Electronic Filters: Theory, Numerical Recipes, And Design Practice Based On The RM Software

Description

This book provides a comprehensive overview of signal filtering, including an introduction, definitions of the terms and algorithms for numerical calculation of the properties of the transfer function in frequency and time domains. All the chapters discuss the theoretical background and explain the underlying algorithms including the iterative numerical procedures necessary to obtain the solutions. It starts by considering polynomial filters, offering a broad range of solutions and introducing critical monotonic passband amplitude characteristics (CMAC). It also describes modifications to the classical Chebyshev and elliptic filters to overcome their limitations. In the context linear phase low-pass prototypes, it presents filters approximating constant group delay in the equi-ripple manner for the first time. Further, it discusses new procedures to improve the selectivity of all polynomial filters by introducing transmission zeros, such as filters with multiple transmission zeros on the omega axis, as well as phase correction of selective filters for both low-pass and band-pass filters. Other topics explored include linear phase all-pass (exhibiting low-pass group delay approximation) filters; all-pass filters (exhibiting band-pass group delay approximation) with linear and parabolic phase synthesized directly as band-pass; high-pass, and band-stop amplitude characteristic frequency transformations to produce band-pass; and direct synthesis of linear and parabolic phase selective band-pass filters synthesized directly as band-pass. Lastly, for system (physical) synthesis, the book describes the algorithms and procedures for the following: cascade passive LC; active cascade RC; active parallel RC (for the first time); active parallel SC; Gm-C based on LC prototypes; and parallel IIR based on bilinear transformation of analog prototypes. Every algorithm, be it in transfer function synthesis or in system synthesis, is accompanied by a proper nontrivial comprehensive example produced by the RM software. Front Matter ....Pages i-xvii Front Matter ....Pages 1-1 Introduction (Vančo Litovski)....Pages 3-9 Basics of Signals and Filtering (Vančo Litovski)....Pages 11-36 Transfer Function and Frequency and Time Domain Response (Vančo Litovski)....Pages 37-54 Frequency Transformations in the Analog Domain and Applications (Vančo Litovski)....Pages 55-73 Introduction to the RM Software for Filter Design (Vančo Litovski)....Pages 75-98 Front Matter ....Pages 99-99 Low-Pass Selective Filters with Critical Monotonic Amplitude Characteristic (CMAC) in the Passband (Vančo Litovski)....Pages 101-125 Chebyshev and Modified Chebyshev Filters (Vančo Litovski)....Pages 127-144 Low-Pass Selective Filters with Increased Selectivity (Vančo Litovski)....Pages 145-169 Modified Elliptic Low-Pass Filters (Vančo Litovski)....Pages 171-183 Linear Phase Low-Pass Filters with Improved Selectivity (Vančo Litovski)....Pages 185-207 Low-Pass and Band-Pass Group Delay Correctors (Vančo Litovski)....Pages 209-225 Direct Bandpass Synthesis of Linear and Parabolic Phase All-Pass Filters (Vančo Litovski)....Pages 227-240 Direct Bandpass Synthesis of Linear and Parabolic Phase Selective Filters (Vančo Litovski)....Pages 241-253 Front Matter ....Pages 255-255 Passive RLC Cascade Circuit Synthesis (Vančo Litovski)....Pages 257-291 Active RC Cascade Circuit Synthesis (Vančo Litovski)....Pages 293-329 Parallel Active-RC Circuit Synthesis (Vančo Litovski)....Pages 331-347 Gm-C Filter Synthesis Based on LC Prototypes (Vančo Litovski)....Pages 349-364 Parallel Active SC Circuit Synthesis (Vančo Litovski)....Pages 365-397 IIR Digital Filter Synthesis Based on Bilinear Transformation of Analog Prototypes (Vančo Litovski)....Pages 399-432 Back Matter ....Pages 433-437