An analysis and design of a CMOS differential pair and a common source amplifier for shaping a triangular signal into 0-π/4 segments of sine and cosine waveforms are presented. By multiplexing these two shaped outputs, low distortion full sine and cosine signals can be produced at one fourth the frequency of the triangular input. These two circuits can be combined with one DAC and a phase accumulator to form a compact quadrature direct digital frequency synthesizer (Q-DDFS) suitable for generating low distortion sinusoidal signals at low frequency. The shapers are biased by two current generators specially designed to compensate for process parameter variations. MOS dimensional mismatch is also studied. The analog part of the Q-DDFS is synthesized using 0.18-micron n-well CMOS technology. A simulation shows that the circuit consumes 1.3 mW and can generate 19.96 mV 50 kHz sine and cosine signals with spurious free dynamic range (SFDR) of around 50 dBc from a Q-DDFS running at 1.6 MHz.

Localization in wireless sensor networks is the problem of estimating the geographical locations of wireless sensor nodes. We propose a framework to utilizing multiple data sources for localization scheme based on support vector machines. The framework can be used with both classification and regression formulation of support vector machines. The proposed method uses only connectivity information. Multiple hop count data sources can be generated by adjusting the transmission power of sensor nodes to change the communication ranges. The optimal choice of communication ranges can be determined by evaluating mutual information. We consider two methods for integrating multiple data sources together; unif method and align method. The improved localization accuracy of the proposed framework is verified by simulation study.

The problem of analyzing transient in transmission line circuits is studied with emphasis on obtaining the transient voltage and current distributions. A new method for solving Telegrapher equation that characterizes the uniform transmission lines is presented. It not only gives the time domain solution of the line terminal voltage and current, but also their distributions within the lines. The method achieves its goal by treating the voltage and current distributions as distributed state variables and transforms the Telegrapher equation into an ordinary differential equation. This allows the coupled transmission lines to be treated as a single component that behaves like other lumped dynamic components, such as capacitors and inductors. Using Backward Differentiation Formulae for time discretization, the transmission line component is converted to its time domain companion model, from which its local truncation error for time step control can be derived. As the shapes of the voltage and current distributions get more complicated with time, they can be approximated by piecewise exponential functions with controllable accuracy. A segmentation algorithm is thus devised so that the line is dynamically bisected to guarantee that the total piecewise exponential approximation error is only a small fraction of the local truncation error. Using this approach, the user can see the line voltage and current at any point and time freely without explicitly segment the line before starting the simulation.