MATERIAL FOR FINAL EXAM - 2002 CHAPTER 1: ELEMENTARY ANALYSIS Practically everything is included. Mason's gain formula is not needed. Include signal flowgraph representation and reduction. CHAPTER 2: THE z TRANSFORM Exclude the proofs of: Theorem 2.10 Complex convolution Theorem 2.11 Parceval's discrete-time formula CHAPTER 3: THE APPLICATION OF THE z TRANSFORM Exclude: Sec. 3.3.4 Test for common factors Sec. 3.3.5 Schur-Cohn stability criterion Sec. 3.3.6 Schur-Cohn-Fujiwara stability criterion Sec. 3.3.8 Liapunov stability criterion CHAPTER 4: REALIZATION Exclude: Sec. 4.5 Ladder·realization Sec. 4.10.1 Tellegen's theorem Sec. 4.10.2 Reciprocity Sec. 4.10.3 Interreciprocity Include: Sec. 4.10.4 Transposition Sec. 4.10.5 Sensitivity analysis CHAPTER 5: ANALOG FILTER APPROXIMATION Include: You should be able to calculate the minimum order for Butterworth, Chebyshev, and inverse-Chebyshev filters (See RRR materials). You should know how to obtain transfer functions for the Butterworth, Chebyshev, inverse-Chebyshev, and Bessel approximations in terms of poles and zeros or coefficients. You should know what are elliptic approximations although you are not going to be asked to get the transfer function. The analog-filter transformations are required. Exclude: The derivations of Butterworth, Chebyshev, inverse- Chebyshev, elliptic, and Bessel approximations are not needed. CHAPTER 6: CONTINUOUS-TIME, SAMPLED, AND DISCRETE-TIME SIGNALS Include: You must know how to apply the Fourier transform and Poisson's summation formula to nonperiodic, periodic, and sampled signals. Effect of imperfections in analog-to-digital and digital-to- analog converters Exclude: Sect. 6.3 Generalized functions Sect. 6.5 Derivation of the Poisson summation formula CHAPTER 7: APPROXIMATIONS FOR RECURSIVE FILTERS Exclude: Sect. 7.4 Modified invariant-impulse-response method Sect. 7.7 Digital filter transformations