SELECTION OF A DELAY LINE MODEL
Abstract
A mathematical model of a linear system can be derived using an approximation of the convolution integral. A model is selected such that responses to commonly occurring inputs are closest to corresponding responses of the system. The transfer function of the model is the product of the system transfer function by a linear combination of two delay terms divided by an infinite product. If the model delay time is small the infinite product may be replaced by 1, and thus may be dropped. The delay time and the number of delay elements are selected such that the responses of the simplified model are closest to corresponding responses of the system. The validity of the simplification is investigated for various inputs by comparing the responses of the simplified model with those of the exact model. It is found for several types of commonly occurring inputs that the number of delay elements should be chosen as large as physically possible. The results show that the value of the delay time should be selected as a function of the number of delay elements and of the system bandwidth. It is further shown that this function is the same for each of the inputs.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1964
- Accession Number
- AD0438258
Entities
People
- Lawrence L. Hoberock
- Rufus Oldenburger
Organizations
- Purdue University