Variable Taylor realization and improved approximation of FIR fractional delay systems

✍ Scribed by Samadi, Saed; Iwakura, Hiroshi

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 107 KB
• Volume: 26
• Category: Article
• ISSN: 0098-9886
• DOI: 10.1002/(sici)1097-007x(199809/10)26:5<513::aid-cta25>3.0.co;2-b

✦ Synopsis

A modular realization, based on the Taylor structure, is proposed for maximally at fractional delay FIR systems. The realization enjoys independence of the multiplier coe cients to changes of the system order, availability of closed-form formulas and recurrence for the multiplier coe cients, requirement of one less multiplier coe cient compared to the direct-form realizations, and existence of schemes for e cient variable delay and order implementations. It is shown that for a variable delay structure, the coe cient updating operation can be performed e ciently using a simple recurrence, and the transient e ects can be mitigated to at most two samples. A modiÿed form of the structure with enhanced modularity is also proposed for odd-order systems. Two variable delay schemes are proposed for this modiÿed structure: A transient-free scheme and a scheme to gradually improve the approximations during the transient phase. A method is also proposed for improved approximation under a ÿxed total number of variable multiplier coe cients.