Application of Volterra series to the problem of self-oscillating mixer

Chew, Siou Teck; Itoh, T.

doi:10.1109/22.481576

Cited by 13 publications

(7 citation statements)

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“…Comparing the measured locking ranges, one can see that the superharmonic provides the largest locking range and that the parametric locking range (assuming equal power levels) is greater than the subharmonic. For equal injection levels, (10) indicates that the parametric locking range should ideally be twice as high as the subharmonic locking range defined by (12) in Table I. However the measurements indicates that this factor is between 1.2-1.5 times higher.…”

Section: Discussionmentioning

confidence: 87%

“…Previously, Volterra series have been used to model systems with mutiple inputs and a mild nonlinearity, such as would be found in a receiver front-end [11], even though attempts are made recently to apply that to strongly nonlinear systems such as self-oscillating mixers [12]. The harmonic-balance method using a full nonlinear transistor model such as the Gummel-Poon [13] or Curtice [14] has only been recently applied to injection locking [15].…”

Section: Introductionmentioning

confidence: 99%

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A unified analytical model and experimental validations of injection-locking processes

Moyer

Daryoush

2000

IEEE Trans. Microwave Theory Techn.

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Unified analytical expressions predicting the locking range for fundamental, subharmonic ( = 2), superharmonic ( = 2), and parametric injection ( = = = 1) locking are presented and compared in this paper. Power series are employed to model the device nonlinearity. The -parameters, relating nonlinear I-V behavior, are extracted using a harmonic-balance approach. These expressions are verified using an UHF oscillator; and good agreement is obtained between the experimental and analytical results.

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Section: Discussionmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

A unified analytical model and experimental validations of injection-locking processes

Moyer

Daryoush

2000

IEEE Trans. Microwave Theory Techn.

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“…The Volterra series has been widely studied and has proved to be an efficient method for calculating distortion levels in weakly nonlinear circuits [1][2][3][4][5]. This feature is quite suitable for the uses of modern digital communications circuit design in QAM-based modulations [6], where only weakly nonlinear distortion is permitted.…”

Section: Introductionmentioning

confidence: 99%

Hybrid approach to Volterra analysis for microwave MEFET amplifiers for digital wireless communications

Huang

2003

Micro & Optical Tech Letters

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A hybrid approach to Volterra analysis using both time‐ and frequency‐domain operations for microwave MESFET amplifiers is proposed in order to adapt continuous spectral features in digital wireless communications. The major modification is the equivalent baseband formulations in the time domain for the digital modulation signal, and frequency‐domain treatment of the nonlinear system via a Volterra series expansion. Theoretical and numerical studies indicate a great improvement in computation efficiency as compared with the pure frequency‐domain approach. The method shown has potential applications for both circuit‐ and system‐level simulations in digital wireless communications. © 2003 Wiley Periodicals, Inc. Microwave Opt Technol Lett 39: 314–317, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.11201

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“…This approach is interesting but requires an additional optimizing step over the already iterative HB algorithm, which yields a computationally intensive analysis procedure. In [6], the Volterra series approach was applied to the problem of SOMs, which allows for an effective and rapid computation of harmonic components and shows very good accuracy for weakly nonlinear structures. Furthermore, it does not require any iterative procedure and is applicable to CAD solutions by using the nonlinear current method [7].…”

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confidence: 99%

A novel hybrid analysis approach for subharmonic self-oscillating mixers combining volterra series and conversion matrix methods

Winkler

Stelzer

2007

2007 European Microwave Integrated Circuit Conference

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In this paper, a novel analysis method for subharmonic self-oscillating mixers (SOMs) is presented. It suggests a hybrid approach that effectively combines a Volterra series analysis describing the oscillating steady-state condition and a conversion matrix method analysing the higher-order mixing phenomena. The proposed scheme eliminates the limitation of increasingly complex analytical description for high orders and is therefore an excellent choice for high-order subharmonic SOMs. This method is applied to a balanced subharmonic SOM circuit and yields an excellent performance prediction.

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Application of Volterra series to the problem of self-oscillating mixer

Cited by 13 publications

References 13 publications

A unified analytical model and experimental validations of injection-locking processes

A unified analytical model and experimental validations of injection-locking processes

Hybrid approach to Volterra analysis for microwave MEFET amplifiers for digital wireless communications

A novel hybrid analysis approach for subharmonic self-oscillating mixers combining volterra series and conversion matrix methods

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