학술논문

Synthesis of Wideband Cross-Coupled Resonator Filter for Direct Circuit Implementation Using Lumped Elements
Document Type
Periodical
Source
IEEE Microwave and Wireless Technology Letters IEEE Microw. Wireless Tech. Lett. Microwave and Wireless Technology Letters, IEEE. 33(6):815-818 Jun, 2023
Subject
Fields, Waves and Electromagnetics
Band-pass filters
Couplings
Wideband
Microwave filters
Resonator filters
Admittance
Inductive coupling
Admittance matrix
lumped element
similarity transformation
synthesis method
wideband bandpass filter (BPF)
Language
ISSN
2771-957X
2771-9588
Abstract
A synthesis method of wideband cross-coupled resonator filter with inductive and capacitive coupling components is presented using similarity transformation. The synthesized admittance matrix can fully represent the frequency-dependent characteristics of the J-inverters that are used to implement the coupling components. All negative inductive-coupling elements obtained from the conventional wideband filter synthesis method can be transformed to positive capacitive coupling elements by solving the equation derived from similarity transformation, so that the resulted admittance matrix can be directly implemented using lumped elements. All values of the lumped elements can be calculated without any optimization. A third-order triplet with fractional bandwidth (FBW) of 50% and one transmission zero (TZ) in the lower stopband and a fourth-order quadruplet with FBW of 50% and two symmetric TZs are synthesized to demonstrate the proposed method.