Noise Characterization of Differential Multi-Element Multiport Networks - the Wave Approach

Janusz Dobrowolski


In this paper there is presented and discussed a general analysis method for noise characterization of noisy multi-element multiport differential networks. It is based on mixed mode, differential and common mode, noise waves representation of noise, generalized mixed-mode scattering parameters and generalized mixed-mode noise wave correlation parameters for the network. There are derived analytical relation between the noise figure for a given output port and the noise matrix and the scattering parameters of the network, as well as the correlations between the input port noise waves. The signal to noise ratio degradation factor is derived and discussed, too. Presented results can be implemented directly in a CAD software for noise analysis of differential microwave multi-element multiport networks with differential as well as with conventional single ended ports.

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D.F. Bockelman, W.R. Eisenstadt, “Combined Differential and Common Mode Scattering Parameters: Theory and Simulation”, IEEE Trans. Microwave Theory and Techniques, Vol. 43, No. 7, July 1997, pp. 1530-1539.

A. Ferrero, M. Pirola, “Generalized Mixed-Mode S-Parameters”, IEEE Trans. Microwave Theory Techn., Vol. 54, No.1, January 2006, pp. 458-463.

R. B. Marks, D.F. Williams, “A General Waveguide Circuit Theory”, Journal of Research of the National Institute of Standards and Technology, vol. 97, 1992, pp. 533- 562.

S.W. Wedge, D.B. Rutledge, "Wave Techniques for Noise Modeling and Measurement", IEEE Trans. Microwave Theory Tech., Vol. MTT-40, November 1992, pp. 2004-2012.

P. Penfield, “Wave Representation of Amplifier Noise”, IRE Trans. Circuit Theory, March 1962, pp. 84-86.

R.P. Meys, "A Wave Approach to the Noise Properties of Linear Microwave Devices", IEEE Trans. Microwave Theory Tech., Vol. MTT-26, January 1978, pp. 34-38.

J.A. Dobrowolski, “Differential and Common Mode Noise Waves and Correlation Matrices”, Int. Journal of Electronics and Telecommunications, Vol. 60, No 2, 2014, pp. 133-141.

J.A. Dobrowolski, "A CAD Oriented Method for Noise Figure Computation of Two-Ports with Any Internal Topology", IEEE Trans. Microwave Theory Tech., Vol. MTT-37, January 1989, pp. 15-20.

J. Randa, “Noise Characterization of Multiport Amplifiers”, IEEE Trans. Microwave Theory Tech., Vol. 49, No. 10, October 2001, pp. 1757-1763.

H. A. Haus, R. Adler, “Circuit Theory of Linear Noisy Networks”, New York, Wiley, 1959, Ch. 5.4.

H. Bosna, “ On the Theory of Linear Noisy Systems”, PhD Dissertation, Dept. Elect. Eng., Eindhoven University of Technology, Eindhoven, The Netherlands, 1968.

M. Roberts, R. Wunderlich, S. Heinen, “Differential Noise Figure Measurement: A Matrix Based Approach”, Proc. MTT-S, International Microwave Symposium, 2010, pp. 385-388.

J. Lintignat, S. Darfeuille, Z. Sassi, B. Barelaud, L. Billonnet, B. Jarry, “Original Approach for Extracting the Exact Noise Factor of Differential Microwave Circuits Using Mixed-Mode and Noise Wave Formalisms”, Proc. 36th European Microwave Conference, September 2006, Manchester UK, pp. 518-521.

L. Moura, P. Monteiro, I. Darwazeh, “ Generalized Noise Analysis Technique for Four-Port Linear Networks”, IEEE Trans. Circuits and Systems-1, Vol. 52, No. 3, Mach 2005, pp. 631-640.

M. Robens, R. Wunderlich, S. Heinen, “ Differential Noise Figure De-Embedding: A Comparison of Available Approaches”, IEEE Trans. Microwave Theory Tech., Vol. 59, No. 5, May 2011, pp. 1397-1407.

J.A. Dobrowolski, “Noise Analysis of Differential Multiport Networks”, Int. Journal of Electronics and Telecommunications, vol. 60, No. 4, Dec. 2014, pp. 281-286.


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