Be able easily move from Z-Transform of the system to the difference equation of the system. Understand the common practice, for real time systems, of breaking the system into second order systems based on pairs of poles that are complex conjugates - and how this relates to choosing a parallel or cascade form. C. Be able to look at a second order polynomial in z -1 and readily determine if the poles are complex and if the system is stable. Focus on FIR Systems A. Recognize that the only poles for an FIR system are at the origin and that zeros come in pairs if they are on the unit circle or axes - otherwise come in groups of 4. Examples of even symmetry can provide the usual range of filters.
Odd symmetry is used in differentiation.
C. Be able to sketch the frequency response of these filters by getting the equations in to cos or sin format, separating the amplitude from the linear phase. C. Understand the concept of complementary filters.