LOW NOISE MULTIPLICATION IN ANALOG VLSI

Nizar  M. DALLOUL

   The principal objective of the dissertation is the mathematical modeling and analysis of noise and distortion generation mechanisms and computer simulation of a CDD  based multiplier. Toward that end: The variable transconductance multiplier is analyzed in Chapter 2.

Chapter 3 gives some background on the current understanding of the Carrier Domain Devices principle and its basic operation. The Steerable localized Injection Multiplier (SLIM)

a particular type of CDD is also described in chapter 3.

In Chapter 4, the previously developed notion of SLIM is expanded on Mathematical analysis and biasing techniques of SLIMs are described. Mathematical modeling and analysis of device operation is presented.

Chapter 5 presents the mathematical modeling and analysis of noise generation mechanisms in SLIM.

Chapter 6 considers the type of computer simulation modeling utilized and compares the simulated results with those predicted theoretically.

This final chapter is intended to add a broader perspective to the understanding of the SLIM device. The greatest obstacle to the use of the SLIM is its linearity. SLIMs are very sensitive to end effects and therefore inherently less linear than the translinear multiplier. The intriguing feature of a SLIM is the special property of its parabolic base potential : the position  of the peak of the domain is a linear function of the differential voltage applied to the ends of the base. The theoretical study of noise generation mechanisms was performed based on the hybrid π model. The theoretical results agreed with those obtained using the SPICE2G.1 simulation program. An important observation from the results obtained showed that the output noise of SLIM stayed constant over changes in frequencies. We noticed a slight change upon reaching the frequency of 100 M H z over which the device does not operate.

Actual experimental testing of the device should be performed in future work. A SPICE like simulation program that takes into account the various phenomenon that occurs in SLIM should be done. The poor linearity os SLIM is another area that should be of great interest especially if CDD multipliers are to compete with the translinear multiplier for a share in the market Another promising area for further research would be the realization of a function generator using CDD based devices.