A PDF version of my resume is here.


Education

  • PhD, Appied Mathematics, The University of Alabama System, 1994.  Dissertation: Complexity of Set-Valued Maps.
  • MA, Mathematics, The University of Alabama in Huntsville, 1991.  Thesis: The Saddle-Node Property, with Applications to a System from Population Biology.
  • BA, Mathematics, The University of Alabama in Huntsville, 1988.  Minor: Philosophy

Academic Experience

  • Currently Visiting Asst. Professor of Mathematics, Hampden-Sydney College.  Undergraduate teaching, research, service.
  • Adjunct Professor of Mathematics, Longwood University, August 2004 - May 2006.  Undergraduate teaching, research.
  • Adjunct Professor of Mathematics, University of Alabama in Huntsville, September 2002 - December 2003.  Graduate teaching (Probability, Information Theory), undergraduate teaching.
  • Asst. Professor of Mathematics, Alabama A&M University, August 1996 - May 1997.  Undergraduate teaching, research, service.
  • Asst. Professor of Mathematics, Christian Brothers University, August 1995 - May 1996.  Undergraduate teaching, research, service

Industry Experience

  • Currently I do work as a private consultant, specializing in mathematical modeling, algorithm design, and simulation.
  • President and Chief Scientist, Convergent Corporation, June 2003 - January 2005. Founded Convergent Corp., a technical research, services, and consulting firm. Expertise in mathematical modeling and simulation development for communications and radar technology, including impulse-based systems, multiband orthogonal frequency division multiplexing radio, detectability analysis, algorithm development (e.g. leading edge detection, positioning solvers, radar discrimination), system design, and system analysis.
  • Systems Scientist, Time Domain Corporation, December 1999 – September 2003.  Research, algorithm design, and analysis in ultrawideband radio technology for communications and radar.  Designed channel coding schemes for UWB communications and radar, including time-hopping, bi-phase, and frequency-hopping codes.  Codes were optimized for various metrics, including absence of spectral features, high channelization capabilities, and fast acquisition.  Designed high-order modulation schemes for use in UWB communications.  Supported design and analysis of a UWB physical layer for the IEEE 802.15.3 wireless personal area networking standard.  Developed mathematical model for ultra-wideband receivers used in the analysis of receiver efficiency.    Formulated statistical models for UWB RF channels.  Developed simulator for performance evaluation of UWB radios.
  • Scientist, COLSA Corporation, June 1997 – December 1999. Research, analysis, and software engineering in support of the National Missile Defense (NMD) program, primarily focused on automatic pattern recognition and signal processing technologies.

Publications & PrePrints

  1. Andreas Molisch, Marcus Pendergrass, et al, “UWB Propogation Channels”, in UWB Communication Systems: A Comprehensive Overview, M. G. DiBenedetto, T. Kaiser, A. F. Molisch, I. Opermann, C. Politano, and D. Porcino (eds.), EURASIP Book Series on Signal Processing and Communications, Hindawi Publishing Company, 2006. 
  2. M. Leigh Lunsford, Marcus Pendergrass, Phillip Poplin, and David Shonethal, "Naive Calculus: The Chain Rule", submitted, 2006.
  3. M. Leigh Lunsford, Marcus Pendergrass, Phillip Poplin, and David Shoenthal, "Naive Calculus: The Product And Quotient Rules", submitted, 2006.
  4. Andreas F. Molisch, Jeffrey R. Foerster, and Marcus Pendergrass, "Channel Models for Ultrawideband Personal Area Networks", IEEE Wireless Communications, December 2003.
  5. Marcus Pendergrass, "Error Rates for a Class of Multiple Position Modulation Schemes", IEEE Vehicular Technology Conference, Spring 2002, May 6 - 9, 2002, Birmingham Alabama.
  6. Marcus Pendergrass and Joy Kelly, "Proposal for Alternate Physical Layer for 802.15.3", IEEE 802.15.3 Document Archives, 03144r1P802-15_TG3a-TimeDomain-CFP-Document.pdf, March 2003.
  7. Kyle Siegrist and Marcus Pendergrass, "Generalizations of Bold Play in Red and Black", Stochastic Processes and Their Applications, 92 (2001), 163-180.
  8. Marcus Pendergrass, "Note on Optimal Receiver Design", Time Domain Technical Memorandum SYS-GEN-MP-043001RB, May 2, 2001.
  9. Marcus Pendergrass, Complexity of Set-Valued Maps, Ph.D. Dissertation, University of Alabama System, 1994.
  10. Marcus Pendergrass, The Saddle-Node Property, with Applications to a System from Population Biology, Master’s Thesis, University of Alabama in Huntsville, 1991.

Patents

  1. Richards, James L., Roberts, Mark D., and Pendergrass, Marcus H., “Method and Apparatus for Positioning Pulses in Time”, US Patent 6,959,032, October 25, 2005.
  2. Pendergrass, Marcus H., and Roberts, Mark D., “System and Method for Positioning Pulses in Time Using a Code That Provides Spectral Shaping”, US Patent 6,937,639, August 30, 2005.
  3. Kumar, P. Vijay, and Pendergrass, Marcus H., “Method and Apparatus for Generating a Large Number of Codes Having Desirable Correlation Properties”, US Patent 6,912,240, June 28, 2005.
  4. Richards, James L., Roberts, Mark D., Pendergrass, Marcus H., and Fullerton, Larry W., “Method and Apparatus for Applying Codes Having Pre-Defined Properties”, US Patent 6,788,730, September 7, 2004.
  5. Fullerton, Larry W., Roberts, Mark D., Richards, James L., and Pendergrass, Marcus H., “Method and Apparatus for Generating a Pulse Train With Specifiable Spectral Response Characteristics”, US Patent 6,778,603, August 17, 2004.
  6. Brethour, Vernon R., Pendergrass, Marcus H., and Confer, Ryan N., “Method and Apparatus for Implementing Precision Time Delays”, US Patent 6,677,796, January 13, 2004.
  7. Richards, James L, Roberts, Mark D., Pendergrass, Marcus H., and Fullerton, Larry W., “Method and Apparatus for Positioning Pulses Over Time by Applying Time-Hopping Codes Having Pre-Defined Characteristics”, US Patent 6,671,310, December 30, 2003.
  8. Roberts, Mark D., Pendergrass, Marcus H., Fullerton, Larry W., Richards, James L., “Method for Specifying Non-Allowable Pulse Characteristics”, US Patent 6,636,567, October 21, 2003.
  9. Roberts, Mark D., Pendergrass, Marcus H., Fullerton, Larry W., and Richards, James L., “Method and Apparatus for Specifying Pulse Characteristics Using a Code that Satisfies Pre-Defined Criteria”, US Patent 6,636,566, October 21, 2003.