Selected Publications (Academic)

Seçilmiş Yayınları (Akademik)

Interconnections for computing systems / Bilgisayar sistemleri için arabağlantılar

1. Haldun M. Ozaktas and Joseph W. Goodman. The limitations of interconnections in providing communication between an array of points. In Stuart K. Tewksbury, editor, Frontiers of Computing Systems Research, volume 2, pages 61-130, Plenum Press, New York, 1991. Invited.
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2. Haldun M. Ozaktas and Joseph W. Goodman. Organization of information flow in computation for efficient utilization of high information flux communication media. Optics Communications, 89:178-182, 1992.
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3. Haldun M. Ozaktas, Hakan Oksuzoglu, R.F.W. Pease, and Joseph W. Goodman. Effect on scaling of heat removal requirements in three-dimensional systems. International Journal of Electronics, 73:1227-1232, 1992.
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4. Haldun M. Ozaktas and Joseph W. Goodman. Comparison of local and global computation and its implications for the role of optical interconnections in future nanoelectronic systems. Optics Communications, 100:247-258, 1993.
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5. D. A. B. Miller and H. M. Ozaktas. Limit to the bit-rate capacity of electrical interconnects from the aspect ratio of the system architecture. Journal of Parallel and Distributed Computing, 41:42-52, 1997.
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6. Haldun M. Ozaktas. Levels of abstraction in computing systems and optical interconnection technology. In Pascal Berthome and Afonso Ferreira, editors, Optical Interconnections and Parallel Processing: Trends at the Interface, pages 1-18, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1998. Invited.
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7. Haldun M. Ozaktas and M. Fatih Erden. Comparison of fully three-dimensional optical, normally conducting, and superconducting interconnections. Applied Optics, 38:7264-7275, 1999.
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8. Haldun M. Ozaktas. Information flow and interconnections in computing: extensions and applications of Rent's rule. Journal of Parallel and Distributed Computing, 64:1360-1370, 2004.
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Optoelectronic and optically interconnected computing systems / Optoelektronik ve optik arabağlantılı bilgisayar sistemleri

1. Haldun M. Ozaktas. Fundamental issues in optical interconnections. In E. Marom, N. A. Vainos, A. A. Friesem, and J. W. Goodman, editors, Unconventional Optical Elements for Information Storage, Processing and Communications, pages 225-234, Kluwer Academic Publishers, Dordrecht, The Netherlands, 2000. Invited.
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2. Haldun M. Ozaktas and Joseph W. Goodman. Lower bound for the communication volume required for an optically interconnected array of points. Journal of the Optical Society of America A, 7:2100-2106, 1990.
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3. Haldun M. Ozaktas and Joseph W. Goodman. Implications of interconnection theory for optical digital computing. Applied Optics, 31:5559-5567, 1992.
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4. Haldun M. Ozaktas and David Mendlovic. Multistage optical interconnection architectures with least possible growth of system size. Optics Letters, 18:296-298, 1993.
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5. Haldun M. Ozaktas and Joseph W. Goodman. Elements of a hybrid interconnection theory. Applied Optics, 33:2968-2987, 1994.
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6. Haldun M. Ozaktas, Hakan Urey, and Adolf W. Lohmann. Scaling of diffractive and refractive lenses for optical computing and interconnections. Applied Optics, 33:3782-3789, 1994.
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7. Haldun M. Ozaktas. Toward an optimal foundation architecture for optoelectronic computing. Part I. Regularly interconnected device planes. Applied Optics, 36:5682-5696, 1997.
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8. Haldun M. Ozaktas. Toward an optimal foundation architecture for optoelectronic computing. Part II. Physical construction and application platforms. Applied Optics, 36:5697-5705, 1997.
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Three-dimensional television / Üç-boyutlu televizyon

1. Haldun M. Ozaktas and Levent Onural. Three-Dimensional Television: Capture, Transmission, Display. Springer Series in Signals and Communication Technology, 2008.
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2. Levent Onural and Haldun M. Ozaktas. Three-dimensional television: from science-fiction to reality. In Haldun M. Ozaktas and Levent Onural, editors, Three-Dimensional Television: Capture, Transmission, Display, pages 1-9, Springer-Verlag, Berlin Heidelberg, 2008.
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3. Haldun M. Ozaktas. Three-dimensional television: consumer, social, and gender issues. In Haldun M. Ozaktas and Levent Onural, editors, Three-Dimensional Television: Capture, Transmission, Display, pages 599-629, Springer-Verlag, Berlin Heidelberg, 2008.
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4. Levent Onural and Haldun M. Ozaktas. Signal processing issues in diffraction and holographic 3DTV. Signal Processing: Image Communication, 22:169-177, 2007.
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5. Levent Onural, Atanas Gotchev, Haldun M. Ozaktas, and Elena Stoykova. A survey of signal processing problems and tools in holographic three-dimensional television. IEEE Transactions on Circuits and Systems for Video Technology, 17:1631-1646, 2007. Invited.
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6. G. Bora Esmer, Levent Onural, and Haldun M. Ozaktas. Exact diffraction calculation from fields specified over arbitrary curved surfaces. Optics Communications, 284:5537-5548, 2011.
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7. Erdem Ulusoy, Levent Onural, and Haldun M. Ozaktas. Full-complex amplitude modulation with binary spatial light modulators. Journal of the Optical Society of America A, 28:2310-2321, 2011.
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8. Levent Onural, Haldun M. Ozaktas, Elena Stoykova, Atanas Gotchev, and John Watson. An overview of the holographic display related tasks within the European 3DTV project. In Photon Management II: SPIE Proceedings 6187, pages 0T-1-0T-10, SPIE, Bellingham, Washington, 2006. Presented at Photonics Europe, 3-7 April 2006, Strasbourg.
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Fundamental information optics / Bilgi optiğinin temelleri

1. Haldun M. Ozaktas and Joseph W. Goodman. The optimal electromagnetic carrier frequency balancing structural and metrical information densities with respect to heat removal requirements. Optics Communications, 94:13-18, 1992.
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2. Haldun M. Ozaktas and Hakan Urey. Space-bandwidth product of conventional Fourier transforming systems. Optics Communications, 104:29-31, 1993.
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3. Haldun M. Ozaktas and Martin C. Nuss. Time-variant linear pulse processing. Optics Communications, 131:114-118, 1996.
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4. Haldun M. Ozaktas and David A. B. Miller. Digital Fourier optics. Applied Optics, 35:1212-1219, 1996.
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5. M. Fatih Erden and Haldun M. Ozaktas. Accumulated Gouy phase shift in Gaussian beam propagation through first-order optical systems. Journal of the Optical Society of America A, 14:2190-2194, 1997.
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6. Haldun M. Ozaktas, Serdar Yuksel, and M. Alper Kutay. Linear algebraic theory of partial coherence: discrete fields and measures of partial coherence. Journal of the Optical Society of America A, 19:1563-1571, 2002.
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7. Haldun M. Ozaktas, Sercan Ö. Arık, Türker Coşkun. Fundamental structure of Fresnel diffraction: natural sampling grid and the fractional Fourier transform. Optics Letters, 36:2524-2526, 2011.
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8. Haldun M. Ozaktas, Sercan Ö. Arık, Türker Coşkun. Fundamental structure of Fresnel diffraction: longitudinal uniformity with respect to fractional Fourier order. Optics Letters, 37:103-105, 2012.
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9. Ayça Özçelikkale and Haldun M. Ozaktas. Representation of optical fields using finite numbers of bits. Optics Letters, 37:2193-2195, 2012.
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Signals, systems, and information theory / Sinyaller, sistemler, ve bilgi kuramı

1. Ayça Özçelikkale, Haldun M. Ozaktas, and Erdal Arıkan. Signal recovery with cost-constrained measurements. IEEE Transactions on Signal Processing, 58:3607-3617, 2010.
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The fractional Fourier transform (general) / Kesirli Fourier dönüşümü (genel)

1. Haldun M. Ozaktas, Zeev Zalevsky, and M. Alper Kutay. The Fractional Fourier Transform with Applications in Optics and Signal Processing. John Wiley and Sons Series in Pure and Applied Optics, 2001.
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2. Haldun M. Ozaktas, M. Alper Kutay, and Çağatay Candan. Fractional Fourier Transform. In Alexander D. Poularikas, editor, Transforms and Applications Handbook, pages 14-1-14-28, CRC Press, Boca Raton, Florida, 2010. Invited.
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3. Haldun M. Ozaktas, Billur Barshan, David Mendlovic, and Levent Onural. Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms. Journal of the Optical Society of America A, 11:547-559, 1994.
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4. Haldun M. Ozaktas and Orhan Aytur. Fractional Fourier domains. Signal Processing, 46:119-124, 1995.
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5. M. Alper Kutay, Hakan Ozaktas, Haldun M. Ozaktas, and Orhan Arikan. The fractional Fourier domain decomposition. Signal Processing, 77:105-109, 1999.
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6. M. Alper Kutay and Haldun M. Ozaktas. The fractional Fourier transform and harmonic oscillation. Nonlinear Dynamics, 29:157-172, 2002. Invited.
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7. Haldun M. Ozaktas and Uygar Sumbul. Interpolating between periodicity and discreteness through the fractional Fourier transform. IEEE Transactions on Signal Processing, 54:4233-4243, 2006.
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The fractional Fourier transform (signal processing) / Kesirli Fourier dönüşümü (sinyal işleme)

1. Haldun M. Ozaktas, Orhan Arikan, M. Alper Kutay, and Gozde Bozdagt. Digital computation of the fractional Fourier transform. IEEE Transactions on Signal Processing, 44:2141-2150, 1996.
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2. M. Alper Kutay, Haldun M. Ozaktas, Orhan Arikan, and Levent Onural. Optimal filtering in fractional Fourier domains. IEEE Transactions on Signal Processing, 45:1129-1143, 1997.
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3. M. Alper Kutay and Haldun M. Ozaktas. Optimal image restoration with the fractional Fourier transform. Journal of the Optical Society of America A, 15:825-833, 1998.
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4. M. Fatih Erden and Haldun M. Ozaktas. Synthesis of general linear systems with repeated filtering in consecutive fractional Fourier domains. Journal of the Optical Society of America A, 15:1647-1657, 1998.
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5. M. Alper Kutay, M. Fatih Erden, Haldun M. Ozaktas, Orhan Arikan,Ozgur Guleryuz, and Cagatay Candan. Space-bandwidth-efficient realizations of linear systems. Optics Letters, 23:1069-1071, 1998.
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6. M. Fatih Erden, M. Alper Kutay, and Haldun M. Ozaktas. Repeated filtering in consecutive fractional Fourier domains and its application to signal restoration. IEEE Transactions on Signal Processing, 47:1458-1462, 1999.
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7. Cagatay Candan, M. Alper Kutay, and Haldun M. Ozaktas. The discrete fractional Fourier transform. IEEE Transactions on Signal Processing, 48:1329-1337, 2000.
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8. Samil Yetik, M. Alper Kutay, and Haldun M. Ozaktas. Image representation and compression with the fractional Fourier transform. Optics Communications, 197:275-278, 2001.
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9. A. E. Cetin, H. Ozaktas, and H. M. Ozaktas. Resolution enhancement of low resolution wavefields with POCS algorithm. Electronics Letters, 39:1808-1810, 2003.
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10. M. Gunhan Ertosun, Haluk Atli, Haldun M. Ozaktas, and Billur Barshan. Complex signal recovery from multiple fractional Fourier-transform intensities. Applied Optics, 44:4902-4908, 2005.
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11. H. E. Guven, H. M. Ozaktas, A. E. Cetin, and B. Barshan. Signal recovery from partial fractional Fourier domain information and its applications. IET Signal Processing, 2:15-25, 2008.
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The fractional Fourier transform (optics) / Kesirli Fourier dönüşümü (optik)

1. David Mendlovic, Zeev Zalevsky, and Haldun M. Ozaktas. Applications of the fractional Fourier transform to optical pattern recognition. In Francis T. S. Yu and Suganda Jutamulia, editors, Optical Pattern Recognition, pages 89-125, Cambridge University Press, Cambridge, 1998. Invited.
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2. Haldun M. Ozaktas and David Mendlovic. Fractional Fourier transform as a tool for analyzing beam propagation and spherical mirror resonators. Optics Letters, 19:1678-1680, 1994.
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3. Haldun M. Ozaktas and David Mendlovic. Fractional Fourier optics. Journal of the Optical Society of America A, 12:743-751, 1995.
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4. Haldun M. Ozaktas and David Mendlovic. Every Fourier optical system is equivalent to consecutive fractional-Fourier-domain filtering. Applied Optics, 35:3167-3170, 1996.
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5. Haldun M. Ozaktas and M. Fatih Erden. Relationships among ray optical, Gaussian beam, and fractional Fourier transform descriptions of first-order optical systems. Optics Communications, 143:75-86, 1997.
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Linear canonical transforms / Doğrusal kanonik dönüşümler

1. Billur Barshan, M. Alper Kutay, and Haldun M. Ozaktas. Optimal filtering with linear canonical transformations. Optics Communications, 135:32-36, 1997.
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2. Aysegul Sahin, Haldun M. Ozaktas, and David Mendlovic. Optical implementations of two-dimensional fractional Fourier transforms and linear canonical transforms with arbitrary parameters. Applied Optics, 37:2130-2141, 1998.
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3. Haldun M. Ozaktas, Aykut Koc, Ilkay Sari, and M. Alper Kutay. Efficient computation of quadratic-phase integrals in optics. Optics Letters, 31:35-37, 2006.
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4. Aykut Koc, Haldun M. Ozaktas, Cagatay Candan, and M. Alper Kutay. Digital computation of linear canonical transforms. IEEE Transactions on Signal Processing, 56:2383-2394, 2008.
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5. Figen S. Oktem and Haldun M. Ozaktas. Exact relation between continuous and discrete linear canonical transforms. IEEE Signal Processing Letters, 16:727-730, 2009.
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6. Figen S. Oktem and Haldun M. Ozaktas. Equivalence of linear canonical transform domains to fractional Fourier domains and the bicanonical width product: a generalization of the space–bandwidth product. Journal of the Optical Society of America A, 27:1885-1895, 2010.
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Other / Diğer

1. Haldun M. Ozaktas. On approximating sums by maximums and vice versa. International Journal of Electrical Engineering Education, 31:152-154, 1994.
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