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Foreword | |
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Preface | |
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Microwave Filter Fundamentals | |
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Scattering Parameters and ABCD Matrices | |
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Introduction | |
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Scattering Matrix of a Two-Port System | |
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Definitions | |
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Computing the S Parameters | |
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S-Parameter Properties | |
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ABCD Matrix of a Two-Port System | |
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ABCD Matrix of Basic Elements | |
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Cascade and Multiplication Property | |
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Input Impedence of a Loaded Two-Port | |
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Impedance and Admittance Inverters | |
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ABCD-Parameter Properties | |
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Conversion from Formulation S to ABCD and ABCD to S | |
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Bisection Theorem for Symmetrical Networks | |
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Conclusions | |
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References | |
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Approximations and Synthesis | |
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Introduction | |
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Ideal Low-Pass Filtering Characteristics | |
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Functions Approximating the Ideal Low-Pass Magnitude Response | |
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Butterworth Function | |
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Chebyshev Function | |
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Elliptic Function | |
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Generalized Chebyshev (Pseudoelliptic) Function | |
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Functions Approximating the Ideal Low-Pass Phase Response | |
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Bessel Function | |
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Rhodes Equidistant Linear-Phase Function | |
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Low-Pass Lumped Ladder Prototypes | |
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General Synthesis Technique | |
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Normalized Low-Pass Ladders | |
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Impedance and Frequency Scaling | |
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Impedance Scaling | |
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Frequency Scaling | |
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LC Filter Example | |
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Impedance and Admittance Inverter Ladders | |
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Low-Pass Prototypes | |
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Scaling Flexibility | |
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Bandpass Ladders | |
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Filter Examples | |
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Conclusions | |
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References | |
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Waveguides and Transmission Lines | |
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Introduction | |
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Rectangular Waveguides and Cavities | |
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Rectangular Waveguides | |
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Rectangular Cavities | |
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Circular Waveguides and Cavities | |
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Circular Waveguides | |
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Cylindrical Cavities | |
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Evanescent Modes | |
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Planar Transmission Lines | |
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Distributed Circuits | |
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Conclusions | |
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References | |
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Categorization of Microwave Filters | |
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Introduction | |
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Minimum-Phase Microwave Filters | |
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General Design Steps | |
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Minimum-Phase Filter Examples | |
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Non-Minimum-Phase Symmetrical Response Microwave Filters | |
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General Design Steps | |
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Non-Minimum-Phase Symmetrical Response Filter Examples | |
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Microwave Linear-Phase Filters | |
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Non-Minimum-Phase Asymmetrical Response Microwave Filters | |
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General Design Steps | |
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Non-Minimum-Phase Asymmetrical Response Filter Examples | |
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Multimode Microwave Filters by Optimization | |
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Conclusions | |
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References | |
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Minimum-Phase Filters | |
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Capacitive-Gap Filters for Millimeter Waves | |
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Introduction | |
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Capacitive-Gap Filters | |
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Capacitive-Gap Filter Structure | |
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Design Procedures | |
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Step-by-Step Design Example | |
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Filter Realizations | |
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Extension to Millimeter Waves | |
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Millimeter-Wave Technology | |
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Fifth-Order Chebyshev Capacitive-Gap Filter at 35 GHz | |
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Electromagnetic Characterization of SSS | |
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Conclusions | |
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References | |
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Evanescent-Mode Waveguide Filters with Dielectric Inserts | |
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Introduction | |
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Evanescent-Mode Waveguide Filters | |
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Scattering and ABCD Descriptions of the Structure | |
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Equivalent Circuit of the Structure | |
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Filter Design Procedure | |
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Design Examples and Realizations | |
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Folded Evanescent-Mode Waveguide Filters | |
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Scattering and ABCD Descriptions of the Additional Elements | |
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Filter Design Procedure | |
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Design Examples and Realizations | |
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Conclusions | |
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References | |
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Interdigital Filters | |
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Introduction | |
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Interdigital Filters | |
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Design Method | |
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Prototype Circuit | |
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Equivalent Circuit | |
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Input and Output | |
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Case of Narrowband Filters | |
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Frequency Transformation | |
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Physical Parameters of the Interdigital Filter | |
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Design Examples | |
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Wideband Example | |
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Narrowband Example | |
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Realizations and Measured Performance | |
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Conclusions | |
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References | |
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Combline Filters Implemented in SSS | |
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Introduction | |
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Combline Filters | |
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Design Method | |
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Prototype Circuit | |
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Equivalent Circuit | |
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Input and Output | |
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Feasibility | |
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Physical Parameters of the Combline Structure | |
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Design Example | |
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Realizations and Measured Performance | |
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Conclusions | |
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References | |
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Non-Minimum-Phase Symmetrical Response Filters | |
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Generalized Interdigital Filters with Conditions on Amplitude and Phase | |
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Introduction | |
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Generalized Interdigital Filter | |
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Simultaneous Amplitude and Phase Functions | |
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Minimum-Phase Functions with Linear Phase | |
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Non-Minimum-Phase Functions with Simultaneous Conditions on the Amplitude and Phase | |
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Synthesis of Non-Minimum-Phase Functions with Simultaneous Conditions on the Amplitude and Phase | |
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Design Method | |
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Even-Mode Equivalent Circuit | |
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Frequency Transformation | |
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Physical Parameters of the Interdigital Structure | |
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Design Example | |
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Realizations and Measured Performance | |
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Conclusions | |
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References | |
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Temperature-Stable Narrowband Monomode TE[subscript 011] Linear-Phase Filters | |
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Introduction | |
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TE[subscript 011] Filters | |
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Low-Pass Prototype | |
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Amplitude | |
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Delay | |
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Synthesis of the Low-Pass Prototype | |
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Design Method | |
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Matching the Coupling | |
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Selecting the Cavities | |
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Defining the Coupling | |
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Design Example | |
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Realizations and Measured Performance | |
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Amplitude and Phase Performance | |
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Temperature Performance | |
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Conclusions | |
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References | |
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Non-minimum-Phase Asymmetrical Response Filters | |
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Asymmetrical Capacitive-Gap Coupled Line Filters | |
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Introduction | |
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Capacitive-Gap Coupled Line Filters | |
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Synthesis of Low-Pass Asymmetrical Generalized Chebyshev Filters | |
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In-Line Network | |
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Analysis of the In-Line Network | |
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Synthesis of the In-Line Network | |
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Frequency Transformation | |
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Design Method | |
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Design Example | |
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Realization of the CGCL Filter | |
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Conclusions | |
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References | |
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Asymmetrical Dual-Mode TE[subscript 102]/TE[subscript 301] Thick Iris Rectangular In-Line Waveguide Filters with Transmission Zeros | |
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Introduction | |
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TE[subscript 102]/TE[subscript 301] Filters | |
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Synthesis of Low-Pass Asymmetrical Generalized Chebyshev Filters | |
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Fundamental Element | |
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Analysis of the In-Line Network | |
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Synthesis by Simple Extraction Techniques | |
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Frequency Transformation | |
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Design Method | |
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Equivalent Circuit of Monomode and Bimode Cavities | |
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Optimization Approach | |
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Design Example | |
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Realizations and Measured Performance | |
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Third-Order Filter with One Transmission Zero | |
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Fourth-Order Filter with Two Transmission Zeros | |
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Conclusions | |
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References | |
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Asymmetrical Cylindrical Dual-Mode Waveguide Filters with Transmission Zeros | |
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Introduction | |
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Dual-Mode Cylindrical Waveguide Filters | |
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Synthesis of Low-Pass Asymmetrical Generalized Chebyshev Filters | |
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Synthesis From a Cross-Coupled Prototype | |
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Extracting the Elements from the Chain Matrix | |
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Coupling Graph and Frequency Transformation | |
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Design Method | |
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Rotation Matrix | |
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Cruciform Iris | |
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Physical Parameters of the Irises | |
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Realizations and Measured Performance | |
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Fourth-Order Filter with One Transmission Zero on the Left | |
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Fourth-Order Filter with Two Ransmission Zeros on the Right | |
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Sixth-Order Filter with One Transmission Zero on the Right | |
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Conclusions | |
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References | |
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Asymmetrical Multimode Rectangular Building Block Filters Using Genetic Optimization | |
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Introduction | |
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Multimode Rectangular Waveguide Filters | |
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Optimization-Based Design | |
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Genetic Algorithm | |
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Example | |
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Realizations | |
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Fourth-Order Filter with Two Transmission Zeros | |
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Seventh-Order Filter with Four Transmission Zeros | |
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Extension to a Tenth-Order Filter with Six Transmission Zeros | |
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Conclusions | |
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References | |
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Lossless Systems | |
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Redundant Elements | |
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Modal Analysis of Waveguide Step Discontinuities | |
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Trisections with Unity Inverters on the Inside or on the Outside | |
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Reference Fields and Scattering Matrices for Multimodal Rectangular Waveguide Filters | |
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Index | |