Artigo Acesso aberto Revisado por pares

Wideband bandpass‐to‐all‐stop reconfigurable filtering power divider with bandwidth control and all‐passband isolation

2018; Institution of Engineering and Technology; Volume: 12; Issue: 11 Linguagem: Inglês

10.1049/iet-map.2017.0714

ISSN

1751-8733

Autores

Zheng Zhuang, Yongle Wu, Yuanan Liu, Zabih Ghassemlooy,

Tópico(s)

Full-Duplex Wireless Communications

Resumo

IET Microwaves, Antennas & PropagationVolume 12, Issue 11 p. 1852-1858 Research ArticleFree Access Wideband bandpass-to-all-stop reconfigurable filtering power divider with bandwidth control and all-passband isolation Zheng Zhuang, Zheng Zhuang School of Electronic Engineering, Beijing University of Posts and Telecommunications, P.O. Box 282, 100876 Beijing, People's Republic of ChinaSearch for more papers by this authorYongle Wu, Corresponding Author Yongle Wu wuyongle138@gmail.com orcid.org/0000-0002-3269-7143 School of Electronic Engineering, Beijing University of Posts and Telecommunications, P.O. Box 282, 100876 Beijing, People's Republic of ChinaSearch for more papers by this authorYuanan Liu, Yuanan Liu School of Electronic Engineering, Beijing University of Posts and Telecommunications, P.O. Box 282, 100876 Beijing, People's Republic of ChinaSearch for more papers by this authorZabih Ghassemlooy, Zabih Ghassemlooy Faculty of Engineering and Environment, Northumbria University, Newcastle upon Tyne, NE1 8ST UKSearch for more papers by this author Zheng Zhuang, Zheng Zhuang School of Electronic Engineering, Beijing University of Posts and Telecommunications, P.O. Box 282, 100876 Beijing, People's Republic of ChinaSearch for more papers by this authorYongle Wu, Corresponding Author Yongle Wu wuyongle138@gmail.com orcid.org/0000-0002-3269-7143 School of Electronic Engineering, Beijing University of Posts and Telecommunications, P.O. Box 282, 100876 Beijing, People's Republic of ChinaSearch for more papers by this authorYuanan Liu, Yuanan Liu School of Electronic Engineering, Beijing University of Posts and Telecommunications, P.O. Box 282, 100876 Beijing, People's Republic of ChinaSearch for more papers by this authorZabih Ghassemlooy, Zabih Ghassemlooy Faculty of Engineering and Environment, Northumbria University, Newcastle upon Tyne, NE1 8ST UKSearch for more papers by this author First published: 21 May 2018 https://doi.org/10.1049/iet-map.2017.0714Citations: 9AboutSectionsPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Abstract A novel wideband bandpass-to-all-stop reconfigurable filtering power divider is proposed in this study, which allows for four-order bandpass-to-all-stop reconfigurable operating function and equal power division. Its circuit configuration includes the cascaded coupled-line sections with tight coupling to extend the impedance transforming. Furthermore, with the introduction of the half-wavelength open-circuit stubs, which controls the bandwidth, extra transmission poles located at the cut-off frequency are generated, thus resulting in high frequency selectivity. Moreover, by using a single resistor between input coupled-lines, the high all-passband isolation can be achieved. The grounding are then loaded to the output coupled-lines to enable bandpass-to-all-stop operating functionality. For demonstration, a prototype operating at 2 GHz is designed, simulated, and measured with a 15 dB bandwidth of 51%, 19 dB stopband rejection up to 5 GHz, and 14.5 dB all-passband isolation, which shows a good agreement between the simulated and measured results. 1 Introduction Power dividers (PDs) are widely applied in microwave and wireless communication systems, especially in the power amplifiers, mixers, and antenna arrays. For further rejection of the interference signals at the radio frequency/microwave front end, filters connected in series with PDs are normally used, which results in a bulky circuit size and a high insertion loss. With the ever increasing demands for high-performance microwave devices, PDs with filtering responses have been investigated extensively [[1]–[18]], owing to the high frequency selectivity and miniaturisation. In [[1]], two Butterworth filter transformers were integrated in Wilkinson PDs, leading to the two functions of the power split and filtering response. However, the narrow stopband feature limits its applications in multi-standard wireless communications. In order to extend the stopband suppressing the out-of-band interference, a compact net-type resonator was utilised to achieve the filtering PD (FPD) with Chebyshev- or quasi-elliptic responses [[2]]. In addition, the two short-circuit half-wavelength stepped-impedance resonators [[3]] and dual mode resonators [[4]] were embedded into the conventional quarter-wavelength transmission lines (TLs), respectively, for the desired wide stopband. Nevertheless, the main shortcomings of these designed PDs with wide stopband are the very narrow passband and poor isolation. Hence, a simple stub-loaded ring resonator was presented to realise the wideband filtering response [[5]], but with no consideration of output isolation. For achieving high output isolation, the coupled-line (CL) section with a half-wavelength open-circuit stub (OCS) was selected as a wideband bandpass FPD with high frequency selectivity in [[6], [7]] and further improvement in stopband rejection would be better. Moreover, the highly symmetric structure can also provide the improved in-band isolation, suffering from difficult accuracy fabrication [[8]]. Based on the CL structure, a wideband filtering PD with ultra-wide stopband is reported in [[9]], but the achieved high isolation needs lumped elements. In addition, researches working on FPDs have mostly focused on the arbitrary power ratios [[10], [11]], dual-band [[12], [13]], and multi-way operation [[14], [15]]. Besides, utilising the integrated design of FPDs for miniaturisation in multifunctional components, the tunable components can be used instead in multi-frequency systems [[16]–[20]]. In [[16]], the varactors loaded onto the open end of each coupled resonator were adopted to obtain the desired tunable frequency, which is difficult for maintaining the constant absolute bandwidth. By using varactors in place of the capacitors, which controls the coupling coefficients and external quality factors, frequency agility with a constant absolute bandwidth was realised [[17]], however the isolation should be further improved. Recently, combinations of inductor, capacitor, and varactors were adopted to design a frequency and bandwidth both controllable FPD [[18]]. The quasi-bandpass structure is used to achieve a reconfigurable single-/multi-band FPD [[19]]. Based on the connection of resonators to the branches through impedance inverters, a Wilkinson-type PD with tunable frequency and bandwidth is presented in [[20]]. In these reported investigations, the tunable devices generally used varactors or switches to tune the operating frequency or the bandwidth. To the best of authors' knowledge, there are few works reported on PDs with reconfigurable operating function applied in complex multifunctional systems. In this paper, a wideband four-order bandpass-to-all-stop reconfigurable equal FPD is proposed based on the cascaded CLs with tight coupling and the centre loaded half-wavelength OCSs. At first, two cascaded CLs are used for inherent impedance transformation with a filtering response for different terminated impedances. Then, by using the half-wavelength OCS, extra transmission poles (TPs) and transmission zeros are generated to ensure a wide stopband and a sharp cut-off in the four-order passband. Moreover, the passband bandwidth can be controlled effectively by the characteristic impedance of OCS. Finally, based on the even-/odd-mode analysis, good all-passband isolation is achieved using a single resistor. Additionally, all-stop operation is realised by grounding the open end of output CL. To sum up, the main advantages of the proposed FPD can be summarised as: (i) good in-band return loss, (ii) wideband bandwidth control, (iii) high all-passband isolation, (iv) bandpass-to-all-stop reconfigurable functionality, (v) arbitrary real terminated impedances, and (vi) high stopband rejection and frequency selectivity with four TPs. 2 Design theory of the proposed FPD Fig. 1 depicts the proposed wideband reconfigurable FPD circuit configuration, which is composed of cascaded CLs with tight coupling and centre-loaded half-wavelength OCSs. Based on even-/odd-mode analysis, the S-parameters of the designed FPD with arbitrary source and load impedances (ZS, ZL) can be obtained. Moreover, the corresponding even-/odd-mode equivalent circuits are illustrated in Fig. 2. For analysing the cascaded CLs, the generalised four-port CL structure with current and voltage definitions is depicted in Fig. 2a and the circuit models of the modified two-port CLs with different terminations are displayed in Fig. 3. Fig. 1Open in figure viewerPowerPoint Circuit configuration of the proposed bandpass-to-all-stop reconfigurable filtering power divider Fig. 2Open in figure viewerPowerPoint Equivalent circuits of the proposed wideband reconfigurable FPD (a) Even mode with left-hand side excitation, (b) Even mode with right-hand side excitation, (c) Odd mode with right-hand side excitation Fig. 3Open in figure viewerPowerPoint Circuit model of the modified two-port CL with (a) Two open-circuit terminations, (b) Single resistor (R/2), (c) Short- and an open-circuit termination 2.1 Even-mode analysis In an even-mode equivalent circuit, the terminal currents of the modified two-port CL structure with open-circuit termination shown in Fig. 3a can be expressed as (1) Combining (1) with the TL theory [[21]], the impedance matrix of the two-port CL structure is deduced as (2a) where θ is the electrical length of CLs and for simplification we have assumed that (2b) where Ze and Zo are the even-/odd-mode impedances of the modified two-port CL structure, respectively. Then, based on (2) the even-mode input impedances of the wideband bandpass FPD with the left-hand side excitation as in Fig. 2a can be obtained (3) where Za1, Za2, Zb1, and Zb2 can be calculated by (2b). Additionally, Zc stands for the characteristic impedance of the half-wavelength OCS and ZL denotes the load impedance. Therefore, the reflection coefficient Γine at the input port 1 for the even-mode equivalent circuit and the corresponding parameter S11 of the proposed wideband bandpass FPD can be calculated as (4) where ZS is the source impedance. Similarly, the even-mode input impedances of the wideband bandpass FPD with the right-hand side excitation as in Fig. 2b can be defined as (5) Based on (5), the corresponding reflection coefficient Γoute at the output port 2 for the even-mode equivalent circuit is calculated as (6) 2.2 Odd-mode analysis In the odd-mode equivalent circuit, the terminal voltages and currents of the modified two-port CL structure with a single resistor (R/2) termination shown in Fig. 3b can be expressed as (7) Combining (7) with the TL theory [[21]], the impedance matrix of the two-port CL structure is deduced as (8) and (9) Accordingly, based on (8) the odd-mode input impedances of the wideband bandpass FPD with the right-hand side excitation in Fig. 2c are given (see (10)). Based on (10), the corresponding reflection coefficient Γouto at the output port 2 for the odd-mode equivalent circuit is calculated as (10) (11) In order to achieve the good all-passband isolation, the parameter S23 needs to be given (12) where Γoute and Γouto are the reflection coefficients at the output port for the even-/odd-mode equivalent circuit, respectively, which can be calculated by (6) and (11). According to the required input matching S11 with a wideband filtering response and high isolation condition (S23 = 0), the corresponding characteristic impedances of CLs with the electrical length of 90° (i.e. θ = 90° at the centre frequency) and half-wavelength OCSs can be obtained based on (4) and (12). Fig. 4 shows the S-parameters as a function of the frequency for the proposed FPD with optimal impedances of Ze1 = 153 Ω, Zo1 = 14.4 Ω, Ze2 = 168.6 Ω, Zo2 = 51.4 Ω, and with/without the OCS of Zc = 105 Ω. For the proposed bandpass FPD with OCSs, the bandwidth of 15 dB return loss is 80% across the 1.2–2.8 GHz frequency band. The all-passband isolation achieved by a single resistor of 140 Ω is below −19 dB. The stopband suppression is better than 17 dB up to 5 GHz. However, for the bandpass FPD without OCSs, the in-band return loss is >15 dB with a bandwidth of 44% over the frequency range of 1.56–2.44 GHz. The stopband suppression and the out-of-band isolation are attenuated by 6 and 10 dB, respectively. Therefore, from Fig. 4a it can be seen that the half-wavelength OCS can add extra TPs at the cut-off frequency for extending the bandwidth and improving the skirt selectivity with no additional insertion loss. Furthermore, the stopband suppression and out-of-band isolation are also improved. Note that the modified two-port CL with short end and open end (see Fig. 3c) would become an all-stop filtering structure [[22]], thus leading to the potential of bandpass-to-all-stop transformation as depicted in Fig. 4b. For all-stop case, the ideal insertion loss (|S21|) and isolation (|S23|) are larger than 200 and 400 dB, respectively. Fig. 4Open in figure viewerPowerPoint Ideal simulated S-parameters of the proposed (a) Bandpass FPD, (b) All-stop FPD 3 Example analysis of the proposed FPD To verify our proposed analytical design approaches and circuit structure, four typical numerical examples are designed and simulated. Fig. 5 illustrates the S-parameters with different properties, including fractional bandwidth, in-band return loss, isolation, and insertion loss. The corresponding circuit parameters are listed in Table 1. All examples are simulated by Advanced Design System (ADS) software. Fig. 5Open in figure viewerPowerPoint Ideal simulated S-parameters for typical four cases (a) Case A, (b) Case B, (c) Case C, (d) Case D Table 1. Different parameters of the four cases Case Design goal Design parameter A FBW: 56% Ze1 = 152.7 Ω; Zo1 = 46 Ω; RL (in-band): −15 dB Ze2 = 160 Ω; Zo2 = 70 Ω; isolation: −19 dB Zc = 28 Ω; R = 197 Ω; ZS = ZL = 50 Ω θ = 0.5π; B FBW: 70% Ze1 = 158 Ω; Zo1 = 30 Ω; RL (in-band): −15 dB Ze2 = 173 Ω; Zo2 = 65 Ω; isolation: −17 dB Zc = 60 Ω; R = 177 Ω; ZS = ZL = 50 Ω θ = 0.5π; C FBW: 56% (15 dB) Ze1 = 139 Ω; Zo1 = 22 Ω; RL (in-band): −21 dB Ze2 = 162.4 Ω; Zo2 = 72 Ω; isolation: −18 dB Zc = 31 Ω; R = 130 Ω; ZS = ZL = 50 Ω θ = 0.5π; D FBW: 50% Ze1 = 150 Ω; Zo1 = 46 Ω; RL (in-band): −25 dB Ze2 = 160 Ω; Zo2 = 65 Ω; isolation: −20 dB Zc = 28 Ω; R = 240 Ω; ZS = 40; ZL = 60 Ω θ = 0.5π; FBW, fractional bandwidth; RL, return loss. In Fig. 5a, the in-band return loss is better than 15 dB with a bandwidth of 56% ranging from 1.44 to 2.56 GHz. The 19 dB isolation is across the entire passband. Additionally, the stopband suppression is below −36 dB up to 5 GHz. Next, in Fig. 5b maintaining the in-band return loss better than 15 dB, the bandwidth is added to 70% from 1.79 to 2.71 GHz by mainly increasing the value of the characteristic impedance for the half-wavelength OCS, whereas the in-band isolation and stopband suppression are declined to −17 and −25.7 dB, respectively. Comparing Fig. 5a with Fig. 5c, the in-band return loss can be improved to 21 dB with maintaining the 15 dB bandwidth of 56% by mainly changing the tight degree of the input CL while the in-band isolation and stopband suppression are reduced to −18 and −31 dB, respectively. Moreover, the bandwidth of 21 dB in-band return loss is about 53%, thus displaying high frequency selectivity. In addition, for the proposed FPD with different terminated impedances and with the in-band return loss >25 dB, the wide passband is within frequency range of 1.5–2.5 GHz. Accordingly, as shown in Figs. 5a and b, although the stopband suppression is reduced with increasing the bandwidth, an excellent in-band return loss (S11) and a high all-passband isolation (S23) can still be achieved. The bandwidth of the proposed wideband passband FPD can be mainly controlled by the half-wavelength OCS. Moreover, maintaining the bandwidth unchanged, the in-band return loss can be defined artificially by the tight degree of the input CL from Fig. 5c, thus leading to improve flexibility in practical applications. In addition, even though the source and load impedances are different in Fig. 5d, an improved performance can also be achieved by using the proposed design approach. Compared with other reported works [[1]–[18]], the proposed FPD in this paper can achieve an improved return loss of <−15 dB, a controllable wideband bandwidth of >50%, all-passband isolation of <−15 dB, higher stopband suppression of <−15 dB, and a reconfigurable circuit structure (bandpass-to-all-stop). 4 Implementation and measured results In order to verify the developed theoretical concept, we have selected one of cases in Section 3, i.e. case A operating at the centre frequency f0 of 2 GHz in Fig. 5 for fabrication on a RO4350B substrate with a relative permittivity of 3.48, loss tangent of 0.0037, and thickness of 1.524 mm. Fig. 6 shows the layout and photograph of the designed wideband reconfigurable FPD showing the main dimensions: w1 = 0.72 mm, s1 = 0.1 mm, l1 = 23.47 mm, w2 = 0.56 mm, s2 = 0.43 mm, l2 = 24.45 mm, wc = 8 mm, lc1 = 18.75 mm, lc2 = 19.9 mm, and w0 = 3.43 mm. The size of the circuit configuration is 0.88λg × 0.88λg. Note that the via hole is used to achieve bandpass-to-all-stop transformation by means of grounding. The electromagnetic (EM) simulations are performed by ADS software, and the measured results are obtained by the vector network analyser of ROHDE&SCHWARZ ZVA8. Fig. 6Open in figure viewerPowerPoint Proposed wideband reconfigurable FPD circuit (a) Layout, (b) Photograph Figs. 7 and 8 illustrate the theoretical, EM simulated and measured results. As shown in Fig. 7a, for the 15 dB in-band return loss the measured bandwidth is about 51% within the frequency range of 1.41–2.43 GHz, and the measured stopband suppression is better than 19 dB up to 5 GHz. Furthermore, from Fig. 7b the measured isolation is below −14.5 dB across the entire passband, and the maximal measured isolation is 42.1 dB near the operating band. Additionally, the measured |S21| and |S31| parameters at 2 GHz are about 3.62 and 3.59 dB, respectively, whereas the in-band phase difference in Fig. 7c between the two output ports is about 4.4°. By grounding the output CL section, the theoretical, EM simulated, and measured results for the all-stop FPD are shown in Fig. 8. For all-stop case, the measured insertion loss (|S21|) and isolation (|S23|) are higher than 14 and 25 dB, respectively. It can be seen that there is a good agreement between the simulated and measured results, thus validating the proposed circuit configuration and design theory. In fact, the phase constant of CL under even- and odd-mode excitation are not exactly the same in theory, especially for high frequency case. However, this difference can be generally ignored in circuit analysis. Therefore, the discrepancies between theoretical and measured results are created in practical applications, but the good performances including return loss, isolation, and stopband suppression still can be obtained, as shown in Fig. 7. Besides, the discrepancies in Fig. 8 may be produced by the fabricated via holes simulating ground, connector losses, the effect of soldering, and manufacturing errors. Finally, a comparison between the proposed FPD and other published works is listed in Table 2. Fig. 7Open in figure viewerPowerPoint Theoretical, EM simulated, and measured results of the proposed bandpass FPD (a) S11 and S21, (b) S22 and S23, (c) Phase imbalance and amplitude imbalance Fig. 8Open in figure viewerPowerPoint Theoretical, EM simulated, and measured results of the proposed all-stop FPD Table 2. Comparison with other reported works Refs. f0, GHz FBW/RL (in-band) BW/IL (stopband) Isolation BCa/BPTASb [[2]] 0.9 4.2% 5f0 11 dB –/– 19 dB 28 dB all-passband [[3]] 0.9 22.2% 22.2f0 20 dB –/– 10 dB 10 dB narrow band [[4]] 2.41 4.1% 1.8f0 10 dB –/– 10 dB 15 dB narrow band [[5]] 2.05 62% 0.95f0 10 dB –/– 10 dB 16 dB narrow band [[6]] 3.01 70% f0 15 dB +/– 14 dB 13 dB all-passband [[17]] 0.62–0.85 4.4–6% — 16 dB –/– 10 dB — all-passband [[18]] 1.3–2.08 4.8–7.7% — 26 dB +/– 10 dB — all-passband this work 2 51% 1.2f0 14.5 dB +/+ 15 dB 19 dB all-passband RL, return loss; IL, insertion loss. a Bandwidth control. b Bandpass-to-all-stop. To the best of authors' knowledge, this work is the first to report on achieving a wideband bandpass-to-all-stop reconfigurable FPD. In comparison with the other work in this field (see Table 2), the proposed equal FPD has a wide bandwidth and an excellent return loss. Though the bandwidth reported in [[5], [6]] are higher, the proposed FPD scheme, as in case B and shown in Fig. 5b, achieves similar performance due to inherent bandwidth controllability. Moreover, the all-passband isolation is below −14.5 dB, which is better than that in [[2]–[5]], comparable with that in [[6]]. Although the isolation achieved in [[17], [18]] is higher, their stopband suppression was not considered. Additionally, by locating the extra TPs at the cut-off frequency in the proposed scheme, the skirt selectivity has been enhanced. 5 Conclusion In this paper, a novel wideband reconfigurable FPD with bandpass-to-all-stop responses and equal power division, as well as a controllable bandwidth feature is proposed. The analysis and circuit configuration is also provided, followed by the verification of a design example with a 15 dB bandwidth of 51%, 19 dB stopband suppression, and 14.5 dB isolation across the entire band by means of simulation and experiment. The proposed circuit with a wideband controllable bandwidth, good all-passband isolation, bandpass-to-all-stop reconfigurable function, impedance transforming, and high stopband rejection and frequency selectivity, is attractive in modern wireless communication systems. 6 Acknowledgments This work was supported by the National Natural Science Foundations of China (no. 61671084), BUPT Excellent PhD Students Foundation (CX2018109), Guangzhou Major Projects of Industrial Technology of China (Research and Development of Large-scale Multi-beam Antenna Array for 5G Massive MIMO Communication), and Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications), P. R. China. 7 References [1]Deng, P.-H., Chen, Y.-T.: 'New wilkinson power dividers and their integration applications to four-way and filtering dividers', IEEE Trans. Compon. Packag. Manufact. 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