Asymptotic region of stability of digital filters represented by y[i] = Ay [i − 1] + By[i − N − 1] + x[i]

Autor:	Asoke K. Nandi
Rok vydání:	1997
Předmět:	Combinatorics Integer Computer Networks and Communications Control and Systems Engineering Plane (geometry) Applied Mathematics Signal Processing Homogeneous space Value (computer science) Geometry Digital filter Stability (probability) Mathematics
Zdroj:	Journal of the Franklin Institute. 334:563-573
ISSN:	0016-0032
DOI:	10.1016/s0016-0032(96)00099-3
Popis:	In this paper an investigation of the stability region of digital filters defined by y[i] = Ay[i − 1] + By[i − N − 1] + x[i], where x[.] is the input, y[.] is the input, A and B are real constants, and N is a non-negative integer is presented. It is demonstrated that the region of stability on the A–B plane possesses symmetries whose nature depend on whether the value of N is odd or even. The asymptotic (as N tends to infinity) region of stability is found to be enclosed by the four lines defined by |A| + |B
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a98e2823a70cd44ba23247edb16ec86a https://doi.org/10.1016/s0016-0032(96)00099-3 Zobrazit plný text záznamu Full Text from ScienceDirect