Authors' reply to "Comments on 'Min-Norm interpretations and consistency of MUSIC, MODE, and ML'"

For original article see Ephraim et al. (IEEE Trans. Signal Processing, vol.43, p.2937-42, December 1995). For comments to original article see Stoica and Ottersten (IEEE Trans. Signal Processing, vol.46, p.2262-3, August 1998). In the present reply to the comments the authors note that the signal subspace fitting approach of Ephraim et al. (1995) is different from that of Viberg and Ottersten (1991), and the consistency proof in Ephraim et al. contains the missing steps in the proofs of Viberg and Ottersten, and Stoica and Nehorai (1989). These facts, as well as the correctness of the results in Ephraim et al., are not disputed in Stoica and Ottersten. Stoica and Ottersten rather assert that the results in Ephraim et al. were either known or obvious.

[1]  G.B. Giannakis,et al.  Performance analysis of blind channel estimators based on non-redundant periodic modulation precoders , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[2]  T. Kailath,et al.  A least-squares approach to blind channel identification , 1995, IEEE Trans. Signal Process..

[3]  Eric Moulines,et al.  Subspace methods for the blind identification of multichannel FIR filters , 1995, IEEE Trans. Signal Process..

[4]  Björn E. Ottersten,et al.  Comments on "Min-norm interpretations and consistency of MUSIC, MODE, and ML" , 1998, IEEE Trans. Signal Process..

[5]  Georgios B. Giannakis,et al.  Blind channel identification and equalization with modulation-induced cyclostationarity , 1998, IEEE Trans. Signal Process..

[6]  P. Loubaton,et al.  Blind second-order identification of FIR channels: forced cyclostationarity and structured subspace method , 1997, IEEE Signal Process. Lett..

[7]  Björn E. Ottersten,et al.  Sensor array processing based on subspace fitting , 1991, IEEE Trans. Signal Process..

[8]  Xianda Zhang,et al.  Determination of the MA order of an ARMA process using sample correlations , 1993, IEEE Trans. Signal Process..

[9]  Petre Stoica,et al.  MUSIC, maximum likelihood, and Cramer-Rao bound , 1989, IEEE Transactions on Acoustics, Speech, and Signal Processing.

[10]  L. Tong.  Identifiability of minimal, stable, rational, causal systems using second-order output cyclic spectra , 1995, IEEE Trans. Autom. Control..

[11]  Lang Tong,et al.  Blind identification and equalization based on second-order statistics: a time domain approach , 1994, IEEE Trans. Inf. Theory.

[12]  Philippe Loubaton,et al.  Blind equalization in the presence of jammers and unknown noise: solutions based on second-order cyclostationary statistics , 1998, IEEE Trans. Signal Process..

[13]  Georgios B. Giannakis,et al.  Transmitter induced cyclostationarity for blind channel equalization , 1997, IEEE Trans. Signal Process..

[14]  Neri Merhav,et al.  Min-norm interpretations and consistency of MUSIC, MODE and ML , 1995, IEEE Trans. Signal Process..

[15]  G. Giannakis.  Filterbanks for blind channel identification and equalization , 1997, IEEE Signal Processing Letters.

[16]  John A. C. Bingham,et al.  Theory and Practice of Modem Design , 1988 .