Bernard Widrow

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Bernard Widrow (born December 24, 1929) is a U.S. professor of electrical engineering at Stanford University.[1] He is the co-inventor of the Widrow–Hoff least mean squares filter (LMS) adaptive algorithm with his then doctoral student Ted Hoff.[2] The LMS algorithm led to the ADALINE and MADALINE artificial neural networks and to the backpropagation technique.


  • 1965 "A critical comparison of two kinds of adaptive classification networks", K. Steinbuch and B. Widrow, IEEE Transactions on Electronic Computers, pp. 737–740.
  • 1985 B. Widrow and S. D. Stearns. Adaptive Signal Processing. New Jersey: Prentice-Hall, Inc., 1985.
  • 1994 B. Widrow and E. Walach. Adaptive Inverse Control. New Jersey: Prentice-Hall, Inc., 1994.
  • 2008 B. Widrow and I. Kollar. Quantization Noise: Roundoff Error in Digital Computation, Signal Processing, Control, and Communications. Cambridge University Press, 2008.



  1. ^ Widrow's Stanford web page
  2. ^ Andrew Goldstein (1997). "Bernard Widrow Oral History". IEEE Global History Network. IEEE. Retrieved 22 August 2011. 
Preceded by
Charles K. Kao
IEEE Alexander Graham Bell Medal
Succeeded by
Joel S. Engel, Richard H. Frenkiel and William C. Jakes, Jr.