Abstract

The linear canonical transform describes the effect of first-order quadratic phase optical systems on a wave field. Several recent papers have developed sampling rules for the numerical approximation of the transform. However, sampling an analog function according to existing rules will not generally permit the reconstruction of the analog linear canonical transform of that function from its samples. To achieve this, an additional sampling criterion has been developed for sampling both the input and the output wave fields.

© 2008 Optical Society of America

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    [CrossRef]

2008 (2)

A. Koc, H. M. Ozaktas, C. Candan, and M. A. Kutay, IEEE Trans. Signal Process. 56, 2383 (2008).

J. J. Healy and J. T. Sheridan, Opt. Lett. 33, 228 (2008).
[CrossRef]

2007 (1)

B.-Z. Li, R. Tao, and Y. Wang, Signal Process. 87, 983 (2007).

2006 (2)

B. Deng, R. Tao, and Y. Wang, Sci. China Ser. F, Inf. Sci. 49, 592 (2006).

A. Stern, Signal Process. 86, 1421 (2006).
[CrossRef]

2005 (3)

1989 (1)

L. Cohen, Proc. IEEE 77, 941 (1989).
[CrossRef]

1979 (1)

1970 (1)

1949 (1)

C. E. Shannon, Proc. IRE 37, 10 (1949).
[CrossRef]

Bastiaans, M. J.

Buck, J. R.

A. V. Oppenheim, R. Schafer, and J. R. Buck, Discrete-Time Signal Processing, 2nd ed. (Prentice Hall, 1999).

Candan, C.

A. Koc, H. M. Ozaktas, C. Candan, and M. A. Kutay, IEEE Trans. Signal Process. 56, 2383 (2008).

Cohen, L.

L. Cohen, Proc. IEEE 77, 941 (1989).
[CrossRef]

Collins, S. A.

Deng, B.

B. Deng, R. Tao, and Y. Wang, Sci. China Ser. F, Inf. Sci. 49, 592 (2006).

Ding, J.-J.

J.-J. Ding, Ph.D. dissertation (National Taiwan University, 2001).

Haykin, S.

S. Haykin, Communication Systems, 4th ed. (Wiley, 2001).

Healy, J. J.

J. J. Healy and J. T. Sheridan, Opt. Lett. 33, 228 (2008).
[CrossRef]

J. J. Healy and J. T. Sheridan, Signal Process., doi:10.1016/j.sigpro.2008.10.011.

Hennelly, B. M.

Koc, A.

A. Koc, H. M. Ozaktas, C. Candan, and M. A. Kutay, IEEE Trans. Signal Process. 56, 2383 (2008).

Kutay, M. A.

A. Koc, H. M. Ozaktas, C. Candan, and M. A. Kutay, IEEE Trans. Signal Process. 56, 2383 (2008).

Li, B.-Z.

B.-Z. Li, R. Tao, and Y. Wang, Signal Process. 87, 983 (2007).

Oppenheim, A. V.

A. V. Oppenheim, R. Schafer, and J. R. Buck, Discrete-Time Signal Processing, 2nd ed. (Prentice Hall, 1999).

Ozaktas, H. M.

A. Koc, H. M. Ozaktas, C. Candan, and M. A. Kutay, IEEE Trans. Signal Process. 56, 2383 (2008).

Schafer, R.

A. V. Oppenheim, R. Schafer, and J. R. Buck, Discrete-Time Signal Processing, 2nd ed. (Prentice Hall, 1999).

Shannon, C. E.

C. E. Shannon, Proc. IRE 37, 10 (1949).
[CrossRef]

Sheridan, J. T.

Stern, A.

A. Stern, Signal Process. 86, 1421 (2006).
[CrossRef]

Tao, R.

B.-Z. Li, R. Tao, and Y. Wang, Signal Process. 87, 983 (2007).

B. Deng, R. Tao, and Y. Wang, Sci. China Ser. F, Inf. Sci. 49, 592 (2006).

Wang, Y.

B.-Z. Li, R. Tao, and Y. Wang, Signal Process. 87, 983 (2007).

B. Deng, R. Tao, and Y. Wang, Sci. China Ser. F, Inf. Sci. 49, 592 (2006).

Wolf, K. B.

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

IEEE Trans. Signal Process. (1)

A. Koc, H. M. Ozaktas, C. Candan, and M. A. Kutay, IEEE Trans. Signal Process. 56, 2383 (2008).

J. Opt. Soc. Am. (2)

J. Opt. Soc. Am. A (2)

Opt. Lett. (1)

Proc. IEEE (1)

L. Cohen, Proc. IEEE 77, 941 (1989).
[CrossRef]

Proc. IRE (1)

C. E. Shannon, Proc. IRE 37, 10 (1949).
[CrossRef]

Proc. SPIE (1)

B. M. Hennelly and J. T. Sheridan, Proc. SPIE 334, 5827 (2005).

Sci. China Ser. F, Inf. Sci. (1)

B. Deng, R. Tao, and Y. Wang, Sci. China Ser. F, Inf. Sci. 49, 592 (2006).

Signal Process. (2)

B.-Z. Li, R. Tao, and Y. Wang, Signal Process. 87, 983 (2007).

A. Stern, Signal Process. 86, 1421 (2006).
[CrossRef]

Other (5)

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

J.-J. Ding, Ph.D. dissertation (National Taiwan University, 2001).

J. J. Healy and J. T. Sheridan, Signal Process., doi:10.1016/j.sigpro.2008.10.011.

S. Haykin, Communication Systems, 4th ed. (Wiley, 2001).

A. V. Oppenheim, R. Schafer, and J. R. Buck, Discrete-Time Signal Processing, 2nd ed. (Prentice Hall, 1999).

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