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Design of uncorrelated signals

Design of uncorrelated signals

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© The Institution of Electrical Engineers
Published

By considering the identification of a multi-input single-output process, it is shown that it is not possible to design uncorrelated sequences (of the same period) with autocorrelation functions of delta-function form This result is of importance not only in process identification, but also in the field of communication, where much effort has gone into trying to design uncorrelated sequences.

Inspec keywords: signal synthesis; identification

Other keywords: autocorrelation functions; uncorrelated signals; identification; multi input single output process

Subjects: Information theory; Signal processing and detection

References

    1. 1)
      • Ream, N.: `Crosscorrelation of pairs of binary ', Report, January 1966, (now University of Surrey).
    2. 2)
      • P.A.N. Briggs , K.R. Godfrey . Pseudorandom signals for the dynamic analysis of multivariable systems. Proc. IEE. , 7 , 1259 - 1267
    3. 3)
      • N. Ream . Correspondence on pseudorandom signals for the dynamic analysis of multivariable systems. Proc. IEE. , 2
    4. 4)
      • J. Macwilliams . An example of two cyclically orthogonal sequences with maximum period. IEEE Trans. , 338 - 339
    5. 5)
      • Van den Bos, A.: `Estimation of linear system coefficients from noisy responses to binary multifrequency test signals', Paper 7.2, 2nd. IFAC symposium on identification and process parameter estimation, June 1970, .
    6. 6)
      • F. Hohn . (1964) , Elementary matrix algebra.
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