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

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. 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]

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]

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]

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

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

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]

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

[CrossRef]

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

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

[CrossRef]

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

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. 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]

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, Optics and Information Theory (Wiley, 1976).

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

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]

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

[CrossRef]

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

[CrossRef]

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

[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. 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]

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]

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

[CrossRef]

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

[CrossRef]

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

[CrossRef]

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

[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]

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

[CrossRef]

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

[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]

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]

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. 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]

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]

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

[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]

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

[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]

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]

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]

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]

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

[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]

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

[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]

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

[CrossRef]

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

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

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.

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

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).

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).