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Multilayer signal-interference fourth-order high-selectivity dual-band bandpass filter with multiple transmission zeros

Published online by Cambridge University Press:  14 July 2025

Li Yang
Affiliation:
Department of Signal Theory and Communications, University of Alcalá, Alcalá de Henares, Spain
Mohamed Malki
Affiliation:
Department of Signal Theory and Communications, University of Alcalá, Alcalá de Henares, Spain
Xi Zhu
Affiliation:
Faculty of Engineering and IT, School of Electrical and Data Engineering, University of Technology Sydney, Ultimo, NSW, Australia
Roberto Gómez-García*
Affiliation:
Department of Signal Theory and Communications, University of Alcalá, Alcalá de Henares, Spain
*
Corresponding author: Roberto Gómez-García; Email: roberto.gomezg@uah.es
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Abstract

A type of signal-interference fourth-order dual-band bandpass filter (BPF) with multiple out-of-band transmission zeros (TZs) is reported. A second-order dual-band BPF block is firstly discussed, which is composed of two microstrip-to-slotline vertical transitions that are back-to-back connected by means of an in-parallel asymmetrical microstrip-line-based closed loop. It exhibits spectrally symmetrical passbands regarding the design frequency fD and three TZs at the inter-band region. Subsequently, by using stepped-impedance-line segments at the longest path of the transversal signal-interference closed loop, its dual-band BPF counterpart with second-order spectrally asymmetrical dual passbands is presented. Next, in order to increase the filter order as well as the number of out-of-band TZs for augmented stopband attenuation, a fourth-order dual-band BPF circuit is conceived. To this aim, two Y-shaped stepped-impedance microstrip stubs are loaded at the input and output ports of the previously devised second-order frequency-symmetrical dual-band BPF block. The RF operational principles of all these dual-band BPFs are detailed through their associated transmission-line-based equivalent circuits. Moreover, for experimental-demonstration purposes, a 1.154-/2.818-GHz two-layer microstrip proof-of-concept prototype of a fourth-order sharp-rejection dual-band BPF is designed, simulated, and characterized. It features inter-band power-rejection levels higher than 28.68 dB and lower-/upper-stopband attenuation levels above 40.92 dB from DC to 4.64 GHz.

Information

Type
Research Paper
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
© The Author(s), 2025. Published by Cambridge University Press in association with The European Microwave Association.
Figure 0

Figure 1. 3D layout of the proposed fourth-order high-selectivity dual-band BPF with multiple TZs composed of (i) two microstrip-to-slotline vertical transitions with two shunted Y-shaped stepped-impedance microstrip lines loaded at the input and output accesses on the top layer and (ii) a transversal signal-interference microstrip closed loop on the bottom layer.

Figure 1

Figure 2. TL-based equivalent circuit of the proposed high-selectivity fourth-order dual-band BPF with multiple TZs corresponding to the layout shown in Fig. 1.

Figure 2

Figure 3. Theoretical power transmission (|S21|) and reflection (|S11|) responses of the proposed second-order spectrally symmetrical dual-band BPF with inter-dual-passband-TZ FBW of 51.5% and minimum inter-band power-rejection level of 20 dB (normalized design impedances: zm = 0.5536, zs = 1.4324, zm3 = 0.9176, and zm4 = 1.2642) and a comparative fifth-order wideband BPF specified with in-band equi-ripple level of 0.043 dB (i.e., minimum in-band power-matching level of 20.06 dB) and FBW of 105% (normalized design impedances: zm = 1.0922, zs = 1.5884, and zm3 = zm4 = 0.7446).

Figure 3

Figure 4. Theoretical power transmission (|S21|) and reflection (|S11|) responses of the proposed second-order frequency-symmetrical dual-band BPF with different inter-dual-passband TZ FBWs of 54.8%, 51.5%, and 47.2% along with their associated r values of 1.3056, 1.3777, and 1.4731, but with the same minimum inter-band power-rejection level of 20 dB and minimum in-band power-matching levels of 22.585 dB (case I: zm = 0.3696, zs = 1.4324, zm3 = 1.3182, and zm4 = 1.721; case II: zm = 0.5536, zs = 1.4324, zm3 = 0.9176, and zm4 = 1.2642; and case III: zm = 0.3716, zs = 1.933, zm3 = 0.5132, and zm4 = 0.756).

Figure 4

Figure 5. Proposed second-order frequency-asymmetrical dual-band BPF. (a) Conceived stepped-impedance TL-based circuit acting as the longest path of the transversal signal-interference in-parallel-connected TL closed loop in Fig. 2. (b) Theoretical power transmission (|S21|) and reflection (|S11|) responses of the designed second-order dual-band BPF with two frequency-asymmetrical passbands and three inter-band TZs (normalized design impedances: zm = 0.7002, zs = 1.7824, zm3 = 0.652, zm41 = 1.086, and zm42 = 1.734).

Figure 5

Figure 6. Theoretical power transmission (|S21|) and reflection (|S11|) responses of the proposed high-selectivity fourth-order frequency-symmetrical dual-band BPF in Fig. 2 (normalized design impedances: zm = 1.356, zs = 1.322, zm1 = 1.638, zm2 = 0.424, zm3 = 0.938, and zm4 = 1.616).

Figure 6

Figure 7. Proposed fourth-order frequency-asymmetrical dual-band BPF. (a) Conceived transmission-line equivalent circuit with zm = 58.5 Ω, zm1 = 102.2 Ω, zm2 = 85.2 Ω, zm3 = 32.7 Ω, zm41 = 54.6 Ω, zm42 = 90.5 Ω, zm43 = 53.7 Ω, zs = 87 Ω, θ = θ1 = 90°, θ21 = 61.7°, θ22 = 33.2°, θ23 = 59.7°, θ31 = 30.5°, and θ32 = 71.2°. (b) Theoretical power transmission (|S21|) and reflection (|S11|) responses.

Figure 7

Figure 8. Photographs of the manufactured two-layer microstrip prototype of high-selectivity fourth-order frequency-symmetrical dual-band BPF corresponding to the layout in Fig. 1 (dimensions: lin = lout = 45, L1 = 21.68, L2 = 22.27, L3 = 22.9, L4 = 9.07, L5 = 3.74, L6 = 10.65, L7 = 29.98, L8 = 33.79, L9 = 6.65, L10 = 32.8, win = wout = 1.82, W1 = 1.062, W2 = 0.69, W3 = 3.06, W4 = 0.43, W5 = 0.78, W6 = 1.77 [unit: mm], α1 = 45°, and α2 = 90°]. (a) Top-layer view. (b) Bottom-layer view. (c) Middle-layer view.

Figure 8

Figure 9. Frequency responses of the manufactured two-layer microstrip prototype of high-selectivity fourth-order frequency-symmetrical dual-band BPF in Fig. 8. (a) Theoretical, em-simulated, and measured power transmission (|S21|) and reflection (|S11) responses. (b) Em-simulated and measured in-band group-delay (τg) responses.

Figure 9

Figure 10. Comparison of the simulated power transmission (|S21|) and reflection (|S11|) responses (i.e., ideal case) in Fig. 9(a) and two cases attributed to all the dimensions with a machining tolerance of ±0.03 mm for the high-selectivity fourth-order frequency-symmetrical dual-band BPF in Fig. 8.

Figure 10

Table 1. Comparison with other prior-art high-selectivity dual-band BPFs