TY - GEN
T1 - System identificationin the wavelet domain with crossband filters
AU - Cohen, Erez
AU - Cohen, Israel
PY - 2008/12/1
Y1 - 2008/12/1
N2 - In this paper, we present a wavelet domain system identification scheme, which takes into consideration the cross-terms between different frequency bands. Wavelet domain subband processing is advantageous whenever it produces a sparse representation of the processed signals. Perfect representation of linear time invariant (LTI) systems in the discrete-time wavelet transform (DTWT) domain requires time-invariant band-to-band filters and time-varying crossband filters between distnict subbands. We represent the response between two different subbands as a convolution with an appropriate multirate crossband filter. This reduces the model mismatch, which improves the identification in high SNR environment. The crossband filters formulation is extended to the twodimensional wavelet domain. Experimental results demonstrate the advantages of crossband filters usage.
AB - In this paper, we present a wavelet domain system identification scheme, which takes into consideration the cross-terms between different frequency bands. Wavelet domain subband processing is advantageous whenever it produces a sparse representation of the processed signals. Perfect representation of linear time invariant (LTI) systems in the discrete-time wavelet transform (DTWT) domain requires time-invariant band-to-band filters and time-varying crossband filters between distnict subbands. We represent the response between two different subbands as a convolution with an appropriate multirate crossband filter. This reduces the model mismatch, which improves the identification in high SNR environment. The crossband filters formulation is extended to the twodimensional wavelet domain. Experimental results demonstrate the advantages of crossband filters usage.
KW - Discrete-time wavelet transform
KW - Subband filtering
KW - System identification
KW - System modeling
UR - https://www.scopus.com/pages/publications/62749144013
U2 - 10.1109/EEEI.2008.4736709
DO - 10.1109/EEEI.2008.4736709
M3 - Conference contribution
AN - SCOPUS:62749144013
SN - 9781424424825
T3 - IEEE Convention of Electrical and Electronics Engineers in Israel, Proceedings
SP - 300
EP - 304
BT - 2008 IEEE 25th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2008
T2 - 2008 IEEE 25th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2008
Y2 - 3 December 2008 through 5 December 2008
ER -