L. Liu, Y. S. Jiang, H. Y. Wang, and Y. T. He, “Novel array configuration and its optimization for sparse aperture imaging systems,” Opt. Eng. 50, 053202 (2011).

[CrossRef]

Y. T. He, Y. S. Jiang, L. Liu, and C. W. Wang, “Passive interferometric array optimization based on redundant spacing calibration,” Opt. Express 17, 21598–21607 (2009).

[CrossRef]

R. J. Eastwood, A. M. Johnson, and A. H. Greenaway, “Calculation and correction of piston phase aberration in synthesis imaging,” J. Opt. Soc. Am. A 26, 195–205 (2009).

[CrossRef]

X. F. Zhu, F. Wu, Q. Y. Wu, and L. Qian, “Image restoration for sparse aperture systems based on wavelet-Wiener algorithm,” Proc. SPIE 7513, 75131B (2009).

[CrossRef]

D. Y. Wang, J. Han, H. C. Liu, S. Q. Tao, X. Y. Fu, and H. F. Guo, “Experimental study on imaging and image restoration of optical sparse aperture systems,” Opt. Eng. 46, 103201 (2007).

[CrossRef]

Y. S. Bae, S. I. Jin, and H. S. Lee, “Crosstalk-noise of volume holographic memory using fractional Fourier transform,” Proc. SPIE 6352, 63523O (2006).

[CrossRef]

N. K. Nishchal, J. Joseph, and K. Singh, “Securing information using fractional Fourier transform in digital holography,” Opt. Commun. 235, 253–259 (2004).

[CrossRef]

Y. Z. Wang, Y. P. Huo, and Y. L. Du, “Recognition of images with small differences based on fractional correlation,” Chin. J. Lasers 1, 328–331 (2004).

X. Yang, Q. Tan, and X. Wei, “Improved fast fractional-Fourier-transform algorithm,” J. Opt. Soc. Am. A 21, 1677–1681 (2004).

[CrossRef]

D. D. Dragoman and M. Dragoman, “Near and far optical beam characterization using fractional Fourier transform,” Opt. Commun. 141, 5–9 (1997).

[CrossRef]

M. A. Kutay, H. M. Ozaktas, O. Arikan, and L. Onaural, “Optimal filtering in fractional Fourier domains,” IEEE Trans. Signal Process. 45, 1129–1143 (1997).

[CrossRef]

S. T. Liu, J. D. Xu, Y. Zhang, and C. F. Li, “Optical implementations of the fractional Fourier transform using lenses,” Acta Opt. Sin. 15, 1405–1408 (1995).

A. H. Greenaway, “Self-calibrating dilute-aperture optics,” Proc. SPIE 1351, 738–748 (1990).

[CrossRef]

V. Namias, “The fractional order Fourier transform and its application to quantum mechanics,” J. Inst. Math. Appl. 25, 241–265 (1980).

[CrossRef]

M. A. Kutay, H. M. Ozaktas, O. Arikan, and L. Onaural, “Optimal filtering in fractional Fourier domains,” IEEE Trans. Signal Process. 45, 1129–1143 (1997).

[CrossRef]

Y. S. Bae, S. I. Jin, and H. S. Lee, “Crosstalk-noise of volume holographic memory using fractional Fourier transform,” Proc. SPIE 6352, 63523O (2006).

[CrossRef]

D. D. Dragoman and M. Dragoman, “Near and far optical beam characterization using fractional Fourier transform,” Opt. Commun. 141, 5–9 (1997).

[CrossRef]

D. D. Dragoman and M. Dragoman, “Near and far optical beam characterization using fractional Fourier transform,” Opt. Commun. 141, 5–9 (1997).

[CrossRef]

Y. Z. Wang, Y. P. Huo, and Y. L. Du, “Recognition of images with small differences based on fractional correlation,” Chin. J. Lasers 1, 328–331 (2004).

D. Y. Wang, J. Han, H. C. Liu, S. Q. Tao, X. Y. Fu, and H. F. Guo, “Experimental study on imaging and image restoration of optical sparse aperture systems,” Opt. Eng. 46, 103201 (2007).

[CrossRef]

D. Y. Wang, J. Han, H. C. Liu, S. Q. Tao, X. Y. Fu, and H. F. Guo, “Experimental study on imaging and image restoration of optical sparse aperture systems,” Opt. Eng. 46, 103201 (2007).

[CrossRef]

D. Y. Wang, J. Han, H. C. Liu, S. Q. Tao, X. Y. Fu, and H. F. Guo, “Experimental study on imaging and image restoration of optical sparse aperture systems,” Opt. Eng. 46, 103201 (2007).

[CrossRef]

L. Liu, Y. S. Jiang, H. Y. Wang, and Y. T. He, “Novel array configuration and its optimization for sparse aperture imaging systems,” Opt. Eng. 50, 053202 (2011).

[CrossRef]

Y. T. He, Y. S. Jiang, L. Liu, and C. W. Wang, “Passive interferometric array optimization based on redundant spacing calibration,” Opt. Express 17, 21598–21607 (2009).

[CrossRef]

Y. Z. Wang, Y. P. Huo, and Y. L. Du, “Recognition of images with small differences based on fractional correlation,” Chin. J. Lasers 1, 328–331 (2004).

L. Liu, Y. S. Jiang, H. Y. Wang, and Y. T. He, “Novel array configuration and its optimization for sparse aperture imaging systems,” Opt. Eng. 50, 053202 (2011).

[CrossRef]

Y. T. He, Y. S. Jiang, L. Liu, and C. W. Wang, “Passive interferometric array optimization based on redundant spacing calibration,” Opt. Express 17, 21598–21607 (2009).

[CrossRef]

Y. S. Bae, S. I. Jin, and H. S. Lee, “Crosstalk-noise of volume holographic memory using fractional Fourier transform,” Proc. SPIE 6352, 63523O (2006).

[CrossRef]

N. K. Nishchal, J. Joseph, and K. Singh, “Securing information using fractional Fourier transform in digital holography,” Opt. Commun. 235, 253–259 (2004).

[CrossRef]

M. A. Kutay, H. M. Ozaktas, O. Arikan, and L. Onaural, “Optimal filtering in fractional Fourier domains,” IEEE Trans. Signal Process. 45, 1129–1143 (1997).

[CrossRef]

Y. S. Bae, S. I. Jin, and H. S. Lee, “Crosstalk-noise of volume holographic memory using fractional Fourier transform,” Proc. SPIE 6352, 63523O (2006).

[CrossRef]

S. T. Liu, J. D. Xu, Y. Zhang, and C. F. Li, “Optical implementations of the fractional Fourier transform using lenses,” Acta Opt. Sin. 15, 1405–1408 (1995).

D. Y. Wang, J. Han, H. C. Liu, S. Q. Tao, X. Y. Fu, and H. F. Guo, “Experimental study on imaging and image restoration of optical sparse aperture systems,” Opt. Eng. 46, 103201 (2007).

[CrossRef]

L. Liu, Y. S. Jiang, H. Y. Wang, and Y. T. He, “Novel array configuration and its optimization for sparse aperture imaging systems,” Opt. Eng. 50, 053202 (2011).

[CrossRef]

Y. T. He, Y. S. Jiang, L. Liu, and C. W. Wang, “Passive interferometric array optimization based on redundant spacing calibration,” Opt. Express 17, 21598–21607 (2009).

[CrossRef]

S. T. Liu, J. D. Xu, Y. Zhang, and C. F. Li, “Optical implementations of the fractional Fourier transform using lenses,” Acta Opt. Sin. 15, 1405–1408 (1995).

H. M. Ozaktas, B. Barshan, D. Mendlovic, and L. Onural, “Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms,” J. Opt. Soc. Am. A 11, 547–559 (1994).

[CrossRef]

H. M. Ozaktas and D. Mendlovic, “Fourier transforms of fractional order and their optical interpretation,” Opt. Commun. 101, 163–169 (1993).

[CrossRef]

V. Namias, “The fractional order Fourier transform and its application to quantum mechanics,” J. Inst. Math. Appl. 25, 241–265 (1980).

[CrossRef]

N. K. Nishchal, J. Joseph, and K. Singh, “Securing information using fractional Fourier transform in digital holography,” Opt. Commun. 235, 253–259 (2004).

[CrossRef]

M. A. Kutay, H. M. Ozaktas, O. Arikan, and L. Onaural, “Optimal filtering in fractional Fourier domains,” IEEE Trans. Signal Process. 45, 1129–1143 (1997).

[CrossRef]

M. A. Kutay, H. M. Ozaktas, O. Arikan, and L. Onaural, “Optimal filtering in fractional Fourier domains,” IEEE Trans. Signal Process. 45, 1129–1143 (1997).

[CrossRef]

H. M. Ozaktas, B. Barshan, D. Mendlovic, and L. Onural, “Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms,” J. Opt. Soc. Am. A 11, 547–559 (1994).

[CrossRef]

H. M. Ozaktas and D. Mendlovic, “Fourier transforms of fractional order and their optical interpretation,” Opt. Commun. 101, 163–169 (1993).

[CrossRef]

X. F. Zhu, F. Wu, Q. Y. Wu, and L. Qian, “Image restoration for sparse aperture systems based on wavelet-Wiener algorithm,” Proc. SPIE 7513, 75131B (2009).

[CrossRef]

N. K. Nishchal, J. Joseph, and K. Singh, “Securing information using fractional Fourier transform in digital holography,” Opt. Commun. 235, 253–259 (2004).

[CrossRef]

F. J. Song, “Fractional Fourier transform and its optical implementation,” in Advanced Optical Information Processing, D. Zhai, ed. (Peking University, 1998), pp. 94–118.

D. Y. Wang, J. Han, H. C. Liu, S. Q. Tao, X. Y. Fu, and H. F. Guo, “Experimental study on imaging and image restoration of optical sparse aperture systems,” Opt. Eng. 46, 103201 (2007).

[CrossRef]

D. Y. Wang, J. Han, H. C. Liu, S. Q. Tao, X. Y. Fu, and H. F. Guo, “Experimental study on imaging and image restoration of optical sparse aperture systems,” Opt. Eng. 46, 103201 (2007).

[CrossRef]

L. Liu, Y. S. Jiang, H. Y. Wang, and Y. T. He, “Novel array configuration and its optimization for sparse aperture imaging systems,” Opt. Eng. 50, 053202 (2011).

[CrossRef]

Y. Z. Wang, Y. P. Huo, and Y. L. Du, “Recognition of images with small differences based on fractional correlation,” Chin. J. Lasers 1, 328–331 (2004).

X. F. Zhu, F. Wu, Q. Y. Wu, and L. Qian, “Image restoration for sparse aperture systems based on wavelet-Wiener algorithm,” Proc. SPIE 7513, 75131B (2009).

[CrossRef]

X. F. Zhu, F. Wu, Q. Y. Wu, and L. Qian, “Image restoration for sparse aperture systems based on wavelet-Wiener algorithm,” Proc. SPIE 7513, 75131B (2009).

[CrossRef]

S. T. Liu, J. D. Xu, Y. Zhang, and C. F. Li, “Optical implementations of the fractional Fourier transform using lenses,” Acta Opt. Sin. 15, 1405–1408 (1995).

S. T. Liu, J. D. Xu, Y. Zhang, and C. F. Li, “Optical implementations of the fractional Fourier transform using lenses,” Acta Opt. Sin. 15, 1405–1408 (1995).

X. F. Zhu, F. Wu, Q. Y. Wu, and L. Qian, “Image restoration for sparse aperture systems based on wavelet-Wiener algorithm,” Proc. SPIE 7513, 75131B (2009).

[CrossRef]

S. T. Liu, J. D. Xu, Y. Zhang, and C. F. Li, “Optical implementations of the fractional Fourier transform using lenses,” Acta Opt. Sin. 15, 1405–1408 (1995).

Y. Z. Wang, Y. P. Huo, and Y. L. Du, “Recognition of images with small differences based on fractional correlation,” Chin. J. Lasers 1, 328–331 (2004).

M. A. Kutay, H. M. Ozaktas, O. Arikan, and L. Onaural, “Optimal filtering in fractional Fourier domains,” IEEE Trans. Signal Process. 45, 1129–1143 (1997).

[CrossRef]

V. Namias, “The fractional order Fourier transform and its application to quantum mechanics,” J. Inst. Math. Appl. 25, 241–265 (1980).

[CrossRef]

H. M. Ozaktas, B. Barshan, D. Mendlovic, and L. Onural, “Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms,” J. Opt. Soc. Am. A 11, 547–559 (1994).

[CrossRef]

X. Yang, Q. Tan, and X. Wei, “Improved fast fractional-Fourier-transform algorithm,” J. Opt. Soc. Am. A 21, 1677–1681 (2004).

[CrossRef]

A. W. Lohmann, “Image rotation, Wigner rotation, and the fractional Fourier transform,” J. Opt. Soc. Am. A 10, 2181–2186 (1993).

[CrossRef]

R. J. Eastwood, A. M. Johnson, and A. H. Greenaway, “Calculation and correction of piston phase aberration in synthesis imaging,” J. Opt. Soc. Am. A 26, 195–205 (2009).

[CrossRef]

N. K. Nishchal, J. Joseph, and K. Singh, “Securing information using fractional Fourier transform in digital holography,” Opt. Commun. 235, 253–259 (2004).

[CrossRef]

H. M. Ozaktas and D. Mendlovic, “Fourier transforms of fractional order and their optical interpretation,” Opt. Commun. 101, 163–169 (1993).

[CrossRef]

D. D. Dragoman and M. Dragoman, “Near and far optical beam characterization using fractional Fourier transform,” Opt. Commun. 141, 5–9 (1997).

[CrossRef]

L. Liu, Y. S. Jiang, H. Y. Wang, and Y. T. He, “Novel array configuration and its optimization for sparse aperture imaging systems,” Opt. Eng. 50, 053202 (2011).

[CrossRef]

D. Y. Wang, J. Han, H. C. Liu, S. Q. Tao, X. Y. Fu, and H. F. Guo, “Experimental study on imaging and image restoration of optical sparse aperture systems,” Opt. Eng. 46, 103201 (2007).

[CrossRef]

A. H. Greenaway, “Self-calibrating dilute-aperture optics,” Proc. SPIE 1351, 738–748 (1990).

[CrossRef]

Y. S. Bae, S. I. Jin, and H. S. Lee, “Crosstalk-noise of volume holographic memory using fractional Fourier transform,” Proc. SPIE 6352, 63523O (2006).

[CrossRef]

X. F. Zhu, F. Wu, Q. Y. Wu, and L. Qian, “Image restoration for sparse aperture systems based on wavelet-Wiener algorithm,” Proc. SPIE 7513, 75131B (2009).

[CrossRef]

F. J. Song, “Fractional Fourier transform and its optical implementation,” in Advanced Optical Information Processing, D. Zhai, ed. (Peking University, 1998), pp. 94–118.