eecs秋季b hwsolutions硬件解决方案.pdfVIP

EECS247Fall2011

B.E.Boser

#7SOLUTION

Totalumscore=8points.Nofractionalpointswillbegiven;“partiallycorrect”

answersyieldfullcredit.

Problem1:State-of-the-artDataConverters(1point)

Asanexample,theanswerforthereferenceintheproblemstatementisgivenbelow.Threesuch

references(for2008/09)wererequested.

a)S.-T.Ryu,B.-S.SongandK.Bacrania,“A10-bit50-MS/sPipelinedADCWithOpamp

CurrentReuse,”IEEEJ.Solid-StateCircuits,vol.42,no.3,pp.475-485,Mar.2007.

b)Resolution10bits,Speed50MS/s,Powerdissipation18mW

22

c)0.18µCMOStechnology,area1.1x1.3mm=1.43mm

d)PipelineArchitecture;theconverteritselfismediumspeed,mediumresolution,low

power;thetargetapplicationseemstobecommunications

e)3Wh/0.018W=166hoursand40minutes

Problem2:Aliasing(1point)

a)Sincethelargestfrequencyis6MHz,asamplingfrequencyofatleast12MHz(whichis

twicetheumfrequency)shouldbeusedtoavoidaliasing.

b)Samplingat5MHzsetstn=n/(5MHz).Thisgives

⎛n⎞⎛n⎞⎛n⎞

x(n)cos2=π(0.5)+cos2π(3)+cos2π(6)

⎜5⎟⎜5⎟⎜5⎟

⎝⎠⎝⎠⎝⎠

cos2=π⋅0.n1+cos2π⋅0.6n+cos2π⋅1.2n

()()()