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- Commensurate_line_circuit abstract "Commensurate line circuits are electrical circuits composed of transmission lines that are all the same length; commonly one-eighth of a wavelength. Lumped element circuits can be directly converted to distributed element circuits of this form by the use of Richards' transformation. This transformation has a particularly simple result; inductors are replaced with transmission lines terminated in short-circuits and capacitors are replaced with lines terminated in open-circuits. Commensurate line theory is particularly useful for designing distributed element filters for use at microwave frequencies.It is usually necessary to carry out a further transformation of the circuit using Kuroda's identities. There are several reasons for applying one of the Kuroda transformations; the principal reason is usually to eliminate series connected components. In some technologies, including the widely used microstrip, series connections are difficult or impossible to implement.The frequency response of commensurate line circuits, like all distributed element circuits, will periodically repeat, limiting the frequency range over which they are effective. Circuits designed by the methods of Richards and Kuroda are not the most compact. Refinements to the methods of coupling elements together can produce more compact designs. Nevertheless, the commensurate line theory remains the basis for many of these more advanced filter designs.".
- Commensurate_line_circuit thumbnail Commensurate_line_theory.svg?width=300.
- Commensurate_line_circuit wikiPageExternalLink ?arnumber=1697618.
- Commensurate_line_circuit wikiPageExternalLink ieeexplore.ieee.org?arnumber=1086441.
- Commensurate_line_circuit wikiPageExternalLink ieeexplore.ieee.org?arnumber=1132817.
- Commensurate_line_circuit wikiPageExternalLink ieeexplore.ieee.org?arnumber=15902.
- Commensurate_line_circuit wikiPageID "26914142".
- Commensurate_line_circuit wikiPageLength "20740".
- Commensurate_line_circuit wikiPageOutDegree "80".
- Commensurate_line_circuit wikiPageRevisionID "707961398".
- Commensurate_line_circuit wikiPageWikiLink Admittance.
- Commensurate_line_circuit wikiPageWikiLink All-pass_filter.
- Commensurate_line_circuit wikiPageWikiLink Angle.
- Commensurate_line_circuit wikiPageWikiLink Angular_frequency.
- Commensurate_line_circuit wikiPageWikiLink Band-pass_filter.
- Commensurate_line_circuit wikiPageWikiLink Bandwidth_(signal_processing).
- Commensurate_line_circuit wikiPageWikiLink Bessel_filter.
- Commensurate_line_circuit wikiPageWikiLink Bridged_T_delay_equaliser.
- Commensurate_line_circuit wikiPageWikiLink Capacitance.
- Commensurate_line_circuit wikiPageWikiLink Capacitor.
- Commensurate_line_circuit wikiPageWikiLink Category:Analog_circuits.
- Commensurate_line_circuit wikiPageWikiLink Category:Circuit_theorems.
- Commensurate_line_circuit wikiPageWikiLink Category:Distributed_element_circuits.
- Commensurate_line_circuit wikiPageWikiLink Category:Electronic_design.
- Commensurate_line_circuit wikiPageWikiLink Category:Filter_theory.
- Commensurate_line_circuit wikiPageWikiLink Category:Linear_filters.
- Commensurate_line_circuit wikiPageWikiLink Category:Microwave_technology.
- Commensurate_line_circuit wikiPageWikiLink Characteristic_impedance.
- Commensurate_line_circuit wikiPageWikiLink Coaxial_cable.
- Commensurate_line_circuit wikiPageWikiLink Combline_filter.
- Commensurate_line_circuit wikiPageWikiLink Degree_of_a_polynomial.
- Commensurate_line_circuit wikiPageWikiLink Diplexer.
- Commensurate_line_circuit wikiPageWikiLink Distributed_element_filter.
- Commensurate_line_circuit wikiPageWikiLink Distributed_element_model.
- Commensurate_line_circuit wikiPageWikiLink Dual_impedance.
- Commensurate_line_circuit wikiPageWikiLink Electrical_reactance.
- Commensurate_line_circuit wikiPageWikiLink Electronic_filter.
- Commensurate_line_circuit wikiPageWikiLink Electronic_filter_topology.
- Commensurate_line_circuit wikiPageWikiLink File:Commensurate_line_theory.svg.
- Commensurate_line_circuit wikiPageWikiLink File:Kurodas_identities.svg.
- Commensurate_line_circuit wikiPageWikiLink File:Richards_transform_of_Chebyshev_filter.svg.
- Commensurate_line_circuit wikiPageWikiLink Group_delay_and_phase_delay.
- Commensurate_line_circuit wikiPageWikiLink High-pass_filter.
- Commensurate_line_circuit wikiPageWikiLink Impedance_inverter.
- Commensurate_line_circuit wikiPageWikiLink Impedance_matching.
- Commensurate_line_circuit wikiPageWikiLink Inductance.
- Commensurate_line_circuit wikiPageWikiLink Inductor.
- Commensurate_line_circuit wikiPageWikiLink Laplace_transform.
- Commensurate_line_circuit wikiPageWikiLink Lattice_phase_equaliser.
- Commensurate_line_circuit wikiPageWikiLink Low-pass_filter.
- Commensurate_line_circuit wikiPageWikiLink Lumped_element_model.
- Commensurate_line_circuit wikiPageWikiLink Microstrip.
- Commensurate_line_circuit wikiPageWikiLink Microwave.
- Commensurate_line_circuit wikiPageWikiLink Network_analysis_(electrical_circuits).
- Commensurate_line_circuit wikiPageWikiLink Network_synthesis_filters.
- Commensurate_line_circuit wikiPageWikiLink Passband.
- Commensurate_line_circuit wikiPageWikiLink Paul_I._Richards.
- Commensurate_line_circuit wikiPageWikiLink Phase_(waves).
- Commensurate_line_circuit wikiPageWikiLink Phase_change_(waves).
- Commensurate_line_circuit wikiPageWikiLink Port_(circuit_theory).
- Commensurate_line_circuit wikiPageWikiLink Prototype_filter.
- Commensurate_line_circuit wikiPageWikiLink Quarter-wave_impedance_transformer.
- Commensurate_line_circuit wikiPageWikiLink Radian.
- Commensurate_line_circuit wikiPageWikiLink Rational_function.
- Commensurate_line_circuit wikiPageWikiLink Resistor.
- Commensurate_line_circuit wikiPageWikiLink S-plane.
- Commensurate_line_circuit wikiPageWikiLink Stripline.
- Commensurate_line_circuit wikiPageWikiLink Stub_(electronics).
- Commensurate_line_circuit wikiPageWikiLink Susceptance.
- Commensurate_line_circuit wikiPageWikiLink Transfer_function.
- Commensurate_line_circuit wikiPageWikiLink Transformer.
- Commensurate_line_circuit wikiPageWikiLink Transmission_line.
- Commensurate_line_circuit wikiPageWikiLink Transverse_mode.
- Commensurate_line_circuit wikiPageWikiLink Trigonometric_functions.
- Commensurate_line_circuit wikiPageWikiLink Twin-lead.
- Commensurate_line_circuit wikiPageWikiLink Two-port_network.
- Commensurate_line_circuit wikiPageWikiLink Waveguide_filter.
- Commensurate_line_circuit wikiPageWikiLink Wavelength.
- Commensurate_line_circuit wikiPageWikiLinkText "Commensurate line circuit#Kuroda's identities".
- Commensurate_line_circuit wikiPageWikiLinkText "Commensurate line circuit#Richards' transformation".
- Commensurate_line_circuit wikiPageWikiLinkText "commensurate line circuit".
- Commensurate_line_circuit wikiPageUsesTemplate Template:OCLC.
- Commensurate_line_circuit wikiPageUsesTemplate Template:Reflist.
- Commensurate_line_circuit subject Category:Analog_circuits.
- Commensurate_line_circuit subject Category:Circuit_theorems.
- Commensurate_line_circuit subject Category:Distributed_element_circuits.
- Commensurate_line_circuit subject Category:Electronic_design.
- Commensurate_line_circuit subject Category:Filter_theory.
- Commensurate_line_circuit subject Category:Linear_filters.
- Commensurate_line_circuit subject Category:Microwave_technology.
- Commensurate_line_circuit comment "Commensurate line circuits are electrical circuits composed of transmission lines that are all the same length; commonly one-eighth of a wavelength. Lumped element circuits can be directly converted to distributed element circuits of this form by the use of Richards' transformation. This transformation has a particularly simple result; inductors are replaced with transmission lines terminated in short-circuits and capacitors are replaced with lines terminated in open-circuits.".
- Commensurate_line_circuit label "Commensurate line circuit".
- Commensurate_line_circuit wasDerivedFrom Commensurate_line_circuit?oldid=707961398.
- Commensurate_line_circuit depiction Commensurate_line_theory.svg.
- Commensurate_line_circuit isPrimaryTopicOf Commensurate_line_circuit.