Tolerance Analysis for Phased Arrays

  • Kenneth N. Bates
Part of the Acoustical Imaging book series (ACIM, volume 9)


The effects of phase and amplitude quantization, random and periodic errors, channel to channel crosstalk, and missing radiators upon the line response of a phased array imaging system are discussed. A tolerance analysis is developed that allows the design engineer to evaluate the effects of those errors and to set limits as to their maximum allowable magnitudes.


Phase Array Phase Quantization Side Lobe Coupling Function Tolerance Analysis 


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  1. 1.
    J. W. Goodman, “Introduction to Fourier Optics,” MdGraw-Hill, New York, (1968).Google Scholar
  2. 2.
    B. D. Steinberg, “Principles of Aperture and Array System Design,” John Wiley and Sons, New York (1976), Chapter 7.Google Scholar
  3. 3.
    Ibid., Chapter 13.Google Scholar
  4. 4.
    Ibid., Chapter 13.Google Scholar
  5. 5.
    Ibid., Chapter 13.Google Scholar
  6. 6.
    J. Fraser, J. Havlice, G. Kino, W. Leung, H. Shaw, K. Toda, T. Waugh, D. Winslow, and L. Zitelli, “An Electronically Focused Two-Dimensional Acoustic Imaging System,” Acoustical Imaging, Plenum Press, New York (1975), Vol. 6, pp. 292–299.Google Scholar

Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • Kenneth N. Bates
    • 1
  1. 1.Stanford UniversityStanfordUSA

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