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180 Cha pte r F o u r
2.10 50
Center frequency (GHz) 1.90 40 Band width (% f a )
2.00
45
35
1.80
1.70 30
5 6 7 8 10 15 20 25 28
Bias voltage (V)
FIGURE 4.30 Measured tuning performance.
The measured center frequency and filter bandwidth as a function of varactor bias
voltage are shown in Figure 4.30. The tuning voltage is supplied through a surface-
mount inductive choke to minimize any phase distortion due to bias modulation. A
2.2-pF embedded capacitor (C ) has been used to provide the RF grounding at the diode-
g
choke junction. Figure 4.30 shows that the filter can be tuned from 1.75 to 2.03 GHz with
a tunability of 12 MHz/V. Additionally, Figure 4.30 shows that the bandwidth (and
hence the Q) of the filter is almost constant over the entire tuning range even though the
Q of the lossy varactor changes with frequency. This characteristic can be attributed to
the broadband nature of the Q of the passives embedded in LCP substrates. The
widening of bandwidth is also a function of C . A high loaded Q is observed with a
g
higher C since, the alternating currenct (ac) resistance between the tuning ports to
g
ground is reduced. The tunable filter occupies a volume of 5 × 5 × 0.76 mm , whereas the
3
3
fixed frequency filter occupied a volume of 3.9 × 5 × 0.76 mm . The response of the filter
can be further improved by incorporating transmission zeros by using both capacitive
and inductive coupling [44].
4.3 Chip-Package Codesign
Chip-package codesign represents the concurrent design of the IC and package such
that together, the IC package can support the performance specifications. For digital
ICs, this could be the I/O speed or bit error rate (BER), while for an RF IC this could
be the noise figure, phase noise, power, etc. Chip-package codesign represents the
partitioning of a circuit, subsystem, or system such that some of the functionality can
be embedded in the package while the rest remains on the IC. Oftentimes, chip-package
codesign is mistaken to represent the matching of the footprint between the chip and
package. Though this is important from a physical design standpoint, it does not
represent true chip-package codesign. For digital systems, sizing the I/O driver
concurrently with the package interconnect parameters is an example of chip-package
codesign since this enables faster I/O speeds and optimized power. Similarly, embedding
decoupling capacitance in the package is another example of chip-package codesign since