Beyond Nyquist: Efficient Sampling of Sparse Bandlimited Signals
Wideband analog signals push contemporary analog-to-digital conversion (ADC) systems to their performance limits. In many applications, however, sampling at the Nyquist rate is inefficient because the signals of interest contain only a small number of significant frequencies relative to the band lim...
Gespeichert in:
| Veröffentlicht in: | IEEE transactions on information theory Jg. 56; H. 1; S. 520 - 544 |
|---|---|
| Hauptverfasser: | , , , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY
IEEE
01.01.2010
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Schlagworte: | |
| ISSN: | 0018-9448, 1557-9654 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | Wideband analog signals push contemporary analog-to-digital conversion (ADC) systems to their performance limits. In many applications, however, sampling at the Nyquist rate is inefficient because the signals of interest contain only a small number of significant frequencies relative to the band limit, although the locations of the frequencies may not be known a priori. For this type of sparse signal, other sampling strategies are possible. This paper describes a new type of data acquisition system, called a random demodulator, that is constructed from robust, readily available components. Let K denote the total number of frequencies in the signal, and let W denote its band limit in hertz. Simulations suggest that the random demodulator requires just O(K log(W/K)) samples per second to stably reconstruct the signal. This sampling rate is exponentially lower than the Nyquist rate of W hertz. In contrast to Nyquist sampling, one must use nonlinear methods, such as convex programming, to recover the signal from the samples taken by the random demodulator. This paper provides a detailed theoretical analysis of the system's performance that supports the empirical observations. |
|---|---|
| AbstractList | Wideband analog signals push contemporary analog- to-digital conversion (ADC) systems to their performance limits. In many applications, however, sampling at the Nyquist rate is inefficient because the signals of interest contain only a small number of significant frequencies relative to the band limit, although the locations of the frequencies may not be known a priori. For this type of sparse signal, other sampling strategies are possible. This paper describes a new type of data acquisition system, called a random demodulator, that is constructed from robust, readily available components. Let K denote the total number of frequencies in the signal, and let W denote its band limit in hertz. Simulations suggest that the random demodulator requires just rm O ( K log ( W / K ) ) samples per second to stably reconstruct the signal. This sampling rate is exponentially lower than the Nyquist rate of W hertz. In contrast to Nyquist sampling, one must use nonlinear methods, such as convex programming, to recover the signal from the samples taken by the random demodulator. This paper provides a detailed theoretical analysis of the system's performance that supports the empirical observations. Wideband analog signals push contemporary analog-to-digital conversion (ADC) systems to their performance limits. In many applications, however, sampling at the Nyquist rate is inefficient because the signals of interest contain only a small number of significant frequencies relative to the band limit, although the locations of the frequencies may not be known a priori. For this type of sparse signal, other sampling strategies are possible. This paper describes a new type of data acquisition system, called a random demodulator, that is constructed from robust, readily available components. Let K denote the total number of frequencies in the signal, and let W denote its band limit in hertz. Simulations suggest that the random demodulator requires just O(K log(W/K)) samples per second to stably reconstruct the signal. This sampling rate is exponentially lower than the Nyquist rate of W hertz. In contrast to Nyquist sampling, one must use nonlinear methods, such as convex programming, to recover the signal from the samples taken by the random demodulator. This paper provides a detailed theoretical analysis of the system's performance that supports the empirical observations. Wideband analog signals push contemporary analog- to-digital conversion (ADC) systems to their performance limits. In many applications, however, sampling at the Nyquist rate is inefficient because the signals of interest contain only a small number of significant frequencies relative to the band limit, although the locations of the frequencies may not be known a priori. For this type of sparse signal, other sampling strategies are possible. This paper describes a new type of data acquisition system, called a random demodulator, that is constructed from robust, readily available components. Let $K$ denote the total number of frequencies in the signal, and let $W$ denote its band limit in hertz. Simulations suggest that the random demodulator requires just $ {rm O}( K log (W / K) )$ samples per second to stably reconstruct the signal. This sampling rate is exponentially lower than the Nyquist rate of $W$ hertz. In contrast to Nyquist sampling, one must use nonlinear methods, such as convex programming, to recover the signal from the samples taken by the random demodulator. This paper provides a detailed theoretical analysis of the system's performance that supports the empirical observations. [PUBLICATION ABSTRACT] |
| Author | Duarte, M.F. Tropp, J.A. Romberg, J.K. Laska, J.N. Baraniuk, R.G. |
| Author_xml | – sequence: 1 givenname: J.A. surname: Tropp fullname: Tropp, J.A. organization: California Inst. of Technol., Pasadena, CA, USA – sequence: 2 givenname: J.N. surname: Laska fullname: Laska, J.N. organization: Rice Univ., Houston, TX, USA – sequence: 3 givenname: M.F. surname: Duarte fullname: Duarte, M.F. organization: Rice Univ., Houston, TX, USA – sequence: 4 givenname: J.K. surname: Romberg fullname: Romberg, J.K. organization: Georgia Inst. of Technol., Atlanta, GA, USA – sequence: 5 givenname: R.G. surname: Baraniuk fullname: Baraniuk, R.G. organization: Rice Univ., Houston, TX, USA |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=22493135$$DView record in Pascal Francis |
| BookMark | eNp9kb1rHDEQxUVwIGcnfSDNEghJs45GH7tSKsfGSQwmKe5Si4l2ZGT2tGdpr7j_Pjru7MKFm3nM8HsPhnfKTtKUiLH3wM8BuP26ulmdC85tHVIZgFdsAVr3re20OmELzsG0Vinzhp2Wcl9XpUEs2MUl7aY0NL93D9tY5m_NdQjRR0pzs8T1ZozprplCs9xgLtRcYhrGuI4zDc0y3iUcy1v2OlShd0c9Y39_XK-ufrW3f37eXH2_bb00em7JCN0LAQGk6XkQaDH0BtB7LzpCRbIeB0l6GLRGroA8oET0XBv7zwh5xj4fcjd5ethSmd06Fk_jiImmbXEGjJGit7KSX14koetBCC3VPvTjM_R-2ub9Ww6stop3QlXo0xHC4nEMGZOPxW1yXGPeOSGUlSB15boD5_NUSqbgfJxxjlOaM8bRAXf7plxtyu2bcsemqpE_Mz5mv2D5cLBEInrCtexAGS3_A2OQnd8 |
| CODEN | IETTAW |
| CitedBy_id | crossref_primary_10_1002_dac_3314 crossref_primary_10_1002_ange_201400535 crossref_primary_10_1049_iet_cds_2010_0147 crossref_primary_10_1016_j_acha_2017_04_004 crossref_primary_10_1109_TGRS_2020_2964701 crossref_primary_10_1109_TSP_2021_3116343 crossref_primary_10_1016_j_sigpro_2016_10_010 crossref_primary_10_1109_ACCESS_2021_3132061 crossref_primary_10_1109_TAES_2024_3469174 crossref_primary_10_1109_JETCAS_2012_2221531 crossref_primary_10_1109_LGRS_2010_2085076 crossref_primary_10_1049_iet_spr_2018_5078 crossref_primary_10_1109_TCSI_2025_3530259 crossref_primary_10_1016_j_aeue_2019_03_004 crossref_primary_10_3390_s17040816 crossref_primary_10_1049_el_2015_1292 crossref_primary_10_1109_TIFS_2018_2800726 crossref_primary_10_1002_dac_4635 crossref_primary_10_1186_s13638_016_0730_1 crossref_primary_10_1016_j_acha_2012_02_005 crossref_primary_10_1016_j_optcom_2014_11_012 crossref_primary_10_1109_MMM_2012_2234643 crossref_primary_10_1109_TSP_2018_2841867 crossref_primary_10_1088_1361_6501_abe3ab crossref_primary_10_1109_TCSI_2013_2246212 crossref_primary_10_1007_s00034_019_01101_5 crossref_primary_10_1016_j_acha_2016_02_003 crossref_primary_10_1016_j_sigpro_2017_04_013 crossref_primary_10_1049_iet_com_2015_0718 crossref_primary_10_1109_MSP_2018_2789521 crossref_primary_10_1109_LSP_2017_2773128 crossref_primary_10_1364_AO_55_001324 crossref_primary_10_1049_iet_gtd_2020_0540 crossref_primary_10_1016_j_phycom_2018_12_009 crossref_primary_10_1109_TSP_2024_3378004 crossref_primary_10_1109_ACCESS_2019_2938023 crossref_primary_10_1186_s13634_017_0508_6 crossref_primary_10_1007_s00034_016_0444_y crossref_primary_10_1109_JETCAS_2012_2223611 crossref_primary_10_1109_TIT_2013_2288639 crossref_primary_10_1016_j_optcom_2015_06_080 crossref_primary_10_1109_TIM_2024_3481553 crossref_primary_10_1002_aic_12554 crossref_primary_10_1063_1_4899204 crossref_primary_10_1109_TSP_2014_2386290 crossref_primary_10_1364_OE_567304 crossref_primary_10_1109_JETCAS_2012_2222992 crossref_primary_10_1007_s00034_012_9394_1 crossref_primary_10_1109_TVLSI_2018_2840446 crossref_primary_10_1016_j_sigpro_2020_107946 crossref_primary_10_1109_TVT_2019_2948966 crossref_primary_10_1007_s10586_018_2297_6 crossref_primary_10_1109_TCSI_2013_2246234 crossref_primary_10_1109_JSSC_2017_2695573 crossref_primary_10_1109_TVT_2017_2656940 crossref_primary_10_1109_TSP_2014_2330349 crossref_primary_10_1109_TSP_2020_3000637 crossref_primary_10_1109_LSENS_2020_2970722 crossref_primary_10_1364_OE_19_007339 crossref_primary_10_1002_dac_2483 crossref_primary_10_1109_TCSI_2017_2707481 crossref_primary_10_1049_iet_spr_2016_0496 crossref_primary_10_1109_ACCESS_2020_3038695 crossref_primary_10_1038_srep35206 crossref_primary_10_1109_ACCESS_2018_2872769 crossref_primary_10_1109_ACCESS_2019_2930236 crossref_primary_10_1109_TCSII_2017_2732453 crossref_primary_10_1109_JIOT_2018_2837891 crossref_primary_10_1007_s10470_025_02426_9 crossref_primary_10_1016_j_sigpro_2021_108260 crossref_primary_10_1109_MWC_2013_6507397 crossref_primary_10_1109_TSP_2015_2451104 crossref_primary_10_1007_s00034_025_03299_z crossref_primary_10_1109_TSP_2017_2666775 crossref_primary_10_1109_TIM_2021_3128712 crossref_primary_10_1109_JPHOT_2021_3118699 crossref_primary_10_1109_LCOMM_2012_092812_121648 crossref_primary_10_1109_ACCESS_2021_3113871 crossref_primary_10_1109_TIM_2023_3251402 crossref_primary_10_3758_s13428_023_02281_4 crossref_primary_10_1080_15732479_2025_2499936 crossref_primary_10_1016_j_image_2022_116702 crossref_primary_10_1109_JSTSP_2010_2042414 crossref_primary_10_1109_ACCESS_2022_3195040 crossref_primary_10_1016_j_sigpro_2016_11_023 crossref_primary_10_1002_dac_2686 crossref_primary_10_3390_en10060753 crossref_primary_10_1016_j_ijleo_2017_10_114 crossref_primary_10_1109_LCOMM_2017_2651062 crossref_primary_10_1007_s11432_015_0602_9 crossref_primary_10_1049_iet_spr_2013_0171 crossref_primary_10_1137_100810447 crossref_primary_10_1109_JIOT_2014_2308838 crossref_primary_10_1109_TSP_2011_2161982 crossref_primary_10_1007_s00034_014_9859_5 crossref_primary_10_1109_ACCESS_2018_2865099 crossref_primary_10_1109_TSP_2013_2259164 crossref_primary_10_1109_ACCESS_2015_2407194 crossref_primary_10_1007_s00034_023_02415_1 crossref_primary_10_1109_JETCAS_2012_2220253 crossref_primary_10_1016_j_dsp_2017_06_026 crossref_primary_10_1109_LCOMM_2014_2332493 crossref_primary_10_1016_j_dt_2021_04_003 crossref_primary_10_1002_anie_201400535 crossref_primary_10_1088_1361_6420_adec13 crossref_primary_10_1155_2014_143693 crossref_primary_10_1109_LSP_2018_2801836 crossref_primary_10_1109_TSP_2018_2827326 crossref_primary_10_1109_TSP_2014_2345350 crossref_primary_10_1109_TSP_2017_2788431 crossref_primary_10_1109_TCSI_2017_2781542 crossref_primary_10_1016_j_jmr_2016_10_016 crossref_primary_10_1016_j_epsr_2018_12_016 crossref_primary_10_1109_TSP_2014_2315168 crossref_primary_10_1109_TWC_2015_2485992 crossref_primary_10_1109_TWC_2018_2872712 crossref_primary_10_1109_TSP_2015_2461518 crossref_primary_10_1109_TSP_2015_2407315 crossref_primary_10_1109_TVLSI_2017_2765677 crossref_primary_10_1109_TVT_2019_2933857 crossref_primary_10_1137_22M1491009 crossref_primary_10_1109_TCSI_2013_2244435 crossref_primary_10_1109_JETCAS_2012_2222218 crossref_primary_10_3390_app12178635 crossref_primary_10_1109_TSP_2018_2806345 crossref_primary_10_3390_s21165282 crossref_primary_10_1109_ACCESS_2020_2981167 crossref_primary_10_1088_1742_5468_2016_08_083405 crossref_primary_10_1109_TSP_2019_2959218 crossref_primary_10_1109_JSAC_2023_3322796 crossref_primary_10_1049_iet_spr_2015_0391 crossref_primary_10_1109_TAES_2020_3000841 crossref_primary_10_1007_s00034_018_0785_9 crossref_primary_10_1109_ACCESS_2019_2904792 crossref_primary_10_1109_TAES_2019_2895710 crossref_primary_10_1109_TBCAS_2025_3532465 crossref_primary_10_1109_ACCESS_2018_2890579 crossref_primary_10_1109_TSP_2017_2695566 crossref_primary_10_1109_TIT_2019_2950715 crossref_primary_10_1109_ACCESS_2019_2961326 crossref_primary_10_1016_j_acha_2012_08_003 crossref_primary_10_1109_TNNLS_2021_3134717 crossref_primary_10_1109_TCSII_2016_2538378 crossref_primary_10_1089_space_2017_0044 crossref_primary_10_1109_MSP_2015_2486805 crossref_primary_10_1109_MSP_2018_2880837 crossref_primary_10_1364_AO_54_001894 crossref_primary_10_1109_TAES_2015_140413 crossref_primary_10_1109_TAES_2014_120523 crossref_primary_10_3390_s18093011 crossref_primary_10_1109_TCSI_2017_2766129 crossref_primary_10_1002_sdtp_16363 crossref_primary_10_1016_j_comcom_2020_11_015 crossref_primary_10_1016_j_measurement_2020_108175 crossref_primary_10_1155_2021_5511486 crossref_primary_10_1109_TNNLS_2022_3144580 crossref_primary_10_1016_j_sigpro_2019_02_004 crossref_primary_10_3934_ipi_2013_7_1295 crossref_primary_10_1007_s11277_016_3703_0 crossref_primary_10_1109_TIP_2015_2478405 crossref_primary_10_1109_TSP_2016_2639472 crossref_primary_10_1016_j_sigpro_2017_01_012 crossref_primary_10_1109_TSP_2011_2182347 crossref_primary_10_1109_TIM_2012_2203729 crossref_primary_10_1287_moor_2017_0905 crossref_primary_10_3390_s18082581 crossref_primary_10_1016_j_sigpro_2019_107435 crossref_primary_10_1016_j_ymssp_2023_110523 crossref_primary_10_1109_ACCESS_2017_2753826 crossref_primary_10_3390_s18061768 crossref_primary_10_1109_JLT_2018_2843288 crossref_primary_10_1109_JPROC_2010_2045092 crossref_primary_10_1049_iet_smt_2012_0134 crossref_primary_10_1016_j_sigpro_2014_11_017 crossref_primary_10_1109_LSP_2017_2698721 crossref_primary_10_1109_TSP_2012_2231077 crossref_primary_10_1002_dac_4675 crossref_primary_10_1016_j_optcom_2019_01_050 crossref_primary_10_1088_1361_6501_accf2c crossref_primary_10_1088_1361_6579_ab0daa crossref_primary_10_1109_LWC_2014_2354354 crossref_primary_10_1109_TWC_2012_050112_110505 crossref_primary_10_1002_cpa_21425 crossref_primary_10_1109_TSP_2011_2161472 crossref_primary_10_1109_JETCAS_2012_2214634 crossref_primary_10_1186_s13638_024_02399_9 crossref_primary_10_1109_TIM_2017_2665983 crossref_primary_10_1109_JETCAS_2012_2214874 crossref_primary_10_1016_j_sigpro_2020_107632 crossref_primary_10_1063_1_4971877 crossref_primary_10_1140_epjst_e2014_02285_8 crossref_primary_10_1109_TSP_2014_2385035 crossref_primary_10_1007_s11075_017_0356_3 crossref_primary_10_1108_COMPEL_06_2014_0138 crossref_primary_10_1109_TCCN_2018_2808528 crossref_primary_10_1364_AO_450386 crossref_primary_10_1109_TVT_2015_2408258 crossref_primary_10_1049_el_2013_1810 crossref_primary_10_1049_cmu2_12048 crossref_primary_10_1109_TVT_2017_2694706 crossref_primary_10_1109_TIT_2014_2343623 crossref_primary_10_1016_j_sigpro_2020_107746 crossref_primary_10_1016_j_sigpro_2024_109644 crossref_primary_10_1049_iet_spr_2019_0589 crossref_primary_10_1007_s00034_017_0498_5 crossref_primary_10_1109_JLT_2020_2996577 crossref_primary_10_1049_iet_com_2018_5474 crossref_primary_10_1016_j_dsp_2023_103946 crossref_primary_10_1109_JSEN_2016_2585039 crossref_primary_10_1109_JSSC_2015_2464708 crossref_primary_10_1016_j_optlaseng_2016_03_027 crossref_primary_10_1109_ACCESS_2020_3035423 crossref_primary_10_1007_s00034_021_01771_0 crossref_primary_10_1049_el_2012_3861 crossref_primary_10_1007_s00041_025_10177_4 crossref_primary_10_1109_ACCESS_2021_3053957 crossref_primary_10_1109_TVT_2018_2822776 crossref_primary_10_1016_j_ins_2015_04_027 crossref_primary_10_1109_TIM_2019_2951891 crossref_primary_10_1364_AO_51_006448 crossref_primary_10_1016_j_measurement_2022_112031 crossref_primary_10_1109_TGRS_2025_3601618 crossref_primary_10_1109_TSP_2015_2425809 crossref_primary_10_1109_TIT_2013_2243495 crossref_primary_10_1109_TWC_2017_2778088 crossref_primary_10_1109_TIT_2013_2254172 crossref_primary_10_1109_TSP_2024_3487256 crossref_primary_10_1109_ACCESS_2018_2829762 crossref_primary_10_3390_s18061839 crossref_primary_10_1109_ACCESS_2018_2886471 crossref_primary_10_1109_JETCAS_2018_2857998 crossref_primary_10_1186_s13634_022_00874_3 crossref_primary_10_1109_TIFS_2019_2953383 crossref_primary_10_1109_TWC_2022_3164800 crossref_primary_10_3390_electronics2010057 crossref_primary_10_1364_AO_472779 crossref_primary_10_1088_2515_7647_ab72de crossref_primary_10_1109_TIE_2024_3525107 crossref_primary_10_1088_1742_6596_2486_1_012087 crossref_primary_10_1016_j_measurement_2021_108995 crossref_primary_10_1109_TAES_2015_140935 crossref_primary_10_1109_TVT_2019_2915269 crossref_primary_10_1109_TSP_2015_2469648 crossref_primary_10_1364_AO_54_0000C1 crossref_primary_10_1109_JLT_2024_3392263 crossref_primary_10_1016_j_optlaseng_2024_108471 crossref_primary_10_1007_s00034_018_01022_9 crossref_primary_10_1109_TSP_2021_3067738 crossref_primary_10_1109_TSP_2016_2572041 crossref_primary_10_1016_S1005_8885_10_60097_0 crossref_primary_10_1049_iet_rsn_2015_0372 crossref_primary_10_1109_TIM_2019_2947118 crossref_primary_10_1109_TSP_2010_2057248 crossref_primary_10_1109_TIT_2012_2234823 crossref_primary_10_1109_JLT_2013_2282088 crossref_primary_10_1109_TSP_2016_2585119 crossref_primary_10_1002_cta_2445 crossref_primary_10_1109_ACCESS_2025_3606956 crossref_primary_10_1109_TUFFC_2014_006384 crossref_primary_10_1186_1687_6180_2012_31 crossref_primary_10_1109_TIT_2012_2234825 crossref_primary_10_1093_mnras_stw2261 crossref_primary_10_1109_LSP_2015_2393295 crossref_primary_10_3390_rs9030297 crossref_primary_10_1109_TCOMM_2020_3001027 crossref_primary_10_1016_j_sigpro_2020_107572 crossref_primary_10_1109_JSYST_2015_2447282 crossref_primary_10_1109_JLT_2017_2678984 crossref_primary_10_1109_ACCESS_2024_3487933 crossref_primary_10_1049_el_2012_1645 crossref_primary_10_1007_s11704_015_3326_8 crossref_primary_10_1016_j_optcom_2022_128450 crossref_primary_10_21307_ijssis_2017_753 crossref_primary_10_1016_j_acha_2011_05_001 crossref_primary_10_1016_j_optcom_2016_03_056 crossref_primary_10_1109_JPHOT_2017_2716179 crossref_primary_10_1109_TPAMI_2010_87 crossref_primary_10_1016_j_dsp_2018_04_014 crossref_primary_10_5515_KJKIEES_2025_36_5_498 crossref_primary_10_1109_TSP_2014_2343949 crossref_primary_10_1109_ACCESS_2019_2929915 crossref_primary_10_1002_adfm_202512621 crossref_primary_10_1109_TSP_2015_2512562 crossref_primary_10_1109_COMST_2016_2524443 crossref_primary_10_1109_ACCESS_2017_2778699 crossref_primary_10_1080_10556788_2022_2142583 crossref_primary_10_1109_JSEN_2015_2512846 crossref_primary_10_1049_el_2014_4223 crossref_primary_10_1007_s11277_017_4706_1 crossref_primary_10_1109_TSP_2012_2201149 crossref_primary_10_3390_s19061477 crossref_primary_10_7584_JKTAPPI_2021_10_53_5_54 crossref_primary_10_1016_j_comcom_2020_02_039 crossref_primary_10_1007_s11704_021_1275_y crossref_primary_10_1162_NECO_a_00590 crossref_primary_10_1109_TSP_2016_2597122 crossref_primary_10_1109_LSP_2014_2322444 crossref_primary_10_1186_s13634_023_01057_4 crossref_primary_10_4218_etrij_13_0112_0312 crossref_primary_10_1145_3056481 crossref_primary_10_1109_TSP_2015_2389620 crossref_primary_10_1109_TAES_2014_130475 crossref_primary_10_3390_s130809604 crossref_primary_10_1109_TIM_2014_2320393 crossref_primary_10_1364_AO_56_007869 crossref_primary_10_1007_s11432_012_4633_4 crossref_primary_10_1016_j_acha_2015_03_003 crossref_primary_10_1016_j_phycom_2011_10_007 crossref_primary_10_1109_JBHI_2014_2327194 crossref_primary_10_1109_TIM_2019_2914132 crossref_primary_10_1109_TCSII_2021_3055938 crossref_primary_10_3390_electronics11050774 crossref_primary_10_1109_TIT_2015_2394784 crossref_primary_10_1080_02564602_2019_1708818 crossref_primary_10_1109_TSP_2013_2278811 crossref_primary_10_1109_COMST_2016_2631080 crossref_primary_10_1109_TIFS_2014_2309211 crossref_primary_10_1109_TSP_2012_2194710 crossref_primary_10_1016_j_procs_2016_05_158 crossref_primary_10_1016_j_sigpro_2021_108343 crossref_primary_10_3390_electronics10131544 crossref_primary_10_1109_JSTSP_2009_2039181 crossref_primary_10_2478_msr_2019_0006 crossref_primary_10_1109_TIT_2014_2366459 crossref_primary_10_1109_TSP_2017_2755602 crossref_primary_10_1109_TW_2013_060413_121184 crossref_primary_10_3233_JIFS_169310 crossref_primary_10_1109_ACCESS_2020_3017729 crossref_primary_10_1016_j_sigpro_2017_10_003 crossref_primary_10_1109_TMC_2019_2958323 crossref_primary_10_1109_TSP_2017_2759082 crossref_primary_10_1109_JPROC_2014_2303977 crossref_primary_10_1109_LSP_2017_2698071 crossref_primary_10_1109_ACCESS_2018_2859229 crossref_primary_10_1109_JSSC_2015_2487276 crossref_primary_10_1109_TSP_2021_3095726 crossref_primary_10_1109_TCSI_2011_2143130 crossref_primary_10_1109_JSTSP_2009_2039178 crossref_primary_10_1016_j_sigpro_2022_108607 crossref_primary_10_1016_j_sigpro_2016_04_004 crossref_primary_10_1121_1_4879666 crossref_primary_10_1080_00207217_2020_1765418 crossref_primary_10_2528_PIER13061714 crossref_primary_10_1109_JSEN_2014_2353032 crossref_primary_10_1109_TGRS_2014_2383839 crossref_primary_10_1063_5_0159968 crossref_primary_10_1016_j_optcom_2018_05_044 crossref_primary_10_1109_TWC_2013_032113_120975 crossref_primary_10_1007_s10489_023_05060_y crossref_primary_10_1364_AO_522727 crossref_primary_10_1016_j_acha_2011_02_002 crossref_primary_10_1088_0266_5611_26_11_115015 crossref_primary_10_1007_s00024_022_03029_5 crossref_primary_10_1145_3365836 crossref_primary_10_1109_LSP_2018_2813321 crossref_primary_10_1109_ACCESS_2019_2935735 crossref_primary_10_1073_pnas_1913995117 crossref_primary_10_1109_TSP_2014_2329644 crossref_primary_10_1109_TSP_2015_2496294 crossref_primary_10_1109_JSTARS_2013_2263309 crossref_primary_10_1109_TSP_2018_2824257 crossref_primary_10_1109_TCSI_2017_2729779 crossref_primary_10_1002_wcm_2372 crossref_primary_10_1016_j_jnca_2019_06_005 crossref_primary_10_1080_01630563_2022_2051184 crossref_primary_10_1109_JSAC_2016_2605998 crossref_primary_10_1109_TIM_2011_2170729 crossref_primary_10_1109_TSP_2018_2869122 crossref_primary_10_1016_j_epsr_2023_109675 crossref_primary_10_1109_JMEMS_2018_2864177 crossref_primary_10_1007_s00034_017_0610_x crossref_primary_10_1109_TWC_2018_2789349 crossref_primary_10_3390_s20010319 crossref_primary_10_1007_s00034_019_01227_6 crossref_primary_10_1007_s11432_014_5240_3 crossref_primary_10_1109_TSP_2022_3141009 crossref_primary_10_3390_bioengineering11090883 crossref_primary_10_1109_ACCESS_2022_3169603 crossref_primary_10_1109_MSP_2011_942308 crossref_primary_10_1109_MMM_2019_2904378 crossref_primary_10_1007_s00041_016_9498_2 crossref_primary_10_1016_j_optcom_2018_04_018 crossref_primary_10_1186_s13634_022_00856_5 crossref_primary_10_1016_j_dsp_2023_104125 crossref_primary_10_1007_s00202_025_03314_1 crossref_primary_10_1007_s11277_014_2109_0 crossref_primary_10_1109_TSP_2011_2169408 crossref_primary_10_1109_TIT_2011_2143890 crossref_primary_10_1109_TSP_2021_3133710 crossref_primary_10_1007_s13534_018_0057_4 crossref_primary_10_1109_TSP_2021_3049618 crossref_primary_10_1016_j_jmr_2025_107898 crossref_primary_10_1109_TSP_2022_3156731 crossref_primary_10_1007_s11432_012_4603_x crossref_primary_10_1177_14759217251323201 crossref_primary_10_3390_s23125661 crossref_primary_10_1109_JSSC_2021_3071875 crossref_primary_10_1109_MSP_2018_2868137 crossref_primary_10_1631_FITEE_1900320 crossref_primary_10_1137_17M1141394 crossref_primary_10_1109_ACCESS_2018_2793851 crossref_primary_10_1016_j_ymssp_2020_107473 crossref_primary_10_1109_LSP_2013_2285444 crossref_primary_10_1109_ACCESS_2018_2885615 crossref_primary_10_1109_TAC_2012_2202051 crossref_primary_10_3103_S0735272718080010 crossref_primary_10_3390_s22218378 crossref_primary_10_1109_LSP_2018_2880566 crossref_primary_10_1109_TSP_2016_2560132 crossref_primary_10_1016_j_dsp_2023_104223 crossref_primary_10_1186_1687_6180_2012_6 crossref_primary_10_1007_s00034_017_0633_3 crossref_primary_10_1109_ACCESS_2020_3011032 crossref_primary_10_1190_geo2020_0746_1 crossref_primary_10_1080_15732479_2024_2439489 crossref_primary_10_1109_MIM_2019_8782192 crossref_primary_10_1016_j_acha_2014_08_005 crossref_primary_10_1016_j_phycom_2016_05_002 crossref_primary_10_1109_TIT_2015_2429594 crossref_primary_10_1109_ACCESS_2019_2905903 crossref_primary_10_1007_s12209_016_2746_3 crossref_primary_10_1108_COMPEL_12_2012_0392 crossref_primary_10_1109_TCSI_2021_3090441 crossref_primary_10_1109_TGRS_2012_2204891 crossref_primary_10_1109_JPHOT_2012_2195482 crossref_primary_10_1109_TVT_2019_2937649 |
| Cites_doi | 10.1109/EEEI.2008.4736707 10.1007/BF02395039 10.1137/070698920 10.1007/s00454-005-1220-0 10.1109/TSP.2009.2020750 10.1109/TSP.2009.2014277 10.1137/070703983 10.1016/j.acha.2008.07.002 10.1137/1.9781611971484 10.1109/JSTSP.2007.910281 10.1109/DCAS.2006.321048 10.1137/08072975X 10.1016/j.acha.2007.09.001 10.1109/18.720544 10.1109/JSTSP.2010.2042412 10.1109/ACSSC.2004.1399240 10.1007/s10208-008-9031-3 10.1109/TSP.2009.2012791 10.1002/cpa.20124 10.1109/MSP.2007.914998 10.1109/CISS.2006.286463 10.1007/978-3-642-20212-4 10.1109/PROC.1967.5962 10.1002/rsa.3240030308 10.1088/0266-5611/23/3/008 10.1109/ICASSP.2006.1660793 10.4064/ba53-2-10 10.1109/49.761034 10.1007/BF02772174 10.1109/MSP.2005.1550190 10.1190/1.2799517 10.1137/S1064827596304010 10.4064/sm-70-3-231-283 10.1109/ISCAS.2007.378360 10.1109/TIT.2006.885507 10.1137/0222080 10.1109/TSP.2006.890907 10.1109/18.868487 10.1007/s00365-007-9003-x 10.1109/ICASSP.2006.1660669 10.1109/TSP.2002.1003065 10.1109/MSP.2007.915000 10.1016/j.crma.2008.10.008 10.1109/TIT.2006.871582 10.1109/TIT.2005.862083 10.1109/DCAS.2006.321036 10.1007/s00041-008-9042-0 10.1109/MWSCAS.2007.4488599 10.1016/S1063-5203(03)00023-X 10.1145/509907.509933 10.1145/272991.272995 10.1090/S0894-0347-08-00610-3 10.1109/TIT.2007.909108 10.1109/ICASSP.1996.544131 10.1007/s10766-007-0034-5 10.1109/RADAR.2007.374203 |
| ContentType | Journal Article |
| Copyright | 2015 INIST-CNRS Copyright Institute of Electrical and Electronics Engineers, Inc. (IEEE) Jan 2010 |
| Copyright_xml | – notice: 2015 INIST-CNRS – notice: Copyright Institute of Electrical and Electronics Engineers, Inc. (IEEE) Jan 2010 |
| DBID | 97E RIA RIE AAYXX CITATION IQODW 7SC 7SP 8FD JQ2 L7M L~C L~D F28 FR3 |
| DOI | 10.1109/TIT.2009.2034811 |
| DatabaseName | IEEE Xplore (IEEE) IEEE All-Society Periodicals Package (ASPP) 1998–Present IEEE Electronic Library (IEL) CrossRef Pascal-Francis Computer and Information Systems Abstracts Electronics & Communications Abstracts Technology Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional ANTE: Abstracts in New Technology & Engineering Engineering Research Database |
| DatabaseTitle | CrossRef Technology Research Database Computer and Information Systems Abstracts – Academic Electronics & Communications Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional Engineering Research Database ANTE: Abstracts in New Technology & Engineering |
| DatabaseTitleList | Technology Research Database Technology Research Database Technology Research Database |
| Database_xml | – sequence: 1 dbid: RIE name: IEEE Electronic Library (IEL) url: https://ieeexplore.ieee.org/ sourceTypes: Publisher |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Computer Science Applied Sciences |
| EISSN | 1557-9654 |
| EndPage | 544 |
| ExternalDocumentID | 1935946831 22493135 10_1109_TIT_2009_2034811 5361485 |
| Genre | orig-research Feature |
| GroupedDBID | -~X .DC 0R~ 29I 3EH 4.4 5GY 5VS 6IK 97E AAJGR AARMG AASAJ AAWTH ABAZT ABFSI ABQJQ ABVLG ACGFO ACGFS ACGOD ACIWK AENEX AETEA AETIX AGQYO AGSQL AHBIQ AI. AIBXA AKJIK AKQYR ALLEH ALMA_UNASSIGNED_HOLDINGS ASUFR ATWAV BEFXN BFFAM BGNUA BKEBE BPEOZ CS3 DU5 E.L EBS EJD F5P HZ~ H~9 IAAWW IBMZZ ICLAB IDIHD IFIPE IFJZH IPLJI JAVBF LAI M43 MS~ O9- OCL P2P PQQKQ RIA RIE RNS RXW TAE TN5 VH1 VJK AAYXX CITATION IQODW RIG 7SC 7SP 8FD JQ2 L7M L~C L~D F28 FR3 |
| ID | FETCH-LOGICAL-c385t-e8257221f13870f2a9af781accc26ea4e30f2d3e5dd55a041ec1a3aac0589b823 |
| IEDL.DBID | RIE |
| ISICitedReferencesCount | 794 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000273134100038&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0018-9448 |
| IngestDate | Sun Sep 28 10:54:01 EDT 2025 Sat Sep 27 22:37:22 EDT 2025 Mon Jun 30 03:20:47 EDT 2025 Mon Jul 21 09:16:59 EDT 2025 Tue Nov 18 22:35:36 EST 2025 Sat Nov 29 03:53:08 EST 2025 Tue Aug 26 16:40:02 EDT 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Performance evaluation sampling theory Signal sampling compressive sampling AD conversion Analog signal signal recovery Band limited signal Convex programming Data acquisition system AD converter Signal restoration Analog-to-digital conversion Wide band Simulation Sampling rate Signal processing W band A priori estimation sparse approximation Sparse representation Demodulator Signal reconstruction Localization |
| Language | English |
| License | https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html CC BY 4.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c385t-e8257221f13870f2a9af781accc26ea4e30f2d3e5dd55a041ec1a3aac0589b823 |
| Notes | SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-1 ObjectType-Feature-2 content type line 23 ObjectType-Article-2 |
| PQID | 195940624 |
| PQPubID | 23500 |
| PageCount | 25 |
| ParticipantIDs | crossref_primary_10_1109_TIT_2009_2034811 proquest_miscellaneous_1671225342 crossref_citationtrail_10_1109_TIT_2009_2034811 proquest_journals_195940624 pascalfrancis_primary_22493135 proquest_miscellaneous_818832793 ieee_primary_5361485 |
| PublicationCentury | 2000 |
| PublicationDate | 2010-Jan. 2010-01-00 2010 20100101 |
| PublicationDateYYYYMMDD | 2010-01-01 |
| PublicationDate_xml | – month: 01 year: 2010 text: 2010-Jan. |
| PublicationDecade | 2010 |
| PublicationPlace | New York, NY |
| PublicationPlace_xml | – name: New York, NY – name: New York |
| PublicationTitle | IEEE transactions on information theory |
| PublicationTitleAbbrev | TIT |
| PublicationYear | 2010 |
| Publisher | IEEE Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher_xml | – name: IEEE – name: Institute of Electrical and Electronics Engineers – name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| References | ref13 ref56 ref12 ref58 ref14 ref53 ref52 ref55 ref11 ref54 ref10 ref16 ref19 ref18 haagerup (ref60) 1981; 70 ref51 ragheb (ref59) 2007 daubechies (ref15) 0 ref46 ref45 mishali (ref50) 2009 ref48 ref47 haupt (ref41) 2008 ref44 ref43 ref49 ref8 ref7 ref9 ref4 ref6 ref40 le (ref2) 2005; 22 ref35 ref34 ref37 ref36 ref31 ref30 ref33 ref32 ref39 ref38 healy (ref3) 2005 oppenheim (ref1) 1999 ref24 ref67 ref23 ref26 ref25 ref64 ref20 mallat (ref5) 1999 ref63 ref66 ref22 ref65 ref21 gilbert (ref57) 2005; 5914 becker (ref17) 2009 rauhut (ref42) 2009 ref28 ref27 ref29 ref62 ref61 |
| References_xml | – ident: ref49 doi: 10.1109/EEEI.2008.4736707 – ident: ref43 doi: 10.1007/BF02395039 – ident: ref32 doi: 10.1137/070698920 – year: 1999 ident: ref1 publication-title: Discrete-Time Signal Processing – ident: ref22 doi: 10.1007/s00454-005-1220-0 – year: 2005 ident: ref3 publication-title: Analog-to-Information – ident: ref48 doi: 10.1109/TSP.2009.2020750 – ident: ref9 doi: 10.1109/TSP.2009.2014277 – ident: ref33 doi: 10.1137/070703983 – ident: ref21 doi: 10.1016/j.acha.2008.07.002 – ident: ref14 doi: 10.1137/1.9781611971484 – ident: ref31 doi: 10.1109/JSTSP.2007.910281 – ident: ref58 doi: 10.1109/DCAS.2006.321048 – ident: ref40 doi: 10.1137/08072975X – ident: ref67 doi: 10.1016/j.acha.2007.09.001 – year: 1999 ident: ref5 publication-title: A Wavelet Tour of Signal Processing – ident: ref28 doi: 10.1109/18.720544 – year: 2009 ident: ref42 article-title: circulant and toeplitz matrices in compressed sensing publication-title: Proc SPARS'09 Signal Processing with Adaptive Sparse Structured Representations – ident: ref20 doi: 10.1109/JSTSP.2010.2042412 – ident: ref6 doi: 10.1109/ACSSC.2004.1399240 – year: 0 ident: ref15 article-title: iteratively re-weighted least squares minimization for sparse recovery publication-title: Commun Pure Appl Math – ident: ref19 doi: 10.1007/s10208-008-9031-3 – ident: ref46 doi: 10.1109/TSP.2009.2012791 – ident: ref24 doi: 10.1002/cpa.20124 – ident: ref53 doi: 10.1109/MSP.2007.914998 – ident: ref26 doi: 10.1109/CISS.2006.286463 – ident: ref61 doi: 10.1007/978-3-642-20212-4 – ident: ref4 doi: 10.1109/PROC.1967.5962 – ident: ref11 doi: 10.1002/rsa.3240030308 – ident: ref29 doi: 10.1088/0266-5611/23/3/008 – ident: ref39 doi: 10.1109/ICASSP.2006.1660793 – ident: ref63 doi: 10.4064/ba53-2-10 – volume: 5914 start-page: 5914-1 year: 2005 ident: ref57 article-title: improved time bounds for near-optimal sparse fourier representations publication-title: Proc Wavelets XI at SPIE Optics and Photonics – ident: ref12 doi: 10.1109/49.761034 – ident: ref62 doi: 10.1007/BF02772174 – volume: 22 start-page: 69 year: 2005 ident: ref2 article-title: analog-to-digital converters: a review of the past, present, and future publication-title: IEEE Signal Process Mag doi: 10.1109/MSP.2005.1550190 – ident: ref7 doi: 10.1190/1.2799517 – ident: ref13 doi: 10.1137/S1064827596304010 – volume: 70 start-page: 231 year: 1981 ident: ref60 article-title: the best constants in the khintchine inequality publication-title: Studia Math doi: 10.4064/sm-70-3-231-283 – year: 2009 ident: ref50 publication-title: From Theory to Practice Sub-Nyquist Sampling of Sparse Wideband Analog Signals – ident: ref36 doi: 10.1109/ISCAS.2007.378360 – ident: ref25 doi: 10.1109/TIT.2006.885507 – ident: ref55 doi: 10.1137/0222080 – ident: ref52 doi: 10.1109/TSP.2006.890907 – ident: ref45 doi: 10.1109/18.868487 – ident: ref23 doi: 10.1007/s00365-007-9003-x – ident: ref54 doi: 10.1109/ICASSP.2006.1660669 – ident: ref51 doi: 10.1109/TSP.2002.1003065 – year: 2008 ident: ref41 publication-title: Toeplitz Compressed Sensing Matrices with Applications to Sparse Channel Estimation – ident: ref38 doi: 10.1109/MSP.2007.915000 – ident: ref65 doi: 10.1016/j.crma.2008.10.008 – ident: ref37 doi: 10.1109/TIT.2006.871582 – ident: ref16 doi: 10.1109/TIT.2005.862083 – ident: ref35 doi: 10.1109/DCAS.2006.321036 – ident: ref66 doi: 10.1007/s00041-008-9042-0 – start-page: 325 year: 2007 ident: ref59 article-title: implementation models for analog-to-information conversion via random sampling publication-title: Proc 2007 Midwest Symp Circuits and Systems (MWSCAS) doi: 10.1109/MWSCAS.2007.4488599 – ident: ref64 doi: 10.1016/S1063-5203(03)00023-X – ident: ref56 doi: 10.1145/509907.509933 – ident: ref10 doi: 10.1145/272991.272995 – ident: ref47 doi: 10.1109/TSP.2009.2020750 – ident: ref27 doi: 10.1090/S0894-0347-08-00610-3 – ident: ref18 doi: 10.1109/TIT.2007.909108 – ident: ref30 doi: 10.1109/MSP.2005.1550190 – year: 2009 ident: ref17 publication-title: NESTA A Fast and Accurate First-Order Method for Sparse Recovery – ident: ref44 doi: 10.1109/ICASSP.1996.544131 – ident: ref34 doi: 10.1007/s10766-007-0034-5 – ident: ref8 doi: 10.1109/RADAR.2007.374203 |
| SSID | ssj0014512 |
| Score | 2.55613 |
| Snippet | Wideband analog signals push contemporary analog-to-digital conversion (ADC) systems to their performance limits. In many applications, however, sampling at... Wideband analog signals push contemporary analog- to-digital conversion (ADC) systems to their performance limits. In many applications, however, sampling at... |
| SourceID | proquest pascalfrancis crossref ieee |
| SourceType | Aggregation Database Index Database Enrichment Source Publisher |
| StartPage | 520 |
| SubjectTerms | Analog Analog-digital conversion, digital-analog conversion, pcm coding Analog-to-digital conversion Applied sciences compressive sampling Conversion Data acquisition Demodulation Demodulators Detection, estimation, filtering, equalization, prediction Exact sciences and technology Frequencies Frequency Hardware Information processing Information theory Information, signal and communications theory Mathematical programming Nonlinearity Performance analysis Programming Robustness Sampling Sampling methods Sampling techniques sampling theory Sampling, quantization Signal and communications theory Signal processing signal recovery Signal sampling Signal, noise Simulation sparse approximation Strategy Telecommunications and information theory Wideband |
| Title | Beyond Nyquist: Efficient Sampling of Sparse Bandlimited Signals |
| URI | https://ieeexplore.ieee.org/document/5361485 https://www.proquest.com/docview/195940624 https://www.proquest.com/docview/1671225342 https://www.proquest.com/docview/818832793 |
| Volume | 56 |
| WOSCitedRecordID | wos000273134100038&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVIEE databaseName: IEEE Electronic Library (IEL) customDbUrl: eissn: 1557-9654 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0014512 issn: 0018-9448 databaseCode: RIE dateStart: 19630101 isFulltext: true titleUrlDefault: https://ieeexplore.ieee.org/ providerName: IEEE |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3da9wwDBdt2cP2sG5tR9NuxYW9DJZdbMcXZ0_7oKV9OQp3g74Fx5FLoeTa3t2g__2kOBdWthX2FmIlGMmSJcv6CeB9CJxaxJBKDDYlg4dpzZlCmze1HdfkxGahazZRTCb28rK82ICPQy0MInaXz_ATP3a5_GbuV3xUNjKaYSvNJmwWxTjWag0Zg9zIiAwuSYEp5linJLNyNDufRWBKlXHZqXy0BXU9VfhGpFsQU0LsZvGHYe52m9Pt_5vnK3jZe5Xia1wGr2ED2x3YXndsEL0C78CL3-AHd-FLLF8Rk4e7FUn7szjp8CTo32Lq-KZ5eyXmQUxvKfhF8Y3xGGI5lJheXzHu8h78OD2ZfT9L-44KqdfWLFOkeLBQSgapSU-DcqULhZXOe6_G6HLU9LLRaJrGGJflEr102jnPzQdrq_Qb2GrnLe6DcDpgnalG-sLk3tvam2A9x29oigZlAqM1kyvfw41z14ubqgs7srIisXATzLLqxZLAh-GL2wi18QTtLrN9oOs5nsDRIzkO4-SolFpqIjhcC7bqlXVRMb4O-TUqT-B4GCUt49SJa3G-IpJxIcny6VwlIP5BQ64PmUeydwd_n9whPI9XD_j85i1sLe9X-A6e-Z_L68X9UbeafwHTzvHA |
| linkProvider | IEEE |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3db9QwDLfGQAIeGGyglcEIEi9IdNckzTXliQ9t2sQ4Id0h7a1KU2eahHrb7g6J_x676VVMfEi8VY1bRXbs2HH8M8CrEDi1iCGVGGxKBg_TmjOFNm9qO67Jic1C12yimEzs2Vn5ZQPeDLUwiNhdPsMDfuxy-c3cr_iobGQ0w1aaW3Db5LnKYrXWkDPIjYzY4JJUmKKOdVIyK0ezk1mEplQZF57KG5tQ11WF70S6BbElxH4Wv5nmbr852vq_mT6EB71fKd7HhfAINrDdhq11zwbRq_A23P8FgHAH3sUCFjH5cbUieb8Vhx2iBP1bTB3fNW_PxTyI6SWFvyg-MCJDLIgS04tzRl5-DF-PDmcfj9O-p0LqtTXLFCkiLJSSQWrS1KBc6UJhpfPeqzG6HDW9bDSapjHGZblEL512znP7wdoq_QQ223mLuyCcDlhnqpG-MLn3tvYmWM8RHJqiQZnAaM3kyveA49z34lvVBR5ZWZFYuA1mWfViSeD18MVlBNv4B-0Os32g6zmewP4NOQ7j5KqUWmoi2FsLturVdVExwg55NipP4OUwSnrGyRPX4nxFJONCku3TuUpA_IWGnB8ykGTxnv55ci_g7vHs82l1ejL5tAf34kUEPs15BpvL6xU-hzv--_Jicb3freyfiS_1Bw |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Beyond+Nyquist%3A+Efficient+Sampling+of+Sparse+Bandlimited+Signals&rft.jtitle=IEEE+transactions+on+information+theory&rft.au=TROPP%2C+Joel+A&rft.au=LASKA%2C+Jason+N&rft.au=DUARTE%2C+Marco+F&rft.au=ROMBERG%2C+Justin+K&rft.date=2010&rft.pub=Institute+of+Electrical+and+Electronics+Engineers&rft.issn=0018-9448&rft.volume=56&rft.issue=1&rft.spage=520&rft.epage=544&rft_id=info:doi/10.1109%2FTIT.2009.2034811&rft.externalDBID=n%2Fa&rft.externalDocID=22493135 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0018-9448&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0018-9448&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0018-9448&client=summon |