vol. 47, No. 1, pp. 97-107.
Haitao et al., Wavelet Transform based Fast Approximate Fourier Transform, 1997, IEEE, pp. 1973-1976.
Artyom, 2-D and 1-D Multipaired Transforms: Frequency-Time Type Wavelets, Feb. 2001, IEEE Transactions on Signal PRocessing, vol. 49, No. 2, pp. 344-353.
Haitao Guo et al., “Wavelet Transform base Fast Approximate Fourier Transforms”, 1997 ICASSP IEEE Int Conf Acoust Speech Signal Process Proc, pp. 1973-1976.
H. S. Stone, “Progressive Wavelet Correlation Using Fourier Analysis”, Jan. 1999 IEEE Transactions on Signal Processing, vol. 47, No. 1, pp. 97-107.
A. M. Grigoryan; “2-D and 1-D Multipaired Transforms: Frequency-Time Type Wavelets”, Feb. 2001 IEEE Transactions on Signal Processing , vol. 49, No. 2, pp. 344-353.
McClellan et al.,“A Computer Program for Designing Optimal FIR Linear Filters”, IEEE Trans. Audio Electroacoust. vol. AU-21, Dec. 1973, pp. 506-526.
Vaidyanathan et al., “Eigenvalues: A New Approach to Least-Squares FIR Filter Design and Applications Including Nyquist Filters”, IEEE Trans. on Circuits and Systems, vol. CA S-34, No. 1, Jan. 1987, pp. 11-23.
T. Blu, “A New Design Algorithm for two-band orthogonal rational filter banks and orthonormal rational Wavelets”, IEEE Signal Processing, Jun. 1998, pp. 1494-1504.
K. C. Ho et al., “Optimum Discrete Wavelet Scaling and it's Application to Delay and Doppler Estimation”, IEEE Signal Processing, Sep. 1998, pp. 2285-2290.
Do Chat C.
von der Embse Urbain A.
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