| Paper title: |
About Converting a Set into a Minimum-Phase Sequence |
| Published in: | Issue 1, (Vol. 3) / 2009 |
| Publishing date: | 2009-04-14 |
| Pages: | 48-56 |
| Author(s): | Rusu Corneliu, Astola Jaakko |
| Abstract. | In this paper we discuss whether a given finite set of complex numbers can be ordered such that the derived sequence is minimum-phase. Knowing that every sequence can be extended to a minimum-phase sequence, we conclude that a set can always be converted to a minimum-phase sequence using an additional sample. We characterize several types of sets that can be ordered in minimum-phase sequences with no additional sample. These sets do not span the sets of all real or complex sequences of finite length. |
| Keywords: | Signal Reconstruction, Schur Transform |
| References: | 1. M. H. Hayes, J. S. Lim, and A. V. Oppenheim, “Signal reconstruction from phase or magnitude”, IEEE Transactions on Acoustics, Speech, and Signal Processing, ASSP-28(6), Dec. 1980, pp. 672.680. 2. P. Henrici, Applied and Computational Complex Analysis, John Wiley & Sons, New York, 1974. 3. W. Kim, “Two-dimensional phase retrieval using enforced minimum-phase signals”, Journal of the Korean Physical Society, 44(2), Feb. 2004, pp. 287.292. 4. B. Kingslake and B. J. Thompson, editors, Applied Optics and Optical Engineering, Academic Press, New-York, 1980. 5. J. G. Proakis and D. G. Manolakis, Introduction to digital signal processing, Macmillan, New-York, 1988. 6. C. Rusu and J. Astola, “Sequences ordering in minimumphase sequences”, In Proc. EUSIPCO 2004, pp. 93.96, TU Wien, Sept. 2004. 7. C. Rusu and J. Astola, “About ordering sequences in minimumphase sequences”, In Proc. EUSIPCO 2006, Florence, Sept. 2006. 8. C. Rusu and J. Astola, “Extending a sequence into a minimumphase sequences”, In Proc. SMMSP 2007, Moskow, Sept. 2007. |
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