RESULTS AND ANALYSIS
Simulation Results
The designed Koch and Sierpinski
fractal-shaped microstrip stepped-impedance low-pass filters with different
iteration orders are simulated using
the finite-element-method (
FEM)-based software Ansoft HFSS 10.0; the
simulated frequency responses are
shown in Figure 3.
As can be seen, the two kinds of
fractal-shaped low-pass filters show
great passband performance enhance-
ment abilities. The simulation results
of these filters are summarized in
Table 2, where F is the fractal shape, Iter
is the iteration number, MRL is the
maximum return loss in the passband
in dB, CF is the cut-off frequency in
GHz, SL is the selectivity17 in dB/Hz,
2H-IL is the second harmonic insertion loss in dB and 2H-F is the operating frequency corresponding to 2H-IL.
The maximum return-loss level of the
passband of the Koch fractal-shaped
microstrip stepped-impedance low-
pass filters decreased from - 19. 8 dB
for K0, to a value below - 30 dB for K2,
and the maximum return-loss level of
the passband of the Sierpinski fractal-
0
MAGNITUDE (dB)
– 5
– 10
– 15
– 20
– 25
– 30
– 35
– 40
– 45
– 50
– 55 10 98765 43210
S21
S11
K0 K1 K2
FREQUENCY (GHz)
SATCOM Test Equipment
(a)
V-SAT earth station development
Mobile terminal testing
Payload communications testing
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0
MAGNITUDE (dB)
– 5
– 10
– 15
– 20
– 25
– 30
– 35
– 40
– 45
– 50 10 98765 43210
S21
S11
S0 S1 S2
FREQUENCY (GHz)
(b)
s Fig. 3 Simulated response of fractal-shaped stepped-impedance low-pass filters
with different iteration orders; (a) Koch and
(b) Sierpinski.
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testing.
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Tel (201) 677-0008 ; Fax (201) 677-9444
www.dbmcorp.com
s Fig. 4 Prototypes of the Koch and
Sierpinski fractal-shaped microstrip stepped-impedance low-pass filters.