# Novel Notched UWB Filter Using Stepped Impedance Stub Loaded Microstrip Resonator and Spurlines

Authors: Ramkumar Uikey; Ramanand Sagar Sangam; Kakumanu Prasadu; Rakhesh Singh Kshetrimayum
Journal: International Journal of Microwave Science and Technology
 (2015)

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## Abstract

This paper presents a novel ultrawideband (UWB) bandpass filter using stepped impedance stub loaded microstrip resonator (SISLMR). The proposed resonator is so formed to allow its four resonant frequencies in the UWB passband, which extends from 3.1 GHz to 10.6 GHz. Moreover, two spurline sections are employed to create a sharp notched-band filter for suppressing the signals of 5 GHz WLAN devices. Experimental results of the fabricated filters are in good agreement with the HFSS simulations and validate the design.


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## Body

## 1. Introduction

Since the release of UWB spectrum by the Federal Communications Commission for unlicensed commercial applications in early 2002 [1], compact size UWB bandpass filters with good in-band transmission, sharp selectivity, and flat group delays are highly demanded to realize UWB radio systems. A number of methods have been reported in the literature [2–8] to design the UWB bandpass filters. An early method reported in [2] is based on cascaded low-pass-high-pass filter sections. A hybrid microstrip/CPW structure with back-to-back transition configuration is used in [3] to achieve the UWB bandpass response. In [4], a stepped impedance four-mode resonator is developed on the method of network analysis and optimization in Z-domain. Today, a major class of available UWB filters are based on the multiple-mode resonators (MMR) and are quite popular due to their easy design methods and simple structures. The concept of MMR based UWB filter was initially presented in [5]. In this work, a triple-mode MMR is integrated with dual-pole overenhanced parallel coupled lines to realize the UWB filter. This work is extended in [6] to get a more feasible filter with relaxed fabrication tolerance. In [7, 8], open ended stub loaded resonator based UWB filters are designed to widen the upper stopband.In recent years, researchers are more attracted towards filters with notch bands embedded in the UWB passband. These notch bands are required to suppress the strong narrowband emissions in the WLAN and WiMAX bands which coincide with the 3.1 GHz to 10.6 GHz UWB spectrum. Many efforts have been put forward by researchers in [9–12], to design notched-band UWB filters. A Meander line slot is developed in [9] to reject the undesired IEEE 802.11a signals. Symmetrical pairs of defected ground structure with embedded open stubs are employed to create the WLAN notch [10]. In [11], five short circuited stubs are incorporated in the design to exhibit highly selective filtering characteristics. In our early work [12], we designed a notched-band bandpass filter using complementary single split ring resonators in the ground plane. All above mentioned filters possess good notch band filtering but they are either based on defected ground structures or suffer from fabrication difficulties due to via holes. Hence, emphasis is given to planar structures, which are free from via holes and defected ground structures.In this paper, we are proposing a novel quad-mode stepped impedance stub loaded microstrip resonator (SISLMR) to design the UWB bandpass filters. It is constructed by loading a uniform50
Ω transmission line with three symmetrical stepped impedance stubs, that is, one at the center and two at the symmetrical side locations. Then two symmetrical spurline sections are developed around the central stepped impedance stub to create a sharp notch band for suppressing the WLAN radio systems operating in the 5 GHz frequency bands. Finite element based Anosoft HFSS software is used for deriving the filter’s electrical performance; later, two filter prototypes, one with notch band and one without notch band, are fabricated and measured for experimental verification of the predicted results.


## 2. Initial UWB Filter Design

Figure1 depicts the schematic of the proposed resonator. It consists of a conventional transmission line resonator (
50
Ω
) of width W
1 and length 2
L
1
+
W
2 in the horizontal plane and three vertically loaded stepped impedance stubs, that is, one stepped impedance stub of width W
2, W
3, length L
4, L
5 at the center and the other two stubs of the same dimensions at the symmetrical sides, located at a distance of about λ
g
/
4 from the central stub. In the initial design, we load a 50
Ω transmission line (≈1.5
λ
g) with single stepped impedance at the center. When impedance ratio for this stepped impedance stub is set close to 0.2, we observe some UWB filtering characteristics with two transmission zeros near 2 and 11 GHz, respectively, and a pole near 6.5 GHz. Later, this initial resonator structure is modified by introducing two more stepped impedance stubs to have a higher degree of freedom in the design. A parametric analysis is performed using FEM based HFSS software and resonator parameters are optimized to achieve the UWB bandpass response. Optimized electrical parameters for the proposed SISLMR are given in Table 1 and HFSS simulated results are shown in Figure 2. Simulation results depict that the proposed resonator has four resonant frequencies in the desired passband, located at 3.43, 5.20, 7.40, and 9.38 GHz, respectively. Transmission zeros in the lower and upper stopband are located at 2.17 and 10.97 GHz, respectively. Designed filter demonstrates good UWB filtering with |
S
21
|
≥
-
3dB and |
S
11
|
≤
-
10dB and flat group delay in the desired UWB spectrum.Table 1
Design parameter values for Figure1.
L
=
38 mm
W
=
32 mm
FR4-epoxy substrate
L
1
=
18.75 mm
W
1
=
3.1 mm
ϵ
r
=
4.4
L
2
=
7.75 mm
W
2
=
0.5 mm
h
=
1.6 mm
L
3
=
3.5 mm
W
3
=
9.5 mm
t
=
0.035 mm
L
4
=
6.5 mm
tan
⁡
δ
=
0.002
L
5
=
9.5 mmFigure 1
Basic structure of the proposed stepped impedance stub loaded UWB bandpass filter.Figure 2
Simulated frequency response of the designed UWB bandpass filter.


### 2.1. Approximate Theoretical Analysis

This section describes an approximate theoretical analysis of the proposed resonator. It considers the case of lossless transmission lines and ignores the effects of step discontinuities, frequency dispersion, and edge capacitances at the open stubs.Figure3 shows the transmission line model of the proposed resonator. The overall ABCD matrix, [R], in Figure 3 can be obtained by multiplying the ABCD matrices of the terminal lines, connecting lines between stepped impedance stubs and stepped impedance stubs in sequence; that is, (1)
R
=
A
B
C
B
C
B
A
,where(2)
A
=
cos
⁡
θ
1
′
j
sin
⁡
θ
1
′
Y
1
j
Y
1
sin
⁡
θ
1
′
cos
⁡
θ
1
′
,
B
=
1
0
j
Y
2
Y
2
tan
⁡
θ
3
+
Y
1
tan
⁡
θ
2
Y
1
-
Y
2
tan
⁡
θ
2
tan
⁡
θ
3
1
,
C
=
cos
⁡
θ
1
j
sin
⁡
θ
1
Y
1
j
Y
1
sin
⁡
θ
1
cos
⁡
θ
1
.Using (1) and matched load condition at port 2, S
21
(
d
B
) and S
11
(
d
B
) for the resonator in Figure 1 are deduced as(3)
S
21
=
20
log
⁡
2
Z
01
/
Z
02
R
11
+
R
12
/
Z
02
+
R
21
Z
01
+
R
22
Z
01
/
Z
02
d
B
,
S
11
=
20
log
⁡
R
11
+
R
12
/
Z
02
-
R
21
Z
01
-
R
22
Z
01
/
Z
02
R
11
+
R
12
/
Z
02
+
R
21
Z
01
+
R
22
Z
01
/
Z
02
d
B
.
Z
01 and Z
02 in the above equations are source and load impedances, respectively. In Figure 4, analytical results of (3) are plotted in MATLAB and compared with the HFSS simulated results. This plot shows good match between the two results and further supports the validity of the proposed SISLMR for designing the UWB bandpass filters.Figure 3
Transmission line model of the proposed UWB bandpass filter.Figure 4
Comparison of simulated and analytical results.


## 2.1. Approximate Theoretical Analysis

This section describes an approximate theoretical analysis of the proposed resonator. It considers the case of lossless transmission lines and ignores the effects of step discontinuities, frequency dispersion, and edge capacitances at the open stubs.Figure3 shows the transmission line model of the proposed resonator. The overall ABCD matrix, [R], in Figure 3 can be obtained by multiplying the ABCD matrices of the terminal lines, connecting lines between stepped impedance stubs and stepped impedance stubs in sequence; that is, (1)
R
=
A
B
C
B
C
B
A
,where(2)
A
=
cos
⁡
θ
1
′
j
sin
⁡
θ
1
′
Y
1
j
Y
1
sin
⁡
θ
1
′
cos
⁡
θ
1
′
,
B
=
1
0
j
Y
2
Y
2
tan
⁡
θ
3
+
Y
1
tan
⁡
θ
2
Y
1
-
Y
2
tan
⁡
θ
2
tan
⁡
θ
3
1
,
C
=
cos
⁡
θ
1
j
sin
⁡
θ
1
Y
1
j
Y
1
sin
⁡
θ
1
cos
⁡
θ
1
.Using (1) and matched load condition at port 2, S
21
(
d
B
) and S
11
(
d
B
) for the resonator in Figure 1 are deduced as(3)
S
21
=
20
log
⁡
2
Z
01
/
Z
02
R
11
+
R
12
/
Z
02
+
R
21
Z
01
+
R
22
Z
01
/
Z
02
d
B
,
S
11
=
20
log
⁡
R
11
+
R
12
/
Z
02
-
R
21
Z
01
-
R
22
Z
01
/
Z
02
R
11
+
R
12
/
Z
02
+
R
21
Z
01
+
R
22
Z
01
/
Z
02
d
B
.
Z
01 and Z
02 in the above equations are source and load impedances, respectively. In Figure 4, analytical results of (3) are plotted in MATLAB and compared with the HFSS simulated results. This plot shows good match between the two results and further supports the validity of the proposed SISLMR for designing the UWB bandpass filters.Figure 3
Transmission line model of the proposed UWB bandpass filter.Figure 4
Comparison of simulated and analytical results.


## 3. Realization of Notched-Band UWB Filter

UWB filter designed in the previous section is modified by introducing two symmetrical spurlines to create a sharp notch function in the UWB passband. Figure5 shows the circuit of modified UWB filter. In the modified filter, all the parameters of the initial UWB filter are kept unchanged while dimensions of the two spurlines are set as length (a), gap (b), and height (c), respectively. These are etched symmetrically at a distance of x, around the central stepped impedance stub. Length (a) and gap (b) of spurlines play a key role in adjusting the stopband center frequency [13], and therefore these are properly optimized using HFSS software so that the resulting notched-band filter can completely suppress the interference from WLAN devices, operating in the 5 GHz band. Table 2 lists the optimized parameters of the proposed spurline sections.Table 2
Design parameter values for the spurlines.
a
=
7 mm
b
=
0.3 mm
c
=
1 mm
e
=
0.3 mm
x
=
3.1 mmFigure 5
UWB filter with spurlines for realizing WLAN notch band.Figure6 shows the variation of HFSS simulated S-parameters with frequency for the notched-band UWB filter. This filter exhibits a 10 dB stopband from 5.15 to 6.6 GHz with minimum |
S
21
| of −39 dB at 5.6 GHz and completely eliminates the 5 GHz WLAN bands. Furthermore, it has two 10 dB passbands in the desired UWB spectrum: the first passband covers a frequency range extending from 3.2 to 5.15 GHz while the second passband covers 6.6 to 10.8 GHz band.Figure 6
SimulatedS-parameter of the notched-band UWB bandpass filter.


## 4. Comparison with Experimental Results

After deriving the optimized electrical parameters for the proposed UWB filters, the two filter prototypes are fabricated and measured using VNA for experimental verification. Figure7 shows the photograph of fabricated filters. Simulated and measured S-parameters and group delay for the initially designed UWB filter and notch band UWB filter are plotted together in Figures 8 and 9, respectively, for quantitative comparison. These graphs show a good match between the two results. For the initial UWB filter, measured 10 dB passband extends from 3.1 to 11 GHz, while for the notched-band filter measured stopband extends from 5.5 to 6.8 GHz and the two passbands cover 3.15–5.5 GHz and 6.8–11.4 GHz bands, respectively. For both filters, maximum group delay variation is better than 0.7 ns. The two fabricated filters are compact in size and do not incorporate any defected ground structures or via hole connections. Some minor discrepancies are observed in the measured results which may be caused due to unexpected tolerances in fabrication and substrate parameters similar to what has been reported in [14].Figure 7
Fabricated filters. (a) Initial UWB bandpass filter and (b) notched-band UWB filter.
(a)
(b)Figure 8
Comparison of simulated and experimental results for the initial UWB filter: (a)S-parameters and (b) group delay.
(a)
(b)Figure 9
Comparison of simulated and experimental results for the notched-band UWB filter: (a)S-parameters and (b) group delay.
(a)
(b)


## 5. Conclusion

In this paper, we proposed a novel stepped impedance stub loaded microstrip resonator (SISLMR) for designing the UWB bandpass filters. Initial UWB filter is designed by loading three double section stepped impedance stubs to the main50
Ω microstrip line, and an approximate theoretical analysis is also presented. Later on, the required WLAN notch band is designed using the spurline method. After optimization of filter parameters in HFSS software, two compact size UWB filters were fabricated and measured for experimental verification. Measured and simulated results are in good agreement with each other and validate the design.



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*Source: 939521-2015-09-17.xml*