Theory of electrical filters

Title Page
Contents
1 The Approximation Problem
1.1 Introduction
1.2 Minimum Phase Transfer Functions
1.3 Equiripple Response Characteristics
2 Amplitude Approximations for Lumped Networks
2.1 Introduction
2.2 Maximally Flat Response
2.3 Chebyshev Response
2.4 Inverse Chebyshev Response
2.5 Elliptic Function Response
2.6 Synthesis of Ladder Networks
2.7 Explicit Formulas for Element Values in Chebyshev Filters
2.8 Summary of Results for Chebyshev and Maximally Flat Filters
2.9 Explicit Formulas for Element Values in Elliptic Function Filters
2.10 Summary of Results for Elliptic Function and Inverse Chebyshev Filters
2.11 Determination of the Degree of the Prototype Filter
2.12 Frequency Transformations and Impedance Scaling
2.13 Approximate Design Techniques for Band-stop and Band-pass Filters
3 Phase Approximations for Lumped Networks
3.1 Introduction
3.2 Maximally Flat Linear Phase Polynomial
3.3 Equidistant Linear Phase Polynomial
3.4 Equidistant Constant Phase Delay Polynomial
3.5 Arbitrary Phase Polynomials
3.6 Maximally Flat Logarithmic Phase Polynomial
3.7 All-pass Networks and Reflection Filters
4 Simultaneous Amplitude and Phase Approximations for Lumpec! Networks
4.1 Introduction
4.2 Constant Amplitude Filters with Phase Equalization
4.3 Linear Phase Filters with Amplitude Equalization
4.4 Optimum Maximally Flat Constant Amplitude and Linear Phase Response
4.5 Optimum Maximally Flat Constant Amplitude and Logarithmic Phase Response
4.6 Finite-band Approximations to Constant Amplitude and Arbitrary Phase Response
4.7 Prototype Synthesis Procedure for Transmission Type Filters
5 Amplitude Approximations for Distributed Networks
5.1 Introduction
5.2 Stepped Impedance Transmission Line Filters with Maximally Flat and Chebyshev Response Characteristics
5.3 Explicit Formulas for Element Values in Chebyshev S.epped Impedance Transmission Line Filters
5.4 Summary of Results for Chebyshev and Maximally Flat Distributed Prototype Filters
5.5 Interdigital Filters with Maximally Flat and Chebyshev Response Characteristics
5.6 Explicit Formulas for Element Values in Chebyshev Interdigital Filters
5.7 Summary of Results for Chebyshev and Maximally Flat Interdigital Filters
5.8 Fourier Coefficient Design Technique for Stepped Impedance Transmission Line Filters
5.9 Explicit Formulas for Element Values in Arbitrary Stepped Impedance Transmission Line Filters
6 Phase Approximations for Distributed Networks
6.1 Introduction
6.2 Exact Linear Phase Polynomials
6.3 Maximally Flat Distributed Linear Phase Polynomial
6.4 Equidistant and Arbitrary Distributed Linear Phase Polynomials
6.5 Distributed All-pass and Reflection Filters
7 Simultaneous Amplitude and Phase Approximations for Distributed Networks
7.1 Introduction
7.2 Constant Amplitude Filters with Exact Linear Phase
7.3 Constant Amplitude Filters with Phase Equalization
7.4 Linear Phase Filters with Amplitude Equalization
7.5 Optimum Constant Amplitude and Linear Phase Filters
7.6 Synthesis of Generalized Interdigital Filters
8 Digital Filters
8.1 Introduction
8.2 Basic Digital Wave Filters
8.3 Selective Linear Phase Filters
Appendix: Miscellaneous Amplitude Approximations
A.1 Generalized Chebyshev Functions with Prescribed Poles
A.2 Generalized Chebyshev Functions with Prescribed Zeros
A.3 Even Polynomials and Functions Equiripple over Two Bands
A.4 Maximally Flat Odd Polynomial Approximating a Constant
A.5 Maximally Flat Odd Function Approximating a Constant
A.6 Equiripple Odd Function Approximating a Constant
A.7 Equiripple Two-band Odd Polynomial Approximating Zero
References
1.1 ... 3.2
3.3
Α.1
Index
Algorithms ... High-pass ladder fίlters
Hilbert transforms ... Zeros
Preface
Copyright