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

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the output value between 0 and 0.5, the signal swing can be up to –1 and 2. Due to theextra signal swing required, the available division ratios will be reduced. As a result,this prescalar with extra division ratios is used. The minimum and maximum divisionratios with this prescalar will become 32-(-1)=33 and 39.5-2+0.5=38 which correspondsto the output frequency 25.6MHz x 33 = 844.8MHz and 972.8MHz. The availableoutput frequency range can still cover the required frequency range (865-915MHz) inboth receiver and transmitter systems.The lower seven bits <strong>of</strong> the channel selection word represents the 125 channels. Theseseven bits are used to control the switchable-capacitor array to obtain the correct outputfrequency. Since these seven bits only represent the channel number but not the exactfrequency <strong>of</strong> the channel, a frequency <strong>of</strong>fset is added to obtain the correct frequency forthe channels. Moreover, the frequency change due to a change in the least significant bitin the switchable-capacitor array does not represent exactly a channel. A gainadjustment is required to relate the channel number and the corresponding number <strong>of</strong>the switchable capacitors.A 8-bit switchable-capacitor array is used to provide around 300-MHz tuning range(from 800MHz to 1100MHz) and 800-kHz frequency step. The varactors in the voltagecontrolledoscillator can provide about 9MHz/V. As a result, the tuning voltage <strong>of</strong> thevaractors will vary within 0.1V.31

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