Analog Filters using MATLAB

ThisbookwaswrittenforuseinacourseatLinkopingUniversityandtoaidthe ] electricalengineertounderstandanddesignanalogfilters.Mostoftheadvanced mathematicsrequiredforthesynthesisofanalogfiltershasbeenavoidedby providingasetofMATLABfunctionsthatallowssophisticatedfilterstobe designed.MostofthesefunctionscaneasilybeconvertedtorununderOctaveas well. Thefirstchaptergivesanoverviewoffiltertechnologies, terminology, andbasicconcepts.Approximationofcommonfrequencyselectivefilters andsomemoreadvancedapproximationsarediscussedinChapter2.The reader is recommended to compare the standard approximation with respecttothegroupdelay, e.g., Example2.5, andlearntousethecor- sponding MATLAB functions. Geometrically symmetric frequency tra- formationsarediscussedaswellasmoregeneralsynthesisusingMATLAB functions. Chapter 3 deals with passive LC filters with lumped elements. The reader may believe that this is an outdated technology. However, it is stillbeingusedandmoreimportantlythetheorybehindalladvancedfilter structures is based on passiveLC filters. This is also the case for digital and switched-capacitor filters. The reader is strongly recommended to carefully study the principle of maximum power transfer, sensitivity to element errors, and the implications of Equation (3.26). MATLAB fu- tionsareusedforthesynthesisofladderandlatticestructures.Chapter4 deals with passive filters with distributed elements. These are useful for veryhigh-frequencyapplications, butalsointhedesignofcorresponding wavedigitalfilters. InChapter5, basiccircuitelementsandtheirdescriptionasone-, two-, and three-portsarediscussed. Chapter 6 discusses first- and second-order sections using single and multiple amplifiers. The reader is recommended to study the implication ofthe gain-sensitivityproductandthetwo-integratorloop.Chapter7d- cusses coupled forms and signal scaling, and Chapter 8 discusses various methods for immitance simulation. Wave active filters are discussed in v vi Preface Chapter9andleapfrogfiltersinChapter10.Finally, tuningtechniquesare discussedinChapter11. Textwithasmallerfontiseithersolvedexamplesormaterialthatthereader mayskipoverwithoutlosingthemain

Analog Filters Using MATLAB provides a comprehensive overview of the theory and modern design methods for frequency-selective analog filters as well as describing how to select and design analog filters using MATLAB. The material covers the synthesis and design of classical passive filters with both lumped and distributed circuit elements, and active filters based on operational amplifiers, transconductors, and current conveyors. A supplementary toolbox in MATLAB is employed in order to minimize the need for advanced mathematics.

The author includes many topics such as filter technologies, terminology, and basic concepts, common frequency-selective filters, and advanced approximations. Discussions of passive LC filters with lumped elements and passive filters with distributed elements are also included. Other topics covered are basic circuit elements and their descriptions, first- and second-order sections using single and multiple amplifiers, coupled forms and signal scaling, and various methods for immitance simulation among others.

Analog Filters Using MATLAB can be used both at the undergraduate and graduate levels as well as for industrial designs. The author also includes a wealth of solved examples as well as end of chapter problems for both students and instructors.