INTERPOLATION ON THE REAL FREQUENCY AXIS.
Abstract
This paper presents a systematic procedure, capable of being programmed on a computer or developed graphically, for realizing a positive-real function which takes on a prescribed set of values on the real frequency axis. In the course of doing this, the lack of uniqueness of this function was demonstrated. Several alternate approaches were explored and by using the relationships developed many others can be obtained. Particularly in the design of transmission line circuits, it is necessary to explore the various possibilities in order that a circuit capable of construction at microwave frequencies is achieved. In designs using transmission lines where minimizing the degree is not the prime concern, it is desirable to cascade a length of line between interpolation sections. Since the transmission line is a lossless two-port, the positive reality is not affected and an additional degree of freedom (the characteristic impedance of the line) is obtained. A problem yet to be solved relates to the question of when can an impedance be realized which interpolates to the required set of values and is synthesized as a lossless two-port, requiring no coupled coils, terminated in a resistor. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1965
- Accession Number
- AD0617260
Entities
People
- Lowell I. Smilen
Organizations
- New York University Tandon School of Engineering