DESIGN OF 4TH ORDER PARALLEL COUPLED MICROSTRIP BANDPASS FILTER AT DUAL FREQUENCIES OF 1.8 GHZ AND 2.4 GHZ FOR WIRELESS APPLICATION
ABSTRACT
Design of a parallel-coupled microstrip bandpass filter
is presented in this paper. The aim of this paper is to present the design
technique, parameter analysis, real prototype fabrication and measurement
results at dual simulation frequencies of 1.8GHz and 2.4GHz. Half wavelength
long resonators and admittance inverters are used to design the filter. The
filter is simulated using AWR Microwave Office software (Advanced Wave
Research).
KEYWORDS:
Bandpass filter; Microstrip; 1.8 GHz & 2.4GHz; Parallel Coupled Line;
Microwave Engineering,AWR Simulator.
INTRODUCTION
The microwave filter is a two port network which used to
control the frequency response by providing transmission at frequencies within
the pass band and attenuation in the stop band of a filter. Filters are an
essential part of telecommunications and radar systems. Of its low-cost
fabrication, easy integration and simple designing procedure, the parallel
coupled-line/edge-coupled filters are widely used in microwave micro strip
circuits with a required bandwidth up to 20 % of central frequency. A band pass
filter only passes the frequencies within a certain desired band and attenuates
others signals whose frequencies are either below a lower cutoff frequency or
above an upper cut-off frequency. The range of frequencies that a band pass
filter let’s to pass through is referred as pass band. A typical band pass
filter can be obtained by combining a low-pass filter and a high-pass filter or
applying conventional low pass to band pass transformation. The architecture
demonstrated here is a coupled line type filter, since this is among the most
practical and common filter types which can meet the stated specifications. In
Coupled Transmission Lines, coupling between two transmission lines is
introduced by their proximity to each other. Coupling effects may be undesirable,
such as crosstalk in printed circuits, or they may be desirable, as in
directional couplers where the objective is to transfer power from one line to
the other. Another of their major use is using them in filtering the Microwave
range frequencies. The filter response will be based on the Chebychev transfer
function. Chebychev type filters are popular for their high selectivity, i.e.,
they have a relatively fast signal cut off between pass and stop band. Filters
operating in gigaherz frequency ranges rely on distributed transmission line
structures to obtain the desired frequency response. Dimensions of the coupled
transmission lines can be derived with published formula or minimal simulation
software capability.
RELATED WORK
This paper presents the design of a parallel-coupled
microstrip bandpass. The design is based on the use of half wave long
resonators and admittance inverters. The dual center frequencies of 1.8 GHz
& 2.4GHz are selected, the bandwidth (BW) is about 5%, the minimum
attenuation amounts to -30 dB and the pass-band ripple is obtained equal to 0.5
dB.The design technique, parameter analysis, real prototype fabrication and
measurement results of a 4th order coupled line bandpass filter at a dual
simulation frequencies of 1.8GHz & 2.4GHz is presented in this paper.
THEORY
A general layout of a parallel coupled micro strip band
pass is shown in figure1. The filter structure consists of open circuited
coupled micro strip lines. These coupled lines are quarter wavelength, (λ/4) long
and are equivalent to shunt resonant circuits. The coupling gaps correspond to
the admittance inverters in the low-pass prototype circuit. Even- and odd- mode
characteristic impedances of parallel-coupled half-wave resonators are computed
using admittance inverters. These even- and odd- mode impedances are then used
to compute physical dimensions of the filter. Now consider a band pass
filter composed of a cascade of N + 1 coupled line sections, as shown in
Figure1. The sections are numbered from left to right, with the load on the
right, but the filter can be reversed without affecting the response. Since
each coupled line section has an equivalent circuit of the form, the equivalent
circuit of the cascade is as shown in Figure 2.
Figure 1 : Layout of an (N + 1)-section
coupled line band pass filter.
Figure 2 : Using the equivalent circuit of
Figure 3.1 for each coupled line section.
IMMITANCE INVERTER
Immitance inverters play a very important role in filter
design. They are used to transform a filter circuit into an equivalent form
that can be easily implemented using various microwave structures. Immitance
inverters are either impedance or admittance inverters. Making use of the
properties of immitance inverters, band pass filters may be realized by series
(L-C) resonant circuits separated by impedance inverters (K) or shunt (L-C)
parallel resonant circuits separated by admittance inverters (J). To design a
band pass filter, first of all a low-pass prototype circuit is modified to
include immitance inverters. These low pass structures are then converted to
band pass circuits by applying conventional low-pass to band pass
transformation.
Figure 3 : Equivalent circuit of the
admittance inverters.
SIMULATION MODELING AND DISCUSSION
The design equations for the coupled line are as follows:
The order of the filter was calculated assuming an
equi-ripple (Chebyshev type 1) response with an insertion loss (L) of 30dB at
the center frequency of 1.8Ghz and 2.4Ghz and the pass band ripple amplitude
(G) of 0.5dB. The fractional bandwidth Δ = 5%. Hence the upper and lower cutoff
frequencies of the passband are 2.52 GHz and 2.28 GHz respectively. Using the
standard Chebyshev model:
This gives us n = 4.
Now, we get the low pass prototype values from the standard Chebyshev table:
Now, we use the following design equations to get the inverter constants
for a coupled line filter with N+ 1 sections:
Using these equations, we get
Now, the even and odd mode impedances can be calculated as follows:
The results of these calculations are tabulated below:
The substrate used is a standard FR4 substrate (MSUB) with Er= 4.4 H=1.58mm, T = 0.036mm and Tand = 0.005.
Using a coupled line calculator, the width, length and line spacing for
each coupled line was calculated:
Based
on the above values and taking standard port impedances as Z0 = 50Ω, the design was simulated.
SIMULATION DESIGN, RESULTS & DISCUSSION
The design was simulated using AWR Design Environment (9.00.4847) and a
response was generated. The coupled line design used for simulation was MCFIL
which is a non-floating line. This is a coupled line model with the end effect
included for the open ended line. One side of each coupled line is the ground
plane.
Figure 4 : Layout of the proposed 4th order filter design
in AWR Software
Here, the
parameter S11 (dB) represents the
insertion loss at port 1 and this parameter which has a value of -6.521dB at the
center frequency of 2.4 GHz while -6.587dB at the center frequency of 1.8GHz
The
parameter S21 (dB) represents the
insertion loss from port 1 to port 2 which has a value of -2.633dB at the
center frequency of 2.4GHz while -6.375dB at the center frequency of 1.8GHz.
Figure 5 : Coupled Line Band pass Filter at Dual
Frequencies Result
The first design discussed above was simulated in AWR.The same was
simulated using EM simulation. The schematic diagram for the same is given
below:
Figure 6 : Layout of the proposed 4th order filter design
in AWR Software using EM simulation
Here, the parameter S11 (dB) represents the
insertion loss at port 1 and the parameter which has a value of -2.606dB at the
center frequency of 2.4 and 1.8GHz
The parameter S21 (dB) represents the
insertion loss from port 1 to port 2 which has a value of -16.87dB at the
center frequency of 2.4GHz while -31.55dB at the center frequency of 1.8GHz.
Figure 7 : Coupled Line Bandpass Filter at Dual
Frequencies EM Simulation Result
For the Stackup, the dielectric used is FR4 and the conductor is copper.
The transmission lines used in the design are MCLIN which are essentially
similar to MCFIL lines with their remaining ends left open. The thickness of
the dielectric layer is taken as 1.58mm and air thickness is taken as 24mm. The
simulation is done on EMSight with X and Y cell resolution of 0.5mm and an
extension of 1mm. The extracted EM schematic is given below:
Figure 8 :3D View of the Coupled Line Band pass Filter
Figure 9 :3D View of the Extracted EM Structure
CONCLUSION
On a substrate with a dielectric constant of 4.4, with the dual center frequencies
of 1.8 GHz & 2.4 GHz, a coupled line band pass filter was simulated with
the bandwidth of about 5%, with the minimum attenuation of 30 dB and with the pass-band
ripple equal to 0.5 dB. Thus the design technique, parameter analysis, real
prototype fabrication and measurement results at dual simulation frequencies of
1.8GHz and 2.4GHz of a 4th order coupled line band pass filter was presented in
this paper.
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