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To enhance the performance in IIR system identification scenarios, a hybrid combination of FIR and IIR adaptive filters (AFs) via a supervisor that senses which one is performing best is proposed. The FIR-LMS AF is short, providing fast and robust convergence, whereas the IIR-LMS AF is slow but accurate. The stagnation effect caused by the different convergence rates is tackled through cyclic weight transfers FIR → IIR, which also ensure good tracking properties. A design technique for the transfers cycle length is proposed, providing good convergence while keeping computational cost low.
References
-
-
1)
-
4. Sayed, A.H.: ‘Adaptive filters’ (Wiley-IEEE Press, New Jersey, USA, 2008).
-
2)
-
2. Lopes, C.G., Satorius, E.H., Estabrook, P., Sayed, A.H.: ‘Adaptive carrier tracking for Mars to Earth communications during entry, descent, and landing’, IEEE Trans. Aerosp. Electron. Syst., 2010, 46, (4), pp. 1865–1879 (doi: 10.1109/TAES.2010.5595600).
-
3)
-
9. Carini, A., Mathews, V.J., Sicuranza, G.L.: ‘Sufficient stability bounds for slowly varying direct-form recursive linear filters and their applications in adaptive IIR filters’, IEEE Trans. Signal Process., 1999, 47, (9), pp. 2561–2567 (doi: 10.1109/78.782206).
-
4)
-
8. So, H.C.: ‘Sign-sign algorithm for unbiased IIR filtering in impulsive noise’, Electron. Lett., 2004, 40, (11), pp. 704–706 (doi: 10.1049/el:20040468).
-
5)
-
12. Luk, F.T., Qiao, S.: ‘A fast eigenvalue algorithm for Hankel matrices’, Linear Algebr. Appl., 2000, 316, (1), pp. 171–182, (doi: 10.1016/S0024-3795(00)00084-7).
-
6)
-
7. Kwan, H.K.: ‘Adaptive IIR digital filters with saturation outputs for noise and echo cancellation’, Electron. Lett., 2002, 38, pp. 661–663 (doi: 10.1049/el:20020464).
-
7)
-
13. Wang, L.-x., Xiang, W., Zhang, J.-y.: ‘The Monte Carlo framework for adaptive IIR filter and arma parameters estimation’. IET Conf. Wireless, Mobile and Sensor Networks, Shanghai, China, December 2007, pp. 725–728.
-
8)
-
10. Arenas-Garcia, J., Figueiras-Vidal, A.R., Sayed, A.H.: ‘Mean-square performance of a convex combination of two adaptive filters’, IEEE Trans. Signal Process., 2006, 54, (3), pp. 1078–1090 (doi: 10.1109/TSP.2005.863126).
-
9)
-
B. Beliczynski ,
I. Kale ,
G.D. Cain
.
Approximation of FIR by IIR digital filters: an algorithm based on balanced model reduction.
IEEE Trans. Signal Process.
,
532 -
542
-
10)
-
11. Silva, M.T.M., Nascimento, V.H., Arenas-Garcia, J.: ‘A transient analysis for the convex combination of two adaptive filters with transfer of coefficients’. 2010 IEEE Int. Conf. Acoustics Speech and Signal Processing (ICASSP), Dallas, TX, USA, March 2010, pp. 3842–3845.
-
11)
-
3. Diniz, P.S.R.: ‘Adaptive filtering: Algorithms and practical implementation’ (Springer, Rio de Janeiro, Brazil, 2008).
-
12)
-
5. Regalia, P.A.: ‘Adaptive IIR filtering in signal processing and control’ (CRC Press, New York, USA, 1994).
-
13)
-
6. Burt, P.M.S., Gerken, M.: ‘A polyphase IIR adaptive filter: error surface analysis and application’. IEEE Int. Conf. Acoustics, Speech, and Signal Processing, April 1997, Vol. 3, pp. 2285–2288.
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content/journals/10.1049/el.2014.0248
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FIR–IIR adaptive filters hybrid combination