An explicit formula for the general bilinear transformation of polynomials with its application
β Scribed by S. Erfani; M. Ahmadi; V. Ramachandran
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 352 KB
- Volume
- 325
- Category
- Article
- ISSN
- 0016-0032
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β¦ Synopsis
An explicit formula for establishing the relationship between the original coeficients of a single-variable polynomial and the coeficients of the transformed polynomial upon application of the general bilinear transformation is derived. The derivation is based on an alternative approach which is simpler than existing schemes. The result is applied to produce eficient algorithms for the digital simulation of analog systems as well as for the realization of variable recursive digitaljlters.
π SIMILAR VOLUMES
The paper presents the non-singular forms of Green's formula and its normal derivative of exterior problems for three-dimensional Laplace's equation. The main advantage of these modi"ed formulations is that they are amenable to solution by directly using quadrature formulas. Thus, the conventional b