R. Konsbruck, E. Telatar, and M. Vetterli, “On sampling and coding for distributed acoustic sensing,” IEEE Trans. Inf. Theory 58, 3198–3214 (2012).

[CrossRef]

B. Dulek and S. Gezici, “Cost minimization of measurement devices under estimation accuracy constraints in the presence of Gaussian noise,” Digit. Signal Process. 22, 828–840 (2012).

[CrossRef]

A. Özçelikkale and H. M. Ozaktas, “Representation of optical fields using finite numbers of bits,” Opt. Lett. 37, 2193–2195 (2012).

[CrossRef]

A. Özçelikkale, H. M. Ozaktas, and E. Arıkan, “Signal recovery with cost constrained measurements,” IEEE Trans. Signal Process. 58, 3607–3617 (2010).

[CrossRef]

S. Zhu, Y. Cai, and O. Korotkova, “Propagation factor of a stochastic electromagnetic Gaussian Schell-model beam,” Opt. Express 18, 12587–12598 (2010).

[CrossRef]

F. S. Oktem and H. M. Ozaktas, “Equivalence of linear canonical transform domains to fractional Fourier domains and the bicanonical width product: a generalization of the space–bandwidth product,” J. Opt. Soc. Am. A 27, 1885–1895 (2010).

[CrossRef]

A. Koç, H. M. Ozaktas, C. Candan, and M. A. Kutay, “Digital computation of linear canonical transforms,” IEEE Trans. Signal Process. 56, 2383–2394 (2008).

[CrossRef]

M. Migliore, “On electromagnetics and information theory,” IEEE Trans. Antennas Propag. 56, 3188–3200 (2008).

[CrossRef]

J. J. Healy, B. M. Hennelly, and J. T. Sheridan, “Additional sampling criterion for the linear canonical transform,” Opt. Lett. 33, 2599–2601 (2008).

[CrossRef]

H. M. Ozaktas, A. Koç, I. Sari, and M. A. Kutay, “Efficient computation of quadratic-phase integrals in optics,” Opt. Lett. 31, 35–37 (2006).

[CrossRef]

P. Réfrégier and J. Morio, “Shannon entropy of partially polarized and partially coherent light with Gaussian fluctuations,” J. Opt. Soc. Am. A 23, 3036–3044 (2006).

[CrossRef]

J. Xu and R. Janaswamy, “Electromagnetic degrees of freedom in 2-d scattering environments,” IEEE Trans. Antennas Propag. 54, 3882–3894 (2006).

[CrossRef]

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

[CrossRef]

J. Buescu, “Positive integral operators in unbounded domains,” J. Math. Anal. Appl. 296, 244–255 (2004).

[CrossRef]

A. Stern and B. Javidi, “Shannon number and information capacity of three-dimensional integral imaging,” J. Opt. Soc. Am. A 21, 1602–1612 (2004).

[CrossRef]

A. Thaning, P. Martinsson, M. Karelin, and A. T. Friberg, “Limits of diffractive optics by communication modes,” J. Opt. A 5, 153–158 (2003).

[CrossRef]

G. Gbur and E. Wolf, “The Rayleigh range of Gaussian Schell-model beams,” J. Mod. Opt. 48, 1735–1741 (2001).

[CrossRef]

F. Garcia, I. Lourtie, and J. Buescu, “L2(R) nonstationary processes and the sampling theorem,” IEEE Signal Process. Lett. 8, 117–119 (2001).

[CrossRef]

M. A. Neifeld, “Information, resolution, and space-bandwidth product,” Opt. Lett. 23, 1477–1479 (1998).

[CrossRef]

R. Barakat, “Some entropic aspects of optical diffraction imagery,” Opt. Commun. 156, 235–239 (1998).

[CrossRef]

R. Pierri and F. Soldovieri, “On the information content of the radiated fields in the near zone over bounded domains,” Inverse Probl. 14, 321–337 (1998).

[CrossRef]

M. S. Hughes, “Analysis of digitized wave-forms using Shannon entropy,” J. Acoust. Soc. Am. 93, 892–906 (1993).

[CrossRef]

D. Blacknell and C. J. Oliver, “Information-content of coherent images,” J. Phys. D 26, 1364–1370 (1993).

[CrossRef]

P. Jixiong, “Waist location and Rayleigh range for Gaussian Schell-model beams,” J. Opt. 22, 157–159 (1991).

[CrossRef]

O. Bucci and G. Franceschetti, “On the degrees of freedom of scattered fields,” IEEE Trans. Antennas Propag. 37, 918–926 (1989).

[CrossRef]

W. H. Carter and E. Wolf, “Correlation theory of wavefields generated by fluctuating, three-dimensional, scalar sources,” Opt. Acta 28, 245–259 (1981).

[CrossRef]

E. Collett and E. Wolf, “Beams generated by Gaussian quasi-homogeneous sources,” Opt. Commun. 32, 27–31 (1980).

[CrossRef]

F. Gori, “Collett-Wolf sources and multimode lasers,” Opt. Commun. 34, 301–305 (1980).

[CrossRef]

M. J. Bastiaans, “Wigner distribution function and its application to first-order optics,” J. Opt. Soc. Am. A 69, 1710–1716 (1979).

[CrossRef]

F. Gori and G. Guattari, “Shannon number and degrees of freedom of an image,” Opt. Commun. 7, 163–165 (1973).

[CrossRef]

T. W. Barret, “Structural information theory,” J. Acoust. Soc. Am. 54, 1092–1098 (1973).

[CrossRef]

W. A. Gardner, “A sampling theorem for nonstationary random processes,” IEEE Trans. Inf. Theory 18, 808–809 (1972).

[CrossRef]

A. Balakrishnan, “A note on the sampling principle for continuous signals,” IEEE Trans. Inf. Theory 3, 143–146 (1957).

[CrossRef]

D. MacKay, “Quantal aspects of scientific information,” Trans. IRE Prof. Group Inf. Theory 1, 60–80 (1953).

[CrossRef]

A. Özçelikkale, H. M. Ozaktas, and E. Arıkan, “Signal recovery with cost constrained measurements,” IEEE Trans. Signal Process. 58, 3607–3617 (2010).

[CrossRef]

A. Balakrishnan, “A note on the sampling principle for continuous signals,” IEEE Trans. Inf. Theory 3, 143–146 (1957).

[CrossRef]

T. W. Barret, “Structural information theory,” J. Acoust. Soc. Am. 54, 1092–1098 (1973).

[CrossRef]

D. Blacknell and C. J. Oliver, “Information-content of coherent images,” J. Phys. D 26, 1364–1370 (1993).

[CrossRef]

O. Bucci and G. Franceschetti, “On the degrees of freedom of scattered fields,” IEEE Trans. Antennas Propag. 37, 918–926 (1989).

[CrossRef]

J. Buescu, “Positive integral operators in unbounded domains,” J. Math. Anal. Appl. 296, 244–255 (2004).

[CrossRef]

F. Garcia, I. Lourtie, and J. Buescu, “L2(R) nonstationary processes and the sampling theorem,” IEEE Signal Process. Lett. 8, 117–119 (2001).

[CrossRef]

A. Koç, H. M. Ozaktas, C. Candan, and M. A. Kutay, “Digital computation of linear canonical transforms,” IEEE Trans. Signal Process. 56, 2383–2394 (2008).

[CrossRef]

W. H. Carter and E. Wolf, “Correlation theory of wavefields generated by fluctuating, three-dimensional, scalar sources,” Opt. Acta 28, 245–259 (1981).

[CrossRef]

E. Collett and E. Wolf, “Beams generated by Gaussian quasi-homogeneous sources,” Opt. Commun. 32, 27–31 (1980).

[CrossRef]

T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, 1991).

B. Dulek and S. Gezici, “Cost minimization of measurement devices under estimation accuracy constraints in the presence of Gaussian noise,” Digit. Signal Process. 22, 828–840 (2012).

[CrossRef]

B. Dulek and S. Gezici, “Average Fisher information maximisation in presence of cost-constrained measurements,” Electron. Lett. 47, 654–656 (2011).

[CrossRef]

O. Bucci and G. Franceschetti, “On the degrees of freedom of scattered fields,” IEEE Trans. Antennas Propag. 37, 918–926 (1989).

[CrossRef]

A. Thaning, P. Martinsson, M. Karelin, and A. T. Friberg, “Limits of diffractive optics by communication modes,” J. Opt. A 5, 153–158 (2003).

[CrossRef]

A. T. Friberg and J. Turunen, “Imaging of Gaussian–Schell model sources,” J. Opt. Soc. Am. A 5, 713–720 (1988).

[CrossRef]

A. T. Friberg and R. J. Sudol, “Propagation parameters of Gaussian Schell-model beams,” Opt. Commun. 41, 383–387 (1982).

[CrossRef]

D. Gabor, “Light and information,” in Progress in Optics, E. Wolf, ed. (Elsevier, 1961), Vol. I, pp. 109–153.

F. Garcia, I. Lourtie, and J. Buescu, “L2(R) nonstationary processes and the sampling theorem,” IEEE Signal Process. Lett. 8, 117–119 (2001).

[CrossRef]

W. A. Gardner, “A sampling theorem for nonstationary random processes,” IEEE Trans. Inf. Theory 18, 808–809 (1972).

[CrossRef]

G. Gbur and E. Wolf, “The Rayleigh range of Gaussian Schell-model beams,” J. Mod. Opt. 48, 1735–1741 (2001).

[CrossRef]

B. Dulek and S. Gezici, “Cost minimization of measurement devices under estimation accuracy constraints in the presence of Gaussian noise,” Digit. Signal Process. 22, 828–840 (2012).

[CrossRef]

B. Dulek and S. Gezici, “Average Fisher information maximisation in presence of cost-constrained measurements,” Electron. Lett. 47, 654–656 (2011).

[CrossRef]

F. Gori, “Collett-Wolf sources and multimode lasers,” Opt. Commun. 34, 301–305 (1980).

[CrossRef]

F. Gori and G. Guattari, “Shannon number and degrees of freedom of an image,” Opt. Commun. 7, 163–165 (1973).

[CrossRef]

F. Gori and G. Guattari, “Effects of coherence on the degrees of freedom of an image,” J. Opt. Soc. Am. 61, 36–39 (1971).

[CrossRef]

F. Gori, Advanced Topics in Shannon Sampling and Interpolation Theory (Springer-Verlag, 1993), pp. 37–83.

R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge University, 1990).

M. S. Hughes, “Analysis of digitized wave-forms using Shannon entropy,” J. Acoust. Soc. Am. 93, 892–906 (1993).

[CrossRef]

J. Xu and R. Janaswamy, “Electromagnetic degrees of freedom in 2-d scattering environments,” IEEE Trans. Antennas Propag. 54, 3882–3894 (2006).

[CrossRef]

P. Jixiong, “Waist location and Rayleigh range for Gaussian Schell-model beams,” J. Opt. 22, 157–159 (1991).

[CrossRef]

R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge University, 1990).

A. Thaning, P. Martinsson, M. Karelin, and A. T. Friberg, “Limits of diffractive optics by communication modes,” J. Opt. A 5, 153–158 (2003).

[CrossRef]

A. Koç, H. M. Ozaktas, C. Candan, and M. A. Kutay, “Digital computation of linear canonical transforms,” IEEE Trans. Signal Process. 56, 2383–2394 (2008).

[CrossRef]

H. M. Ozaktas, A. Koç, I. Sari, and M. A. Kutay, “Efficient computation of quadratic-phase integrals in optics,” Opt. Lett. 31, 35–37 (2006).

[CrossRef]

R. Konsbruck, E. Telatar, and M. Vetterli, “On sampling and coding for distributed acoustic sensing,” IEEE Trans. Inf. Theory 58, 3198–3214 (2012).

[CrossRef]

A. Koç, H. M. Ozaktas, C. Candan, and M. A. Kutay, “Digital computation of linear canonical transforms,” IEEE Trans. Signal Process. 56, 2383–2394 (2008).

[CrossRef]

H. M. Ozaktas, A. Koç, I. Sari, and M. A. Kutay, “Efficient computation of quadratic-phase integrals in optics,” Opt. Lett. 31, 35–37 (2006).

[CrossRef]

H. M. Ozaktas, S. Yüksel, and M. A. Kutay, “Linear algebraic theory of partial coherence: discrete fields and measures of partial coherence,” J. Opt. Soc. Am. A 19, 1563–1571 (2002).

[CrossRef]

H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001).

F. Garcia, I. Lourtie, and J. Buescu, “L2(R) nonstationary processes and the sampling theorem,” IEEE Signal Process. Lett. 8, 117–119 (2001).

[CrossRef]

D. MacKay, “Quantal aspects of scientific information,” Trans. IRE Prof. Group Inf. Theory 1, 60–80 (1953).

[CrossRef]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

A. Thaning, P. Martinsson, M. Karelin, and A. T. Friberg, “Limits of diffractive optics by communication modes,” J. Opt. A 5, 153–158 (2003).

[CrossRef]

D. Mendlovic and A. W. Lohmann, “Space-bandwidth product adaptation and its application to superresolution: fundamentals,” J. Opt. Soc. Am. A 14, 558–562 (1997).

[CrossRef]

A. Lohmann, R. 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]

M. Migliore, “On electromagnetics and information theory,” IEEE Trans. Antennas Propag. 56, 3188–3200 (2008).

[CrossRef]

F. Oktem and H. Ozaktas, “Exact relation between continuous and discrete linear canonical transforms,” IEEE Signal Process. Lett. 16, 727–730 (2009).

[CrossRef]

D. Blacknell and C. J. Oliver, “Information-content of coherent images,” J. Phys. D 26, 1364–1370 (1993).

[CrossRef]

F. Oktem and H. Ozaktas, “Exact relation between continuous and discrete linear canonical transforms,” IEEE Signal Process. Lett. 16, 727–730 (2009).

[CrossRef]

A. Özçelikkale and H. M. Ozaktas, “Representation of optical fields using finite numbers of bits,” Opt. Lett. 37, 2193–2195 (2012).

[CrossRef]

A. Özçelikkale, H. M. Ozaktas, and E. Arıkan, “Signal recovery with cost constrained measurements,” IEEE Trans. Signal Process. 58, 3607–3617 (2010).

[CrossRef]

F. S. Oktem and H. M. Ozaktas, “Equivalence of linear canonical transform domains to fractional Fourier domains and the bicanonical width product: a generalization of the space–bandwidth product,” J. Opt. Soc. Am. A 27, 1885–1895 (2010).

[CrossRef]

A. Koç, H. M. Ozaktas, C. Candan, and M. A. Kutay, “Digital computation of linear canonical transforms,” IEEE Trans. Signal Process. 56, 2383–2394 (2008).

[CrossRef]

H. M. Ozaktas, A. Koç, I. Sari, and M. A. Kutay, “Efficient computation of quadratic-phase integrals in optics,” Opt. Lett. 31, 35–37 (2006).

[CrossRef]

H. M. Ozaktas, S. Yüksel, and M. A. Kutay, “Linear algebraic theory of partial coherence: discrete fields and measures of partial coherence,” J. Opt. Soc. Am. A 19, 1563–1571 (2002).

[CrossRef]

H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001).

R. Pierri and F. Soldovieri, “On the information content of the radiated fields in the near zone over bounded domains,” Inverse Probl. 14, 321–337 (1998).

[CrossRef]

R. Pierri and F. Soldovieri, “On the information content of the radiated fields in the near zone over bounded domains,” Inverse Probl. 14, 321–337 (1998).

[CrossRef]

A. T. Friberg and R. J. Sudol, “Propagation parameters of Gaussian Schell-model beams,” Opt. Commun. 41, 383–387 (1982).

[CrossRef]

R. Konsbruck, E. Telatar, and M. Vetterli, “On sampling and coding for distributed acoustic sensing,” IEEE Trans. Inf. Theory 58, 3198–3214 (2012).

[CrossRef]

A. Thaning, P. Martinsson, M. Karelin, and A. T. Friberg, “Limits of diffractive optics by communication modes,” J. Opt. A 5, 153–158 (2003).

[CrossRef]

T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, 1991).

H. L. Van Trees, Detection, Estimation and Modulation Theory, Part I (Wiley, 2001).

R. Konsbruck, E. Telatar, and M. Vetterli, “On sampling and coding for distributed acoustic sensing,” IEEE Trans. Inf. Theory 58, 3198–3214 (2012).

[CrossRef]

G. Gbur and E. Wolf, “The Rayleigh range of Gaussian Schell-model beams,” J. Mod. Opt. 48, 1735–1741 (2001).

[CrossRef]

A. Starikov and E. Wolf, “Coherent-mode representation of Gaussian–Schell model sources and of their radiation fields,” J. Opt. Soc. Am. A 72, 923–928 (1982).

[CrossRef]

W. H. Carter and E. Wolf, “Correlation theory of wavefields generated by fluctuating, three-dimensional, scalar sources,” Opt. Acta 28, 245–259 (1981).

[CrossRef]

E. Collett and E. Wolf, “Beams generated by Gaussian quasi-homogeneous sources,” Opt. Commun. 32, 27–31 (1980).

[CrossRef]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

K. B. Wolf, Integral Transforms in Science and Engineering (Plenum, 1979).

J. Xu and R. Janaswamy, “Electromagnetic degrees of freedom in 2-d scattering environments,” IEEE Trans. Antennas Propag. 54, 3882–3894 (2006).

[CrossRef]

F. T. Yu, Entropy and Information Optics (Marcel Dekker, 2000).

F. T. Yu, Optics and Information Theory (Wiley, 1976).

A. Lohmann, R. 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]

H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001).

B. Dulek and S. Gezici, “Cost minimization of measurement devices under estimation accuracy constraints in the presence of Gaussian noise,” Digit. Signal Process. 22, 828–840 (2012).

[CrossRef]

B. Dulek and S. Gezici, “Average Fisher information maximisation in presence of cost-constrained measurements,” Electron. Lett. 47, 654–656 (2011).

[CrossRef]

F. Garcia, I. Lourtie, and J. Buescu, “L2(R) nonstationary processes and the sampling theorem,” IEEE Signal Process. Lett. 8, 117–119 (2001).

[CrossRef]

F. Oktem and H. Ozaktas, “Exact relation between continuous and discrete linear canonical transforms,” IEEE Signal Process. Lett. 16, 727–730 (2009).

[CrossRef]

M. Migliore, “On electromagnetics and information theory,” IEEE Trans. Antennas Propag. 56, 3188–3200 (2008).

[CrossRef]

O. Bucci and G. Franceschetti, “On the degrees of freedom of scattered fields,” IEEE Trans. Antennas Propag. 37, 918–926 (1989).

[CrossRef]

J. Xu and R. Janaswamy, “Electromagnetic degrees of freedom in 2-d scattering environments,” IEEE Trans. Antennas Propag. 54, 3882–3894 (2006).

[CrossRef]

A. Balakrishnan, “A note on the sampling principle for continuous signals,” IEEE Trans. Inf. Theory 3, 143–146 (1957).

[CrossRef]

W. A. Gardner, “A sampling theorem for nonstationary random processes,” IEEE Trans. Inf. Theory 18, 808–809 (1972).

[CrossRef]

R. Konsbruck, E. Telatar, and M. Vetterli, “On sampling and coding for distributed acoustic sensing,” IEEE Trans. Inf. Theory 58, 3198–3214 (2012).

[CrossRef]

A. Özçelikkale, H. M. Ozaktas, and E. Arıkan, “Signal recovery with cost constrained measurements,” IEEE Trans. Signal Process. 58, 3607–3617 (2010).

[CrossRef]

A. Koç, H. M. Ozaktas, C. Candan, and M. A. Kutay, “Digital computation of linear canonical transforms,” IEEE Trans. Signal Process. 56, 2383–2394 (2008).

[CrossRef]

R. Pierri and F. Soldovieri, “On the information content of the radiated fields in the near zone over bounded domains,” Inverse Probl. 14, 321–337 (1998).

[CrossRef]

T. W. Barret, “Structural information theory,” J. Acoust. Soc. Am. 54, 1092–1098 (1973).

[CrossRef]

M. S. Hughes, “Analysis of digitized wave-forms using Shannon entropy,” J. Acoust. Soc. Am. 93, 892–906 (1993).

[CrossRef]

J. Buescu, “Positive integral operators in unbounded domains,” J. Math. Anal. Appl. 296, 244–255 (2004).

[CrossRef]

G. Gbur and E. Wolf, “The Rayleigh range of Gaussian Schell-model beams,” J. Mod. Opt. 48, 1735–1741 (2001).

[CrossRef]

P. Jixiong, “Waist location and Rayleigh range for Gaussian Schell-model beams,” J. Opt. 22, 157–159 (1991).

[CrossRef]

A. Thaning, P. Martinsson, M. Karelin, and A. T. Friberg, “Limits of diffractive optics by communication modes,” J. Opt. A 5, 153–158 (2003).

[CrossRef]

G. T. D. Francia, “Resolving power and information,” J. Opt. Soc. Am. 45, 497–501 (1955).

[CrossRef]

W. Lukozs, “Optical systems with resolving powers exceeding the classical limit,” J. Opt. Soc. Am. 56, 1463–1472 (1966).

[CrossRef]

G. T. Di Francia, “Degrees of freedom of an image,” J. Opt. Soc. Am. 59, 799–804 (1969).

[CrossRef]

J. T. Winthrop, “Propagation of structural information in optical wave fields,” J. Opt. Soc. Am. 61, 15–30 (1971).

[CrossRef]

F. Gori and G. Guattari, “Effects of coherence on the degrees of freedom of an image,” J. Opt. Soc. Am. 61, 36–39 (1971).

[CrossRef]

A. Starikov, “Effective number of degrees of freedom of partially coherent sources,” J. Opt. Soc. Am. 72, 1538–1544 (1982).

[CrossRef]

W. Lukozs, “Optical systems with resolving powers exceeding the classical limit II,” J. Opt. Soc. Am. 57, 932–941 (1967).

[CrossRef]

A. Stern and B. Javidi, “Shannon number and information capacity of three-dimensional integral imaging,” J. Opt. Soc. Am. A 21, 1602–1612 (2004).

[CrossRef]

P. Réfrégier and J. Morio, “Shannon entropy of partially polarized and partially coherent light with Gaussian fluctuations,” J. Opt. Soc. Am. A 23, 3036–3044 (2006).

[CrossRef]

L. Onural, “Exact analysis of the effects of sampling of the scalar diffraction field,” J. Opt. Soc. Am. A 24, 359–367 (2007).

[CrossRef]

E. D. Micheli and G. A. Viano, “Inverse optical imaging viewed as a backward channel communication problem,” J. Opt. Soc. Am. A 26, 1393–1402 (2009).

[CrossRef]

F. S. Oktem and H. M. Ozaktas, “Equivalence of linear canonical transform domains to fractional Fourier domains and the bicanonical width product: a generalization of the space–bandwidth product,” J. Opt. Soc. Am. A 27, 1885–1895 (2010).

[CrossRef]

J. J. Healy and J. T. Sheridan, “Space–bandwidth ratio as a means of choosing between Fresnel and other linear canonical transform algorithms,” J. Opt. Soc. Am. A 28, 786–790 (2011).

[CrossRef]

H. M. Ozaktas, S. Yüksel, and M. A. Kutay, “Linear algebraic theory of partial coherence: discrete fields and measures of partial coherence,” J. Opt. Soc. Am. A 19, 1563–1571 (2002).

[CrossRef]

R. Piestun and D. A. B. Miller, “Electromagnetic degrees of freedom of an optical system,” J. Opt. Soc. Am. A 17, 892–902 (2000).

[CrossRef]

D. Mendlovic and A. W. Lohmann, “Space-bandwidth product adaptation and its application to superresolution: fundamentals,” J. Opt. Soc. Am. A 14, 558–562 (1997).

[CrossRef]

G. Newsam and R. Barakat, “Essential dimension as a well-defined number of degrees of freedom of finite-convolution operators appearing in optics,” J. Opt. Soc. Am. A 2, 2040–2045 (1985).

[CrossRef]

M. J. Bastiaans, “Uncertainty principle and informational entropy for partially coherent light,” J. Opt. Soc. Am. A 3, 1243–1246 (1986).

[CrossRef]

A. T. Friberg and J. Turunen, “Imaging of Gaussian–Schell model sources,” J. Opt. Soc. Am. A 5, 713–720 (1988).

[CrossRef]

A. Lohmann, R. 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. Starikov and E. Wolf, “Coherent-mode representation of Gaussian–Schell model sources and of their radiation fields,” J. Opt. Soc. Am. A 72, 923–928 (1982).

[CrossRef]

M. J. Bastiaans, “Wigner distribution function and its application to first-order optics,” J. Opt. Soc. Am. A 69, 1710–1716 (1979).

[CrossRef]

D. Blacknell and C. J. Oliver, “Information-content of coherent images,” J. Phys. D 26, 1364–1370 (1993).

[CrossRef]

W. H. Carter and E. Wolf, “Correlation theory of wavefields generated by fluctuating, three-dimensional, scalar sources,” Opt. Acta 28, 245–259 (1981).

[CrossRef]

A. T. Friberg and R. J. Sudol, “Propagation parameters of Gaussian Schell-model beams,” Opt. Commun. 41, 383–387 (1982).

[CrossRef]

E. Collett and E. Wolf, “Beams generated by Gaussian quasi-homogeneous sources,” Opt. Commun. 32, 27–31 (1980).

[CrossRef]

F. Gori, “Collett-Wolf sources and multimode lasers,” Opt. Commun. 34, 301–305 (1980).

[CrossRef]

R. Barakat, “Some entropic aspects of optical diffraction imagery,” Opt. Commun. 156, 235–239 (1998).

[CrossRef]

F. Gori and G. Guattari, “Shannon number and degrees of freedom of an image,” Opt. Commun. 7, 163–165 (1973).

[CrossRef]

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

[CrossRef]

A. Özçelikkale and H. M. Ozaktas, “Representation of optical fields using finite numbers of bits,” Opt. Lett. 37, 2193–2195 (2012).

[CrossRef]

J. J. Healy, B. M. Hennelly, and J. T. Sheridan, “Additional sampling criterion for the linear canonical transform,” Opt. Lett. 33, 2599–2601 (2008).

[CrossRef]

H. M. Ozaktas, A. Koç, I. Sari, and M. A. Kutay, “Efficient computation of quadratic-phase integrals in optics,” Opt. Lett. 31, 35–37 (2006).

[CrossRef]

M. A. Neifeld, “Information, resolution, and space-bandwidth product,” Opt. Lett. 23, 1477–1479 (1998).

[CrossRef]

Q. Lin and Y. Cai, “Fractional Fourier transform for partially coherent Gaussian–Schell model beams,” Opt. Lett. 27, 1672–1674 (2002).

[CrossRef]

D. MacKay, “Quantal aspects of scientific information,” Trans. IRE Prof. Group Inf. Theory 1, 60–80 (1953).

[CrossRef]

D. Gabor, “Light and information,” in Progress in Optics, E. Wolf, ed. (Elsevier, 1961), Vol. I, pp. 109–153.

F. Gori, Advanced Topics in Shannon Sampling and Interpolation Theory (Springer-Verlag, 1993), pp. 37–83.

F. T. Yu, Optics and Information Theory (Wiley, 1976).

F. T. Yu, Entropy and Information Optics (Marcel Dekker, 2000).

H. L. Van Trees, Detection, Estimation and Modulation Theory, Part I (Wiley, 2001).

R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge University, 1990).

T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, 1991).

H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001).

K. B. Wolf, Integral Transforms in Science and Engineering (Plenum, 1979).

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).