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suppose in equation tb is equal to the pll input reference period recall that the loop bandwidth is about one-tenth of
determine the noise-shaping function for a fourth-ordernbspnbspmodulator and compare its peak with that of a
extend the approach illustrated in figure to a cascade of a second-order system and a first-order system determine the
determine at what frequencies the output sidebands of figure are located are these sidebands or
for the pfd of figure determine whether or not the average value of qa - qb is a linear function of the input frequency
suppose a pll designed with zeta 1 a loop bandwidth of omegain25 and a tuning range of 10assume vcontnbspcan vary from
a pll is designed with an input frequency of 1 mhz and an output frequency of 1 ghz now suppose the design is modified
the ripple on the control voltage creates sidebands around the carrier at the output of a pll equivalently disturbing
consider the pll shown in figure where amplifier a1nbspis interposed between the filter and the vco if the amplifier
a pll incorporates a vco having the characteristic shown in figureit is possible to compensate for the vco nonlinearity
a pll operates with input and output frequencies equal tonbspf1 suppose the input frequency and hence the output
in the loop shown in figure vexnbspsuddenly jumps by v sketch the waveforms for vcontnbspand vlpfnbspand determine the
two pll configurations are shown in figure assume the ssb mixer adds its input frequencies also assumenbspf1nbspis a
prove that the far-out phase noise of the lo in figure also appears as noise in the rx band neglecting other sources of
does the sampling filter shown in figure remove the effect of the mismatch between the up and down
in practice the sampling filter of figure employs another capacitor tied from vcontnbspto ground explain why how should
explain whether or not the charge injection and clock feed through of s1nbspin figure produce ripple on the control
the mixer phase detector characteristic shown in figure exhibits a zero gain at the peaks eg at phi 0 a pll using such
the circuit shown in figure is a simplified model of a dual-mode oscillator 28 the voltage-dependent current source
prove that the peak drain voltage swing in figure is no more than roughlynbsp to approach this value the capacitive
suppose the vco of fig 825a employs varactors whose capacitance is given bynbspnbsp c01 alpha1v alpha2v2 where v
assuming xt a cos omega0t nt a cos omega0t nit cos omega0t - nqtsin omega0t show that the power carried by the am
suppose the inductors in the oscillator of figure exhibit a mismatch of l determine the oscillation frequency by
suppose hs in figure satisfies the following conditions at a frequency omega1 h jomega1 1 but anghjomega1 170deg
shown in figure is the front end of a 18-ghz receiver the lo frequency is chosen to be 900 mhz and the load inductors