Selected Papers, Books and Patents

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Selected Papers

ORCID 0000-0003-4430-8704

James K. Beard, "Multiple Target Tracking, Tracking and Data Fusion with a Requirements Perspective," Presented for the Philadelphia chapter of the IEEE on November 16, 2021. Slides HERE, Appendix HERE , Addendum with better treatment of estimation of covariance matrices HERE or from the Philadelphia IEEE.

James K. Beard, "Singular Value Decomposition of a Matrix Representation of the Costas Condition for Costas Array Selection," in IEEE Transactions on Aerospace and Electronic Systems, vol. 57, no. 2, pp. 1139-1161, April 2021, DOI: 10.1109/TAES.2020.3040057. Preprint HERE. The database below is a compantion to this paper.

James K Beard, "Selection of Costas Arrays to Minimize Cross-Interference: An Elementary Example," IEEE Philadelphia Section Night Webinar, August 19, 2020. Link to slides.

James Beard, "Database of Singular Value Decompositions of Matrix Representations of the Costas Condition", IEEE Dataport, 2020. [Online]. Available: Accessed: May. 16, 2020.

B. Correll, J. K. Beard and C. N. Swanson, "Costas Array Waveforms for Closely Spaced Target Detection," in IEEE Transactions on Aerospace and Electronic Systems, vol. 56, no. 2, pp. 1045-1076, April 2020. DOI: 10.1109/TAES.2019.2925486

James K Beard, Costas Arrays: What, Why, How and When, presentation at Philadelphia IEEE Section Night, January 15 2019; link: slides.

Bill Correll, Jr., and James K Beard, Selecting appropriate Costas arrays for target detection, 2017 IEEE Radar Conference (RadarConf 2017), May 12, 2017 (Seattle), Proceedings pp. 1261-1266. DOI: 10.1109/RADAR.2017.7944390.

James K Beard, Costas arrays and enumeration to order 1030, IEEE DataPort, 2017. [Online, downloadable, free]. DOI: 10.21227/H21P42.

Beard, J.K., Characterization of Rotating and Spinning Bodies with Quaternions, Presented at the Philadelphia Section IEEE meeting, February 21, 2017. Link: slides (2.4 MB PDF file). Other files related to this presentation are on this web site here.

Beard, J.K., Planar Array Design and Performance, June 26, 2014. Presented at a meeting of the Philadelphia IEEE Signal Processing Chapter, co-sponsored by the Aerospace and Electronic Systems Chapter. Link: slides (20 MB ZIP file). This paper is the original release of a high performance Bayliss weighting with a three-parameter design, as opposed to the classical two-parameter Taylor and Bayliss weighting.

A binary to generate Taylor and Bayliss weightings, and the source code for a Fortran 2003 module that contains procedures to compute Taylor and Bayliss weightings for your program are both available for download here.

Jon C. Russo, Keith G. Erickson, and James K Beard, Costas array search technique that maximizes backtrack and symmetry exploitation, CISS 2010, March 17, 2010, pp 1 - 8, Princeton University, Session WA-04, Paper 6; links: paperslidesaddendum slides. DOI: 10.1109/CISS.2010.5464772

Konstantinos Drakakis, Scott Rickard, James K Beard, Rodrigo Caballero, Francesco Iorio, Gareth O'Brien and John Walsh, Results of the enumeration of Costas arrays of order 27, IEEE Transactions on Information Theory, 54, 10 (October 2008). [The Drakakis group at University College, Dublin, Ireland, announces completion of an exhaustive search over order 27 in this paper. They made their announcement to the community by email on May 23, 2008 but did not notice the only new Costas array of that order in a log file dated March 9; the group of Beard, Russo, Erickson, Monteleone and Wright announced this new Costas array a few days after the Konstantinos group made their announcement; their log file indicates that this array appeared in their logs on April 7 in a processor node provided by Keith Erickson. The Beard team announced the discovery of this Costas array by email on May 29, 2008.] DOI: 10.1109/TIT.2008.928979

Beard, J. K., Costas array generator polynomials in finite fields, CISS 2008, March 21 2008, pp 1246 - 1251, Princeton University, Session TP 03, Paper 5; links: paper; slides, CISS even years at Princeton, CISS odd years at JHU. Database of Costas arrays from orders 2 to 200 on a CD-ROM given out at CISS 2006 was extended to order 400; later extended to order 1030 and uploaded to IEEE DataPort; see Files page. DOI: 10.1109/CISS.2008.4558709

Beard, J. K., Problems and Solutions in Efficient, Accurate Computation of the Airy Functions in the Complex Plane, Joint Mathematics Meetings, (MAA and AMS, click here for home page), meeting 1035 Session O1 Paper 1238, January 8, 2008. Click here for slides (no text paper).

Beard, J. K., Russo, J. C., Erickson, K., Monteleone, M., and Wright, M., Costas Array Generation and Search Methodology, IEEE Transactions on Aerospace and Electronic Systems, 43, 2 (April 2007), 522-538. Click here for PDF of scanned paper. Click here for pre-publication draft from original. DOI: 10.1109/TAES.2007.4285351

Beard, J. K., Generating Costas Arrays to Order 200, presented at Conference on Information Sciences and Systems (CISS) 2006, March 23, 2006, pp 1130 - 1133. Click here for CD-ROM image with a database of 663,702 Costas arrays of orders 2 through 200. Please email me to request a CD-ROM by mail. See IEEE DataPort page for extension of database to order 1030 and updates to more recent data extraction utilitys, including windowed user interfaces. This IEEE DataPort page, 10.21227/H21P42, allows downloading Costas arrays to order 100 and multiples to 900, 950, 1000, and 1030. DOI: 10.1109/CISS.2006.286635

Maritime Situational Awareness, tutorial given at IEEE/ISIF FUSION2005, July 2005, Philadelphia. Also a bonus topic, Interactive Multiple Models (IMM) in trackers. Links: Tutorial, IMM.

Beard, J. K., Russo, J., Wright, M., and Monteleone, M., Combinatoric collaboration on Costas arrays and radar applications, Proceedings of the IEEE Radar Conference, 2004, pp 260 - 265. DOI: 10.1109/NRC.2004.1316432

Beard, J. K., and Pilieh Chen, Bistatic GMTI Experiment for Airborne Platforms, IEEE International Radar Conference RADAR 2000, Alexandria, VA, May 8, 2000, pp 42 - 46. Click here for paper. DOI: 10.1109/RADAR.2000.851802

Beard, J. K., Configuration Trades for a Space Object Surveillance Fence, 18th Space Control Conference, MIT/LL, April 12, 2000. Links: Abstract, Slides.

Beard, J. K., Designing FIR filters in a New Vector Space, 1988 IEEE ICASSP, Transactions pp 1459 -1462. Click here for paper. DOI: 10.1109/ICASSP.1988.196876

Beard, J. K., An Efficient, Reliable Approach for Hydroacoustical Bearings Only Target Motion Analysis, Proceedings of the IEEE Conference on Decision and Control, 14 December 1984, PP 1251-1256. Click here for paper. Click here for the figures. DOI: 10.1109/CDC.1984.272220

Beard, J. K., Optimization of Discrete Signal Processors using Array Processor and CCD Technology, IEEE ICASSP, April 1979, pp 857-858. DOI 10.1109/ICASSP.1979.1170608.

Beard, J. K,. An in-place self recordering FFT, IEEE ICASSP, April 10-12, 1978, pp 632 - 633, DOI: 10.1109/ICASSP.1978.1170578

Beard, J. K., On the Ambiguity Function of a Two Frequency Synthetic Aperture Sonar, ongoing work session of the IEEE ICASSP, April 12, 1978 (impromptu "Ongoing Work" session; not in Proceedings – ask Author for synopsis).

Beard, J. K., Fast Envelope Algorithms Using Linear Combinations of Quadrature Samples, ARL-TM-72-3 (AD 737337), 24 January 1972. Full text available online from DTIC:

Beard, J. K. Broadband Quadrature Sampling, ARL-TM-71-45 (AD 739343), 7 January 1972. Abstract available from DTIC:


“Digital Radio Frequency Tag,” Patent 6,870,501 awarded March 22, 2005, assigned to Raytheon Company.

Beard, J. K., An ECCM Subsystem for Pulse Doppler Radar (U), Northrop Grumman Baltimore Advanced Techniques Technical Memo ATTM 5, 1962 (Earned a patent award for subsystem concept).


The FFT in the 21st Century, Springer, October 2003, ISBN 1-4020-7675-4; ISBN-13 978-1-4020-7675-6, DOI: 10.1007/978-1-4757-6734-6. Click here for errata. A June 2013 e-mail from Springer gives an eBook ISBN-13 as 978-1-4419-5410-7.

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