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Cross-ambiguity function

  • Richard Tolimieri
  • Myoung An
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

Suppose B is a subgroup of a finite abelian group A, Δ0 is the critical sampling subgroup
$${{\Delta }_{0}} = B \times {{B}_{*}},$$
and Δ is a subgroup of A × A*. Unless otherwise specified, F denotes the Zak transform of f over B.

Keywords

Complex Multiplication Inverse Fourier Transform Zero Function Critical Sampling Ambiguity Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. There is a large body of work on the ambiguity function especially in the continuous case. The main part of this chapter is a generalization of the work of Auslander-Tolimieri [2] which dealt mainly with the one-dimensional case of size two to a power. Wilcox [63] provided much of the basis of the early work on the ambiguity function for applications to radar. The ambiguity function is one of several time-frequency representations that have found their way into applications: the Wigner-Ville distribution [57], the exponential distribution [9], and the reduced interference distributions [25]. An excellent overview can be found in [11].Google Scholar

Copyright information

© Birkhäuser Boston 1998

Authors and Affiliations

  • Richard Tolimieri
    • 1
  • Myoung An
    • 2
  1. 1.Department of Electrical EngineeringCity College of New YorkNew YorkUSA
  2. 2.A. J. Devaney AssociatesBostonUSA

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