On successful completion of this module the student will be able to:

  1. derive and sketch the frequency response of a linear circuit or system;
  2. calculate the response of dissipative linear systems to multi-frequency inputs;
  3. calculate the Fourier series of a periodic signal;
  4. apply the Fourier series concept to calculate the output of a system due to a periodic input;
  5. calculate the Fourier transform of finite-energy aperiodic signals and understand the concepts of signal energy and bandwidth;
  6. explain and analyze the concepts of AM coherent demodulation, noncoherent demodulation, envelope detection, and a complete AM superheterodyne receiver;
  7. calculate and visualize convolution and apply the concept of impulse;
  8. explain the sampling theorem and select a sampling rate according to the Nyquist criterion;
  9. determine whether a system is linear or nonlinear, causal or noncausal, time-invariant or time-varying, and decompose system outputs into zero-input and zero-state components;
  10. determine whether a circuit or system is stable or unstable and demonstrate an understanding of the definition of stability;
  11. calculate the one-sided Laplace transform and its inverse;
  12. apply the concept of impedance to find the transfer function of a circuit;
  13. compute transfer functions from block diagrams;
  14. explain the relationship between pole and zero locations of a circuit and its corresponding frequency response;
  15. design a Butterworth filter having a desired cutoff frequency;
  16. map a designed transfer function to a circuit composed of second-order op-amp building blocks.
Lecturer: Dr.-Ing. Udo Klein