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Properties of ultraspherical rational filters

โœ Scribed by Kashefi, M.; Johnson, J.; Johnson, D.

Book ID
117913566
Publisher
IEEE
Year
1974
Weight
215 KB
Volume
21
Category
Article
ISSN
0098-4094

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Ultraspherical rational filters
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โœ Johnson, D.; Johnson, J.; Kashefi, M. ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› Institute of Electrical and Electronics Engineers ๐ŸŒ English โš– 425 KB
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## Let x (*) n, k , k=1, 2, ..., [nร‚2], denote the k th positive zero in increasing order of the ultraspherical polynomial P (\*) n (x). We prove that the function [\*+(2n 2 +1)ร‚ (4n+2)] 1ร‚2 x (\*) n, k increases as \* increases for \*> &1ร‚2. The proof is based on two integrals involved with the s

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โœ Takao Hinamoto; Takashi Hamanaka; Sadao Maekawa ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 511 KB

Two techniques are developed for approximating a given three-dimensional (3-D) digitalhher by a 3-D rational function. The one is by a general 3-D rational function and the other by a 3-D rationalfunction which is separable in the denominator. Each technique relies on the use of mixedjrst and second