A note on the solution of certain approximation problems in network synthesis

✍ Scribed by R.M. Fano

• Publisher: Elsevier Science
• Year: 1950
• Tongue: English
• Weight: 795 KB
• Volume: 249
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(50)90497-2

✦ Synopsis

This paper presents a method of determining appropriate functions to be used as amplitude characteristics of networks when certain ideal behaviors are to be approximated within specified tolerances. This method is based on the use of suitable transformations in the complex plane which, by simplifying the geometry of the problem, permit the direct determination by inspection of the desired functions. In the simplest cases of practical interest, this method has the only advantage of presenting results already known in a more intuitive form. On the other hand, it yields also alternative solutions satisfying additional and less conventional requirements and, at the same time, it indicates an approach likely to be fruitful in the solution of more complex approximation problems.