CS-381: Engineering Systems Analysis Using Numerical Methods

Fall 1998

Laboratory Assignments

1. Experiment 1: Analyse and design systems represented by a nonlinear equation.
   • Specifications:
     • Design a software which may be used to design the 555 timer circuit described in text book using bisection method and secant method.
     • Design a software to analyze the system whose mathematical model is provided in class handout using Newton-Raphson method.
2. Experiment 2: Analyse and design systems represented by a system of equations.
   • Specifications:
     • Design a software which may be used to design and analyse an electrical circuit similar to the one described on page 206 of text book. Gauss-Jacobi, Gauss-Seidel, and relaxation methods will be implemented in the software.
3. Class Project:
   • Note: the software must integrate all subsystems descibed below into one CAD software system.
   • Part 1: Signal Reconditioning
     • Specification:
       • A signal has been sampled at a sampling rate T. It is desired to recondition the data by adding from two to five interpolated data points to the original data using Polynomial interpolation method and spline method.
   • Part 2: Integrator
     • Specification:
       • The signal reconditioned by cubic spline from part 1 is used as an input data for an integrator. Design the integrator on {X0,Xi} i=1,2,..,N using Simpson rule.
   • Part 3: Differentiator
     • Specification:
       • The signal reconditioned by cubic spline from part 1 is used as an input data for a differentiator. Design the differentiator on {X0,Xi} i=1,2,..N using central difference.
4. Experiment 6: System Analysis.
   • Specifications:
     • Design a software which may be used to design and analyse an source free RC series circuit and step response RL series circuit