A novel method is proposed for the synthesis of low-sensitivity digital filters meeting any prescribed transfer function. The method is based on extracting an orthogonal matrix from the filter state matrix, resulting in structures that need n Givens rotations and at most n#1 multipliers. Thus the pr
On the sensitivity analysis of digital filters
β Scribed by A. Liberatore; S. Manetti
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 283 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0098-9886
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β¦ Synopsis
Abstract
A very quick and simple algorithm for the overall evaluation of the sensitivity performance of a digital filter is introduced.
To this end, it is shown that the sensitivity of the system function with respect to a given coefficient comes out equal to the output of a special digital network with unitary input. Having defined, then, an βoverall sensitivity indexβ as the sum of the various network sensitivities, it is shown that such an index can still be considered as the output of a digital network with unitary input. This network is composed of two subnetworks, identical to the original circuit, connected by a special set of branches.
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