SYNTHESIS OF RECURSIVE DIGITAL FILTERS.
Abstract
This investigation is concerned with conditions involved in the methods suitable for synthesis of stable linear digital recursive filters that may be physically realized. It is shown that any amplitude frequency transfer function that is expressible as an even trigonometric rational polynomial can be synthesized by a real stable linear digital recursive filter. The degree of the corresponding difference equation is twice the degree of the denominator of the rational trigonometric polynomial. A member of the class of even rational trigonometric functions which exhibit pointwise convergence to the ideal rectangular low- or high-pass amplitude frequency transfer function is shown to approximate the ideal rectangular filter more closely than the corresponding classical continuous Butterworth filter. This class of filters is then mechanized, and the phase and unit-impulse response functions are calculated for the corresponding difference equations of Degrees 2 and 4. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 15, 1966
- Accession Number
- AD0482486
Entities
People
- Howard Holtz
Organizations
- The Aerospace Corporation