13
th
International Conference on DEVELOPMENT AND APPLICATION SYSTEMS, Suceava, Romania, May 19-21, 2016
978-1-5090-1993-9/16/$31.00 ©2016 IEEE
Insertion loss measurement of a lowpass microwave
filter manufactured on FR4 laminate
Aurel Chirap, Valentin Popa
Department of Computers, Electronics and Automatics
Stefan cel Mare University of Suceava
Suceava, Romania
aurel@eed.usv.ro; valentin@eed.usv.ro
Abstract — In this paper a microstrip low-pass filter modeling
and designed for UTMS-2100 band is presented. The full wave
EM simulated and measured results are compared and a good
agreement has been achieved for this low-pass filter fabricated
prototypes. The measured insertion loss is 28.6 times higher for
the FR4 laminate as for the reference laminate.
Keywords — microstrip filters; microwave filters; loss
measurement; insertion loss, dielectric losses, dielectric substrates;
FR-4; RO4003C.
I. INTRODUCTION
Most often, filters are used for selection or suppression of
specific frequency bands. Furthermore, they are utilized for
adapting impedances between the functional blocks of high-
frequency systems. The passive components with lumped
parameters (capacitors, inductors) are frequently used in
designing filters. Passive filters with lumped parameters
elements operate well up to several hundred MHz frequencies,
but above this level, the performance of the filter varies
significantly. Is it possible to use passive circuit elements with
distributed parameters, in which case the performances of the
device are dependent on the characteristics of the laminate
used, in special of the substrate losses [1],[2],[3].
The present study aims at estimating the losses caused by
the substrate electric properties, in particular, loss angle
tangent. For this objective achievement we are proposing a
working method based on following steps:
1. Modeling a microstrip technology filter allowing
the pass of the UTMS-2100 frequency band.
2. Simulation and designing of two prototype filters;
the first one, used as a reference and realized on a
laminate (producer certified), as RO4003C[4]; the
second one, realized on an ordinary laminate, as
FR4 [5], used for comparing.
3. Measurements for both prototypes and results
evaluation.
II. FILTER MODELING
The circuit elements with distributed parameters can be
produced on plane structures using short-circuited line stubs or
open-circuited transmission line stubs, that are characterized
by Z
0
impedance and electrical length.
Two successive conversions described in [2] are necessary
for prototype filter elements transformation into circuit
elements with distributed parameters. The first one, Richard’s
conversion, allows the replacement of the lumped parameters
inductors and capacitors with short-circuited or open-circuited
transmission line stubs, with length l=λ/8, where λ is the line
wavelength at the cut-off frequency, ω
c
.
Fig. 1. Equivalent circuits a Kuroda identity.
Thereby, an inductor can be replaced with an short-circuit
transmission line stub, characterized by L impedance, while a
capacitor can be replaced with a open-circuit transmission line
stub, characterized by 1/C impedance (Fig. 1). However, from
a practical point of view, it is difficult to design short-circuit
transmission line stub but is possible to transform them in
open circuit line stubs. This is possible through application of
the Kuroda identity (Fig. 1), which allows conversion a short-
circuit stub into open-circuit stub by adding a line segment,
called unit element, with length l=λ/8 and impedance z=1 at
both ends of the line stub. This unit element does not affect the
filter functionality and n depends on impedances rate:
n
2
=1+z2/z1.
The proposed low-pass filter prototype is a 3rd order
Chebyschev filter, with a cut-off frequency f
C
=2.2 GHz (Fig.
2). The g constants for element values (L and C) determining
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