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      Kesirli fourier dönüşümü genliklerinden karmaşık sinyallerin geri kazanımı

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      Author
      Ertosun, M. Günhan
      Atlı, Haluk
      Özaktaş, Haldun M.
      Barshan, Billur
      Date
      2004-04
      Source Title
      Proceedings of the IEEE 12th Signal Processing and Communications Applications Conference, SIU 2004
      Publisher
      IEEE
      Pages
      308 - 311
      Language
      Turkish
      Type
      Conference Paper
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      Abstract
      Bu makalede kesirli Fourier dönüşümü genlikleri kullanılarak karmaşık sinyallerin evrelerinin bulunması üzerinde durulmuştur. Bu aynı zamanda optik eksende enine boyuna rastgele iki yerde yapılan genlik ölçümlerinden evre bilgisinin bulunmasına karşılık gelmektedir. İteratif algoritmanın yakınsaklığı, gürültü ve ölçüm hatalarının etkisi ve bunların dönüşümün kesir değerine olan bağlılığı incelenmiştir. Genel olarak, kesir değerinin ünitere yakın olduğu durumlarda, sıfıra yakın olduğu durumlara göre daha iyi sonuçlar elde edilmiştir. Buna göre, en iyi sonuçları elde etmek için, iki ölçüm düzlemi arasındaki kesir değeri ünitere olabildiğince yakın seçilmelidir.
       
      The problem of recovering a complex signal from the magnitudes of two of its fractional Fourier transforms is addressed This corresponds to phase retrieval from the transverse intensity profiles of an optical field at two arbitrary locations along the optical axis. The convergence of the iterative algorithm, the effects of noise or measurement errors, and their dependence on the fractional transform order are investigated. It is observed that in general, better results are obtained when the fractional transform order is close to unity and poorer results are obtained when the order is close to zero. It follows that to the extent that conditions allow, the fractional order between the two measurement planes should be chosen as close to unity or other odd integer) as possible for best results.
      Keywords
      Complex signal recovery
      Fractional Fourier transforms
      Iterative algorithm
      Phase retrieval
      Algorithms
      Fourier transforms
      Iterative methods
      Measurement errors
      Problem solving
      Signal processing
      Permalink
      http://hdl.handle.net/11693/27432
      Published Version (Please cite this version)
      https://doi.org/10.1109/SIU.2004.1338321
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      • Department of Electrical and Electronics Engineering 3524
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