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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), (1953), 273. Google Scholar |
[2] |
D. Blackwell, Comparison of experiments,, in Proc. Second Berkeley Symposium on Math. Stat. Probab., (1950), 93.
|
[3] |
B. Damtie, M. Lehtinen, M. Orispää and J. Vierinen, Mismatched filtering of aperiodic quadriphase codes,, IEEE Trans. Inform. Theory, 54 (2008), 1742.
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.
doi: 10.5194/angeo-27-797-2009. |
[5] |
M. J. E. Golay, Complementary series,, IRE Trans., IT-7 (1961), 82.
|
[6] |
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products,, $7^{th}$ edition, (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.
doi: 10.1016/0021-9169(95)00048-8. |
[8] |
K. E. Iverson, A Programming Language,, New York: Wiley, (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.
doi: 10.1002/j.1538-7305.1960.tb03942.x. |
[10] |
D. Knuth, Two notes on notation,, Amer. Math. Monthly, 99 (1992), 403.
doi: 10.2307/2325085. |
[11] |
L. Le Cam, Sufficiency and approximate sufficiency,, Ann. Math. Statist., 35 (1964), 1419.
doi: 10.1214/aoms/1177700372. |
[12] |
L. Le Cam, Asymptotic Methods in Statistical Decision Theory,, Springer Series in Statistics, (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.
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.
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.
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.
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), 105.
doi: 10.1016/j.jastp.2012.10.010. |
[18] |
N. Levanon and E. Mozeson, Radar Signals,, John Wiley & Sons, (2004).
doi: 10.1002/0471663085. |
[19] |
P. Piiroinen, Statistical measurements, experiments and applications,, Ann. Acad. Sci. Fenn. Math. Diss. No., 143 (2005).
|
[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.
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.
doi: 10.3934/ipi.2013.7.649. |
[22] |
H. H. Schaefer, Banach Lattices and Positive Operators,, Die Grundlehren der mathematischen Wissenschaften, (1974).
|
[23] |
C. E. Shannon, Communication in the presence of noise,, Proc. I.R.E., 37 (1949), 10.
|
[24] |
A. N. Shiryaev and V. G. Spokoiny, Statistical Experiments and Decisions,, Advanced Series on Statistical Science & Applied Probability, (2000).
doi: 10.1142/9789812779243. |
[25] |
M. I. Skolnik, Radar Handbook,, $2^{nd}$ edition, (1990). Google Scholar |
[26] |
E. Torgersen, Comparison of Statistical Experiments,, Encyclopedia of Mathematics and its Applications, (1991).
doi: 10.1017/CBO9780511666353. |
[27] |
H. L. van Trees, Detection, Estimation and Modulation theory, part III,, John Wiley and Sons, (1971). Google Scholar |
[28] |
J. Vierinen, On Statistical Theory of Radar Measurements,, Ph.D. Dissertation, (2012). Google Scholar |
[29] |
A. C. Zaanen, Introduction to Operator Theory in Riesz Spaces,, Springer-Verlag, (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), (1953), 273. Google Scholar |
[2] |
D. Blackwell, Comparison of experiments,, in Proc. Second Berkeley Symposium on Math. Stat. Probab., (1950), 93.
|
[3] |
B. Damtie, M. Lehtinen, M. Orispää and J. Vierinen, Mismatched filtering of aperiodic quadriphase codes,, IEEE Trans. Inform. Theory, 54 (2008), 1742.
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.
doi: 10.5194/angeo-27-797-2009. |
[5] |
M. J. E. Golay, Complementary series,, IRE Trans., IT-7 (1961), 82.
|
[6] |
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products,, $7^{th}$ edition, (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.
doi: 10.1016/0021-9169(95)00048-8. |
[8] |
K. E. Iverson, A Programming Language,, New York: Wiley, (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.
doi: 10.1002/j.1538-7305.1960.tb03942.x. |
[10] |
D. Knuth, Two notes on notation,, Amer. Math. Monthly, 99 (1992), 403.
doi: 10.2307/2325085. |
[11] |
L. Le Cam, Sufficiency and approximate sufficiency,, Ann. Math. Statist., 35 (1964), 1419.
doi: 10.1214/aoms/1177700372. |
[12] |
L. Le Cam, Asymptotic Methods in Statistical Decision Theory,, Springer Series in Statistics, (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.
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.
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.
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.
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), 105.
doi: 10.1016/j.jastp.2012.10.010. |
[18] |
N. Levanon and E. Mozeson, Radar Signals,, John Wiley & Sons, (2004).
doi: 10.1002/0471663085. |
[19] |
P. Piiroinen, Statistical measurements, experiments and applications,, Ann. Acad. Sci. Fenn. Math. Diss. No., 143 (2005).
|
[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.
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.
doi: 10.3934/ipi.2013.7.649. |
[22] |
H. H. Schaefer, Banach Lattices and Positive Operators,, Die Grundlehren der mathematischen Wissenschaften, (1974).
|
[23] |
C. E. Shannon, Communication in the presence of noise,, Proc. I.R.E., 37 (1949), 10.
|
[24] |
A. N. Shiryaev and V. G. Spokoiny, Statistical Experiments and Decisions,, Advanced Series on Statistical Science & Applied Probability, (2000).
doi: 10.1142/9789812779243. |
[25] |
M. I. Skolnik, Radar Handbook,, $2^{nd}$ edition, (1990). Google Scholar |
[26] |
E. Torgersen, Comparison of Statistical Experiments,, Encyclopedia of Mathematics and its Applications, (1991).
doi: 10.1017/CBO9780511666353. |
[27] |
H. L. van Trees, Detection, Estimation and Modulation theory, part III,, John Wiley and Sons, (1971). Google Scholar |
[28] |
J. Vierinen, On Statistical Theory of Radar Measurements,, Ph.D. Dissertation, (2012). Google Scholar |
[29] |
A. C. Zaanen, Introduction to Operator Theory in Riesz Spaces,, Springer-Verlag, (1997).
doi: 10.1007/978-3-642-60637-3. |
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