Multi sigma-delta fraction-nMULTI-BIT DELTA-SIGMA MODULATION TECHNIQUE FOR FRACTIONAL-N FREQUENCY SYNTHESIZERS BY WOOGEUN RHEE B.S., Seoul National University, 1991 M.S., University of California at Los Angeles, 1993 THESIS Submitted in partial fulllment of the requirements for the degree of Doctor of Philosophy in Electrical Engineering in the Graduate College of the University of Illinois at Urbana-Champaign, 2001 Urbana, Illinois iii MULTI-BIT DELTA-SIGMA MODULATION TECHNIQUE FOR FRACTIONAL-N FREQUENCY SYNTHESIZERS Woogeun Rhee, Ph.D. Department of Electrical and Computer Engineering University of Illinois at Urbana-Champaign, 2001 Bang-Sup Song, Advisor Fractional-N frequency synthesis provides agile switching in narrow channel spacing systems and alleviates phase-locked loop (PLL) design constraints for p……