Third-Order Intermodulation Distortion and Harmonic Generation in Mismatched Weakly Nonlinear Transmission Lines

This paper describes a procedure to obtain analytical expressions for the spurious signals generated in nonlinear transmission lines with impedance mismatch when they are subject to small-signals. Using these expressions one can rapidly extract the nonlinear parameters describing the nonlinear effec...

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Bibliographic Details
Published in:IEEE transactions on microwave theory and techniques 2009-01, Vol.57 (1), p.10-18
Main Authors: Mateu, J., Collado, C., Orloff, N., Booth, J.C., Rocas, E., Padilla, A., O'Callaghan, J.M.
Format: Article
Language:English
Subjects:
Applied sciences
Circuit properties
Closed-form solution
Conductors
Electric, optical and optoelectronic circuits
Electronics
Exact sciences and technology
Exact solutions
Ferroelectric materials
Ferroelectrics
Frequency conversion
harmonic balance
Harmonic generations
Impedance
Intermodulation distortion
intermodulation products
Mathematical analysis
Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits
Microwaves
nonlinear measurements
nonlinearities
Nonlinearity
Signal analysis
Signal generators
Superconducting transmission lines
Superconductivity
superconductors
Theoretical study. Circuits analysis and design
Transmission lines
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Summary:This paper describes a procedure to obtain analytical expressions for the spurious signals generated in nonlinear transmission lines with impedance mismatch when they are subject to small-signals. Using these expressions one can rapidly extract the nonlinear parameters describing the nonlinear effects due to the conductor, L ( i ) and R ( i ) , such as in superconductors, and/or the nonlinear parameters due to the dielectric, C ( v ) and G ( v ) , such as in ferroelectrics. The resulting closed-form expressions have been validated by equivalent circuit simulations. Spurious signal measurements on several coplanar waveguide superconducting and ferroelectric transmission lines have been explained by the use of the resulting closed-form expressions.
ISSN:0018-9480
1557-9670
DOI:10.1109/TMTT.2008.2009083