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III. Gm-C Filtering - Epublications - Université de Limoges

III. Gm-C Filtering - Epublications - Université de Limoges

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Reference [II.20] is based on the same architecture as the latter filter. However, the<br />

two transconductances of the gyrator are tunable. This second <strong>de</strong>gree of tunability allows the<br />

enhancement of the tuning range. Frequencies from 48 to 780 MHz are now covered at the<br />

cost of reduced linearity and higher noise.<br />

II.4.c.iii Performances Comparison of <strong>Gm</strong>-C Filters<br />

Many RF bandpass filters, making use of single MOS transistors as transconductors,<br />

were previously reported [II.8, II.21]. Operating in the GHz range, they can reach very high<br />

Q-factors for a very low power consumption, but with signal distortion and noise. In parallel,<br />

the possibility to use an active selectivity for RF front-ends un<strong>de</strong>r certain conditions on the<br />

LNA (2dB NF and gain limited to 10dB) was shown in [II.22]. The literature also reports on<br />

more complex <strong>Gm</strong>-C filters, used at lower frequencies (40-300MHz), which achieve both<br />

interesting RF performances and large tuning range [II.5]. However such filter, with a lowpass<br />

structure, does not have an influence on adjacent channels rejection. Finally, as<br />

previously <strong>de</strong>scribed, it has been reported a <strong>Gm</strong>-C bandpass filter for TV tuners that reaches a<br />

good dynamic range while being very low power [II.19]. The performances of these RF filters<br />

are summarized in Table 5.<br />

Table 5. <strong>Gm</strong>-C & Gyrator-C RF Filters<br />

Ref. [II.8] [II.21] [II.22] [II.5] [II.19] Units<br />

Type BPF BPF BPF LPF BPF -<br />

Mo<strong>de</strong> single single differential differential differential -<br />

Freq. 400-1050 500-1300 1900-3800 50-300 50-300 MHz<br />

Q 2 to 80 60 40 6 -<br />

NF 8.5 18 14 20 dB<br />

IIP3 -15 -26 16 4 dBm<br />

Power 51 274 10.8 72 7.6 mW<br />

Supply 5 1.8 1.8 1.2 V<br />

Techno 350 350 180 180 130 nm<br />

II.4.d Rm-C <strong>Filtering</strong><br />

Rm based filters are very similar to the <strong>Gm</strong>-cells based ones. As explained previously,<br />

a <strong>Gm</strong>-cell converts a voltage into a current with a certain gain gm whereas a trans-resistance<br />

amplifier converts a current into a voltage with a certain resistive gain Rm, called “transresistance”.<br />

A capacitors associated to this trans-resistance amplifier creates a <strong>de</strong>rivator, as<br />

<strong>de</strong>picted in Figure 89, which is essential to synthesize a filter transfer function. In<strong>de</strong>ed, this<br />

leads to a <strong>de</strong>rivative behaviour since:<br />

Vout<br />

= jRmCω<br />

. (<strong>III</strong>.69)<br />

ΔV<br />

in<br />

- 72 -

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