Complex half-band finite impulse response filter and method...

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

Reexamination Certificate

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Reexamination Certificate

active

07873686

ABSTRACT:
An electrical signal filter for processing a discrete-time real signal having a length N. In one embodiment, the filter comprising a delay line having N taps and a corresponding respective N filter coefficients. Values for the filter coefficients are determined by first shifting an impulse function of length N by a fraction of N so as to obtain a shifted impulse function. An analytic-signal-generating method is then applied to the impulse function so as to output the filter coefficient values. The values are then assigned to the N taps to complete the filter.

REFERENCES:
patent: 5404322 (1995-04-01), Gehring
patent: 6208687 (2001-03-01), Clemow
patent: 6400782 (2002-06-01), Tal et al.
patent: 7447259 (2008-11-01), Betz et al.
B. Boashash, “Estimating and Interpreting the Instantaneous Frequency of a Signal-Part 1: Fundamentals,” Proceedings of the IEEE, vol. 80, No. 40, pp. 520-539 (Apr. 1992).
B. Boashash, “Estimating and Interpreting the Instantaneous Frequency of a Signal-Part 2: Algorithms and Applications,” Proceedings of the IEEE, vol. 80, No. 4, pp. 540-568 (Apr. 1992).
T. Blow and G. Sommer, “Hypercomplex Signals—A Novel Extension of the Analytic Signal to the Multidimensional Case,” IEEE Trans. Signal Processing, vol. 49, No. 11, pp. 2844-2852 (Nov. 2001).
Paper by M. Feldman, S. Seibold, “Damage Diagnosis of Rotors: Application of Hilbert-Transform and Multi-Hypothesis Testing;” also appears in Journal of Vibration and Control, 1999, 5, p. 421-445.
Felix C.A. Fernandes, “Directional, Shift-Insensitive, Complex Wavelet Transforms with Controllable Redundancy,” PhD. Thesis, Rice University, Jan. 2002.
Paper by Felix C.A. Fernandes, Ivan W. Selesnick, Rutger L. van Spaendonck, C. Sidney Burrus, “Complex Wavelet Transforms with Allpass Filters;” also appears in Signal Processing, pp. 1689-1706, vol. 83, No. 8 (Aug. 2003) (Signal Processing version not available).
S. L. Hahn, “Hilbert Transforms in Signal Processing,” Artech House, Norwood, MA, pp. 5-9, 143-147 (Dec. 1996).
R.A. Hawley, Lin Thu-ji, H. Samueli, “A 300 MHz Digital Double-Sideband to Single-Sideband Converter 1 um CMOS,” Solid-State Circuits, IEEE, pp. 4-10, vol. 30, Issue 1 (Jan. 1995).
Paper by N. Kingsbury, “Image Processing with Complex Wavelets;” also appears in Phil. Trans. R. Soc. Lond., Sep. 1999 (published version not available—1997 submission copy substituted).
P. Kovesi, “Invariant Measure of Image Features From Phase Information,” Ph.D Thesis, University of Western Australia, May 1996.
W.M. Lawton, “Analytic Signals and Radar Processing,” Proceedings of SPIE, vol. 3723, pp. 215-222, Wavelet Applications VI. (Harold H. Szu, Ed.) (Mar. 1999).
Paper by M. Lebold, K. McClintic, R. Campbell, C. Byington, and K. Maynard, “Review of Vibration Analysis Methods for Gearbox Diagnostics and Prognostics;” also appears in Proceedings of the 54th Meeting of the Society for Machinery Failure Prevention Technology, Virginia Beach, VA, May 1-4, 2000, pp. 623-634.
S. L. Marple, Jr., “Computing the Discrete-Time Analytic Signal via the FFT,” IEEE Trans. Signal Processing, vol. 47, No. 9, pp. 2600-2603, Sep. 1999.
Paper by G. Mirchandani, J. Ge, and R. Foote, “On Discrete Multiresolution Analytic Signals;” also appears in ISSPA 2003, Paris, France.
S. K. Mitra, “Digital Signal Processing: A Computer Based Approach,” McGraw-Hill, 2001, pp. 456-460; 794-801.
M. C. Morrone and R. Owens, “Feature Detection From Local Energy,” Pattern Recognition Letters, vol. 6, pp. 303-313; 1987.
S. C. Olhede and A. T. Walden,“‘Analytic’ Wavelet Thresholding,” Biometrika (2004) 91, 4, pp. 955-973.
A. Oppenheim, R. Schafer, “Discrete-Time Signal Processing,” Prentice Hall, 1989, pp. 676-686.
A. Reilly, G. Frazer and B. Boashash, “Analytic Signal Generation—Tips and Traps,” IEEE Trans. Signal Processing, vol. 42, No. 11, pp. 3241-3245, Nov. 1994.
M. Schwartz, “Information Transmission, Modulation, and Noise,” 4th Ed. McGraw-Hill, Inc. 1990, pp. 247-253.
I. Selesnick “Hilbert Transform Pairs of Wavelet Bases,” IEEE Signal Processing Letters, 8, (6) Jun. 2001; pp. 170-173.
E. P. Simoncelli, W. T. Freeman, E. H. Adelson, and D. J. Heeger, “Shiftable Multi-Scale Transforms,” IEEE Trans. Inform. Theory, 38 (2) pp. 587-607, Mar. 1992 (publication version not available—substitute provided).
N. Kingsbury, “Shift Invariant Properties of the Dual-Tree Complex Wavelet Transform,” in Proc. IEEE Int. Conf. Accoust., Speech, Signal Process, vol. 3, Mar. 1519, 1999, pp. 1221-1224.
S. Mallat, “A Wavelet Tour of Signal Processing,” 2nd Ed. Academic Press, London, UK, pp. 38-38 (Sep. 1999).
G. Strang, T. Nguyen, “Wavelets and Filter Banks,” Wellesley-Cambridge Press, Wellesley, MA, pp. 144-173 (1996).
First Office Action dated Mar. 6, 2009, regarding related U.S. Appl. No. 11/191,734.

LandOfFree

Say what you really think

Search LandOfFree.com for the USA inventors and patents. Rate them and share your experience with other people.

Rating

Complex half-band finite impulse response filter and method... does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Complex half-band finite impulse response filter and method..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complex half-band finite impulse response filter and method... will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFUS-PAI-O-2623282

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.