Analog and digital filters with α -splines
| Autor: | José Sáez-Landete, Fernando Cruz-Roldán, Miguel Ángel Raposo-Sánchez |
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| Rok vydání: | 2017 |
| Předmět: |
Signal processing
Discretization Applied Mathematics 020206 networking & telecommunications 02 engineering and technology Transition band 01 natural sciences 010309 optics Computational Theory and Mathematics Artificial Intelligence Control theory Frequency domain 0103 physical sciences Signal Processing 0202 electrical engineering electronic engineering information engineering Computer Vision and Pattern Recognition Electrical and Electronic Engineering Statistics Probability and Uncertainty Network synthesis filters Digital filter Infinite impulse response Algorithm Linear filter Mathematics |
| Zdroj: | Digital Signal Processing. 66:1-9 |
| ISSN: | 1051-2004 |
| DOI: | 10.1016/j.dsp.2017.03.003 |
| Popis: | Analytical expressions of analog and digital α-spline filters with continuous transition bands are derived. Previous works based on β-spline functions consider the order of the spline function, which must be a natural number, as a parameter to sharpen the transition band. However, the inclusion of an α-spline model provides greater flexibility since its order can be a real number, it depends on three parameters, and it can be used to model the transition band in the frequency domain. This paper presents the formulation of analog α-spline filters and the corresponding discretization to obtain the frequency and the impulse responses of their digital counterparts. There is also shown the design of α-spline digital filters minimizing two different least integral squared errors. As these methods do not provide direct control over the stopband attenuation, a third method which leads to principally flat digital filters is introduced. Several numerical examples demonstrate the efficiency and flexibility of the proposed techniques. |
| Databáze: | OpenAIRE |
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