Добавил:
Опубликованный материал нарушает ваши авторские права? Сообщите нам.
Вуз: Предмет: Файл:
Скачиваний:
0
Добавлен:
01.04.2024
Размер:
2.91 Mб
Скачать

This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination.

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES

1

Bandpass Filters Designed by Transmission Zero Resonator Pairs With Proximity Coupling

Quan Xue, Fellow, IEEE and Jun Ye Jin, Student Member, IEEE

Abstract— The concept of transmission zero resonator pair (TZRP) is used in this paper. Based on this TZRP, a new method to induce a passband is demonstrated, by which different types of bandpass filters can be designed. The proposed TZRP is structured by a pair of resonators with different resonant frequencies, which lead not only to two transmission zeroes, but also to a transmission pole between them. Passband filters can then be built by designing the proximity coupling between the TZRPs, as the TZRP works as a basic resonant element. The passband of these filters can be flexibly controlled by the resonators of TZRPs, which determine the locations of the transmission zeroes and poles. By carefully allocating the transmission zeroes, high selectivity and large out-of-band rejection can be realized. This design method is applied to design filters in two different transmission media, namely, microstrip line and rectangular waveguide. Simulated and measured results demonstrate the effectiveness of this new approach of bandpass filter design. The designed filters have the properties of small size, easy fabrication, low cost, and low loss.

Index Terms— Bandpass filter, microwave filter, transmission zero resonator pairs (TZRPs), transmission zeroes, waveguide filter.

I. INTRODUCTION

BANDPASS filters are generally designed by various kinds of resonators [1]–[3], which induce transmission poles at their resonances in the desired passbands. The generating

mechanism of transmission pole is mostly based on the resonances of single-mode, dual-mode, or multimode resonators [4], [5]. On the other hand, bandstop filters [6]–[8] can be realized by designing resonators which produce transmission zeroes at their resonant frequencies. Besides being used for designing bandstop filters, transmission zeroes are widely used to improve the out-of-band rejection performance of bandpass filters [9]–[12]. They are realized by cross-coupling technique [13], mixed electric/magnetic coupling [14], multipath effect, and source/load couplings. The method to design bandpass filters by resonators which directly bring transmission zeroes at their resonance was proposed in [15] and [16] using dual-behavior resonators (DBRs).

Manuscript received December 12, 2016; revised March 15, 2017 and April 18, 2017; accepted April 19, 2017. This work was supported in part by the National Key Basic Research Program of the Ministry of Science and Technology of China (973 Program) under Grant 2014CB339900 and in part by the National Natural Science Foundation of China under Grant 61372056.

(Corresponding authors: Quan Xue; Jun Ye Jin.)

The authors are with the State Key Laboratory of Millimeter Waves, Department of Electronic Engineering, City University of Hong Kong, Hong Kong, and also with the Shenzhen Key Laboratory of Millimeter Wave and Wideband Wireless Communications, CityU Shenzhen Research Institute, Shenzhen 518057, China (e-mail: junyejin2-c@my.cityu.edu.hk).

Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org.

Digital Object Identifier 10.1109/TMTT.2017.2697878

However, three sections of quarter-wavelength inverters were inevitable for the second-order filters, resulting in large sizes. In addition, straight and parallel arrangement of the resonators could not achieve size reduction. The DBRs were further designed in [17] and [18]. Similar to those in [15] and [16], the resonators were separated by quarter-wavelength inverters for high-order designs. Efforts have been made to reduce the size of this kind of filter by absorbing two equivalent capacitances of the inverter into neighboring resonators [19]. However, because wavelength-related inverters were used, the abovedesigned bandpass filters had the penalty of narrow bandwidth (less than 10%), which would limit its applications.

In this paper, proximity coupling instead of wavelengthrelated inverters will be utilized for a higher-order bandpass filter design, which greatly reduces filter sizes. Moreover, the bandwidth can be flexibly designed by controlling the locations of the two lower or upper transmission zeroes. The concept of transmission zero resonator pair (TZRP) is first used instead of the DBR. Because the transmission pole and passband performance are primarily determined by the two transmission zeroes, the TZRP can emphasize the important role of the two transmission zeroes induced by a pair of resonators with different resonant frequencies. Then, on the one hand, two transmission zeroes can be generated as expected. On the other hand, a transmission pole can also be produced by this TZRP. This is a very special feature and can be used as a basic resonant element for designing a passband. With this TZRP concept, a category of bandpass filter design approach comes out. When coupling two TZRPs, rather than using quarter-wavelength invertors, compact bandpass filters with two transmission poles and four transmission zeroes can be easily obtained. Two kinds of bandpass filters are introduced to demonstrate this new design method in two most popular transmission media, namely, microstrip line and rectangular waveguide. The measured results show very good performance for both microstrip and waveguide bandpass filters. The twopair design can be easily extended to the design of multiple pairs for dual-band bandpass filters [20].

II. CIRCUIT THEORY

For a systematic statement of the proposed method, we start from the basic element circuit. First, an LC resonator is considered as shown in Fig. 1. A transmission zero is induced by this series LC resonator. This transmission zero is located at the LC resonant frequency, which is 2.05 GHz (with L = 2 nH and C = 3 pF).

Then, for a pair of series LC resonators, as shown in Fig. 2(a), which are denoted by R1 consisting of L1 and C1

0018-9480 © 2017 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See http://www.ieee.org/publications_standards/publications/rights/index.html for more information.

This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination.

2

 

 

 

 

 

 

 

 

 

 

 

 

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Fig. 1. Transmission zero induced by a series LC resonator.

Fig. 3. Simulation results of a pair of shunt series LC resonators or TZRP.

Fig. 2. (a) Pair of series LC resonators. (b) Equivalent circuit when

ωz1 < ω < ωz2.

and R2 consisting of L2 and C2, two transmission zeroes are definitely induced at their resonant frequencies, and denoted by ωz1 and ωz2, respectively. So, this pair of resonators can be called TZRP, which is constructed by two series LC resonators with different resonant frequencies. The two transmission zeroes are

ωz21

=

1

 

(1)

L1C1

ωz22

=

1

.

(2)

 

L2C2

R1 behaves as an inductor when ω > ωz1, while it equals a capacitor when ωz1 < ω. Similarly, for R2, it behaves as an inductor when ω > ωz2, while it equals a capacitor when ωz2 < ω. Assuming ωz2 > ωz1, for a frequency ω(ωz1 < ω < ωz2), R1 is an equivalent inductor, which is denoted by Le, as shown in Fig. 2(b). Le is calculated by

Le = L1

1

(3)

ω2C1 .

For R2, it behaves as a capacitor denoted by Ce, which is

Ce =

C2

(4)

1 ω2 L2C2 .

Then, Le from R1 and Ce from R2 characterize a parallel LC resonator denoted by Re, which would lead to a transmission pole at its resonant frequency. The transmission pole is determined by

ω2

 

1

 

 

 

 

1

 

 

.

(5)

= LeCe

= L1

ω2C1

 

1ω2 L2C2

 

 

 

 

 

 

1

 

C2

 

 

 

It can be seen from (5) that a transmission pole ω p can then be produced as

 

C2

 

2

1 + C1

 

ω p =

 

.

(6)

L1C2 + L2C2

For simplicity of description, a cross-resonance frequency is defined as

ω212

=

1

(7)

L2C1 .

By substituting (1), (2), and (7) into (6), the following can be obtained:

2

ωz21ωz22 + ωz21

ω212

 

ω p =

ωz21 + ω212

 

.

(8)

Equation (8) shows that the newly induced transmission pole between the transmission zeroes ωz1 and ωz2 of the TZRP is determined by ωz1, ωz2, and ω21. So the bandpass performance of a TZPR is defined by its two resonators with transmission zeroes. An example is given choosing L1 = 2 nH, C1 = 3 pF, L2 = 1 nH, and C2 = 3 pF. It can be seen that a TZRP can not only give two transmission zeroes but also a transmission pole between the two transmission zeroes, as shown in Fig. 3.

It is concluded from the above analysis that a TZRP consisting of two resonators with different resonating frequencies obtains three resonating points, which lead to a transmission pole (ω p) and two transmission zeroes (ωz1 and ωz2). The TZRP itself can be viewed as a resonator as well, so that this TZRP, like other conventional resonators, can be employed to build passband filters. Unlike conventional filters, no extra measure is needed in this TZRP bandpass filter to generate transmission zeroes because the TZRP has inherent transmission zeroes. The bandpass filters are designed by coupling two identical TZRPs and thus are equipped with two transmission poles and four transmission zeroes. Mixed couplings between the TZRPs are modeled as presented in Fig. 4(a), which include magnetic coupling referred to as L p and electric couplings Cp1 and Cp2 for R1 (R1 ) and R2 (R2 ), respectively. Adjusting the equivalent coupling parameters (L p, Cp1, and Cp2), the performances of the bandpass filter are determined. For example, based on the TZRP in Fig. 3, with

This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination.

XUE AND JIN: BANDPASS FILTERS DESIGNED BY TZRPs WITH PROXIMITY COUPLING

3

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Fig. 5. Simulation results of a microstrip resonator with induced transmission zero.

Fig.

4.

Designed passband filter by TZRPs and the coupling between

them. (a) Schematic. (b) Simulation results of an example versus L p

with

C p1

= 0.1 pF and C p2 = 0.1 pF. (c) Simulation results versus

C p1

with

L p

= 1.2 nH and C p2 = 0.1 pF. (d) Simulation results versus C p2

with L p = 1.2 nH and C p1 = 0.1 pF.

performance as shown in Fig. 4(b). The two transmission poles get closer and the bandwidth gets narrower when the magnetic coupling L p is increased, while the four transmission zeroes remain the same. Changing the electric coupling Cp1 between R1 and R1 in Fig. 4(c), the two lower transmission zeroes are allocated flexibly, while the two upper transmission zeroes are kept unchanged. The lower cutoff frequency is pushed toward higher frequencies when increasing Cp1. Similarly, the two upper transmission zeroes can be determined by Cp2, while the two lower transmission zeroes remain unchanged. The upper cutoff frequency is pushed toward lower frequencies when increasing Cp2. Actually, the TZRPs and proximity couplings can be designed flexibly in the real implementation circuits. In the following section, this will be demonstrated.

III. MICROSTRIP BANDPASS FILTER

As a typical transmission medium, the microstrip line has been widely used to design various components. Moreover, various filters based on microstrip line [21], [22] have been presented. As an example, microstrip line is used to implement a TZRP bandpass filter.

A. Design of Microstrip TZRP

As shown in Fig. 5, a λg /4 microstrip open-circuited stub resonator (with a width of 0.5 mm) contributes a transmission zero. A larger l results in a lower frequency of transmission zero. By folding the resonator, a much smaller size is achieved. So in the following design, the microstrip resonators are folded for compact filters.

In order to design a TZRP, another resonator, with a different resonant frequency, is required. Here, two folded λg /4 microstrip open-circuited resonators are used as shown in Fig. 6 for simple structures. Two transmission zeroes and a transmission pole are obtained by this microstrip TZRP. The transmission pole is between the two transmission zeroes.

B. Design of Microstrip Filter

given transmission zeroes of R1 and R2, the couplings are critical for the features of the filter as well. Changing the magnetic coupling between the TZRPs affects the in-band transmission

With this designed TZRP, a passband filter is designed easily. As illustrated in Fig. 7(a), two identical TZRPs are placed face-to-face, i.e., the R1 and R2 are mirrored by R1 and R2,

This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination.

4

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES

Fig. 6. Simulation results of a microstrip TZRP.

Fig. 7. Designed passband filter by microstrip TZRPs. (a) Structures.

(b) Simulation results of a sample.

respectively. The proximity coupling between the two TZRPs is implemented by a section of microstrip line and the gaps (g11 and g22) between the TZRPs according to the schematic in Fig. 6(a). A TZRP offers a transmission pole and two transmission zeroes, so two TZRPs, coupled by L p, Cp1, and Cp2, will bring two transmission poles and four transmission zeroes. Simulation results of a sample are given in Fig. 7(b), in which two transmission poles and four transmission zeroes are observed clearly. The four transmission zeroes are located on both sides of the passband, which improve the out-of-band rejection performance and the selectivity of passband.

In this designed filter, despite the multiple transmission zeroes are obtained on both sides of the passband, another

advantage is that the positions of two lower transmission zeroes and two upper transmission zeroes can be tuned individually. This property brings much flexibility to design the bandpass filter at the desired center frequency with a desired bandwidth.

The transmission zeroes are determined by the TZRPs and their proximity couplings. In this section, the λg /4 microstrip resonators of a TZRP are explored to adjust the performance of filters. In more detail, the frequencies of two lower transmission zeroes can be adjusted by tuning the overall length of R1 (R1 ). It can be seen from Fig. 8(a) (changing l11 as an example) that when the length of R1 (R1 ) increases, the two lower transmission zeroes are decreased as expected and so does the lower cutoff frequency. In the meantime, the upper two transmission zeroes and the upper cutoff frequency keep unchanged. Therefore, the bandwidth of the designed filter becomes narrower as overall length of R1 (R1 ) decreasing.

The positions of two upper transmission zeroes can be easily adjusted by tuning the overall length of R2 (R2 ) as well. By changing the length of R2 (R2 ), the upper two transmission zeroes and the upper cutoff frequency are tuned while the lower ones are kept the same, as shown in Fig. 8(b). As the length of R2 (R2 ) increases, the two upper transmission zeroes and the upper cutoff frequency shift down. So the lower and upper cutoff frequencies can be determined individually. With this flexible mechanism of allocating lower and upper transmission zeroes, the passband of the filter can be easily controlled. As examples, two filters operating at the same center frequency of 2 GHz but with 3-dB bandwidths of 7% and 26% are demonstrated in Fig. 8(c). Considering all the losses of metal and substrate, the simulated loss for narrowband bandpass filter is 1 dB.

C. Experiment and Comparison

For verification, a bandpass filter at 1.8 GHz is designed, fabricated, and measured. The Duriod 6010 substrate, with a thickness of 1.27 mm and relative permittivity of εr = 10.2, is used. The photograph is given in Fig. 9, and the fabricated filter is 8.2 mm × 11.8 mm except the input and output length. The input and output ports are 50 , which are connected to the SMA connectors for test. This filter has been measured by Agilent Network Analyzer E5071C. Comparisons of the simulation and measurement results are presented in Fig. 10. Despite of a slightly frequency shift, the measured results agree well with the simulation ones. Four measured transmission zeroes located at 1.19, 1.44, 1.94, and 2.52 GHz are obtained on both sides of the passband. Large rejection and high selectivity are realized. The measured minimum insertion loss is 0.7 dB (including the losses of two SMA connectors) in the passband. The tested filter operates at 1.72 GHz with a 3-dB bandwidth of 16.3% (0.28 GHz), while the simulated one is at 1.8 GHz with a 3-dB bandwidth of 15.5%. A 0.08-GHz frequency shift is observed in the experiment due to the fabrication and assembly errors. The comparison with the filters designed by DBRs, which induce transmission zeroes as well, is given in Table I. Due to the wavelength-related invertors, the bandwidths in [15] and [16] were limited. Wideband bandpass

This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination.

XUE AND JIN: BANDPASS FILTERS DESIGNED BY TZRPs WITH PROXIMITY COUPLING

5

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Fig. 9. Fabricated passband filter by microstrip TZRPs.

Fig. 10. Comparisons of simulation and measurement results.

TABLE I

COMPARISON WITH REPORTED RESEARCH

Fig. 8. Simulation results of individual design. (a) Transmission zeroes

(with R1: l12 = l13 = 0.8 mm, w1 = 0.2 mm, g1 = 0.6 mm, g11 = 0.2 mm, and with R2: l21 = 4 mm, l22 = l23 = 0.5 mm, w2 = 0.3 mm, g2 = 0.5 mm, g22 = 0.2 mm.). (b) Upper transmission zeroes (with R1: l11 = 4.5 mm,

l12 = l13 = 0.8 mm, w1 = 0.2 mm, g1 = 0.6 mm, g11 = 0.2 mm, and with R2: l21 = 4 mm, w2 = 0.3 mm, g2 = 0.5 mm, g22 = 0.2 mm.). (c) Example.

filter with compact size and low insertion loss is realized by this proposed method.

IV. WAVEGUIDE E -PLANE BANDPASS FILTER

In this section, the waveguide filter would be designed based on the concept of the TZRP.

A. Design of the Waveguide TZRP

The standard waveguide equals a kind of transmission line and the transmission zeroes can be easily induced by a

metal strip at the center E-plane of the waveguide, as shown in Fig. 11. This transmission zero is obtained from the resonance of the strip resonator which is about half waveguide wavelength. The strip can be folded for generating a lower transmission zeroes and possessing more design freedom. As shown in Fig. 12, two folded strips (end-folded and centerfolded strips) with different lengths are placed at the top and bottom sides of the E-plane substrate to form a waveguide TZRP. Transmission zeroes of the two folded strips are at 29.5 and 37.4 GHz, respectively. A transmission pole at 32.8 GHz is brought by this waveguide TZRP.

This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination.

6

 

 

 

 

 

 

 

 

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Fig. 11. Transmission zero induced by strip in waveguide.

Fig. 14. Simulation results of proposed E-plane waveguide filter versus g1.

Fig. 12. Waveguide TZRP.

Fig. 15. Simulation results of proposed E-plane waveguide filter versus g2.

Fig. 13. Proposed E-plane waveguide filter.

B. Design of the Waveguide TZRP Bandpass Filter

Once waveguide TZRP is obtained, it’s easy to design a waveguide bandpass filter by putting two identical TZRPs face-to-face for proximity coupling. A waveguide TZRP offers a transmission pole and two transmission zeroes, so two coupled waveguide TZRPs, as shown in Fig. 13, will bring two transmission poles and four transmission zeroes. The coupling strength between these two TZRPs can be adjusted flexibly by the gaps between them or even inserting metal patches in between.

The merit of individually controllable mechanism of transmission zeroes is inherited from this proposed bandpass method. The lengths of resonators of waveguide TZRP play important roles in determining the locations of transmission

zeroes and bandwidth of passband as the microstrip TZRP. In the microstrip filter design, the transmission zeroes and poles, tuned by changing the lengths of resonators, are discussed in Fig. 8. In this waveguide TZRP bandpass filter, the design of proximity couplings between the two TZRPs is focused. So the gaps (g1 and g2) are designed for illustrating.

The gap g1 is used to adjust to coupling between two endfolded resonators of this TZRP, so the locations of the two lower transmission zeroes are determined as shown in Fig. 14. Form the simulation results, it can be seen that stronger coupling obtained when the gap g1 is smaller. The selectivity is improved as g1 decreases as well. The lower out-of-band rejection range is enlarged while the rejection level becomes higher. Meanwhile, the upper two transmission zeroes and the upper cutoff frequency on the upper side of the passband are kept constant.

Similarly, the gap g2 can change the coupling between two center-folded strips, so the frequencies of the two upper transmission zeroes are determined as shown in Fig. 15. Increasing g2 reduces the coupling, so the two transmission zeroes get closer to each other. The 3-dB bandwidth can be altered, because the upper cutoff frequency decreases as the coupling is stronger. At the same time, the lower two transmission zeroes and the lower cutoff frequency keep unchanged. So the two lower transmission zeroes or the upper transmission zeroes

This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination.

XUE AND JIN: BANDPASS FILTERS DESIGNED BY TZRPs WITH PROXIMITY COUPLING

7

TABLE II

COMPARISON WITH REPORTED RESEARCH

Fig. 16. Photograph of the broadband filter.

Fig. 17. Comparisons of simulation and measurement results.

can be controlled individually and flexibly. The transmission zeroes contribute to high selectivity and large out-of-band rejection. Moreover, the locations of transmission zeroes can be designed at any frequencies, so the operating frequency and bandwidth of the presented filter can be adjusted flexibly as well. Finally, the length parameters can be used to design the frequencies of transmission zeroes as well. They are not discussed here.

C. Experiment and Comparison

An E-plane waveguide filter operating at 33 GHz with absolute bandwidth of 2 GHz is designed and fabricated. The Duriod 5880 substrate with a thickness of 0.254 mm and relative permittivity of εr = 2.2 is used. Two TZRPs, consisting of four folded strips with two of them on the top side and the other two and small metal patches at the bottom of the substrate, are fabricated. Then the substrate is inserted into the central E-plane of the standard waveguide WR-28. The parameters of experimented filter are as follows: l1 = 3.2 mm,

l2 = 0.45 mm, l3 = 0.5 mm, l4 = 2 mm, l5 = 0.1 mm, l6 = 0.6 mm, l7 = 0.7 mm, g1 = 0.1 mm, g2 = 0.15 mm, g3 = 1.5 mm, and w1 = w2 = 0.1 mm. The size along waveguide transmission direction equals l6 + 2(g2 + w2 +l5) = 1.3 mm. Although the fabricated filter is only 1.3 mm in length of a waveguide, the standard WR-28 and the substrate with a length of 20 mm are used for easy resembling and measurement. The photograph is given in Fig. 16.

This filter has been measured by Agilent Network Analyzer N5247A. Comparisons of the simulation and measurement results are presented in Fig. 17. Four transmission zeroes located at 27.7, 30.2, 35.5, and 37.6 GHz are obtained on both sides of the passband. Large rejection and high selectivity are realized. The measured minimum insertion loss is 0.95 dB in the passband. A good agreement between the simulation and measurement results is achieved. Some comparisons are given in Table II. It can be seen that our designed filter has the largest number of transmission zeroes and realizes compact size with comparable insertion losses.

V. CONCLUSION

In this paper, a new method to design a kind of bandpass filter is proposed. The concept of TZRP is presented, which can bring a transmission pole and two transmission zeroes. Then the proximity coupling between two TZRPs is designed for a second-order passband filter realizing two transmission poles in the passband and four transmission zeroes outside the passband. Based on this design method, two basic filter configurations are discussed in detail, i.e., microstrip bandpass filter and waveguide bandpass filter. A 1.8-GHz microstrip bandpass filter and a 33.1-GHz waveguide bandpass filter were fabricated and tested. Both the designed filters have the properties of compact size and low insertion loss. Moreover, the bandwidth of these proposed filters can be adjusted flexibly. Simulation and measurement results demonstrated the effectiveness of this new approach of bandpass filter design. This filter using TZRPs has the merits of simplicity in structure and design, compact size (only a small fraction of a wavelength), high out-of-band rejection, low and flat passband loss, and high flexibility in tuning the passband. This design method can be used to design multiband bandpass filter by properly designing the locations of transmission zeroes and transmission poles.

REFERENCES

[1]J.-S. Hong and M. J. Lancaster, “Couplings of microstrip square openloop resonators for cross-coupled planar microwave filters,” IEEE Trans. Microw. Theory Techn., vol. 44, no. 11, pp. 2099–2109, Nov. 1996.

[2]J. S. Hong, H. Shaman, and Y. H. Chun, “Dual-mode microstrip openloop resonators and filters,” IEEE Trans. Microw. Theory Techn., vol. 55, no. 8, pp. 1764–1770, Aug. 2007.

This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination.

8

[3]K. Song and Q. Xue, “Novel broadband bandpass filters using Y-shaped dual-mode microstrip resonators,” IEEE Microw. Wireless Compon. Lett., vol. 19, no. 9, pp. 548–550, Sep. 2009.

[4]L. Gao, X. Y. Zhang, X.-L. Zhao, Y. Zhang, and J.-X. Xu, “Novel compact quad-band bandpass filter with controllable frequencies and bandwidths,” IEEE Microw. Wireless Compon. Lett., vol. 26, no. 6,

pp.395–397, Jun. 2016.

[5]L. Gao, X. Y. Zhang, and Q. Xue, “Compact Tri-band bandpass filter using novel eight-mode resonator for 5G WiFi application,” IEEE Microw. Wireless Compon. Lett., vol. 25, no. 10, pp. 660–662, Oct. 2015.

[6]D. Bouyge et al., “Split ring resonators (SRRs) based on micro-electro- mechanical deflectable cantilever-type rings: Application to tunable stopband filters,” IEEE Microw. Wireless Compon. Lett., vol. 21, no. 5,

pp.243–245, May 2011.

[7]K. Rambabu, M. Y. W. Chia, K. M. Chan, and J. Bornemann, “Design of multiple-stopband filters for interference suppression in UWB applications,” IEEE Trans. Microw. Theory Techn., vol. 54, no. 8,

pp.3333–3338, Aug. 2006.

[8]J. Y. Jin and Q. Xue, “A type of E-plane filter using folded split ring resonators (FSRRs),” in Proc. Asia–Pacific Microw. Conf. (APMC), 2015, pp. 1–3.

[9]A. Torabi and K. Forooraghi, “Miniature harmonic-suppressed microstrip bandpass filter using a triple-mode stub-loaded resonator and spur lines,” IEEE Microw. Wireless Compon. Lett., vol. 21, no. 5,

pp.255–257, May 2011.

[10]C. H. Kim and K. Chang, “Wide-stopband bandpass filters using asymmetric stepped-impedance resonators,” IEEE Microw. Wireless Compon. Lett., vol. 23, no. 2, pp. 69–71, Feb. 2013.

[11]W. J. Feng, W. Q. Che, Y. M. Chang, S. Y. Shi, and Q. Xue, “High selectivity fifth-order wideband bandpass filters with multiple transmission zeros based on transversal signal-interaction concepts,” IEEE Trans. Microw. Theory Techn., vol. 61, no. 1, pp. 89–97, Jan. 2013.

[12]P.-H. Deng and J.-T. Tsai, “Design of microstrip cross-coupled bandpass filter with multiple independent designable transmission zeros using branch-line resonators,” IEEE Microw. Wireless Compon. Lett., vol. 23, no. 5, pp. 249–251, May 2013.

[13]J. Xu, “Compact quasi-elliptic response wideband bandpass filter with four transmission zeros,” IEEE Microw. Wireless Compon. Lett., vol. 25, no. 3, pp. 169–171, Mar. 2015.

[14]B. F. Zong, G. M. Wang, J. G. Liang, and C. Zhou, “Compact bandpass filter with two tunable transmission zeros using hybrid resonators,” IEEE Microw. Wireless Compon. Lett., vol. 25, no. 2, pp. 88–90, Feb. 2015.

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES

[22]L. Gao, X. Y. Zhang, B.-J. Hu, and Q. Xue, “Novel multi-stub loaded resonators and their applications to various bandpass filters,” IEEE Trans. Microw. Theory Techn., vol. 62, no. 5, pp. 1162–1172, May 2014.

[23]N. Mohottige, O. Glubokov, U. Jankovic, and D. Budimir, “Ultra compact inline E-plane waveguide bandpass filters using cross coupling,”

IEEE Trans. Microw. Theory Techn., vol. 64, no. 8, pp. 2561–2571, Aug. 2016.

[24]O. Glubokov and D. Budimir, “Compact filters using metaldielectric inserts,” in Proc. 42nd Eur. Microw. Conf. (EuMC), 2012, pp. 1103–1106.

[25]N. Mohottige, O. Glubokov, and D. Budimir, “Ultra compact inline E-plane waveguide extracted pole bandpass filters,” IEEE Microw. Wireless Compon. Lett., vol. 23, no. 8, pp. 409–411, Aug. 2013.

Quan Xue (M’02–SM’04–F’11) received the B.S., M.S., and Ph.D. degrees in electronic engineering from the University of Electronic Science and Technology of China (UESTC), Chengdu, China, in 1988, 1991, and 1993, respectively.

In 1993, he joined the UESTC, as a Lecturer, where he became a Professor in 1997. From 1997 to 1998, he was a Research Associate and then a Research Fellow with the Chinese University of Hong Kong, Hong Kong. In 1999, he joined the City University of Hong Kong, Hong Kong, where he was

an Associate Vice President (Innovation Advancement and China Office) from 2011 to 2015, and is currently a Chair Professor of microwave engineering, the Director of the Information and Communication Technology Center, and the Deputy Director of the State Key Laboratory of Millimeter Waves. He has authored or co-authored over 320 internationally referred journal papers and over 160 international conference papers. He is co-inventors of five granted Chinese patents and 20 granted U.S. patents (5 of them have been licensed), in addition with 29 filed patents. His current research interests include microwave/millimeter-wave/terahertz passive components, active components, antenna, microwave monolithic integrated circuits, and radio frequency integrated circuits.

Prof. Xue served the IEEE as an AdCom member of MTT-S from 2011 to 2013 and the Associate Editor of the IEEE TRANSACTIONS ON

[15]C. Quendo, E. Rius, and C. Person, “Narrow bandpass filters using dual- MICROWAVE THEORY AND TECHNIQUES from 2010 to 2013, the Editor of behavior resonators,” IEEE Trans. Microw. Theory Techn., vol. 51, no. 3, the International Journal of Antennas and Propagation from 2010 to 2013,

pp.734–743, Mar. 2003.

[16]C. Quendo, E. Rius, and C. Person, “Narrow bandpass filters using dualbehavior resonators based on stepped-impedance stubs and differentlength stubs,” IEEE Trans. Microw. Theory Techn., vol. 52, no. 3,

pp.1034–1044, Mar. 2004.

[17]M. Ohira, H. Deguchi, M. Tsuji, and H. Shigesawa, “Novel waveguide

filters with multiple attenuation poles using dual-behavior resonance of frequency-selective surfaces,” IEEE Trans. Microw. Theory Techn., vol. 53, no. 11, pp. 3320–3326, Nov. 2005.

[18]B. Li and Z. Shen, “Synthesis of quasi-elliptic bandpass frequencyselective surface using cascaded loop arrays,” IEEE Trans. Antennas Propag., vol. 61, no. 6, pp. 3053–3059, Jun. 2013.

[19]T. Su, S. J. Wang, Y. L. Zhang, Z. P. Li, and L. J. Zhang, “A compact DBR filter using -network and dual-line equivalent circuit,” IEEE Microw. Wireless Compon. Lett., vol. 23, no. 7, pp. 350–352, Jul. 2013.

[20]J. Y. Jin, X. Q. Lin, and Q. Xue, “A novel dual-band bandpass E-plane filter using compact resonators,” IEEE Microw. Wireless Compon. Lett., vol. 26, no. 7, pp. 484–486, Jul. 2016.

[21]Y. Zhang, L. Gao, and X. Y. Zhang, “Compact quad-band bandpass filter for dcs/wlan/wimax/5G Wi-Fi application,” IEEE Microw. Wireless Compon. Lett., vol. 25, no. 10, pp. 645–647, Oct. 2015.

and the Associate Editor of the IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS from 2010 to 2015. Since 2016, he has been an Associate Editor of the IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION.

Jun Ye Jin (S’11) was born in Inner Mongolia, China. She received the B.S. and M.S. degrees in electromagnetics and microwave technology from the University of Electronic Science and Technology of China (UESTC), Chengdu, China, in 2011 and 2014, respectively. She is currently pursuing the Ph.D. degree at the State Key Laboratory of Millimeter Waves, Department of Electronic Engineering, City University of Hong Kong, Hong Kong, and the Shenzhen Research Institute, The City University of Hong Kong, Shenzhen, China.

Her current research interests include microwave or millimeter-wave circuits, antennas, and radio frequency integrated circuits.