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

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

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<strong>III</strong>.5 Conclusion<br />

Once the <strong>Gm</strong>-C second or<strong>de</strong>r bandpass filter topology adopted, a theoretical study has<br />

been carried out. From this study, it has been <strong>de</strong>monstrated that linearity, noise and the filter<br />

Q-factor are strongly related. In or<strong>de</strong>r to optimize the dynamic range of the <strong>Gm</strong>-C filter, a<br />

mo<strong>de</strong>rate Q has been chosen. A second choice is based on the use of <strong>Gm</strong>-cells of high<br />

transconductances to <strong>de</strong>crease the noise as much as possible. However, these high<br />

transconductances have to be linearized so that they can be associated together to obtain a<br />

highly linear <strong>Gm</strong>-C filter.<br />

Different linearization techniques are proposed in the literature. They have been<br />

assessed in this chapter. Two of them have been used to <strong>de</strong>sign filters. These two filters are<br />

based on <strong>Gm</strong>-cells linearized by means of dynamic source <strong>de</strong>generation and by multiple gated<br />

transistors. It comes out that the first filter presents a too limited linearity versus noise tra<strong>de</strong>off.<br />

The second filter exhibits a high dynamic range over a more than three octaves tuning<br />

range. However, it exhibits a high sensitivity to process and voltage variations.<br />

Despite its interesting performances in terms of dynamic range and of power<br />

consumption, the gyrator appears to be the main source of <strong>de</strong>gradation and of distortion of the<br />

signal within the <strong>Gm</strong>-C filter. Furthermore, this solution exhibits strong process and mismatch<br />

<strong>de</strong>pen<strong>de</strong>ncies. The sensitivity and the lack of robustness of the MGTR technique lead us to<br />

take the <strong>de</strong>cision not to tape out the filter as a circuit, but to carry on investigations on other<br />

high performance filtering solutions. That is why an operational amplifier based filter is<br />

analyzed in Chapter IV.<br />

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