Abstract
This paper reveals the class of digital filters with all second-order modes equal. We first prove that if the second-order modes of a digital filter are all equal, the L2-sensitivity minimization problem of the digital filter can be solved analytically. We derive a general expression of the transfer function of digital filters with all second-order modes equal. Furthermore, we show that the general expression is obtained by a frequency transformation on a first-order prototype FIR digital filter.
Original language | English |
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Article number | 5982445 |
Pages (from-to) | 5236-5242 |
Number of pages | 7 |
Journal | IEEE Transactions on Signal Processing |
Volume | 59 |
Issue number | 11 |
DOIs | |
Publication status | Published - 2011 Nov |
Keywords
- Analytical solutions' L-sensitivity minimization
- first-order FIR digital filters
- frequency transformations
- second-order modes
- state-space digital filters
ASJC Scopus subject areas
- Signal Processing
- Electrical and Electronic Engineering