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RLC Passive Filter Design


Description: Design of passive filters.  Properties of positive-real

	functions, design of driving-point and transfer immittances

	of RC, RL, LC, and RLC networks.  Design of classical filters 

	including Butterworth, Chebyshev, and elliptic filters.

		

Textbook: Van Valkenburg, Introduction of Modern Network Synthesis,

	John Wiley, NY, 1960. 

		

    Chapter                           Topic



      1      Introduction:  Network models and equations, poles and 

             zeros of network functions, complex frequency.



      2      Network Analysis:  Series, parallel, and gereneral structures.

             Impedance and admittance functions.  Transfer functions using

             y and z parameters.



      3      Positive Real Functions:  Driving-point functions, Brune's pr

             functions and their properties.



      4      Testing Driving-Point Functions:  Maximum modulus theorem,

             Hurwitz polynomials, residues, even and odd functions, Sturm's

             theorem, and alternative tests.



      5      LC Networks:  Elementary synthesis operations.  LC driving-point

             synthesis.



      6      RC and RL Networks:  Properties of RC and RL network functions.                

             Foster and Cauer form of RC and RL networks..



      7      RLC Networks:  Minimum pr functions. Brune's method, Bott and

             Duffin method.



      10     Two Terminal-Pair Synthesis by Ladder Development:  Properties

             of -y12 and z12.  LC ladder method, RC ladded method.



      12     Symmetrical Lattice and Constant-Resistance Networks:  Lattice

             and synthesis procedures, constant resistance symmetrical

             lattice, lattice decomposition, Barlett's bisection theorem,

             constant-resistance bridged-T and ladder networks.



Project: Design, analyze, amd test (using microCap simulations) a 4th order filter.  



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