A. Stern and B. Javidi, "Analysis of practical sampling and reconstruction from Fresnel fields," Opt. Eng. 43, 239-250 (2004).

[CrossRef]

A. Stern and B. Javidi, "General sampling theorem and application in digital holography," in Proc. SPIE 5557, 110-123 (2004).

[CrossRef]

A. Stern and B. Javidi, "Sampling in the light of Wigner distribution," J. Opt. Soc. Am. A 21, 360-366 (2004); A. Stern and B. Javidi, "Sampling in the light of Wigner distribution," J. Opt. Soc. Am. A errata 21, 2038 (2004).

[CrossRef]

D. Mas, J. Perez, C. Hernandez, C. Vazquez, J. J. Miret, and C. Illueca, "Fast numerical calculation of Fresnel patterns in convergent systems," Opt. Commun. 227, 245-258 (2003).

[CrossRef]

B. Javidi, E. Tajahuerce, and O. Matoba, "Shift-invariant three-dimensional object recognition by means of digital holography," Appl. Opt. 40, 3877-3886 (2001).

[CrossRef]

Y. Frauel, E. Tajahuerce, M. A. Castro, and B. Javidi, "Distortion-tolerant three-dimensional object recognition with digital holography," Appl. Opt. 40, 3887-3893 (2001).

[CrossRef]

K. Grochenig, Foundation of Time-frequency Analysis (Birkhäuser, 2001).

M. Unser, "Sampling—50 years after Shannon," Proc. IEEE 88, 569-587 (2000).

[CrossRef]

L. Xu, K. Miao, and A. Asundi, "Properties of digital holography based on in-line configuration," Opt. Eng. 39, 3214-3219 (2000).

[CrossRef]

B. Javidi and E. Tajahuerce, "Three-dimensional object recognition by use of digital holography," Opt. Lett. 25, 610-612 (2000).

[CrossRef]

Z. Zalevsky, D. Mendlovic, and A. W. Lohmann, "Understanding superresolution in Wigner space," J. Opt. Soc. Am. A 17, 2422-2430 (2000).

[CrossRef]

L. Onural, "Sampling of the diffraction field," Appl. Opt. 39, 5929-5935 (2000).

[CrossRef]

A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, and C. Ferreira, "Space-bandwidth product of optical signals and systems," J. Opt. Soc. Am. A 13, 470-473 (1996).

[CrossRef]

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).

W. W. Smith and J. M. Smith, Handbook of Real-Time Fast Fourier Transforms (IEEE, 1995).

[CrossRef]

M. Sypek, "Light propagation in the Fresnel region. New numerical approach," Opt. Commun. 116, 43-48 (1995).

[CrossRef]

S. Mann and S. Haykin, "The chirplet transform: physical considerations," IEEE Trans. Signal Process. 43, 2745-2761 (1995).

[CrossRef]

A. Gori, "Fresnel transform and sampling theorem," Opt. Commun. 39, 293-297 (1981).

[CrossRef]

D. Slepian and H. O. Pollak, "Prolate spheroidal wave functions, Fourier analysis and uncertainty, I," Bell Syst. Tech. J. 40, 43-64 (1961).

D. Gabor, Theory of communication, J. Inst. Electr. Eng., Part 3 93, 429-457 (1946).

E. Wigner, "On the quantum correction for thermodynamic equilibrium," Phys. Rev. 40, 749-759 (1932).

[CrossRef]

J. M. Whittaker, "The Fourier theory of cardinal functions," Proc. Edinb. Math. Soc. 1, 169-176 (1929).

[CrossRef]

L. Xu, K. Miao, and A. Asundi, "Properties of digital holography based on in-line configuration," Opt. Eng. 39, 3214-3219 (2000).

[CrossRef]

A. Riazi, O. P. Gandhi, and D. A. Christensen, "Efficient FFT computation of plano-plano interferometer modes for a wide range of Fresnel numbers," Opt. Acta 27, 529-535 (1980).

[CrossRef]

D. Gabor, Theory of communication, J. Inst. Electr. Eng., Part 3 93, 429-457 (1946).

A. Riazi, O. P. Gandhi, and D. A. Christensen, "Efficient FFT computation of plano-plano interferometer modes for a wide range of Fresnel numbers," Opt. Acta 27, 529-535 (1980).

[CrossRef]

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).

A. Gori, "Fresnel transform and sampling theorem," Opt. Commun. 39, 293-297 (1981).

[CrossRef]

K. Grochenig, Foundation of Time-frequency Analysis (Birkhäuser, 2001).

S. Mann and S. Haykin, "The chirplet transform: physical considerations," IEEE Trans. Signal Process. 43, 2745-2761 (1995).

[CrossRef]

D. Mas, J. Perez, C. Hernandez, C. Vazquez, J. J. Miret, and C. Illueca, "Fast numerical calculation of Fresnel patterns in convergent systems," Opt. Commun. 227, 245-258 (2003).

[CrossRef]

D. Mas, J. Perez, C. Hernandez, C. Vazquez, J. J. Miret, and C. Illueca, "Fast numerical calculation of Fresnel patterns in convergent systems," Opt. Commun. 227, 245-258 (2003).

[CrossRef]

A. Stern and B. Javidi, "Analysis of practical sampling and reconstruction from Fresnel fields," Opt. Eng. 43, 239-250 (2004).

[CrossRef]

A. Stern and B. Javidi, "General sampling theorem and application in digital holography," in Proc. SPIE 5557, 110-123 (2004).

[CrossRef]

A. Stern and B. Javidi, "Sampling in the light of Wigner distribution," J. Opt. Soc. Am. A 21, 360-366 (2004); A. Stern and B. Javidi, "Sampling in the light of Wigner distribution," J. Opt. Soc. Am. A errata 21, 2038 (2004).

[CrossRef]

Y. Frauel, E. Tajahuerce, M. A. Castro, and B. Javidi, "Distortion-tolerant three-dimensional object recognition with digital holography," Appl. Opt. 40, 3887-3893 (2001).

[CrossRef]

B. Javidi, E. Tajahuerce, and O. Matoba, "Shift-invariant three-dimensional object recognition by means of digital holography," Appl. Opt. 40, 3877-3886 (2001).

[CrossRef]

B. Javidi and E. Tajahuerce, "Three-dimensional object recognition by use of digital holography," Opt. Lett. 25, 610-612 (2000).

[CrossRef]

S. Kopeika, A System Engineering Approach to Imaging (SPIE, 1998).

Z. Zalevsky, D. Mendlovic, and A. W. Lohmann, "Understanding superresolution in Wigner space," J. Opt. Soc. Am. A 17, 2422-2430 (2000).

[CrossRef]

D. Mendlovic, A. W. Lohmann, and Z. Zalevsky, "Space-bandwidth product adaptation and its application to super resolution: examples," J. Opt. Soc. Am. A 14, 563-567 (1997).

[CrossRef]

A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, and C. Ferreira, "Space-bandwidth product of optical signals and systems," J. Opt. Soc. Am. A 13, 470-473 (1996).

[CrossRef]

A. W. Lohmann, "Image rotation, Wigner distribution, and fractional Fourier transform," J. Opt. Soc. Am. A 10, 2181-2186 (1993).

[CrossRef]

S. Mann and S. Haykin, "The chirplet transform: physical considerations," IEEE Trans. Signal Process. 43, 2745-2761 (1995).

[CrossRef]

D. Mas, J. Perez, C. Hernandez, C. Vazquez, J. J. Miret, and C. Illueca, "Fast numerical calculation of Fresnel patterns in convergent systems," Opt. Commun. 227, 245-258 (2003).

[CrossRef]

Z. Zalevsky, D. Mendlovic, and A. W. Lohmann, "Understanding superresolution in Wigner space," J. Opt. Soc. Am. A 17, 2422-2430 (2000).

[CrossRef]

D. Mendlovic, A. W. Lohmann, and Z. Zalevsky, "Space-bandwidth product adaptation and its application to super resolution: examples," J. Opt. Soc. Am. A 14, 563-567 (1997).

[CrossRef]

A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, and C. Ferreira, "Space-bandwidth product of optical signals and systems," J. Opt. Soc. Am. A 13, 470-473 (1996).

[CrossRef]

L. Xu, K. Miao, and A. Asundi, "Properties of digital holography based on in-line configuration," Opt. Eng. 39, 3214-3219 (2000).

[CrossRef]

D. Mas, J. Perez, C. Hernandez, C. Vazquez, J. J. Miret, and C. Illueca, "Fast numerical calculation of Fresnel patterns in convergent systems," Opt. Commun. 227, 245-258 (2003).

[CrossRef]

D. Mas, J. Perez, C. Hernandez, C. Vazquez, J. J. Miret, and C. Illueca, "Fast numerical calculation of Fresnel patterns in convergent systems," Opt. Commun. 227, 245-258 (2003).

[CrossRef]

D. Slepian and H. O. Pollak, "Prolate spheroidal wave functions, Fourier analysis and uncertainty, I," Bell Syst. Tech. J. 40, 43-64 (1961).

A. Riazi, O. P. Gandhi, and D. A. Christensen, "Efficient FFT computation of plano-plano interferometer modes for a wide range of Fresnel numbers," Opt. Acta 27, 529-535 (1980).

[CrossRef]

D. Slepian and H. O. Pollak, "Prolate spheroidal wave functions, Fourier analysis and uncertainty, I," Bell Syst. Tech. J. 40, 43-64 (1961).

W. W. Smith and J. M. Smith, Handbook of Real-Time Fast Fourier Transforms (IEEE, 1995).

[CrossRef]

W. W. Smith and J. M. Smith, Handbook of Real-Time Fast Fourier Transforms (IEEE, 1995).

[CrossRef]

A. Stern and B. Javidi, "Analysis of practical sampling and reconstruction from Fresnel fields," Opt. Eng. 43, 239-250 (2004).

[CrossRef]

A. Stern and B. Javidi, "General sampling theorem and application in digital holography," in Proc. SPIE 5557, 110-123 (2004).

[CrossRef]

A. Stern and B. Javidi, "Sampling in the light of Wigner distribution," J. Opt. Soc. Am. A 21, 360-366 (2004); A. Stern and B. Javidi, "Sampling in the light of Wigner distribution," J. Opt. Soc. Am. A errata 21, 2038 (2004).

[CrossRef]

M. Sypek, "Light propagation in the Fresnel region. New numerical approach," Opt. Commun. 116, 43-48 (1995).

[CrossRef]

Y. Frauel, E. Tajahuerce, M. A. Castro, and B. Javidi, "Distortion-tolerant three-dimensional object recognition with digital holography," Appl. Opt. 40, 3887-3893 (2001).

[CrossRef]

B. Javidi, E. Tajahuerce, and O. Matoba, "Shift-invariant three-dimensional object recognition by means of digital holography," Appl. Opt. 40, 3877-3886 (2001).

[CrossRef]

B. Javidi and E. Tajahuerce, "Three-dimensional object recognition by use of digital holography," Opt. Lett. 25, 610-612 (2000).

[CrossRef]

M. Unser, "Sampling—50 years after Shannon," Proc. IEEE 88, 569-587 (2000).

[CrossRef]

D. Mas, J. Perez, C. Hernandez, C. Vazquez, J. J. Miret, and C. Illueca, "Fast numerical calculation of Fresnel patterns in convergent systems," Opt. Commun. 227, 245-258 (2003).

[CrossRef]

J. M. Whittaker, "The Fourier theory of cardinal functions," Proc. Edinb. Math. Soc. 1, 169-176 (1929).

[CrossRef]

E. Wigner, "On the quantum correction for thermodynamic equilibrium," Phys. Rev. 40, 749-759 (1932).

[CrossRef]

L. Xu, K. Miao, and A. Asundi, "Properties of digital holography based on in-line configuration," Opt. Eng. 39, 3214-3219 (2000).

[CrossRef]

Z. Zalevsky, D. Mendlovic, and A. W. Lohmann, "Understanding superresolution in Wigner space," J. Opt. Soc. Am. A 17, 2422-2430 (2000).

[CrossRef]

D. Mendlovic, A. W. Lohmann, and Z. Zalevsky, "Space-bandwidth product adaptation and its application to super resolution: examples," J. Opt. Soc. Am. A 14, 563-567 (1997).

[CrossRef]

A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, and C. Ferreira, "Space-bandwidth product of optical signals and systems," J. Opt. Soc. Am. A 13, 470-473 (1996).

[CrossRef]

U. Schnars and W. Juptner, "Direct recording of holograms by a CCD target and numerical reconstruction," Appl. Opt. 33, 179-181 (1994).

[CrossRef]
[PubMed]

Y. Frauel, E. Tajahuerce, M. A. Castro, and B. Javidi, "Distortion-tolerant three-dimensional object recognition with digital holography," Appl. Opt. 40, 3887-3893 (2001).

[CrossRef]

B. Javidi, E. Tajahuerce, and O. Matoba, "Shift-invariant three-dimensional object recognition by means of digital holography," Appl. Opt. 40, 3877-3886 (2001).

[CrossRef]

E. A. Szilkas and A. E. Siegman, "Mode calculations in unstable resonators with flowing saturable gain. II. Fast Fourier transform method," Appl. Opt. 14, 1874-1879 (1975).

[CrossRef]

L. Onural, "Sampling of the diffraction field," Appl. Opt. 39, 5929-5935 (2000).

[CrossRef]

D. Slepian and H. O. Pollak, "Prolate spheroidal wave functions, Fourier analysis and uncertainty, I," Bell Syst. Tech. J. 40, 43-64 (1961).

S. Mann and S. Haykin, "The chirplet transform: physical considerations," IEEE Trans. Signal Process. 43, 2745-2761 (1995).

[CrossRef]

D. Gabor, Theory of communication, J. Inst. Electr. Eng., Part 3 93, 429-457 (1946).

A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, and C. Ferreira, "Space-bandwidth product of optical signals and systems," J. Opt. Soc. Am. A 13, 470-473 (1996).

[CrossRef]

Z. Zalevsky, D. Mendlovic, and A. W. Lohmann, "Understanding superresolution in Wigner space," J. Opt. Soc. Am. A 17, 2422-2430 (2000).

[CrossRef]

A. W. Lohmann, "Image rotation, Wigner distribution, and fractional Fourier transform," J. Opt. Soc. Am. A 10, 2181-2186 (1993).

[CrossRef]

V. Arrizon and J. Ojeda-Castaneda, "Irradiance at Fresnel planes of a phase grating," J. Opt. Soc. Am. A 9, 1801-1806 (1992).

[CrossRef]

A. Stern and B. Javidi, "Sampling in the light of Wigner distribution," J. Opt. Soc. Am. A 21, 360-366 (2004); A. Stern and B. Javidi, "Sampling in the light of Wigner distribution," J. Opt. Soc. Am. A errata 21, 2038 (2004).

[CrossRef]

D. Mendlovic, A. W. Lohmann, and Z. Zalevsky, "Space-bandwidth product adaptation and its application to super resolution: examples," J. Opt. Soc. Am. A 14, 563-567 (1997).

[CrossRef]

P. B. Catrysse and B. A. Wandell, "Optical efficiency of image sensor pixels," J. Opt. Soc. Am. A 19, 1610-1620 (2002).

[CrossRef]

A. Riazi, O. P. Gandhi, and D. A. Christensen, "Efficient FFT computation of plano-plano interferometer modes for a wide range of Fresnel numbers," Opt. Acta 27, 529-535 (1980).

[CrossRef]

M. Sypek, "Light propagation in the Fresnel region. New numerical approach," Opt. Commun. 116, 43-48 (1995).

[CrossRef]

D. Mas, J. Perez, C. Hernandez, C. Vazquez, J. J. Miret, and C. Illueca, "Fast numerical calculation of Fresnel patterns in convergent systems," Opt. Commun. 227, 245-258 (2003).

[CrossRef]

A. Gori, "Fresnel transform and sampling theorem," Opt. Commun. 39, 293-297 (1981).

[CrossRef]

L. Xu, K. Miao, and A. Asundi, "Properties of digital holography based on in-line configuration," Opt. Eng. 39, 3214-3219 (2000).

[CrossRef]

A. Stern and B. Javidi, "Analysis of practical sampling and reconstruction from Fresnel fields," Opt. Eng. 43, 239-250 (2004).

[CrossRef]

E. Wigner, "On the quantum correction for thermodynamic equilibrium," Phys. Rev. 40, 749-759 (1932).

[CrossRef]

J. M. Whittaker, "The Fourier theory of cardinal functions," Proc. Edinb. Math. Soc. 1, 169-176 (1929).

[CrossRef]

M. Unser, "Sampling—50 years after Shannon," Proc. IEEE 88, 569-587 (2000).

[CrossRef]

A. Stern and B. Javidi, "General sampling theorem and application in digital holography," in Proc. SPIE 5557, 110-123 (2004).

[CrossRef]

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).

S. Kopeika, A System Engineering Approach to Imaging (SPIE, 1998).

W. W. Smith and J. M. Smith, Handbook of Real-Time Fast Fourier Transforms (IEEE, 1995).

[CrossRef]

K. Grochenig, Foundation of Time-frequency Analysis (Birkhäuser, 2001).