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Approximate marginalization of unknown scattering in quantitative photoacoustic tomography
Perfect radar pulse compression via unimodular fourier multipliers
1. | University of Oulu, Sodankylä Geophysical Observatory, Tähteläntie 62, FI-99600 Sodankylä, Finland |
2. | University of Helsinki, Department of Mathematics and Statistics, Gustaf Hällströmin katu 2b, FI-00014 University of Helsinki |
3. | University of Oulu, Department of Physics, P.O.Box 3000, FI-90014 University of Oulu, Finland |
References:
[1] |
R. H. Barker, Group synchronizing of binary digital systems, in Communication Theory (ed. W. Jackson), Academic Press, New York, 1953, 273-287. |
[2] |
D. Blackwell, Comparison of experiments, in Proc. Second Berkeley Symposium on Math. Stat. Probab., 1950, University of California Press, Berkeley and Los Angeles, 1951, 93-102. |
[3] |
B. Damtie, M. Lehtinen, M. Orispää and J. Vierinen, Mismatched filtering of aperiodic quadriphase codes, IEEE Trans. Inform. Theory, 54 (2008), 1742-1749.
doi: 10.1109/TIT.2008.917655. |
[4] |
B. Damtie and M. S. Lehtinen, Comparison of the performance of different radar pulse compression techniques in an incoherent scatter radar measurement, Ann. Geophys., 27 (2009), 797-806.
doi: 10.5194/angeo-27-797-2009. |
[5] |
M. J. E. Golay, Complementary series, IRE Trans., IT-7 (1961), 82-87. |
[6] |
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, $7^{th}$ edition, Elsevier/Academic Press, 2007. |
[7] |
A. Huuskonen and M. S. Lehtinen, The accuracy of incoherent scatter measurements: Error estimates valid for high signal levels, J. Atmos. Sol.-Terr. Phy., 58 (1996), 453-463.
doi: 10.1016/0021-9169(95)00048-8. |
[8] |
K. E. Iverson, A Programming Language, New York: Wiley, p. 11, 1962. |
[9] |
J. R. Klauder, A. C. Price, S. Darlington and W. J. Albersheim, The theory and design of chirp radars, The Bell System Technical Journal, 39 (1960), 745-808.
doi: 10.1002/j.1538-7305.1960.tb03942.x. |
[10] |
D. Knuth, Two notes on notation, Amer. Math. Monthly, 99 (1992), 403-422.
doi: 10.2307/2325085. |
[11] |
L. Le Cam, Sufficiency and approximate sufficiency, Ann. Math. Statist., 35 (1964), 1419-1455.
doi: 10.1214/aoms/1177700372. |
[12] |
L. Le Cam, Asymptotic Methods in Statistical Decision Theory, Springer Series in Statistics, Springer-Verlag, New York, 1986.
doi: 10.1007/978-1-4612-4946-7. |
[13] |
M. S. Lehtinen, On optimization of incoherent scatter measurements, Adv. Space Res., 9 (1989), 133-141.
doi: 10.1016/0273-1177(89)90351-7. |
[14] |
M. S. Lehtinen, B. Damtie and T. Nygrén, Optimal binary phase codes and sidelobe-free decoding filters with application to incoherent scatter radar, Ann. Geophys., 22 (2004), 1623-1632.
doi: 10.5194/angeo-22-1623-2004. |
[15] |
M. S. Lehtinen, I. I. Virtanen and J. Vierinen, Fast comparison of IS radar code sequences for lag profile inversion, Ann. Geophys., 26 (2008), 2291-2301.
doi: 10.5194/angeo-26-2291-2008. |
[16] |
M. Lehtinen, B. Damtie, P. Piiroinen and M. Orispää, Perfect and almost perfect pulse compression codes for range spread radar targets, Inverse Problems and Imaging, 3 (2009), 465-486.
doi: 10.3934/ipi.2009.3.465. |
[17] |
M. S. Lehtinen and B. Damtie, Radar baud length optimisation of spatially incoherent time-independent targets, J. Atmos. Sol.-Terr. Phy., 105-106 (2013), 281-286.
doi: 10.1016/j.jastp.2012.10.010. |
[18] |
N. Levanon and E. Mozeson, Radar Signals, John Wiley & Sons, Inc. Hoboken, New Jersey, 2004.
doi: 10.1002/0471663085. |
[19] |
P. Piiroinen, Statistical measurements, experiments and applications, Ann. Acad. Sci. Fenn. Math. Diss. No., 143 (2005), 89pp. |
[20] |
J. Pirttilä, M. S. Lehtinen, A. Huuskonen and M. Markkanen, A proposed solution to the range-doppler dilemma of weather radar measurements by using the SMPRF codes, practical results, and a comparison with operational measurements, J. Appl. Meteor., 44 (2005), 1375-1390.
doi: 10.1175/JAM2288.1. |
[21] |
L. Roininen and M. S. Lehtinen, Perfect pulse-compression coding via ARMA algorithms and unimodular transfer functions, Inverse Problems and Imaging, 7 (2013), 649-661.
doi: 10.3934/ipi.2013.7.649. |
[22] |
H. H. Schaefer, Banach Lattices and Positive Operators, Die Grundlehren der mathematischen Wissenschaften, Band 215, Springer-Verlag, New York, 1974. |
[23] |
C. E. Shannon, Communication in the presence of noise, Proc. I.R.E., 37 (1949), 10-21. |
[24] |
A. N. Shiryaev and V. G. Spokoiny, Statistical Experiments and Decisions, Advanced Series on Statistical Science & Applied Probability, 8, World Scientific Publishing Co. Inc., River Edge, NJ, 2000.
doi: 10.1142/9789812779243. |
[25] |
M. I. Skolnik, Radar Handbook, $2^{nd}$ edition, McGraw-Hill Publishing Company, 1990. |
[26] |
E. Torgersen, Comparison of Statistical Experiments, Encyclopedia of Mathematics and its Applications, 36, Cambridge University Press, Cambridge, 1991.
doi: 10.1017/CBO9780511666353. |
[27] |
H. L. van Trees, Detection, Estimation and Modulation theory, part III, John Wiley and Sons, 1971. |
[28] |
J. Vierinen, On Statistical Theory of Radar Measurements, Ph.D. Dissertation, Aalto University, 2012. |
[29] |
A. C. Zaanen, Introduction to Operator Theory in Riesz Spaces, Springer-Verlag, Berlin, 1997.
doi: 10.1007/978-3-642-60637-3. |
show all references
References:
[1] |
R. H. Barker, Group synchronizing of binary digital systems, in Communication Theory (ed. W. Jackson), Academic Press, New York, 1953, 273-287. |
[2] |
D. Blackwell, Comparison of experiments, in Proc. Second Berkeley Symposium on Math. Stat. Probab., 1950, University of California Press, Berkeley and Los Angeles, 1951, 93-102. |
[3] |
B. Damtie, M. Lehtinen, M. Orispää and J. Vierinen, Mismatched filtering of aperiodic quadriphase codes, IEEE Trans. Inform. Theory, 54 (2008), 1742-1749.
doi: 10.1109/TIT.2008.917655. |
[4] |
B. Damtie and M. S. Lehtinen, Comparison of the performance of different radar pulse compression techniques in an incoherent scatter radar measurement, Ann. Geophys., 27 (2009), 797-806.
doi: 10.5194/angeo-27-797-2009. |
[5] |
M. J. E. Golay, Complementary series, IRE Trans., IT-7 (1961), 82-87. |
[6] |
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, $7^{th}$ edition, Elsevier/Academic Press, 2007. |
[7] |
A. Huuskonen and M. S. Lehtinen, The accuracy of incoherent scatter measurements: Error estimates valid for high signal levels, J. Atmos. Sol.-Terr. Phy., 58 (1996), 453-463.
doi: 10.1016/0021-9169(95)00048-8. |
[8] |
K. E. Iverson, A Programming Language, New York: Wiley, p. 11, 1962. |
[9] |
J. R. Klauder, A. C. Price, S. Darlington and W. J. Albersheim, The theory and design of chirp radars, The Bell System Technical Journal, 39 (1960), 745-808.
doi: 10.1002/j.1538-7305.1960.tb03942.x. |
[10] |
D. Knuth, Two notes on notation, Amer. Math. Monthly, 99 (1992), 403-422.
doi: 10.2307/2325085. |
[11] |
L. Le Cam, Sufficiency and approximate sufficiency, Ann. Math. Statist., 35 (1964), 1419-1455.
doi: 10.1214/aoms/1177700372. |
[12] |
L. Le Cam, Asymptotic Methods in Statistical Decision Theory, Springer Series in Statistics, Springer-Verlag, New York, 1986.
doi: 10.1007/978-1-4612-4946-7. |
[13] |
M. S. Lehtinen, On optimization of incoherent scatter measurements, Adv. Space Res., 9 (1989), 133-141.
doi: 10.1016/0273-1177(89)90351-7. |
[14] |
M. S. Lehtinen, B. Damtie and T. Nygrén, Optimal binary phase codes and sidelobe-free decoding filters with application to incoherent scatter radar, Ann. Geophys., 22 (2004), 1623-1632.
doi: 10.5194/angeo-22-1623-2004. |
[15] |
M. S. Lehtinen, I. I. Virtanen and J. Vierinen, Fast comparison of IS radar code sequences for lag profile inversion, Ann. Geophys., 26 (2008), 2291-2301.
doi: 10.5194/angeo-26-2291-2008. |
[16] |
M. Lehtinen, B. Damtie, P. Piiroinen and M. Orispää, Perfect and almost perfect pulse compression codes for range spread radar targets, Inverse Problems and Imaging, 3 (2009), 465-486.
doi: 10.3934/ipi.2009.3.465. |
[17] |
M. S. Lehtinen and B. Damtie, Radar baud length optimisation of spatially incoherent time-independent targets, J. Atmos. Sol.-Terr. Phy., 105-106 (2013), 281-286.
doi: 10.1016/j.jastp.2012.10.010. |
[18] |
N. Levanon and E. Mozeson, Radar Signals, John Wiley & Sons, Inc. Hoboken, New Jersey, 2004.
doi: 10.1002/0471663085. |
[19] |
P. Piiroinen, Statistical measurements, experiments and applications, Ann. Acad. Sci. Fenn. Math. Diss. No., 143 (2005), 89pp. |
[20] |
J. Pirttilä, M. S. Lehtinen, A. Huuskonen and M. Markkanen, A proposed solution to the range-doppler dilemma of weather radar measurements by using the SMPRF codes, practical results, and a comparison with operational measurements, J. Appl. Meteor., 44 (2005), 1375-1390.
doi: 10.1175/JAM2288.1. |
[21] |
L. Roininen and M. S. Lehtinen, Perfect pulse-compression coding via ARMA algorithms and unimodular transfer functions, Inverse Problems and Imaging, 7 (2013), 649-661.
doi: 10.3934/ipi.2013.7.649. |
[22] |
H. H. Schaefer, Banach Lattices and Positive Operators, Die Grundlehren der mathematischen Wissenschaften, Band 215, Springer-Verlag, New York, 1974. |
[23] |
C. E. Shannon, Communication in the presence of noise, Proc. I.R.E., 37 (1949), 10-21. |
[24] |
A. N. Shiryaev and V. G. Spokoiny, Statistical Experiments and Decisions, Advanced Series on Statistical Science & Applied Probability, 8, World Scientific Publishing Co. Inc., River Edge, NJ, 2000.
doi: 10.1142/9789812779243. |
[25] |
M. I. Skolnik, Radar Handbook, $2^{nd}$ edition, McGraw-Hill Publishing Company, 1990. |
[26] |
E. Torgersen, Comparison of Statistical Experiments, Encyclopedia of Mathematics and its Applications, 36, Cambridge University Press, Cambridge, 1991.
doi: 10.1017/CBO9780511666353. |
[27] |
H. L. van Trees, Detection, Estimation and Modulation theory, part III, John Wiley and Sons, 1971. |
[28] |
J. Vierinen, On Statistical Theory of Radar Measurements, Ph.D. Dissertation, Aalto University, 2012. |
[29] |
A. C. Zaanen, Introduction to Operator Theory in Riesz Spaces, Springer-Verlag, Berlin, 1997.
doi: 10.1007/978-3-642-60637-3. |
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