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MPhil thesis of Lo Chi Wa - Department of Electronic & Computer ...

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The finest tuning resolution also depends on the minimal size <strong>of</strong> the switchablecapacitor. The switchable-capacitor-array employs linear capacitors and donut NMOStransistors as the switches, as shown in Fig. 24a. The donut transistor is used because <strong>of</strong>the smaller drain parasitic capacitance 13 . The switchable-capacitor-array includes a 7-bitbinary-weighted array <strong>of</strong> unit switchable-capacitor and an extra half-size switchablecapacitoras the least significant bit. Totally, this 8-bit array can provide around300MHz tuning range (from 800MHz to 1100MHz) and 800kHz frequency resolutionwhich is equivalent to 4 frequency channel spacings. The available tuning range shouldbe good enough to compensate the center frequency shift due to the process variation orthe inaccurate modelings <strong>of</strong> the inductor and capacitors. Each <strong>of</strong> switchable-capacitorsin the 7-bit binary-weighted array includes a 26.7fF linear capacitor and a 11.5u/0.5udonut transistor while the half-size switchable-capacitor includes a 14.3fF and a8.5u/0.5u donut transistor. When the switches are <strong>of</strong>f, there are about(2.8fF+2.8fF+3.95fF)=9.55fF and (1.5fF+1.9fF+2fF)=5.4fF remained in the normalsizedand half-sized unit switchable-capacitors due to the drain parasitic capacitance(Cd), the gate-to-drain overlap capacitance (Cov) and the Nwell-to-substratecapacitance <strong>of</strong> the linear capacitors (Cwell) respectively, as shown in Fig. 24c. Thechanges <strong>of</strong> capacitance are about 63% <strong>of</strong> the maximum value for both switchablecapacitors<strong>of</strong> different sizes. Higher resolution <strong>of</strong> the switchable-capacitor array is alsopossible by using smaller unit linear capacitors and switches. However, the increase inthe parasitic capacitance will limit the overall tuning range <strong>of</strong> the array.36

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