Open AccessSystem modelling and synthesis of stepped impedance resonators and filters
Author(s) -
Ur Rehman Sajjad,
Alkanhal Majeed A.S.
Publication year - 2019
Publication title -
iet microwaves, antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.555
H-Index - 69
eISSN - 1751-8733
pISSN - 1751-8725
DOI - 10.1049/iet-map.2018.5772
Subject(s) - impulse response , transfer function , resonator , matrix pencil , electrical impedance , frequency response , control theory (sociology) , equivalent circuit , frequency domain , filter (signal processing) , electronic engineering , constant k filter , pole–zero plot , topology (electrical circuits) , filter design , m derived filter , engineering , computer science , mathematics , physics , mathematical analysis , voltage , electrical engineering , eigenvalues and eigenvectors , control (management) , quantum mechanics , artificial intelligence
This study presents system‐based models of stepped impedance resonators (SIRs) based on the singularity expansion method. Analytical expressions of the transfer function and the impulse response for two types of dual‐band step resonators are derived (open‐circuited λ /2 and short‐circuited λ /4) for general impedance ratio ( K ). The accurate physical poles of the structures are acquired using a pole‐energy‐based refined matrix pencil scheme. Then, the frequency domain expression is used to develop a precise equivalent lumped element circuit model for the dual‐band SIRs. Based on that, a direct pole‐zero placement synthesis method is applied to design a three‐stage dual band‐pass filter. Very good matching between the transfer function of the system model and the frequency response data of the synthesised SIR filter is observed. The explored system‐based modelling and synthesis procedures can be generalised systematically to design more complex filter structures .