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|Title:||Estimating maxima of generalized cross ambiguity functions, and uncertainty principles|
|Authors:||Goh, S.S. |
|Keywords:||Cross ambiguity functions|
Time delay, Doppler shift and time scale estimation
|Citation:||Goh, S.S., Goodman, T.N.T. (2013-03). Estimating maxima of generalized cross ambiguity functions, and uncertainty principles. Applied and Computational Harmonic Analysis 34 (2) : 234-251. ScholarBank@NUS Repository. https://doi.org/10.1016/j.acha.2012.04.004|
|Abstract:||In certain signal processing problems, it is customary to estimate parameters in distorted signals by approximating what is termed a cross ambiguity function and estimating where it attains its maximum modulus. To unify and generalize these procedures, we consider a generalized form of the cross ambiguity function and give error bounds for estimating the parameters, showing that these bounds are lower if we maximize the real part rather than the modulus. We also reveal a connection between these bounds and certain uncertainty principles, which leads to a new type of uncertainty principle. © 2012 Elsevier Inc.|
|Source Title:||Applied and Computational Harmonic Analysis|
|Appears in Collections:||Staff Publications|
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