James S. Walker   Publications

Papers 

Music: Broken Symmetry, Geometry, and Complexity. Notices of the
American Mathematical Society
(2010), Vol. 57, No. 1, 30-49. PDF


with R. C. Guido and P. S. Addison, Time-Frequency Analysis of Biosignals,
IEEE Engineering in Medicine and Biology Magazine
(2009), Vol. 28, No. 5,
14-29.


Time-frequency Analysis of Musical Rhythm. Notices of the American
Mathematical Society
(2009), Vol. 56, No. 3, 356-372. PDF

Denoising Gabor Transforms. Preprint. PDF

Applications of the Analysis of Infinity. Preprint. PDF

with Ying-Jui Chen and Tarek M. Elgindi, Comparison of JPEG2000 and
WDR Methods.
Preprint. PDF

Wavelet-based Image Processing. Applicable Analysis, Vol. 85 (2006), 439-458.  PDF

Time-Frequency Spectra of Music. Advances in Analysis: Proceedings of
4th International ISAAC Congress.
World Scientific (2005), 487-493. PDF

with Truong Q. Nguyen and Ying-Jui Chen, A Low-power, Low-memory System
for Waelet-based Image Compression. OpticalEngineering, Research Signposts.
PDF

An Elementary Resolution of the Liar Paradox. The College Mathematics
Journal,
Vol. 35, pp. 105-111. PDF

with Susan E. Kelly, Efficient Signal Transmission and Wavelet-based Compression. The UMAP Journal.  PDF

Tree-Adapted Wavelet Shrinkage. Advances in Imaging and Electron Physics, pp. 343-394, Elsevier Science (USA), 2002.  PDF

Combined Image Compressor and Denoiser based on Tree-adapted
Wavelet Shrinkage.
Optical Eng., Vol. 41, No. 7, pp. 1520-27, 2002. PDF

with Jeremy F. Alm, Time-Frequency Analysis of Musical Instruments. SIAM Review, Vol. 44, No. 3, pp. 457-476, 2002. PDF

with Truong Q. Nguyen, Wavelet - based image compression, Handbook of Transforms and Data Compression, Chap. 6, pp. 267 - 312, CRC Press, Boca Raton, 2000. PDF

Fourier series, Ency. of Physical Science and Technology, Academic Press, 2001. PDF

A lossy image codec based on adaptively scanned wavelet difference reduction. Optical Eng, Vol. 39, No. 7, pp. 1891 - 1897, July 2000.  PDF

with Truong Q. Nguyen, Adaptive scanning methods for wavelet difference reduction in lossy image compression. IEEE Int'l conf. on Image Proc. 2000, Vol. 3, Sept. 2000.  PDF

with Ying-Jui Chen, Image denoising using tree-based wavelet subband correlations and shrinkage. Optical Engineering, Vol. 39, No. 11, pp. 2900-2908, Nov. 2000.  PDF

Fourier analysis and wavelet analysis. Notices of the AMS, vol. 44, No. 6, pp. 658-670, 1997. PDF

Computer modeling of wave phenomenon. Proc. of 1996 Conference at UW - La Crosse on Math. Modeling in the Undergrad. Curriculum.

A new bit reversal algorithm. IEEE Transactions on Acoustics, Speech, and Signal Processing, Vol. 38, No. 8, Aug. 1990.

A new proof of a theorem of Lelong. Complex Variables, Vol. 11, 1989.

Books

Mathematics and Music: Composition, Perception, and Performance. co-author: Gary W. Don.  CRC Press, Boca Raton, 2013.

A Primer on Wavelets and their Scientific Applications, Second Edition, CRC Press, Boca Raton, 2008.

A Primer on Wavelets and their Scientific Applications, First Edition. CRC Press, Boca Raton, 1999.

Fast Fourier Transforms, Second Edition. CRC Press, Boca Raton, 1996.

Fast Fourier Transforms, First Edition. CRC Press, Boca Raton. 1991.

Fourier Analysis. Oxford University Press, Oxford, 1988.

Software

  • FAWAV - A Fourier / Wavelet Analyzer (freeware). This program
    does Fourier and wavelet analysis on digital signals (1D and 2D).
    It requires the Microsoft WINDOWS operating system.

    Fawav (Ver 1.1, 5/25/00) - main installation program.
    After downloading, unzip all files and run setup.exe.

    Update (5/26/01) - last update of Fawav 1.1 (no further
    updates will be made). After downloading, unzip all files and

    copy fawav.exe to the \fawav main directory and copy all
    *.hlp files to the \help subdirectory.

    Fawav (Ver 2.0, 9/05/07) - main installation program.
    After downloading, unzip all files and run setup.exe.
    This version of FAWAV is the lastest and standard version
    of FAWAV. It requires different library files than Ver. 1.1,
    and was created with a new compiler.

  • ImComp - An image compression program. (This program
    requires that you first install
    FAWAV Ver 1.1.)

  • CompDen - A combined image compression/denoising program.
    (This program requires that you first install
    FAWAV Ver 1.1.)