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European Physical Journal D, Volume 45 , Issue 2 : 335-340(2007) https://doi.org/10.1140/epjd/e2007-00247-9

Performance of equal phase-shift search for one iteration

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  • ReceivedMar 13, 2007
  • PublishedJul 5, 2021
PACS numbers

Abstract


References

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[11] In the reviewer's report on this paper, the reviewer investigated fixed points of the phase-θ search algorithm as follows. The reviewer let f(ϵn)=ϵn+1=ϵ n[1+2(cosθ-1)(1-ϵn)]2. Then the reviewer showed that the equation has 0 to be an attractive fixed point when 0<θ<π/2 because 0<f′. Google Scholar

[12] ′. Google Scholar

[13] ′(0)=1 and f′′(0)=-8 and when θ=2π/3, 1/3 is also a semi-attractive fixed-point because f′(1/3)=-1 and f′′(1/3)=-6. Google Scholar

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