TY - JOUR
T1 - Some new results on the stability of direct-form digital filters with finite wordlength nonlinearities
AU - Ahn, Choon Ki
N1 - Funding Information:
This work was supported in part by the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT & Future Planning ( NRF-2014R1A1A1006101 ) and in part by the Energy Efficiency & Resources Core Technology Program of the Korea Institute of Energy Technology Evaluation and Planning (KETEP), granted financial resource from the Ministry of Trade, Industry & Energy, Republic of Korea ( No. 20142010102390 ).
PY - 2015/3
Y1 - 2015/3
N2 - This paper proposes a new criterion for the input/output-to-state stability (IOSS) of interfered direct-form digital filters with finite wordlength nonlinearities based on an augmented Lyapunov function. Without external interferences, the output-to-state stability (OSS) and asymptotic stability of direct-form digital filters are guaranteed under the proposed criterion. An improved criterion is also proposed for the IOSS and OSS of interfered direct-form digital filters, with the introduction of four slack matrices. A new state-norm estimator for direct-form digital filters is constructed based on an exponential-decay IOSS criterion. The criteria presented in this paper are expressed by linear matrix inequalities (LMIs). Two numerical examples demonstrate the effectiveness of the proposed results.
AB - This paper proposes a new criterion for the input/output-to-state stability (IOSS) of interfered direct-form digital filters with finite wordlength nonlinearities based on an augmented Lyapunov function. Without external interferences, the output-to-state stability (OSS) and asymptotic stability of direct-form digital filters are guaranteed under the proposed criterion. An improved criterion is also proposed for the IOSS and OSS of interfered direct-form digital filters, with the introduction of four slack matrices. A new state-norm estimator for direct-form digital filters is constructed based on an exponential-decay IOSS criterion. The criteria presented in this paper are expressed by linear matrix inequalities (LMIs). Two numerical examples demonstrate the effectiveness of the proposed results.
KW - Digital filter
KW - Finite wordlength effect
KW - Input/output-to-state stability (IOSS)
KW - Output-to-state stability (OSS)
KW - State-norm estimator
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U2 - 10.1016/j.sigpro.2014.10.013
DO - 10.1016/j.sigpro.2014.10.013
M3 - Article
AN - SCOPUS:84911087594
VL - 108
SP - 549
EP - 557
JO - Signal Processing
JF - Signal Processing
SN - 0165-1684
ER -