Compressive sensing of signals generated in plastic scintillators in a novel J-PET instrument

The J-PET scanner, which allows for single bed imaging of the whole human body, is currently under development at the Jagiellonian University. The dis- cussed detector offers improvement of the Time of Flight (TOF) resolution due to the use of fast plastic scintillators and dedicated electronics all...
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Autor*in:	Raczyński, L [verfasserIn] Moskal, P Kowalski, P Wiślicki, W Bednarski, T Białas, P Czerwiński, E Gajos, A Kapłon, Ł Kochanowski, A Korcyl, G Kowal, J Kozik, T Krzemień, W Kubicz, E Niedźwiecki, Sz Pałka, M Rudy, Z Rundel, O Salabura, P Sharma, N.G Silarski, M Słomski, A Smyrski, J Strzelecki, A Wieczorek, A Zieliński, M Zoń, N

Format:	Artikel
Sprache:	Englisch

Erschienen:	2015

Schlagwörter:	Instrumentation and Detectors Physics

Systematik:	UA 5680.

Übergeordnetes Werk:	Enthalten in: Nuclear instruments & methods in physics research / A - Amsterdam : North-Holland Publ. Co., 1984, 786(2015), Seite 105-112
Übergeordnetes Werk:	volume:786 ; year:2015 ; pages:105-112

Links:	Volltext Link aufrufen

DOI / URN:	10.1016/j.nima.2015.03.032

Katalog-ID:	OLC1956996516

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700	1		\|a Kochanowski, A \|4 oth
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700	1		\|a Kowal, J \|4 oth
700	1		\|a Kozik, T \|4 oth
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700	1		\|a Rudy, Z \|4 oth
700	1		\|a Rundel, O \|4 oth
700	1		\|a Salabura, P \|4 oth
700	1		\|a Sharma, N.G \|4 oth
700	1		\|a Silarski, M \|4 oth
700	1		\|a Słomski, A \|4 oth
700	1		\|a Smyrski, J \|4 oth
700	1		\|a Strzelecki, A \|4 oth
700	1		\|a Wieczorek, A \|4 oth
700	1		\|a Zieliński, M \|4 oth
700	1		\|a Zoń, N \|4 oth
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allfields	10.1016/j.nima.2015.03.032 doi PQ20160617 (DE-627)OLC1956996516 (DE-599)GBVOLC1956996516 (PRQ)a1416-5808dbaff3452e0044db6e24f691bcb4ec77162e66553b682dc9d8c084941d960 (KEY)0136675020150000786000000105compressivesensingofsignalsgeneratedinplasticscint DE-627 ger DE-627 rakwb eng 530 DNB UA 5680. AVZ rvk Raczyński, L verfasserin aut Compressive sensing of signals generated in plastic scintillators in a novel J-PET instrument 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The J-PET scanner, which allows for single bed imaging of the whole human body, is currently under development at the Jagiellonian University. The dis- cussed detector offers improvement of the Time of Flight (TOF) resolution due to the use of fast plastic scintillators and dedicated electronics allowing for sam- pling in the voltage domain of signals with durations of few nanoseconds. In this paper we show that recovery of the whole signal, based on only a few samples, is possible. In order to do that, we incorporate the training signals into the Tikhonov regularization framework and we perform the Principal Component Analysis decomposition, which is well known for its compaction properties. The method yields a simple closed form analytical solution that does not require iter- ative processing. Moreover, from the Bayes theory the properties of regularized solution, especially its covariance matrix, may be easily derived. This is the key to introduce and prove the formula for calculations of the signal recovery error. In this paper we show that an average recovery error is approximately inversely proportional to the number of acquired samples. Instrumentation and Detectors Physics Moskal, P oth Kowalski, P oth Wiślicki, W oth Bednarski, T oth Białas, P oth Czerwiński, E oth Gajos, A oth Kapłon, Ł oth Kochanowski, A oth Korcyl, G oth Kowal, J oth Kozik, T oth Krzemień, W oth Kubicz, E oth Niedźwiecki, Sz oth Pałka, M oth Rudy, Z oth Rundel, O oth Salabura, P oth Sharma, N.G oth Silarski, M oth Słomski, A oth Smyrski, J oth Strzelecki, A oth Wieczorek, A oth Zieliński, M oth Zoń, N oth Enthalten in Nuclear instruments & methods in physics research / A Amsterdam : North-Holland Publ. Co., 1984 786(2015), Seite 105-112 (DE-627)129862134 (DE-600)283627-0 (DE-576)015173461 0167-5087 nnns volume:786 year:2015 pages:105-112 http://dx.doi.org/10.1016/j.nima.2015.03.032 Volltext http://arxiv.org/abs/1503.05188 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_70 GBV_ILN_170 UA 5680. AR 786 2015 105-112
spelling	10.1016/j.nima.2015.03.032 doi PQ20160617 (DE-627)OLC1956996516 (DE-599)GBVOLC1956996516 (PRQ)a1416-5808dbaff3452e0044db6e24f691bcb4ec77162e66553b682dc9d8c084941d960 (KEY)0136675020150000786000000105compressivesensingofsignalsgeneratedinplasticscint DE-627 ger DE-627 rakwb eng 530 DNB UA 5680. AVZ rvk Raczyński, L verfasserin aut Compressive sensing of signals generated in plastic scintillators in a novel J-PET instrument 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The J-PET scanner, which allows for single bed imaging of the whole human body, is currently under development at the Jagiellonian University. The dis- cussed detector offers improvement of the Time of Flight (TOF) resolution due to the use of fast plastic scintillators and dedicated electronics allowing for sam- pling in the voltage domain of signals with durations of few nanoseconds. In this paper we show that recovery of the whole signal, based on only a few samples, is possible. In order to do that, we incorporate the training signals into the Tikhonov regularization framework and we perform the Principal Component Analysis decomposition, which is well known for its compaction properties. The method yields a simple closed form analytical solution that does not require iter- ative processing. Moreover, from the Bayes theory the properties of regularized solution, especially its covariance matrix, may be easily derived. This is the key to introduce and prove the formula for calculations of the signal recovery error. In this paper we show that an average recovery error is approximately inversely proportional to the number of acquired samples. Instrumentation and Detectors Physics Moskal, P oth Kowalski, P oth Wiślicki, W oth Bednarski, T oth Białas, P oth Czerwiński, E oth Gajos, A oth Kapłon, Ł oth Kochanowski, A oth Korcyl, G oth Kowal, J oth Kozik, T oth Krzemień, W oth Kubicz, E oth Niedźwiecki, Sz oth Pałka, M oth Rudy, Z oth Rundel, O oth Salabura, P oth Sharma, N.G oth Silarski, M oth Słomski, A oth Smyrski, J oth Strzelecki, A oth Wieczorek, A oth Zieliński, M oth Zoń, N oth Enthalten in Nuclear instruments & methods in physics research / A Amsterdam : North-Holland Publ. Co., 1984 786(2015), Seite 105-112 (DE-627)129862134 (DE-600)283627-0 (DE-576)015173461 0167-5087 nnns volume:786 year:2015 pages:105-112 http://dx.doi.org/10.1016/j.nima.2015.03.032 Volltext http://arxiv.org/abs/1503.05188 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_70 GBV_ILN_170 UA 5680. AR 786 2015 105-112
allfields_unstemmed	10.1016/j.nima.2015.03.032 doi PQ20160617 (DE-627)OLC1956996516 (DE-599)GBVOLC1956996516 (PRQ)a1416-5808dbaff3452e0044db6e24f691bcb4ec77162e66553b682dc9d8c084941d960 (KEY)0136675020150000786000000105compressivesensingofsignalsgeneratedinplasticscint DE-627 ger DE-627 rakwb eng 530 DNB UA 5680. AVZ rvk Raczyński, L verfasserin aut Compressive sensing of signals generated in plastic scintillators in a novel J-PET instrument 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The J-PET scanner, which allows for single bed imaging of the whole human body, is currently under development at the Jagiellonian University. The dis- cussed detector offers improvement of the Time of Flight (TOF) resolution due to the use of fast plastic scintillators and dedicated electronics allowing for sam- pling in the voltage domain of signals with durations of few nanoseconds. In this paper we show that recovery of the whole signal, based on only a few samples, is possible. In order to do that, we incorporate the training signals into the Tikhonov regularization framework and we perform the Principal Component Analysis decomposition, which is well known for its compaction properties. The method yields a simple closed form analytical solution that does not require iter- ative processing. Moreover, from the Bayes theory the properties of regularized solution, especially its covariance matrix, may be easily derived. This is the key to introduce and prove the formula for calculations of the signal recovery error. In this paper we show that an average recovery error is approximately inversely proportional to the number of acquired samples. Instrumentation and Detectors Physics Moskal, P oth Kowalski, P oth Wiślicki, W oth Bednarski, T oth Białas, P oth Czerwiński, E oth Gajos, A oth Kapłon, Ł oth Kochanowski, A oth Korcyl, G oth Kowal, J oth Kozik, T oth Krzemień, W oth Kubicz, E oth Niedźwiecki, Sz oth Pałka, M oth Rudy, Z oth Rundel, O oth Salabura, P oth Sharma, N.G oth Silarski, M oth Słomski, A oth Smyrski, J oth Strzelecki, A oth Wieczorek, A oth Zieliński, M oth Zoń, N oth Enthalten in Nuclear instruments & methods in physics research / A Amsterdam : North-Holland Publ. Co., 1984 786(2015), Seite 105-112 (DE-627)129862134 (DE-600)283627-0 (DE-576)015173461 0167-5087 nnns volume:786 year:2015 pages:105-112 http://dx.doi.org/10.1016/j.nima.2015.03.032 Volltext http://arxiv.org/abs/1503.05188 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_70 GBV_ILN_170 UA 5680. AR 786 2015 105-112
allfieldsGer	10.1016/j.nima.2015.03.032 doi PQ20160617 (DE-627)OLC1956996516 (DE-599)GBVOLC1956996516 (PRQ)a1416-5808dbaff3452e0044db6e24f691bcb4ec77162e66553b682dc9d8c084941d960 (KEY)0136675020150000786000000105compressivesensingofsignalsgeneratedinplasticscint DE-627 ger DE-627 rakwb eng 530 DNB UA 5680. AVZ rvk Raczyński, L verfasserin aut Compressive sensing of signals generated in plastic scintillators in a novel J-PET instrument 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The J-PET scanner, which allows for single bed imaging of the whole human body, is currently under development at the Jagiellonian University. The dis- cussed detector offers improvement of the Time of Flight (TOF) resolution due to the use of fast plastic scintillators and dedicated electronics allowing for sam- pling in the voltage domain of signals with durations of few nanoseconds. In this paper we show that recovery of the whole signal, based on only a few samples, is possible. In order to do that, we incorporate the training signals into the Tikhonov regularization framework and we perform the Principal Component Analysis decomposition, which is well known for its compaction properties. The method yields a simple closed form analytical solution that does not require iter- ative processing. Moreover, from the Bayes theory the properties of regularized solution, especially its covariance matrix, may be easily derived. This is the key to introduce and prove the formula for calculations of the signal recovery error. In this paper we show that an average recovery error is approximately inversely proportional to the number of acquired samples. Instrumentation and Detectors Physics Moskal, P oth Kowalski, P oth Wiślicki, W oth Bednarski, T oth Białas, P oth Czerwiński, E oth Gajos, A oth Kapłon, Ł oth Kochanowski, A oth Korcyl, G oth Kowal, J oth Kozik, T oth Krzemień, W oth Kubicz, E oth Niedźwiecki, Sz oth Pałka, M oth Rudy, Z oth Rundel, O oth Salabura, P oth Sharma, N.G oth Silarski, M oth Słomski, A oth Smyrski, J oth Strzelecki, A oth Wieczorek, A oth Zieliński, M oth Zoń, N oth Enthalten in Nuclear instruments & methods in physics research / A Amsterdam : North-Holland Publ. Co., 1984 786(2015), Seite 105-112 (DE-627)129862134 (DE-600)283627-0 (DE-576)015173461 0167-5087 nnns volume:786 year:2015 pages:105-112 http://dx.doi.org/10.1016/j.nima.2015.03.032 Volltext http://arxiv.org/abs/1503.05188 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_70 GBV_ILN_170 UA 5680. AR 786 2015 105-112
allfieldsSound	10.1016/j.nima.2015.03.032 doi PQ20160617 (DE-627)OLC1956996516 (DE-599)GBVOLC1956996516 (PRQ)a1416-5808dbaff3452e0044db6e24f691bcb4ec77162e66553b682dc9d8c084941d960 (KEY)0136675020150000786000000105compressivesensingofsignalsgeneratedinplasticscint DE-627 ger DE-627 rakwb eng 530 DNB UA 5680. AVZ rvk Raczyński, L verfasserin aut Compressive sensing of signals generated in plastic scintillators in a novel J-PET instrument 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The J-PET scanner, which allows for single bed imaging of the whole human body, is currently under development at the Jagiellonian University. The dis- cussed detector offers improvement of the Time of Flight (TOF) resolution due to the use of fast plastic scintillators and dedicated electronics allowing for sam- pling in the voltage domain of signals with durations of few nanoseconds. In this paper we show that recovery of the whole signal, based on only a few samples, is possible. In order to do that, we incorporate the training signals into the Tikhonov regularization framework and we perform the Principal Component Analysis decomposition, which is well known for its compaction properties. The method yields a simple closed form analytical solution that does not require iter- ative processing. Moreover, from the Bayes theory the properties of regularized solution, especially its covariance matrix, may be easily derived. This is the key to introduce and prove the formula for calculations of the signal recovery error. In this paper we show that an average recovery error is approximately inversely proportional to the number of acquired samples. Instrumentation and Detectors Physics Moskal, P oth Kowalski, P oth Wiślicki, W oth Bednarski, T oth Białas, P oth Czerwiński, E oth Gajos, A oth Kapłon, Ł oth Kochanowski, A oth Korcyl, G oth Kowal, J oth Kozik, T oth Krzemień, W oth Kubicz, E oth Niedźwiecki, Sz oth Pałka, M oth Rudy, Z oth Rundel, O oth Salabura, P oth Sharma, N.G oth Silarski, M oth Słomski, A oth Smyrski, J oth Strzelecki, A oth Wieczorek, A oth Zieliński, M oth Zoń, N oth Enthalten in Nuclear instruments & methods in physics research / A Amsterdam : North-Holland Publ. Co., 1984 786(2015), Seite 105-112 (DE-627)129862134 (DE-600)283627-0 (DE-576)015173461 0167-5087 nnns volume:786 year:2015 pages:105-112 http://dx.doi.org/10.1016/j.nima.2015.03.032 Volltext http://arxiv.org/abs/1503.05188 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_70 GBV_ILN_170 UA 5680. AR 786 2015 105-112
language	English
source	Enthalten in Nuclear instruments & methods in physics research / A 786(2015), Seite 105-112 volume:786 year:2015 pages:105-112
sourceStr	Enthalten in Nuclear instruments & methods in physics research / A 786(2015), Seite 105-112 volume:786 year:2015 pages:105-112
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topic_facet	Instrumentation and Detectors Physics
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authorswithroles_txt_mv	Raczyński, L @@aut@@ Moskal, P @@oth@@ Kowalski, P @@oth@@ Wiślicki, W @@oth@@ Bednarski, T @@oth@@ Białas, P @@oth@@ Czerwiński, E @@oth@@ Gajos, A @@oth@@ Kapłon, Ł @@oth@@ Kochanowski, A @@oth@@ Korcyl, G @@oth@@ Kowal, J @@oth@@ Kozik, T @@oth@@ Krzemień, W @@oth@@ Kubicz, E @@oth@@ Niedźwiecki, Sz @@oth@@ Pałka, M @@oth@@ Rudy, Z @@oth@@ Rundel, O @@oth@@ Salabura, P @@oth@@ Sharma, N.G @@oth@@ Silarski, M @@oth@@ Słomski, A @@oth@@ Smyrski, J @@oth@@ Strzelecki, A @@oth@@ Wieczorek, A @@oth@@ Zieliński, M @@oth@@ Zoń, N @@oth@@
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author	Raczyński, L
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topic_title	530 DNB UA 5680. AVZ rvk Compressive sensing of signals generated in plastic scintillators in a novel J-PET instrument Instrumentation and Detectors Physics
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title	Compressive sensing of signals generated in plastic scintillators in a novel J-PET instrument
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title_full	Compressive sensing of signals generated in plastic scintillators in a novel J-PET instrument
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title_sort	compressive sensing of signals generated in plastic scintillators in a novel j-pet instrument
title_auth	Compressive sensing of signals generated in plastic scintillators in a novel J-PET instrument
abstract	The J-PET scanner, which allows for single bed imaging of the whole human body, is currently under development at the Jagiellonian University. The dis- cussed detector offers improvement of the Time of Flight (TOF) resolution due to the use of fast plastic scintillators and dedicated electronics allowing for sam- pling in the voltage domain of signals with durations of few nanoseconds. In this paper we show that recovery of the whole signal, based on only a few samples, is possible. In order to do that, we incorporate the training signals into the Tikhonov regularization framework and we perform the Principal Component Analysis decomposition, which is well known for its compaction properties. The method yields a simple closed form analytical solution that does not require iter- ative processing. Moreover, from the Bayes theory the properties of regularized solution, especially its covariance matrix, may be easily derived. This is the key to introduce and prove the formula for calculations of the signal recovery error. In this paper we show that an average recovery error is approximately inversely proportional to the number of acquired samples.
abstractGer	The J-PET scanner, which allows for single bed imaging of the whole human body, is currently under development at the Jagiellonian University. The dis- cussed detector offers improvement of the Time of Flight (TOF) resolution due to the use of fast plastic scintillators and dedicated electronics allowing for sam- pling in the voltage domain of signals with durations of few nanoseconds. In this paper we show that recovery of the whole signal, based on only a few samples, is possible. In order to do that, we incorporate the training signals into the Tikhonov regularization framework and we perform the Principal Component Analysis decomposition, which is well known for its compaction properties. The method yields a simple closed form analytical solution that does not require iter- ative processing. Moreover, from the Bayes theory the properties of regularized solution, especially its covariance matrix, may be easily derived. This is the key to introduce and prove the formula for calculations of the signal recovery error. In this paper we show that an average recovery error is approximately inversely proportional to the number of acquired samples.
abstract_unstemmed	The J-PET scanner, which allows for single bed imaging of the whole human body, is currently under development at the Jagiellonian University. The dis- cussed detector offers improvement of the Time of Flight (TOF) resolution due to the use of fast plastic scintillators and dedicated electronics allowing for sam- pling in the voltage domain of signals with durations of few nanoseconds. In this paper we show that recovery of the whole signal, based on only a few samples, is possible. In order to do that, we incorporate the training signals into the Tikhonov regularization framework and we perform the Principal Component Analysis decomposition, which is well known for its compaction properties. The method yields a simple closed form analytical solution that does not require iter- ative processing. Moreover, from the Bayes theory the properties of regularized solution, especially its covariance matrix, may be easily derived. This is the key to introduce and prove the formula for calculations of the signal recovery error. In this paper we show that an average recovery error is approximately inversely proportional to the number of acquired samples.
collection_details	GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_21 GBV_ILN_70 GBV_ILN_170
title_short	Compressive sensing of signals generated in plastic scintillators in a novel J-PET instrument
url	http://dx.doi.org/10.1016/j.nima.2015.03.032 http://arxiv.org/abs/1503.05188
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author2	Moskal, P Kowalski, P Wiślicki, W Bednarski, T Białas, P Czerwiński, E Gajos, A Kapłon, Ł Kochanowski, A Korcyl, G Kowal, J Kozik, T Krzemień, W Kubicz, E Niedźwiecki, Sz Pałka, M Rudy, Z Rundel, O Salabura, P Sharma, N.G Silarski, M Słomski, A Smyrski, J Strzelecki, A Wieczorek, A Zieliński, M Zoń, N
author2Str	Moskal, P Kowalski, P Wiślicki, W Bednarski, T Białas, P Czerwiński, E Gajos, A Kapłon, Ł Kochanowski, A Korcyl, G Kowal, J Kozik, T Krzemień, W Kubicz, E Niedźwiecki, Sz Pałka, M Rudy, Z Rundel, O Salabura, P Sharma, N.G Silarski, M Słomski, A Smyrski, J Strzelecki, A Wieczorek, A Zieliński, M Zoń, N
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doi_str	10.1016/j.nima.2015.03.032
up_date	2024-07-03T22:46:38.450Z
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The dis- cussed detector offers improvement of the Time of Flight (TOF) resolution due to the use of fast plastic scintillators and dedicated electronics allowing for sam- pling in the voltage domain of signals with durations of few nanoseconds. In this paper we show that recovery of the whole signal, based on only a few samples, is possible. In order to do that, we incorporate the training signals into the Tikhonov regularization framework and we perform the Principal Component Analysis decomposition, which is well known for its compaction properties. The method yields a simple closed form analytical solution that does not require iter- ative processing. Moreover, from the Bayes theory the properties of regularized solution, especially its covariance matrix, may be easily derived. This is the key to introduce and prove the formula for calculations of the signal recovery error. 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Co., 1984</subfield><subfield code="g">786(2015), Seite 105-112</subfield><subfield code="w">(DE-627)129862134</subfield><subfield code="w">(DE-600)283627-0</subfield><subfield code="w">(DE-576)015173461</subfield><subfield code="x">0167-5087</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:786</subfield><subfield code="g">year:2015</subfield><subfield code="g">pages:105-112</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">http://dx.doi.org/10.1016/j.nima.2015.03.032</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">http://arxiv.org/abs/1503.05188</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_21</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_170</subfield></datafield><datafield tag="936" ind1="r" ind2="v"><subfield code="a">UA 5680.</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">786</subfield><subfield code="j">2015</subfield><subfield code="h">105-112</subfield></datafield></record></collection>
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Compressive sensing of signals generated in plastic scintillators in a novel J-PET instrument

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