Abstract

A multiplex technique is described that is binary in nature and that can be used in the observation of a dispersed spectrum in any wavelength region for which a detector exists. The subsequent data processing involves the minimum possible number of operations and can easily be carried out in real time. The number of observations that must be made is also a minimum, equal to the number of spectral elements. Methods of generating the coding and decoding patterns, derived from the simple mathematical formulation of the multiplexing technique, are described.

© 1968 Optical Society of America

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References

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  1. J. Connes, Rev. Opt 40, Nos. 2, 3, 4, 5 (1961).
  2. P. B. Fellgett, J. Phys. Radium 19, 187 (1958).
    [CrossRef]
  3. L. Mertz, N. O. Young, J. Armitage, in Proceedings of the Conference on Optical Instruments and Techniques, K. Habell, Ed. (Chapman and Hall, Ltd.London, 1962).
  4. R. F. Edgar, B. Lawrenson, J. Ring, J. Phys. 28, Colloque C2, Suppl. 3–4, 73 (1967).
  5. J. F. Grainger, J. Ring, J. H. Stell, J. Phys. 28, Colloque C2, Suppl. 3–4, 44 (1967).
  6. D. B. G. Edwards, D. Aspinall, World Med. Electron. 3, 276 (1965).
  7. W. W. Peterson, Error-Correcting Codes (John Wiley & Sons, Inc., New York, 1966).
  8. D. A. Bell, Electron. Lett. 2, 340 (1966).
    [CrossRef]
  9. M. Golay, J. Opt. Soc. Amer. 39, 437 (1949).
    [CrossRef]

1967 (2)

R. F. Edgar, B. Lawrenson, J. Ring, J. Phys. 28, Colloque C2, Suppl. 3–4, 73 (1967).

J. F. Grainger, J. Ring, J. H. Stell, J. Phys. 28, Colloque C2, Suppl. 3–4, 44 (1967).

1966 (1)

D. A. Bell, Electron. Lett. 2, 340 (1966).
[CrossRef]

1965 (1)

D. B. G. Edwards, D. Aspinall, World Med. Electron. 3, 276 (1965).

1961 (1)

J. Connes, Rev. Opt 40, Nos. 2, 3, 4, 5 (1961).

1958 (1)

P. B. Fellgett, J. Phys. Radium 19, 187 (1958).
[CrossRef]

1949 (1)

M. Golay, J. Opt. Soc. Amer. 39, 437 (1949).
[CrossRef]

Armitage, J.

L. Mertz, N. O. Young, J. Armitage, in Proceedings of the Conference on Optical Instruments and Techniques, K. Habell, Ed. (Chapman and Hall, Ltd.London, 1962).

Aspinall, D.

D. B. G. Edwards, D. Aspinall, World Med. Electron. 3, 276 (1965).

Bell, D. A.

D. A. Bell, Electron. Lett. 2, 340 (1966).
[CrossRef]

Connes, J.

J. Connes, Rev. Opt 40, Nos. 2, 3, 4, 5 (1961).

Edgar, R. F.

R. F. Edgar, B. Lawrenson, J. Ring, J. Phys. 28, Colloque C2, Suppl. 3–4, 73 (1967).

Edwards, D. B. G.

D. B. G. Edwards, D. Aspinall, World Med. Electron. 3, 276 (1965).

Fellgett, P. B.

P. B. Fellgett, J. Phys. Radium 19, 187 (1958).
[CrossRef]

Golay, M.

M. Golay, J. Opt. Soc. Amer. 39, 437 (1949).
[CrossRef]

Grainger, J. F.

J. F. Grainger, J. Ring, J. H. Stell, J. Phys. 28, Colloque C2, Suppl. 3–4, 44 (1967).

Lawrenson, B.

R. F. Edgar, B. Lawrenson, J. Ring, J. Phys. 28, Colloque C2, Suppl. 3–4, 73 (1967).

Mertz, L.

L. Mertz, N. O. Young, J. Armitage, in Proceedings of the Conference on Optical Instruments and Techniques, K. Habell, Ed. (Chapman and Hall, Ltd.London, 1962).

Peterson, W. W.

W. W. Peterson, Error-Correcting Codes (John Wiley & Sons, Inc., New York, 1966).

Ring, J.

J. F. Grainger, J. Ring, J. H. Stell, J. Phys. 28, Colloque C2, Suppl. 3–4, 44 (1967).

R. F. Edgar, B. Lawrenson, J. Ring, J. Phys. 28, Colloque C2, Suppl. 3–4, 73 (1967).

Stell, J. H.

J. F. Grainger, J. Ring, J. H. Stell, J. Phys. 28, Colloque C2, Suppl. 3–4, 44 (1967).

Young, N. O.

L. Mertz, N. O. Young, J. Armitage, in Proceedings of the Conference on Optical Instruments and Techniques, K. Habell, Ed. (Chapman and Hall, Ltd.London, 1962).

Electron. Lett. (1)

D. A. Bell, Electron. Lett. 2, 340 (1966).
[CrossRef]

J. Opt. Soc. Amer. (1)

M. Golay, J. Opt. Soc. Amer. 39, 437 (1949).
[CrossRef]

J. Phys. (2)

R. F. Edgar, B. Lawrenson, J. Ring, J. Phys. 28, Colloque C2, Suppl. 3–4, 73 (1967).

J. F. Grainger, J. Ring, J. H. Stell, J. Phys. 28, Colloque C2, Suppl. 3–4, 44 (1967).

J. Phys. Radium (1)

P. B. Fellgett, J. Phys. Radium 19, 187 (1958).
[CrossRef]

Rev. Opt (1)

J. Connes, Rev. Opt 40, Nos. 2, 3, 4, 5 (1961).

World Med. Electron. (1)

D. B. G. Edwards, D. Aspinall, World Med. Electron. 3, 276 (1965).

Other (2)

W. W. Peterson, Error-Correcting Codes (John Wiley & Sons, Inc., New York, 1966).

L. Mertz, N. O. Young, J. Armitage, in Proceedings of the Conference on Optical Instruments and Techniques, K. Habell, Ed. (Chapman and Hall, Ltd.London, 1962).

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Figures (6)

Fig. 1
Fig. 1

Block diagram of the multiplexing system.

Fig. 2
Fig. 2

Coding matrix A3, decoding matrix A3, and the three register contents.

Fig. 3
Fig. 3

Matrix B3, suitable for multiplexing seven spectral elements.

Fig. 4
Fig. 4

The conversion matrix for a sequential scan spectrometer.

Fig. 5
Fig. 5

The decoding matrix corresponding to B3.

Fig. 6
Fig. 6

Method of generating Hadamard matrices.

Equations (6)

Equations on this page are rendered with MathJax. Learn more.

B 2 = 2 n - 2 ( I + J ) ,
B J = 2 n - 1 J .
0 0 1 ( 1 ) 0 1 0 ( 2 ) 0 1 1 ( 3 ) 1 0 0 ( 4 ) 1 0 1 ( 5 ) 1 1 0 ( 6 ) 1 1 1 ( 7 ) ,
0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 0 1.
1 0 1 0 1 0 1 0 1 1 0 0 1 1 1 1 2 0 1 1 2 0 0 0 1 1 1 1 1 0 1 1 2 1 2 0 1 1 1 1 2 2 1 1 2 1 2 2 3.
0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 0 1 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0 1.

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