FASTRECONSTRUCTION ALGORITHMS FOR PERIODICNONUNIFORM SAMPLINGWITH APPLICATIONSTO TIME-INTERLEAVEDADCS
Shield Ave · 2007
A bandlimited signal canbereconstructed fromits periodic nonuniformly spaced samples provided theaverage sampling rate isatleast theNyquist rate. Unlike manypreviously published methods, thealgorithm derived inthis paperisdesigned that paysspecial attention tovarious practical constraints. Inparticular, wepropose afast andnumerically robust reconstruction method whichcanutilize FIRfilters with asmall numberoftapsandrequires onlyamodest amount ofoversampling toachieve highaccuracy. Theefficiency andaccuracy ofthealgorithm isobtained byfully exploitingthesampling structure combined withutilizing localized Fourier analysis. Wediscuss applications intime-interleaved analog-to-digital converters wherenonuniform periodic sampling arises duetotiming mismatches. Finally, numerical simulations demonstrate theperformance ofouralgorithm. IndexTerms-Signal sampling, Signal reconstruction, Digital filters, Numerical analysis, Numerical stability.