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  • Analysis and characterization of LTI systems using z-transforms
  • Bilinear transform
  • Block-diagram structures
  • Discrete-time Fourier transform
  • Geometric evaluation of the Fourier transform from the pole-zero plot, first-order and second-order systems
  • Relationship between coefficients of system function and difference equation
  • Response of pole-zero systems with nonzero initial conditions
  • Response of systems with rational system functions
  • The inverse z-transform by contour integration, partial-fraction expansion & power series expansion
  • The Schur-Cohn stability test
  • The z,w,n - domains and relationships
  • Time-domain response of IIR filters
  • Transient & steady-state components of output response of IIR filters