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  1. J. W. Goodman, J. F. Leonberger, S. Y. Kung, R. A. Athale, “Optical Interconnections for VLSI Systems,” Proc. IEEE 72, 850 (1984).
    [CrossRef]
  2. M. E. Marchic, “Combinatorial Star Couplers for Single-Mode Optical Fibers,” FOC/LAN 84, pp. 175–179.
  3. A. W. Lohmann, W. Stork, G. Stucke, “Optical Implementation of the Perfect Shuffle,” in Technical Digest of Topical Meeting on Optical Computing (Optical Society of America, Washington, DC, 1985).
  4. K.-H. Brenner, A. Huang, “Optical Implementation of the Perfect Shuffle Interconnection,” to be submitted to Appl. Opt.
    [PubMed]
  5. H. S. Stone, “Parallel Processing with the Perfect Shuffle,” IEEE Trans. Comput. C-20 (Feb.1971).
    [CrossRef]
  6. C. Wu, T. Feng, “The University of the Shuffle/Exchange-Network,” IEEE Trans. Comput. C-30 (May1981).
  7. D. S. Parker, “Notes on Shuffle/Exchange Type Switching Networks,” IEEE Trans. Comput. C-29 (Mar.1980).
    [CrossRef]

1984 (1)

J. W. Goodman, J. F. Leonberger, S. Y. Kung, R. A. Athale, “Optical Interconnections for VLSI Systems,” Proc. IEEE 72, 850 (1984).
[CrossRef]

1981 (1)

C. Wu, T. Feng, “The University of the Shuffle/Exchange-Network,” IEEE Trans. Comput. C-30 (May1981).

1980 (1)

D. S. Parker, “Notes on Shuffle/Exchange Type Switching Networks,” IEEE Trans. Comput. C-29 (Mar.1980).
[CrossRef]

1971 (1)

H. S. Stone, “Parallel Processing with the Perfect Shuffle,” IEEE Trans. Comput. C-20 (Feb.1971).
[CrossRef]

Athale, R. A.

J. W. Goodman, J. F. Leonberger, S. Y. Kung, R. A. Athale, “Optical Interconnections for VLSI Systems,” Proc. IEEE 72, 850 (1984).
[CrossRef]

Brenner, K.-H.

K.-H. Brenner, A. Huang, “Optical Implementation of the Perfect Shuffle Interconnection,” to be submitted to Appl. Opt.
[PubMed]

Feng, T.

C. Wu, T. Feng, “The University of the Shuffle/Exchange-Network,” IEEE Trans. Comput. C-30 (May1981).

Goodman, J. W.

J. W. Goodman, J. F. Leonberger, S. Y. Kung, R. A. Athale, “Optical Interconnections for VLSI Systems,” Proc. IEEE 72, 850 (1984).
[CrossRef]

Huang, A.

K.-H. Brenner, A. Huang, “Optical Implementation of the Perfect Shuffle Interconnection,” to be submitted to Appl. Opt.
[PubMed]

Kung, S. Y.

J. W. Goodman, J. F. Leonberger, S. Y. Kung, R. A. Athale, “Optical Interconnections for VLSI Systems,” Proc. IEEE 72, 850 (1984).
[CrossRef]

Leonberger, J. F.

J. W. Goodman, J. F. Leonberger, S. Y. Kung, R. A. Athale, “Optical Interconnections for VLSI Systems,” Proc. IEEE 72, 850 (1984).
[CrossRef]

Lohmann, A. W.

A. W. Lohmann, W. Stork, G. Stucke, “Optical Implementation of the Perfect Shuffle,” in Technical Digest of Topical Meeting on Optical Computing (Optical Society of America, Washington, DC, 1985).

Marchic, M. E.

M. E. Marchic, “Combinatorial Star Couplers for Single-Mode Optical Fibers,” FOC/LAN 84, pp. 175–179.

Parker, D. S.

D. S. Parker, “Notes on Shuffle/Exchange Type Switching Networks,” IEEE Trans. Comput. C-29 (Mar.1980).
[CrossRef]

Stone, H. S.

H. S. Stone, “Parallel Processing with the Perfect Shuffle,” IEEE Trans. Comput. C-20 (Feb.1971).
[CrossRef]

Stork, W.

A. W. Lohmann, W. Stork, G. Stucke, “Optical Implementation of the Perfect Shuffle,” in Technical Digest of Topical Meeting on Optical Computing (Optical Society of America, Washington, DC, 1985).

Stucke, G.

A. W. Lohmann, W. Stork, G. Stucke, “Optical Implementation of the Perfect Shuffle,” in Technical Digest of Topical Meeting on Optical Computing (Optical Society of America, Washington, DC, 1985).

Wu, C.

C. Wu, T. Feng, “The University of the Shuffle/Exchange-Network,” IEEE Trans. Comput. C-30 (May1981).

IEEE Trans. Comput. (3)

H. S. Stone, “Parallel Processing with the Perfect Shuffle,” IEEE Trans. Comput. C-20 (Feb.1971).
[CrossRef]

C. Wu, T. Feng, “The University of the Shuffle/Exchange-Network,” IEEE Trans. Comput. C-30 (May1981).

D. S. Parker, “Notes on Shuffle/Exchange Type Switching Networks,” IEEE Trans. Comput. C-29 (Mar.1980).
[CrossRef]

Proc. IEEE (1)

J. W. Goodman, J. F. Leonberger, S. Y. Kung, R. A. Athale, “Optical Interconnections for VLSI Systems,” Proc. IEEE 72, 850 (1984).
[CrossRef]

Other (3)

M. E. Marchic, “Combinatorial Star Couplers for Single-Mode Optical Fibers,” FOC/LAN 84, pp. 175–179.

A. W. Lohmann, W. Stork, G. Stucke, “Optical Implementation of the Perfect Shuffle,” in Technical Digest of Topical Meeting on Optical Computing (Optical Society of America, Washington, DC, 1985).

K.-H. Brenner, A. Huang, “Optical Implementation of the Perfect Shuffle Interconnection,” to be submitted to Appl. Opt.
[PubMed]

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Figures (4)

Fig. 1
Fig. 1

Perfect shuffle permutation for N = 16 elements. The small boxes represent processing elements (PE), numbered from 0 to 15. As an example the output of PE 2 is connected to the input of PE 4.

Fig. 2
Fig. 2

Basic concept of a PS setup. The PS permutation is achieved by interlacing the upper and lower halves of the input.

Fig. 3
Fig. 3

Simple PS setup with two prism pairs.

Fig. 4
Fig. 4

Input object (upper) and its shuffled version (lower). The columns may represent numbers shuffled in a horizontal direction.

Equations (1)

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n = 2 n + [ 2 n / N ] mod N ; n = 0 , 1 N 1 .

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