IRVING S

IRVING S. REED

BOOKS AND BOOK CHAPTERS:

1. J.S. Goldstein and I.S. Reed, "Space-Time Adaptive Processing: Detection and Estimation," Wiley Series on Adaptive and Learning Systems for Signal Processing, Communications, and Control, John Wiley & Sons, New York, NY, in preparation, 1997.

2. J.S. Goldstein and I.S. Reed, "Transform Domain Adaptive Filtering and Rank Reduction," a chapter to appear in Adaptive Filtering in the Frequency Domain, edited by Simon Haykin, John Wiley & Sons, New York, NY, 1997.

3. Survey of Switching Circuit Theory, Chapter II, McGraw-Hill Book Company, 1962.

4. Theory and Design of Digital Machines, with T.C. Bartee and I.L. Lebow, Fourth Lincoln Laboratory Publication, McGraw-Hill Company, 1962.

5. Theorie et Syntheses des Machiens Numerales, with T.C. Bartee and I.L. Lebow, Dunod, Paris, 1968.

6. "The Use of Finite Fields to Compute Convolutions," (with T.K. Truong) Prentice-Hall, Inc., Englewood Cliffs, NJ. 1979. (Chosen as one of the best papers in Number Theory in Digital Signal Processing edited by J.H. McClellan and C.M. Rader.)

7. "A VLSI Architecture for a Digital Filter Using a Number-Theoretic Transform," (with T.K. Truong, C-S. Yeh, J.J. Chang and H.M. Shao), appears as a chapter in VLSI and Modern Signal Processing, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1985 (edited by S.Y. Kung, H.J. Whitehouse and T. Kailath).

8. "A VLSI Architecture for Performing Finite Field Arithmetic with Reduced Table Lookup," (with I.S. Hsu, T.K. Truong and N. Glover), appears as a chapter in Linear Algebra and Its Applications, Elsevier Science Publishing Co., 1988 (edited by I.F. Blake).

PUBLICATIONS:

1. "The Mellin Type of Double Integral," Duke Math. J., Vol. II, No. 3, September 1944.

2. "On the Solution of a General Transform," Proceedings of National Academy of Sciences, Vol. 30, No. 7, 196-172, 1944.

3. "On a Continued Fraction Related to Euler's Constant," Revista de Ciences, Vol. 49, 239-245, 1947.

4. "Note on a Minimum Value of the Gamma Function," Revista de Ciences, Vol. 50, 151-154, 1948.

5. "A General Isomorphism Theorem for Factor Groups," Mathematics Magazine, May-June 1949.

6. "Symbolic Synthesis of Digital Computers," Proceedings of Association for Computing Machinery, September 1952.

7. "The Phase Bistable Transistor Circuit," with R.H. Baker, I.L.Lebow, R.H. Rediker, Proceedings of IRE, 1953.

8. "A Class of Multiple-Error-Correcting Codes and the Decoding Scheme," IRE Transactions, PGIT, September 1954.

9. "An Analysis of Signal Detection and Location by Digital Methods," with G.P. Dinneen, IRE Transactions on Information Theory, Vol. IT-2, March 1956.

10. "Systematic Design of CG-24," Proceedings of Eastern Joint Computer Conference, J. Article 1119, December 3-5, 1958.

11. "On the Use of Laguerre Polynomials in Treating the Envelope and Phase Components of Narrow-Band Gaussian Noise," IRE Transactions on Information Theory, Vol. IT-5, September 1959.

12. "Polynomial Codes Over Certain Finite Fields," with G. Solomon, J. Soc. Ind. Applied Math., Vol. 8, 300-304, 1960.

13. "The Detection of Radar Echoes in Noise, I," with E.J. Kelly and W.L. Root, J. Soc. Indust. Applied Math., Vol. 8, No. 2, 309-341, June 1960.

14. "The Detection of Radar Echoes in Noise, II," with E.J. Kelly and W.L. Root, J. Soc. Indust. Applied Math., Vol. 8, 481-507, September 1960.

15. "Mathematical Structure of Sequential Machines," paper delivered at AIEE Fall General Meeting, New York, New York, September 1960.

16. "Note on the Existence of Perfect Maps," with R.M. Steward, IRE Transactions on Information Theory, Vol. IT-8, January 1962.

17. "Overlapping Tessellated Communications Networks," with L.J. Craig, IRE Transactions on Communication Theory, Vol. CS-10, March 1962.

18. "On a Moment Theory for Complex Gaussian Processes," IRE Transactions on Information Theory, Vol. IT-8, April 1962.

19. "Filterless Approximations of Kth Order to Coherent Detection," with P. Swerling, IRE Transactions on Information Theory, Vol. IT-8, April 1962.

20. "Probability and Statistics in Systems Work," IRE Transactions on Education, Vol. E-5, No. 2.

21. "Path-Invariant Comma-Free Codes," with W.B. Kendall, IRE Transactions on Information Theory, Vol. IT-8, October 1962.

22. "A Sequential Test for Radar Detection of Multiple Targets," with W.B. Kendall, IEEE Transactions on Information Theory, January 1963.

23. "A Sequential Test for the Presence of a Signal in One of K Possible Positions," with I. Selin, IEEE Transactions on Information Theory, October 1963.

24. "On Synchronization in Communication Theory," IEEE Transactions on Communications Systems, Vol. CS-11, December 1963.

25. "Approximate Band-Pass Limiter Envelope Distributions," with W. Doyle, IEEE Transactions on Information Theory, July 1964.

26. "Communication with Orthogonal Polyphase Signals Over a Noisy Channel with Doppler Frequency Shift," with L.H. Zetterberg, IEEE Transactions on Communication Systems, December 1964.

27. "Some Remarks on State Reduction of Asynchronous Circuits by the Paul-Unger Method," IEEE Transactions on Computers, April 1965.

28. "Space-Time Cross-Correlation Functions for Antenna Array Elements in a Noise Field," with D.G. Childers, IEEE Transactions on Information Theory, April 1965.

29. "On the Sequential Detection of Emerging Targets," with R.M. Gagliardi, IEEE Transactions on Information Theory, April 1965.

30. "On the Computation of the Q-Function," with L.E. Brennan, IEEE Transactions on Information Theory, April 1965.

31. "On the Theory of Continuous Array Processing," with D.G. Childers, IEEE Transactions on Aerospace Electronics, June 1965.

32. "Average Time to Loss of Lock for an Automatic Frequency Control Loop with Two Fading Signals, and a Related Probability Distribution," with G.W. Lank, IEEE Transactions on Information Theory, January 1966.

33. "N-Orthogonal Phase-Modulated Codes," with R.A. Scholtz, IEEE Transactions on Information Theory, July 1966.

34. "The Effect of Quantization Noise in Digital Moving Target (MTI) Systems," with L.E. Brennan, IEEE Transactions on Aerospace Electronics, January 1967.

35. "A Model for the Radar Echo from a Random Collection of Rotating Dipole Scatters," with Z.A. Kaprielian and J.L. Wong, IEEE Transactions on Aerospace Electronics, AES-3, No. 2, pp. 171-178, March 1967.

36. "A Generalization of the Gabor-Helstrom Transform," with K.L. Montgomery, IEEE Transactions on Information Theory, Vol. IT-13, No. 2, April 1967.

37. "Radiation Models Using Coupled, Randomly Pulsed Oscillators," paper delivered at URSI-sponsored International Symposium on Deformation Theory, San Remo, Italy, with S. Karp and R.M. Gagliardi, September 11-15, 1967.

38. "Asynchronous Finite-State Machines - A Novel Control System Class," American Institute of Aeronautics and Astronautics, 4th Annual Meeting, Paper No. 67-988, with C.R. Walli, October 23-27, 1967.

39. "A Comparison of Average-Likelihood and Maximum-Likelihood Ratio Tests for Detecting Radar Targets of Unknown Doppler Frequency," IEEE Transactions on Information Theory, Vol. IT-14, No. 1, with L.E. Brennan and W. Sollfrey, pp. 104-110, January 1968.

40. "Optimum Processing of Unequally Spaced Radar Pulse Trains for Clutter Rejection," IEEE Transactions on Aerospace Electronic Systems, with L.E. Brennan, Vol. AES-4, No. 3, pp. 471-474, May 1968.

41. "Radiation Models Using Discrete Radiation Ensembles," with S. Karp and R.M. Gagliardi, Proceedings of the IEEE, Vol. 56, No. 10, pp. 1704-1711, October 1968.

42. "Asynchronous Finite-State Machines - A Novel Control System Class," with C.R. Walli, American Inst. of Aero. and Astro. J., Vol. 7, No. 3, March 1969.

43. A Generalization of Shift Register Sequences Generators," with R. Turn, J. Association for Computing Machinery, Vol. 16, No. 3, pp. 461-473, July 1969.

44. "Multipath Tolerant Ranging and Data Transfer Techniques for Air-to-Ground and Ground-to-Air Links," with H. Balsbalg, Proceedings of the IEEE, Vol. 58, No. 3, March 1970.

45. "Arithmetic Norms and Bounds on Arithmetic AN Codes,: with A.C.L. Chiang, IEEE Transactions on Information Theory, Vol. IT-16, No. 4, pp. 470-476, July 1970.

46. "The Equivalence of Rank Permutation Codes to a New Class of Binary Codes," with H. Chadwick, IEEE Transactions on Information Theory, Vol. IT-16, No. 5, September 1970.

47. "Coding Techniques for Failure Tolerant Counters," with A.C.L. Chiang, IEEE Transactions on Computers, Vol. C-19, No. 11, November 1970.

48. "K-th Order Near Orthogonal Codes," IEEE Transactions on Information Theory, Vol. IT-17, No. 1, January 1971.

49. "Control Loop Noise in Adaptive Array Antennas," with L.E. Brennan and E. Pugh, IEEE Transactions on Aerospace and Electronic Systems, Vol. AES-7, No. 2, March 1971.

50. "The Effect of Envelope Limiting in Adaptive Array Control Loops," with L.E. Brennan, IEEE Transactions on Aerospace and Electronic Systems, Vol. AES-7, No. 4, July 1971.

51. "Path Sensitization, Partial Boolean Difference, and Automated Fault Diagnosis," with A.C.L. Chiang and A.V. Barnes, IEEE Transactions on Computers, Vol. C-21, No. 2, February 1972.

52. "Redundancy by Coding Versus Redundancy for Failure-Tolerant Circuits," with R.W. Larsen, IEEE Transactions on Computers, Vol. C-21, No. 2, February 1972.

53. "The Systematic Selection of Cyclically Equivalent Codes," with C.T. Wolverton, IEEE Transactions on Information Theory, Vol. IT-18, No. 2, March 1972.

54. "An On-Off Communications Study," 1972 International Symposium on Information Theory, with R.A. Scholtz, Pacific Grove, California, January 1972.

55. "Symbolic Design Techniques Applied to a Stored-Microprogram Computer," Computer, May/June, 1972.

56. "Notes on the Arithmetic BN Modulo A Codes", IEEE Transactions on Computers, with A.C.L. Chiang, Vol. C-21, No. 8, August 1972.

57. "Boolean Difference Calculus and Fault Finding," SIAM J. Applied Math, Vol. 24, No. 1, January 1973.

58. "Equivalence of the Likelihood Ratio Processor, The Maximum Signal-to-Noise Ratio Filter and the Wiener Filter," IEEE Transactions on Aerospace and Electronic Systems, with L.W. Brooks.

59. "A Semicoherent Detection and Doppler Estimation Statistic," IEEE Transactions on Aerospace and Electronic Systems, with G.W. Lank and G.E. Pollon, Vol. AES-9, No. 2, March 1973.

60. "Theory of Adaptive Radar," IEEE Transactions on Aerospace and Electronic Systems, with L.E. Brennan, Vol. AES-9, No. 2, pp. 237-252, March 1973.

61. "Information Theory and Privacy in Data Banks," AFIPS Conference Proceedings, Vol. 42, Natl. Computer Conference and Exposition, June 4-8, 1973, AFIPS Press, New York, 1973.

62. "Sample Matrix Inversion Technique," with J.D. Mallett and L.E. Brennan, Proceedings of the Adaptive Antenna Systems Workshop, Vol. I, Naval Research Laboratory, Apt. No. 7803, March 11-13, 1974.

63. "Rapid Convergence Rate in Adaptive Arrays," with J.D. Mallett and L.E. Brennan, IEEE Transactions on Aerospace and Electronic Systems, Vol. AES-10, No. 6, pp. 853-863, November 1974.

64. "Error-Correcting Codes for Reliable Digital Circuits," Invited Paper in book, Computer Systems Reliability, Infotech State of the Art Report 20, Published by Infotech Information Ltd., Berkshire, England, 1974.

65. "Adaptive Arrays," with L.E. Brennan and P. Swerling, Microwave, J. 17, No. 5, May 1974, pp. 43-46.

66. "The Use of Finite Fields to Compute Convolutions," with T.K. Truong, IEEE Transactions on Information Theory, pp. 208-213, March 1975.

67. "Artifacts in Three Dimensional Reconstruction from Medical Radiographic Projections," with E.L. Hall, G.C. Huth and R. Gans, Fourth International Congress for Stereology, September 4-9, 1975, held at the National Bureau of Standards, Gaithersburg, Maryland, pg. 26.

68. "Complex Integer Convolutions Over a Direct Sum of Galois Fields," with T.K. Truong, IEEE Transactions on Information Theory, Vol. IT-21, No. 2, November 1975.

69. "Galois Switching Functions and Their Applications," with B. Benjauthrit, IEEE Transactions on Computers, Vol. C-25, No. 1, January 1976.

70. "Angle Estimation with Adaptive Arrays in External Noise Fields," with R.C. Davis and L.E. Brennan, IEEE Transactions on Aerospace and Electronic Systems, Vol. AES-12, No. 2, March 1976.

71. "Convolutions Over Residue Classes of Quadratic Integers," IEEE Transactions on Information Theory, with T.K. Truong, Vol. IT-22, No. 4, July 1976.

72. "Convolutions Over Quadratic Integer Residue Classes," with T.K. Truong, The Proceedings of the International Conference on Information Sciences and Systems, Patras, Greece, August 19-24, 1976.

73. "Image Processing by Transforms Over a Finite Field," with T.K. Truong, Y.S. Kwoh and E.L. Hall, IEEE Transactions on Computers, Vol. C-26, No. 9, September 1976.

74. "Fast Number-Theoretic Transforms for Digital Filtering," with K.Y. Liu and T.K. Truong, Electronic Letters, Vol. 12, No. 24, November 1976.

75. "X-Ray Reconstruction by Finite Field," with T.K. Truong and Y.S. Kwoh, IEEE Transactions on Nuclear Science, Vol. NS-24, No. 1, February 1977.

76. "Integer Convolutions Over the Finite Field GF(3 \cdots 2^n +1)" with S.W. Golomb and T.K. Truong, SIAM Journal on Applied Mathematics, March 1977.

77. "Recursive Realization of Finite Impulse Filters, Using Finite Field Arithmetic," with H. Murakami, IEEE Transactions on Information Theory, Vol. IT-23, No. 2, March 1977.

78. "A New Fast Algorithm for Computing Complex Number-Theoretic Transform," with T.K. Truong and K.Y. Liu, Electronic Letters, Vol. 13, No. 10, 12th May, 1977.

79. "Correction to Convolutions Over Residue Classes of Quadratic Integers," with T.K. Truong, IEEE Transactions on Information Theory, Vol. IT-23, No. 4, July 1977.

80. "Fast Algorithm for Complex Integer Transforms," with K.Y. Liu and T.K. Truong, IEEE Transactions on Acoustics, Speech, and Signal Processing, Vol. ASSP-25, No. 5, October 1977.

81. "A Generalized | \omega | - Filter for 3-D Reconstruction," with Y.S. Kwoh and T.K. Truong, IEEE Transactions on Nuclear Science, Vol. NS-24, No. 5, October 1977.

82. "Back Projection Speed Improvement for 3-D Reconstruction," with Y.S. Kwoh and T.K. Truong, IEEE Transactions on Nuclear Science, Vol. NS-24, No. 5, October 1977.

83. "High-Radix Transforms for R-S Codes Over Fermat Primes," with K.Y. Liu and T.K. Truong, IEEE Transactions Information Theory, Vol. IT-23, No. 6, November 1977.

84. "Transform Decoder of Reed-Solomon Codes for Multiple-User Communication Systems Using a Direct Sum of Galois Fields," with H. Murakami and L.R. Welch, IEEE Transactions Information Theory, Vol. IT-28, No. 9, November 1977.

85. "The Fast Decoding of Reed-Solomon Codes Using Fermat Theoretic Transforms and Continued Fractious," with R.A. Scholtz, T.K. Truong and L.R. Welch, IEEE Transactions on Information Theory, Vol. IT-24, No. 1, January 1978.

86. "Multi-Channel Convolutional Coding Systems Over a Direct Sum of Galois Fields," with H. Murakami, IEEE Transactions on Information Theory, Vol. IT-24, No. 2, March 1978.

87. "A Fast DFT Algorithm Using Complex Integer Transforms," with T.K. Truong, Electronic Letters, Vol. 14, No. 6, March 1978.

88. "Addendum to Fast Algorithm for Computing Complex Number-Theoretic Transforms," with T.K. Truong, Electronic Letters, Vol. 14, No. 7, March 1978.

89. "Fast Mersenne-Prime Transforms for Digital Filtering," with T.K. Truong, Proceedings of IEE, Vol. 125, No. 5, May 1978.

90. "3-D Reconstruction for Diverging X-Ray Beams," with T.K Truong, C.M. Chang, and Y.S. Kwoh, IEEE Transactions on Nuclear Science, Vol. NS-25, No. 3, June 1978.

91. "Correction to Fast Algorithm for Computing Complex Number-Theoretic Transform," with T.K. Truong and R.L. Miller, Electronic Letters, Vol. 14, No. 13, June 1978.

92. "The Fast Decoding of Reed-Solomon Codes Using Fermat Number Theoretic Transforms," with T.K. Truong and L.R. Welch, IEEE Transactions Information Theory, Vol. IT-24, No. 4, July 1978.

93. "A Fast Algorithm for Computing a Primitive 2 s^{p+1} p-th Root of Unity in GF((2^{p-1})^2)," with T.K Truong and R.L. Miller, Electronic Letters, Vol. 14, No. 15, July 20, 1978.

94. "On the Fundamental Structure of Galois Switching Functions," with B. Benjauthrit, IEEE Transactions on Computers, Vol. C-27, No. 8, August 1978.

95. "A Simple Method for Computing Elements of Order 2^k \cdot n, where n|2^{p-1} - 1 and 2 \leq k \leq p+1 in GF((2 ^p -1)^2)," with T.K. Truong and R.L. Miller, Electronic Letters, October 1978.

96. "On Decoding of Reed-Solomon Codes Over GF(32) and GF(64) Using the Transform Techniques of Winograd," with T.K. Truong and B. Benjauthrit, National Telecommunications Conference, Birmingham, Alabama, December 1978.

97. "A Simple Proof of the Continued Fraction Algorithm by Using Continued Fraction Approximations," with T.K. Truong, Proceedings IEE, Vol. 125, No. 12, December 1978.

98. "Fast Computation of Complex Convolution Using a Hybrid Transform," with T.K. Truong, IEEE Transactions on Acoustics, Speech, and Signal Processing, Vol. ASSP-26, No. 6, December 1978.

99. "Correction to Fast Mersenne Prime Transforms for Digital Filters," with T.K. Truong and R.L. Miller, Proceedings of IEEE, Vol. 126, No. 2, February 1979.

100. "Dose Reduction in X-Ray Computed Tomography Using a Generalized Filter," with T.K Truong, W.V. Glenn, C.M. Chang and Y.S. Kwoh, IEEE Transactions on Nuclear Science, Vol., NS-26, No. 2, April 1979.

101. "A Fast and New Hybrid Algorithm for Computing the Discrete Fourier Transform," with T.K. Truong, IEEE Transactions on Computers, Vol. C-28, No. 7, pp. 487-492. July 1979,

102. "Simplified Algorithm for Correcting Both Errors and Erasures of Reed-Solomon Codes," with T.K. Truong and R.L. Miller, Proceedings IEE, Vol. 126, No. 10, October 1979.

103. "Correction to Simple Method for Computing Elements of Order 2^k n, where n|2^{p-1} - 1 and 2 \leq k \leq p+1, in GF[(2^{p-1} - 1)^2]," with T.K. Truong and R.L. Miller, Electronic Letters, Jan. 18, 1979.

104. "Correction to Fast Mersenne Prime Transforms for Digital Filters," with T.K. Truong and F.L. Miller, Proceedings IEE, Vol. 126, No.2, February 1979.

105. "A Clinical Experience with Low Dose Algorithms," with T.K. Truong, W.V. Glenn, Y.S. Kwoh and C.M. Chang, Scientific Program for the International Symposium and Course on Computed Tomography, Las Vegas, Nevada. April 16-20, 1979

106. "Decoding of B.C.H. and R.S. Codes with Errors and Erasures Using Continued Fractions," with T.K. Truong and R.L. Miller, Electronic Letters, 16, Vol. 15, No. 17, pp. 542-544. August, 1979

107. "Fast Technique for Computing Primitive Elements in the Field of Gaussian Complex Integers Modulo a Mersenne Prime," with T.K. Truong and R.L. Miller, IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. ASSP-27, No. 5, pp. 561-563., October 1979

108. "Fast Technique for Computing Syndromes of BCH and Reed-Solomon Codes," with R.L. Miller and T.K. Truong, Electronic Letters, Vol. 15, No. 22, pp. 720-721. October 25, 1979

109. "A New Algorithm for Computing Primitive Elements in the Field of Gaussian Complex Integers Modulo a Mersenne Prime," with T.K. Truong and R.L. Miller, IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. ASSP-27, No. 5, pp. 561-563, October 1979.

110. "Weiner Filtering of Successive Overlapping Sections of an X-Ray Reconstruction," with W.V. Glenn, C.M. Chang, T.K. Truong, and Y.S. Kwoh, IEEE Transactions on Biomedical Engineering, Vol. BME-27, No. 2, February 1980.

111. "Fast Algorithm for Encoding the (255,223) Reed-Solomon Code over GF(2^8)," with R.L. Miller and T.K. Truong, Electronic Letters, Vol. 16, No. 6, pp. 222-223, March 13, 1980.

112. "X-Ray Reconstruction of the Spinal Cord, Using Bone Suppression," with W.V. Glenn, T.K. Truong, Y.S. Kwoh and C.M. Chang, IEEE Transactions on Biomedical Engineering, Vol. BME-27, No. 6, pp. 293-298, June 1980.

113. "Efficient Program for Decoding the (255,223) Reed-Solomon Code over GF(2^8) with Both Errors and Erasures, Using Transform Decoding," with R.L. Miller and T.K. Truong, IEE Proceedings, Vol. 127, Pt. E, No. 4, pp. 136-142, July 1980.

114. "A Bandpass Filter for the Enhancement of an X-Ray Reconstruction of the Tissue in the Spinal Canal," with W.V. Glenn, Y.S. Kwoh and T.K. Truong, IEEE Transactions on Biomedical Engineering, Vol. BME-27, No. 12, pp. 736-738. December 1980.

115. "On the Application of a Fast Polynomial Transform and the Chinese Remainder Theorem to Compute a Two-Dimensional Convolution," with T.K Truong, R.G. Lipes and C. Wu, IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. ASSP-29, No. 1, pp. 91-97. February 1981.

116. "A Theorem for Computing Primitive Elements in the Field of Complex Integers of a Mersenne Prime," with R.L. Miller and T.K. Truong, IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. ASSP-29, No. 1, pp. 119-120. February 1981.

117. "A Fast Algorithm for Computing a Complex-Number Theoretic Transform for Long Sequences," with T.K. Truong, B. Benjauthrit and C. Wu, IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. ASSP-29, No. 1, pp. 122-124. February 1981.

118. "Fast Transforms for Decoding Reed-Solomon Codes," with T.K. Truong, R.L. Miller and J.P. Huang, IEE Proceedings, Vol. 128, Pt. F, No. 1, pp. 9-14, February 1981.

119. "Fast Polynomial Transform and its Implementation by Computer," with H.M. Shao and T.K. Truong, IEE Proceedings, Vol. 128, Pt. E, No. 1, pp. 50-60, March 1981.

120. "Addendum to 'A New Hybrid Algorithm for Computing a Fast Discrete Fourier Transform," with T.K. Truong and B. Benjauthrit, IEEE Transactions on Computers, Vol. C-30, No. 6, pp. 453-454, June 1981.

121. "A New CT Collimator for Producing Two Simultaneous Overlapping Slices from One Scan," with Y.S. Kwoh, T.K Truong and W.V. Glenn, IEEE Transactions on Biomedical Engineering, Vol. BME-28, No. 9, September 1981.

122. "An Improved CT-Aided Stereotactic Neurosurgery Technique," with H.M. Shao, T.K. Truong and Y.S. Kwoh, Proceedings of the Fifth Annual Symposium on Computer Applications in Medical Care, November 1981.

123. "Extension of RSA Cryptostructure: A Galois Approach," with D. Kravitz, Electronic Letters Vol. 18, pp. 255-256. 1982,

124. "Simplified Syndrome Decoding of (n,1) Convolutional Codes," with T.K. Truong, Electronic Letters, Vol. 19, No. 9, April 28, 1982.

125. "Digital SAR Processing Using a Fast Polynomial Transform," with T.K. Truong, R.G. Lipes, A.L. Rubin and S.A. Butman, IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. ASSP-32, No. 2, pp. 419-425, April 1982.

126. "A Decoding Failure Test for the Transform Decoder of Reed-Solomon Codes," with R.L. Miller and T.K. Truong, IEEE International Symposium on Information Theory, Les Arcs, France, June 21-25, 1982.

127. "The VLSI Design of a Single Chip Reed-Solomon Encoder," with T.K. Truong and L.J. Deutsch, JPL Publication 82-84, November 15, 1982.

128. "A Parallel Pipeline Architecture for the Fast-Polynomial-Transform for a Real-Time Synthetic Aperture Radar Processor," with T.K. Truong and K.Y. Liu, IEEE Transaction on Computers, Vol. C-32, No. 3, March 1983.

129. "A VLSI Architecture for Digital Filters Using Complex Number-Theoretic Transforms," with T.K. Truong and C.-S. Yeh, Proceedings of 1983 International Conference on Acoustics, Speech, and Signal Processing (ICASSP '83), Boston, MA., pp. 925-926, April 14-16, 1983.

130. "A Modified Reconstruction Filter for Diverging X-Ray Beams," with T.K. Truong, E.A. Jonckheere, and Y.S. Kwoh, IEEE Transactions on Biomedical Engineering, Vol. BME-30, No. 7, pp. 423-426, July 1983.

131. "An Improved FPT Algorithm for Computing Two-Dimensional Cyclic Convolutions," with T.K. Truong, C.-S. Yeh and H.M. Shao, IEEE Transactions on Acoustics, Speech, and Signal Processing, Vol. ASSP-31, No. 4, pp. 1048-1050, August 1983.

132. "Parallel Architectures for Computing Cyclic Convolutions," with T.K. Truong and C.-S. Yeh, IEE Proceedings, Vol. 130, Pt. F, No. 5, pp. 409-416, August 1983.

133. "A Parallel Architecture for Digital Filtering Using Fermat Number-Theoretic Transforms," with T.K. Truong, C.-S. Yeh and H.M. Shao, IEEE Transactions on Computers, Vol. C-32, No. 9, pp. 874-877, September 1983.

134. "VLSI Design of Number-Theoretic Transforms for a Fast Convolution," with T.K. Truong, C.-S. Yeh, and J.J. Chang, Proceedings IEEE International Conference on Computer Design: VLSI in Computer ICCD '83, Rye Town Hilton, Port Chester, New York, Oct. 31-Nov. 3, 1983.

135. "Golomb's Conjecture is true for Certain Classes of Finite Fields," with T.K. Truong, KEXME TongBA0, Vol. 28, No. 10, October 1983.

136. "Application of 3-D Filtering to Moving Target Detection," with H.M. Shao and R.M. Gagliardi, IEEE Transactions on Aerospace and Electronic Systems, Vol. AES-19, No. 6, pp. 898-905, November 1983.

137. "Systolic Multipliers for Finite Fields GF(2^m)," with C.-S. Yeh and T.K. Truong, IEEE Transactions on Computers, Vol. C-33, No. 4, pp. 357-360, April 1984.

138. "Array Microprogramming for Designing Assembly-line VLSI Structures," with T.K. Truong and J.J. Chang, TENCON '84, An International Conference on Consumer and Industrial Electronics and Applications, Singapore, April 17-19, 1984.

139. "New Syndrome Decoding Techniques for (n,k) Convolutional Codes," with T.K. Truong, IEE Proceedings, Vol. 131, Pt. F, No. 4, pp. 412-416, July 1984.

140. "A Complex Integer Multiplier Using the Quadratic-Polynomial Residue Number System with Numbers of Form 2^{2n} + 1," with H.C. Shyu and T.K. Truong, IEEE Transactions on Computers, Vol. C-36, No. 10, October 1987, pp. 1255-1258; also presented at International Workshop on Systolic Arrays, University of Oxford, July 2-4, 1984.

141. "Sequential Syndrome Decoding of Convolutional Codes," with T.K. Truong, TDA Progress Report 42-79, July-September 1984; also submitted to IEE Proceedings, Part E.

142. "Fast NMR Imaging Using Static Polarized Linear Gradient Fields," with Y.S. Kwoh, T.K. Truong, E. Jonckheere and H.M. Shao, 6th Annual Conference of the IEEE Engineering in Medicine and Biology Society Conference, Los Angeles, CA, September 15-16, 1984.

143. "New Implementations of Fan-Beam X-Ray Reconstruction Filters," with E.A. Jonckheere, T.K. Truong, and Y.S. Kwoh, 6th Annual Conference of the IEEE Engineering in Medicine and Biology Society Conference, Los Angeles, CA, September 15-16, 1984.

144. "The VLSI Implementation of a Reed-Solomon Encoder Using Berlekamp's Bit-Serial Multiplier Algorithm," with L.J. Deutsch, I.S. Hsu, T.K. Truong, K. Wang, and C.-S. Yeh, IEEE Transactions on Computers, Vol. C-33, No. 10, Oct. 1984. Also the Third Caltech Conference on Very Large Scale Integration, 1983, edited by Randal Bryant, Computer Science Press, Inc.

145. "Error-Trellis Syndrome Decoding Techniques for Convolutional Codes," with T.K. Truong, IEE Proceedings, Vol. 132, Pt. F, No. 2, pp. 77-83, April 1985. Also TDA Progress Report 42-78, April-June 1984.

146. "Adaptive Optical Target Detection Using Correlated Images," with A. Margalit and R.M. Gagliardi, IEEE Transactions on Aerospace and Electronic Systems, Vol. AES-21, No. 3, pp. 394-405, May 1985.

147. "A VLSI Design of a Pipeline Reed-Solomon Decoder," with H.M. Shao, T.K. Truong, L.J. Deutsch and J.H. Yueh, IEEE Transactions on Computers, Vol. C-34, No. 5, pp. 393-403, May 1985.

148. "VLSI Residue Multiplier Modulo a Fermat Number," with T.K. Truong, J.J. Chang, H.M. Shao and I.S. Hsu, IEEE Proceedings of the 7th Symposium on Computer Arithmetic, Urbana, IL, June 4-6, 1985.

149. "An Improved CT-Aided Stereotactic Neurosurgery Technique," with H.M. Shao, T.K. Truong and Y.S. Kwoh, IEEE Transactions on Biomedical Engineering, Vol. BME-32, No. 7, pp. 540-544, July 1985.

150. "VLSI Architectures for Computing Multiplications and Inverses in GF(2^n)," with C. Wang, J.K. Omura, T.K. Truong and H.M. Shao, IEEE Transactions on Computers, Vol. C-34, No. 8, August 1985.

151. "Methods for Finding Logarithms and Exponentials Over a Finite Field," with N. Glover, T.K. Truong and J.P. Huang, Acta Electronica Sinica, Vol. 13, No. 5, September 1985.

152. "A VLSI Single Chip (255,223) Reed-Solomon Encoder," with I.S. Hsu and L.J. Deutsch, TDA Progress Report 42-83, Jet Propulsion Laboratory, July-September 1985.

153. "A VLSI Single Chip 8-Bit Finite Field Multiplier," with I.S. Hsu, L.J. Deutsch and H.M. Shao, TDA Progress Report 42-83, Jet Propulsion Laboratory, July-September 1985.

154. "Brief History of Adaptive Arrays," IEEE Military Communications Conference, Boston, MA, October 20-23, 1985.

155. "A New CT-Aided Robotic Stereotactic System," with H.M. Shao, J.Y. Chen, T.K. Truong and Y.S. Kwoh, Annual Symposium on Computer Applications in Medical Care, Baltimore, MD, November 10-13, 1985.

156. "A New CT-Aided Stereotactic Technique Using a Robot," with Y.S. Kwoh, H.M. Shao, J. Chen, and T.K. Truong, Ninth Annual Symposium on Computer Applications in Medical Care, Baltimore, MD, November 10-13, 1985.

157. "VLSI Architectures for the Multiplication of Integers Modulo a Fermat Number," with J.J. Chang and T.K. Truong, IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. ASSP-35, December 1985.

158. "A VLSI Design of a Single Chip for the Multiplication of Integers Modulo a Fermat Number," with J.J. Chang, T.K. Truong, H.M. Shao and I.S. Hsu, IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. ASSP-33, No. 6, pp. 1599-1602, December 1985.

159. "A Parallel VLSI Architecture for a Digital Filter Using a Number-Theoretic Transform," with C-S. Yeh, J.J. Chang and H.M. Shao, VLSI and Modern Signal Processing, Prentice Hall, Inc., Englewood Cliffs, NJ, 1985.

160. "A Single Chip VLSI Reed-Solomon Decoder," with T.K. Truong, H.M. Shao, I.S. Hsu and L.J. Deutsch, Advance Program, International Conference on Acoustics, Speech and Signal Processing, Tokyo, Japan, April 7-11, 1986.

161. "A Comparison of VLSI Architecture of Finite Field Multipliers Using Dual, Normal or Standard Bases," with I. S. Hsu, H. M. Shao and L. J. Deutsch, IEEE Transactions on Computers; also presented at the Fourth International Workshop on VLSI Communication, Ottawa, June 18-21, 1986.

162. "Bounded Distance Coset Decoding of Convolutional Codes," with J.M. Jensen, IEE Proceedings, Vol. 133, Pt. F, No. 5, pp. 488-492, August 1986.

163. "The VLSI Design of Error-Trellis Syndrome Decoding for Convolutional Codes," with I.S. Hsu, J.M. Jensen and T.K. Truong, IEEE Transactions on Computers, Vol. C-35, No. 9, September 1986, pp. 781-789.

164. "Techniques for Computing the DFT Using the Residue Fermat Number Systems and VLSI," with J.J. Chang, T.K. Truong, I.S. Hsu and D.Y. Pei, IEEE Transactions on Computers, Vol. C-35, No. 11, November 1986.

165. "A VLSI Design of a Pipeline Prime Factor DFT over Finite Field," with T.K. Truong, I.S. Hsu, H.C. Shyu and H.M. Shao, presented at GOMAC-86, San Diego, CA, November 11-13, 1986.

166. "A Detection Algorithm for Optical Targets in Clutter," with J.Y. Chen, IEEE Transactions on Aerospace and Electronic Systems, Vol. AES-23, No. 1, January 1987, pp. 46-59.

167. "Signal Processing Algorithms for Optical Surveillance," with R. Gagliardi, Final Tech. Progress Rept., NOSC, January 1987.

168. "A Generalized Adaptive CFAR Detection Algorithm for Optical Targets in Multiple Image Scenes," with K.M. Yang, Research Rept., January 1987.

169. "An Extended Version of the Tomographic Transform Convolution for Spotlight-Mode SAR," with T.K. Truong, ACTA Electronica Simila, Vol. 15, No. 3, May 1987.

170. "A VLSI Single Chip (255,223) Reed-Solomon Encoder with Interleaver," with I.S. Hsu, L.J. Deutsch and T.K. Truong, IEEE Pacific RIM Conference on Communications, Computers and Signal Processing, Advance Program, The Empress Hotel, Victoria, B.C. Canada, June 4-5, 1987.

171. "A New VLSI Architecture for the Viterbi Decoder of Large Constraint Length Convolutional Codes," with I.S. Hsu, T.K. Truong and J. Sun, IEEE Pacific RIM Conference on Communications, Computers and Signal Processing, Advance Program, The Empress Hotel, Victoria, B.C., Canada, June 4-5, 1987.

172. "A New VLSI Complex Integer Multiplier Which Uses a Quadratic-Polynomial Residue System with Fermat Residues," with H.C. Shyu, T.K. Truong, I.S. Hsu and J.J. Chang, IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. ASSP-35, No. 7, July 1987.

173. "Algebraic Structure of Convolutional Codes with Application to Code Construction and Decoding," Final Tech. Rept., NSF, August 1987.

174. "A Pipeline Prime Factor DFT for VLSI Using Cyclic Shuffling," with H.C. Shyu and T.K. Truong, IEE Proceedings, Part E, Vol. 134, No. 5, September 1987.

175. "The Algebraic Structure of Convolutional Codes," Final Tech. Rept., AFOSR, September 1987.

176. "LSI Architecture for Algebraic Syndrome Decoding of Dual-K Convolutional Codes," with J.F. Wang, T.K. Truong, J. Sun and J.Y. Lee, September 1987.

177. "A VLSI Architecture for Performing Finite Field Arithmetic with Reduced Table Look-Up," with I.S. Hsu and T.K. Truong, Fifth International Workshop on Integrated Electronics and Photonics in Communications, Research Triangle Park, NC, October 21-23, 1987.

178. "A Complex Integer Multiplier Using the Quadratic Polynomial Residue Number System with Numbers of Form 2^{2n}+1," IEEE Transactions on Computers, Vol. C-36, No. 10, October 1987, pp. 1255-1258.

179. ≥On the VLSI design of a pipeline Reed-Solomon decoder using systolic arrays≤, with H.M Shao, IEEE Transactions on Computers, CVol. C-37, pp.1273-1280, 1988.