ECE 513 - Advanced Analog Filter Synthesis

Description: Credit 4. The active biquad; sensitivity analysis; realization of active two-port networks; design of broadband matching networks; and the theory of passive cascade synthesis.

Prerequisite: ECE 412

Recent Textbooks:

W.-K. Chen, Passive and Active Filters: Theory and Implementation, New York: John Wiley and Sons Publishing   Company, 1986.  

Passive and Active Network Analysis, by A. Budak, Waveland Press, 1991.

Deliyannis T., Yichuang Sun, and J. K. Fidler, Continuous-time Active Filter Design, CRC Press, New York, 1999.


1. Review of topics from ECE 412

  a. Filter classifications (LP, HP, BP, AP, etc.)
  b. Classical analog filter types (Butterworth, Chebyshev, Inverse
  c. Chebyshev, Cauer, Bessel)
  d. Cascade synthesis using active biquadratic filter stages
  e. Frequency and impedance scaling
  f. Gain reduction and enhancement
  g. Transfomation of LP prototype to other filter types
  h. RC-CR transformation

2. Sensitivity Analysis

  a. Sensitivity functions
  b. The multiparameter sensitivity
  c. Gain and root sensitivities
  d. General relations of network function sensitivities
  e. Sensitivity of active filter stages to component variations

3. Passive Ladder Synthesis

  a. Review of two-port network analysis
  b. Simple passive ladder filters
  c. Sensitivity of simple passive ladder filter stages to component
  d. Cauer I,II and Foster I,II ladder synthesis having purely resistive

4. Realization of active two-port networks

   a. Inductance simulation
   b. Frequency-dependent negative resistors
   c. Leapfrog simulation of ladders
   d. Generalization of leapfrog simulation to Foster I,II and mixed
      passive ladders
   e. Wave filter formulation for passive ladder simulation
   f.  Sensitivity analysis of simulated ladders

5. Computer methods for analog filter design (product survey)

6. Latest advances in analog filter design (literature survey)