tailieunhanh - Báo cáo hóa học: " Fractional Transforms in Optical Information Processing Tatiana Alieva"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Fractional Transforms in Optical Information Processing Tatiana Alieva | EURASIP Journal on Applied Signal Processing 2005 10 1498-1519 2005 Tatiana Alieva et al. Fractional Transforms in Optical Information Processing Tatiana Alieva Facultad de Ciencias Fisicas Universidad Complutense de Madrid Ciudad Universitaria 28040 Madrid Spain Email talieva@ Martin J. Bastiaans Faculteit Elektrotechniek Technische Universiteit Eindhoven Postbus 513 5600 MB Eindhoven The Netherlands Email Maria Luisa Calvo Facultad de Ciencias Fisicas Universidad Complutense de Madrid Ciudad Universitaria 28040 Madrid Spain Email mlcalvo@ Received 31 March 2004 We review the progress achieved in optical information processing during the last decade by applying fractional linear integral transforms. The fractional Fourier transform and its applications for phase retrieval beam characterization space-variant pattern recognition adaptive filter design encryption watermarking and so forth is discussed in detail. A general algorithm for the fractionalization of linear cyclic integral transforms is introduced and it is shown that they can be fractionalized in an infinite number of ways. Basic properties offractional cyclic transforms are considered. The implementation of some fractional transforms in optics such as fractional Hankel sine cosine Hartley and Hilbert transforms is discussed. New horizons of the application of fractional transforms for optical information processing are underlined. Keywords and phrases fractional Fourier transform fractional convolution fractional cyclic transforms fractional optics. 1. INTRODUCTION During the last decades optics is playing an increasingly important role in computing technology data storage CD-ROM and data communication optical fibres . In the area of information processing optics also has certain advantages with respect to electronic computing thanks to its massive parallelism operating with continuous data and so forth 1 2 3 . Moreover the modern trend from binary logic to fuzzy .

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