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A Delta-Sigma Fractional-N Frequency Synthesizer for Quad ... - JSTS

A Delta-Sigma Fractional-N Frequency Synthesizer for Quad ... - JSTS

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JOURNAL OF SEMICONDUCTOR TECHNOLOGY AND SCIENCE, VOL.7, NO.4, DECEMBER, 2007 26955 5CLK432242(a)Fig. 3. Pseudo-exponential capacitor bank structure.CLKD Q D QMCOUTDQ(b)Fig. 5. (a)TSPC divide-by-2 circuit and (b) TSPC 4/5 prescalerlogic diagram.LSB 20A3IN23MSB 33-bitAdd24-bitAdd24-bitReg24-bitAdd24-bitReg24-bitAdd24-bitRegA226-bitAdd3OUTA1(a)Fig. 4. Comparison of coarse tuning characteristics by theconventional binary-weighted cap bank and the proposedpseudo-exponential cap bank structure. (a) <strong>Frequency</strong> tuningcharacteristics. (b) <strong>Frequency</strong> and K vco variation against the capbank tuning code at a fixed V tune .20IN20-bitadderError Cancellation Network andMapping LogicC1C220-bitadderC320-bitadder3OUTextremely huge ratio of the maximum and minimumcapacitances (e.g. 64 2 <strong>for</strong> 6-bit coarse tuning in VCO).Thus, we mimic the n -2 -dependency by using apseudo-exponentially varying capacitance. As shown inFig. 4, the total tuning range is divided into foursubsections (B n ). Within each subsection, capacitancevaries linearly with a different slope. The slope isdetermined by the different unit capacitance whichvaries from 1⋅C unit to 3⋅C unit in each subsection. Duringthe inter-subsection transitions, the cumulative capacitanceis re-adjusted in the subsection cap bank to make the totalcapacitance vary smoothly. Also, the varactor capacitance isadjusted in each subsection by the varactor bank in orderto keep the K VCO constant. This proposed structure isadopted <strong>for</strong> the wideband VCOL, which is referred to asVCOL-LCT. By using this structure, the coarse tuningcharacteristics are dramatically linearized.CLK20-bitregister20-bitregister(b)20-bitregisterFig. 6. Logic block diagram of designed delta-sigma modulatorswith 20-bit resolution. (a) 3 rd -order 3-bit single-loop CIFF and(b) MASH-111.3.2 Divide-by-2, 4/5-Prescaler, and PFD in TSPC logicThe divide-by-2 and 4/5 dual-modulus prescaler in thefeedback path are realized in the TSPC logic. Fig. 5(a)shows the circuit schematic of the divide-by-2, where theFET widths are shown while the gate length is minimum0.18 μm. The widths are optimized <strong>for</strong> high speed operationand large swing by trading off the self-capacitance andthe driving capability. The same DFF is also used <strong>for</strong> thedual-modulus prescaler, whose circuit is shown in Fig.5(b). In the simulation, the maximum operation frequenciesof the divide-by-2 and the prescaler are 6 GHz and 3.5

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