Differential and Common Mode Noise Waves and Correlation Matrices

Dobrowolski, Janusz A.

doi:10.2478/eletel-2014-0016

Cited by 4 publications

(8 citation statements)

References 9 publications

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“…In [8-10] mixed mode noise wave formalism and mixed mode S parameters are applied to derive the differential noise figure of four port differential networks. In this paper there is presented a general noise analysis method which is based on mixed mode, differential-and common-mode, noise wave formalism [12] derived from pseudo-wave definition presented in [11] by R. Marks and D. Williams, the generalized mixed-mode scattering matrix [2] and the mixed mode noise wave correlation matrix [12]. Presented approach may be used for noise analysis of differential networks with mixed mode ports as well as with single-ended ports.…”

Section: Abstract-differentialmentioning

confidence: 99%

“…In deriving (12) we have taken into account the obvious fact that the noise waves originated in the multiport are not correlated with noise waves generated in the terminations.…”

Section: Noise Analysis Of Mixed Mode Multiport Networkmentioning

confidence: 99%

“…The first term is related to noise generated in the signal sources and loads connected to the input and output ports of the multiport network, while the second term is related to the noise generated in the network. In the case when all external noise sources are equal to zero, C L = 0, (for example, when the temperature of all terminations equals 0 K) and the first term in (12) vanishes. Similarly, a case of noiseless amplifier corresponds to C S = 0, and the second term in (12) vanishes.…”

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confidence: 99%

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Noise Analysis of Differential Multiport Networks – the Wave Approach

Dobrowolski¹

2014

International Journal of Electronics and Telecommunications

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Abstract-In this paper there is presented and discussed a general analysis method for noise characterization of noisy 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 noise analysis of differential microwave multiport networks with differential as well as with conventional single ended ports. introduced generalized mixed-mode scattering matrix which can be used for hybrid networks having some ports differential and some ports single-ended. Such theory may be used for characterization and signal analysis and design of differential networks containing differential amplifiers, baluns, transformers etc. Keywords-DifferentialThe noise wave formalism has been applied for years to study noise wave properties of single ended two-port devices and networks [3][4] and multi-port networks [5][6]. J. Randa [7] has proposed a way to apply single-ended noise waves and standard single-ended scattering parameters to derive noise parameters of differential multiport networks. In [8-10] mixed mode noise wave formalism and mixed mode S parameters are applied to derive the differential noise figure of four port differential networks. In this paper there is presented a general noise analysis method which is based on mixed mode, differential-and common-mode, noise wave formalism [12] derived from pseudo-wave definition presented in [11] by R. Marks and D. Williams, the generalized mixed-mode scattering matrix [2] and the mixed mode noise wave correlation matrix [12]. Presented approach may be used for noise analysis of differential networks with mixed mode ports as well as with single-ended ports. The method is applied to evaluate the differential noise figure and the differential signal to noise ratio degradation factor of mixed mode multiport networks. II. NOISE ANALYSIS OF MIXED MODE MULTIPORT NETWORKSThis approach to the analysis of noisy microwave multiport mixed-mode networks is based on assumption that a linear noisy network can be represented by the single n x n c is the vector of the generalized mixed-mode equivalent noise wave sources representing thermal noise generated in terminations (in loads and in internal impedances of the signal sources) connected to the ports of the multiport, and o Γ is the n x n reflection coefficients matrix of signal sources and loads connected to the n ports of the multiport. are the generalized mixed-mode noise wave vectors, which combine the p mixed-mode port set of noise pseudowaves and the remaining (n -p) single-ended port set of noise pseud...

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Section: Abstract-differentialmentioning

confidence: 99%

“…In deriving (12) we have taken into account the obvious fact that the noise waves originated in the multiport are not correlated with noise waves generated in the terminations.…”

Section: Noise Analysis Of Mixed Mode Multiport Networkmentioning

confidence: 99%

mentioning

confidence: 99%

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Noise Analysis of Differential Multiport Networks – the Wave Approach

Dobrowolski¹

2014

International Journal of Electronics and Telecommunications

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“…Characterising the mixed common-and differential-mode noise response of a balanced LNA pair remains a non-trivial task. A number of papers propose techniques by which the mixed-mode noise response of these LNAs can be modelled or measured [9][10][11]. These techniques provide means to analyse and characterise the mixed-mode performance of balanced LNAs, but do not provide a full mixed-mode noise formulation in terms of noise parameters.…”

Section: Introductionmentioning

confidence: 99%

Multi‐mode noise parameters for multi‐port networks

Prinsloo

Meyer

2016

IET Microwaves, Antennas & Propagation

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This study derives an equation set by which the equivalent multi‐mode noise parameters of a general multi‐port receiver can be solved in terms of the noise parameters of the constituent single‐ended (SE) low‐noise amplifiers (LNAs). The expressions are used to derive equivalent differential‐ and common‐mode noise parameters for a pair of balanced LNAs as well as the equivalent multi‐mode noise parameters of four SE LNAs excited through a quadraxial transmission line.

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“…In this paper there is presented a general noise analysis method which is based on mixed mode, differential-and common-mode, noise wave formalism [7] derived from pseudowave definition presented in [3] by R. Marks and D. Williams, the generalized mixed-mode scattering matrix [2] and the mixed mode noise wave correlation matrix [7]. Presented approach may be used for noise analysis of differential networks with mixed mode ports as well as with single-ended ports.…”

Section: Introductionmentioning

confidence: 99%

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

Dobrowolski¹

2015

International Journal of Electronics and Telecommunications

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In this paper there is presented and discussed a general analysis method for noise characterization of noisy multielement 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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Differential and Common Mode Noise Waves and Correlation Matrices

Cited by 4 publications

References 9 publications

Noise Analysis of Differential Multiport Networks – the Wave Approach

Noise Analysis of Differential Multiport Networks – the Wave Approach

Multi‐mode noise parameters for multi‐port networks

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

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