The main objective of this course is to acquaint people with important features and engineering applications from practical nonlinear system techniques developed in the last eight years that were not previously published. These new nonlinear system single-frequency spectral techniques can solve important nonlinear system problems in many fields. Single-input/single-output (SI/SO) nonlinear models are replaced by equivalent multiple-input/single-output (MI/SO) linear models, where the measured physical data can have arbitrary probability, correlation and spectral properties. Nonlinear system amplitude and frequency-domain results can be identified by these new techniques that are easy to compute and interpret. Nonlinear system response effects can be ranked at each frequency with cumulative coherence functions. This course will discuss computed results from recent practical solutions of nonlinear problems in automotive, biomedical and oceanographic fields.
Dr. Julius S. Bendat is an internationally recognized authority in the field of random data analysis and engineering applications. He is a mathematical consultant for a wide range of organizations in both industry and government, and has presented many short courses in the United States and other countries on the topics discussed in the seven previous Wiley books. His latest book, Nonlinear System Techniques and Applications, which is an extensive revision of his previous 1990 Wiley book, Nonlinear System Analysis and Identification from Random Data, is the textbook for this course.
Saturday, 20 June 1998
Morning/Afternoon
Linear Systems, Random Data
Zero-Memory Nonlinear Systems
Sunday, 21 June 1998
Morning/Afternoon
Direct and Reverse MI/SO Techniques
Determination of Nonlinear System Properties
1. Linear Systems, Random Data reviews some basic ideas about linear systems and random data, including probability density functions, correlation functions and spectral density functions. Procedures are explained to solve SI/SO linear system problems and MI/SO linear system problems.
2. Zero-Memory Nonlinear Systems discusses established techniques for analyzing random data through zero-memory nonlinear systems. Results are shown for engineering applications such as the prediction of non-Gaussian output probability density functions from knowledge of input probability density functions, and identification of nonlinear systems from measured input/output data.
3. Direct and Reverse MI/SO Techniques describes how these new practical techniques can analyze and identify nonlinear systems by replacing single-input/single-output (SI/SO) nonlinear models, with and without feedback, with equivalent multiple input/single-output (MI/SO) linear models.
4. Determination of Nonlinear System Properties demonstrates how the new practical direct and reverse MI/SO techniques were used to determine desired nonlinear system properties from measured laboratory data in recent automotive biomedical and oceanographic projects.For further information about the course program contact: Julius Bendat, Tel.: 310-476-6696.
Each participant will receive a copy of Nonlinear System Techniques and Applications (Wiley, 1998) plus a set of special course notes prepared by the instructor.
The registration fee is $300 and covers attendance, instructional materials and coffee breaks. The number of attendees will be limited so please register early to avoid disappointment. Only those who have registered by 15 May will be guaranteed receipt of instructional materials. There will be a $50 discount for registration made prior to 1 May. Full refunds will be made for cancellations prior to 15 May. Any cancellation after 15 May will be charged a $50 processing fee.
Use the meeting registration form to register for this course.