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Unitary (energy-preserving) multichannel networks with feedback

Unitary (energy-preserving) multichannel networks with feedback

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A unitary n-input n-output linear network preserves the total energy of all input signals. Using the functional calculus of normal matrices, it is proved that feedback round a unitary circuit plus a direct path with suitable gain yields another unitary circuit. This has applications to the design of electronic reverberation units.

References

    1. 1)
      • M.R. Schroeder , B.F. Logan . “Colorless” artificial reverberation. IRE Trans. , 209 - 214
    2. 2)
      • M.A. Gerzon . Synthetic stereo reverberation. Studio Sound , 632 - 635
    3. 3)
      • P.R. Halmos . (1958) , Finite-dimensional vector spaces.
    4. 4)
      • P.A.M. Dirac . (1958) , The principles of quantum mechanics.
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