Signal Analysis
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June , McGraw-Hill Education
Paperback - International Ed edition
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Biography
Athanasios Papoulis earned diplomas in Mechanical Engineering () and Electrical Engineering () from the Polytechnic Institute of Athens. At the University of Pennsylvania he earned the MS in EE in ; the MS in Mathematics in and the Ph.D. in Mathematics in
Dr. Papoulis taught at the University of Pennsylvania during to , and at Union College in to He has been a professor at the Polytechnic Institute of New York (formerly Polytechnic Institute of Brooklyn) since He has been a visiting professor at the Darmstadt Technische Hochschule, W. Germany (); the University of California at Los Angeles, California (); and Stanford University, California (). He also presented lecture series at the Ferrari Institute, Italy () and at the Universities ofBarcelona and Madrid, Spain (, ).
Dr. Papoulis held a National Science Foundation Science Faculty Fellowship in ; was elected an IEEE Fellow in ; and received the Distinguished Alumnus Award, Gold Medal, from the University of Pennsylvania in
The world is most aware of Professor Papoulis through his text books, translated into many languages, which are indicative of his devotion to teaching. They illustrate his unique ability to
The Papoulis Filter (aka Optimum "L" Filter)
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Introduction
Figure 1: Athanasios Papoulis. (Source)
Analog engineers often have to design filters, which generally entails a lot of polynomial manipulation. Since I am currently designing some active filters, I thought it would be worthwhile documenting a filter function that I am using right now, but that is not widely known. This is the Papoulis or Optimum "L" filter. For this article, I will refer to this filter as the "L-filter." The "L" stands for Legendre, a mathematician whose like named polynomials are used in the derivation of the function.
This particular post made extensive use of Mathcad's symbolic processor. I left pretty impressed with what it could do.
Background
Most active filters are designed using one of four filter functions:
- Butterworth
This is a very friendly filter function. It has the flattest of all passbands and tends to have a well-behaved transient response because its poles are relatively low Q. Unfortunately, its roll-off rate is rather poor. - Chebyshev
This filter is covDescription
The third edition emphasizes a concentrated revision of Parts II &#; III (leaving Part I virtually intact). The larger sections will show greater elaboration of the basic concepts of stochastic processes, typical sequences of random variables, and a greater emphasis on realistic methods of spectral estimation and analysis. There are problems, exercises, and applications throughout. Aimed at senior graduate students in electrical engineering, math, and physics departments.
User&#;s Reviews
Reviews from Amazon users which were colected at the time this book was published on the website:
⭐I term this a &#;monograph&#; because it reads as a series of investigations into specific applications of signal processing (heavily oriented toward spectrum and moment analysis) within numerous areas: biomedical, oceanographic, and so forth. Despite the author&#;s claims, the degree of mathematical sophistication exhibited in the text is refreshing. There is much to be found here, extremely concisely summarized. As such, the text can readily serve as a refresher course that brings the mathematically astute professional up to date with material he may not have accessed for t
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