Handbook of Filter Synthesis

Handbook of Filter Synthesis, originally published in 1967 is the classic reference for continuous time filter design. The plots of filter behaviour for different designs, such as ripple and group delay, make this book invaluable. The discussion of how to synthesize a bandpass, bandpass, or bandstop filter from a lowpass prototype is also very useful.

Anatol I. Zverev is the author of Handbook of Filter Synthesis, published by Wiley.

Filters in Electronics

1

(30)

Types of Filters

1

(2)

Filter Applications

3

(2)

All-Pass Filters

5

(1)

Properties of Lattice Filters

6

(3)

Filter Building Blocks

9

(8)

Higher Order Filters

17

(1)

Coil-Saving Bandpass Filters

17

(3)

Frequency Range of Applications

20

(1)

Physical Elements of the Filter

21

(1)

Active Bandpass Filters

22

(1)

RC Passive and Active Filters

22

(3)

Microwave Filters

25

(4)

Parametric Filters

29

(2)

Theory of Effective Parameters

31

(29)

Power Balance

32

(1)

Types of General Network Equations

33

(2)

Effective Attenuation

35

(1)

Reflective (Echo) Attenuation

36

(1)

Transmission Function As a Function Of Frequency Parameters

37

(1)

Polynomials of Transmission and Filtering Functions

38

(1)

Filter Networks

39

(2)

Voltage and Current Sources

41

(1)

The Function D(s) As An Approximation Function

42

(3)

Examples of Transmission Function Approximation

45

(4)

Simplest Polynomial Filters in Algebraic Form

49

(1)

Introduction To Image-Parameter Theory

50

(2)

Bridge Networks

52

(1)

Examples of Realization in the Bridge Form

53

(1)

Hurwitz Polynomial

54

(1)

The Smallest Realizable Networks

55

(2)

Fourth-Order Networks

57

(1)

Fifth-Order Networks

58

(2)

Filter Characteristics in the Frequency Domain

60

(47)

Amplitude Responses

60

(1)

Phase-and Group-Delay Responses

61

(1)

Group Delay of an Idealized Filter

61

(1)

Group-Delay---Attenuation Relationship

61

(1)

The Chebyshev Family of Response Characteristics

62

(5)

Gaussian Family of Response Characteristics

67

(7)

A Filter with Transitional Magnitude Characteristics

74

(1)

Legendre Filters

74

(2)

Minimum-Loss Characteristics

76

(1)

Synchronously Tuned Filters

76

(1)

Arithmetically Symmetrical Bandpass Filters

77

(1)

Attenuation Characteristics of Image Parameter Filters

78

(2)

Other Types of Filter Characteristics

80

(1)

Plots of the Attenuation and Group Delay Characteristics

81

(26)

Elliptic Functions and Elements of Realization

107

(30)

Double Periodic Elliptic Functions

107

(2)

Mapping of s-Plane into u-Plane

109

(1)

First Basic Transformation of Elliptic Functions

110

(2)

Filtering Function in z-Plane

112

(2)

Graphical Representation of Parameters

114

(1)

Characteristic Values of D(s)

115

(1)

An Example of Filter Design

116

(3)

Consideration of Losses

119

(1)

Introduction of Losses by Frequency Transformation

119

(1)

Highpass Filters with Losses

120

(1)

Transmission Functions with Losses

121

(2)

Conclusions on Consideration of Losses

123

(1)

Realization Process

124

(1)

Bandpass Filter with a Minimum Number of Inductors

125

(2)

The Elements of a Coil-Saving Network

127

(1)

Consideration of Losses in Zig-Zag Filters

128

(1)

Realization Procedure

129

(2)

Numerical Example of Realization

131

(1)

Full and Partial Removal for a Fifth-Order Filter

132

(5)

The Catalog of Normalized Lowpass Filters

137

(153)

Introduction to the Catalog

137

(9)

Real Part of the Driving Point Impedance

146

(2)

Lowpass Filter Design

148

(3)

Design of Highpass Filters

151

(3)

Design of LC Bandpass Filters

154

(6)

Design of Narrowband Crystal Filters

160

(3)

Design of Bandstop Filters

163

(5)

Catalog of Normalized Lowpass Models

168

(122)

Design Techniques for Polynomial Filters

290

(90)

Introduction to Tables of Normalized Element Values

290

(2)

Lowpass Design Examples

292

(3)

Bandpass Filter Design

295

(1)

Concept of Coupling

296

(2)

Coupled Resonators

298

(2)

Second-Order Bandpass Filter

300

(5)

Design with Tables of Predistorted k and q Parameters

305

(1)

Design Examples using Tables of k and q Values

306

(4)

Tables of Lowpass Element Values

310

(1)

Tables of 3-dB Down k and q Values

311

(69)

Filter Characteristics in the Time Domain

380

(34)

Introduction to Transient Characteristics

380

(1)

Time and Frequency Domains

380

(3)

Information Contained in the Impulse Response

383

(1)

Step Response

383

(1)

Impulse Response of an Ideal Gaussian Filter

384

(1)

Residue Determination

385

(1)

Numerical Example

385

(3)

Practical Steps in the Inverse Transformation

388

(1)

Inverse Transform of Rational Spectral Functions

389

(1)

Numerical Example

390

(1)

Estimation Theory

391

(1)

Transient Response in Highpass and Bandpass Filters

392

(1)

The Exact Calculation of Transient Phenomena for Highpass Systems

393

(2)

Estimate of Transient Responses in Narrowband Filters

395

(2)

The Exact Transient Calculation in Narrowband Systems

397

(1)

Group Delay Versus Transient Response

398

(1)

Computer Determination of Filter Impulse Response

398

(2)

Transient Response Curves

400

(14)

Crystal Filters

414

(85)

Introduction

414

(1)

Crystal Structure

414

(1)

Theory of Piezoelectricity

414

(1)

Properties of Piezoelectric Quartz Crystals

415

(6)

Classification of Crystal Filters

421

(2)

Bridge Filters

423

(2)

Limitation of Bridge Crystal Filters

425

(2)

Spurious Response

427

(1)

Circuit Analysis of a Simple Filter

428

(1)

Element Values in Image-Parameter Formulation

429

(2)

Ladder Filters

431

(3)

Effective Attenuation of Simple Filters

434

(3)

Effective Attenuation of Ladder Networks

437

(2)

Ladder Versus Bridge Filters

439

(1)

Practical Differential Transformer for Crystal Filters

440

(3)

Design of Narrowband Filters with the Aid of Lowpass Model

443

(10)

Synthesis of Ladder Single Sideband Filters

453

(30)

The Synthesis of Intermediate Bandpass Filters

483

(7)

Example of Band-Reject Filter

490

(1)

Ladder Filters with Large Bandwidth

491

(8)

Helical Filters

499

(23)

Introduction

499

(1)

Helical Resonators

499

(6)

Filter with Helical Resonators

505

(8)

Alignment of Helical Filters

513

(5)

Examples of Helical Filtering

518

(4)

Network Transformations

522

(47)

Two-Terminal Network Transformations

522

(6)

Delta-Star Transformation

528

(2)

Use of Transformer in Filter Realization

530

(1)

Norton's Transformation

530

(6)

Applications of Mutual Inductive Coupling

536

(4)

The Realization of LC Filters with Crystal Resonators

540

(5)

Negative and Positive Capacitor Transformation

545

(1)

Bartlett's Bisection Theorem

546

(3)

Cauer's Equivalence

549

(3)

Canonic Bandpass Structures

552

(1)

Bandpass Ladder Filters Having a Canonical Number of Inductors without Mutual Coupling

553

(6)

Impedance and Admittance Inverters

559

(8)

Source and Load Transformation

567

(2)

Bibliography

569

(4)

Index

573

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Handbook of Filter Synthesis

Summary

Author Biography

Table of Contents

Supplemental Materials