Question 1: LTI systems
- Properties such as linearity, time invariance, stability, memory, causality, etc.
- Convolution, system interconnection (parallel, serial, feedback), impulse responses
- Can be from either or both of continuous and discrete time
Question 2: Circuit analysis
- Time domain analysis, differential equations, zero-input solutions, zero-state solutions
- Fourier and Laplace analysis, initial conditions (including equivalent circuits from formula book), steady state, etc.
- Know your Ohm's Law, Kirchoff Laws, etc.
Question 3: Fourier Transforms
- Fourier Transform and its inverse (know how to use the tables!)
- Filtering properties, positive and negative frequencies
Question 4: Laplace Transforms
- Laplace Transform and its inverse (know how to use the tables!)
- Bode plots, pole-zero (don't forget gain), stability, region of convergence
- Relation to Fourier Transform
Question 5: Sampled signals and systems
- Aliasing in time domain and frequency domain (spectrum)
- How to prevent aliasing, how to reconstruct, etc.
Question 6: z-Transforms and filter design
- z-transform and its inverse (know how to use the tables!)
- Pole-zero (don't forget gain), stability, region of convergence
- Relation to Laplace Transform and Fourier Transform
- Filter design: Form I and Form II
General notes
- You should know by now that the course is very inter-linked. For example, the concept of "stability" was seen multiple times throughout the course in continuous time, discrete time, Laplace Transforms, z-transforms, etc.
- So, it's difficult to say that Question X is from Chapter Y, etc. Expect question parts to come from multiple chapters
- All questions are of equal weighting - spend only half an hour on each. If you can't complete one question, move on to the next!
- Formula sheet already handed out. If you think you need other formulas, you might want to memorise them! Formula sheets will be provided in the exam.