Realisation of open-circuit voltage-transfer matrices by grounded nullors

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Realisation of open-circuit voltage-transfer matrices by grounded nullors

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© The Institution of Electrical Engineers
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A general synthesis procedure is presented that proves the following theorem: an arbitrary m × n matrix of real rational functions of the complex frequency variable can be realised as the open-circuit voltage-transfer matrix of a grounded transformerless active RC (n + m)-port network containing no more than m + 1 grounded nullors, where n and m are the numbers of the input and output ports, respectively.

Inspec keywords: linear network synthesis; transfer functions; active networks

Other keywords: general synthesis procedure; grounded nullors; active RC multiports; open circuit voltage transfer matrices; complex frequency variable

Subjects: Filters and other networks; General circuit analysis and synthesis methods

References

    1. 1)
      • G. Martinelli . On the nullor. Proc. Inst. Elec. Electron. Eng.
    2. 2)
      • G. Martinelli . RC transformerless networks embedding nullors. Alta Freq. , 156 - 162
    3. 3)
      • C.D. Kim , K.L. Su . On the sufficiency of 2N operational amplifiers to realize an arbitrary N×N voltage transfer matrix. IEEE Trans. , 729 - 732
    4. 4)
      • B.B. Stamenković . On the active RC realization of rational admittance matrices with prescribed ranges of passive RC element values. Int. J. Circuit Theory. & Appl.
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