Multi-channel sampling expansion for band-pass signals without channels constraints
The aim of the multi-channel sampling expansion (MSE) is the reconstruction of an unknown continuously defined function f t , from the samples of the responses of m linear time invariant (LTI) systems, each sampled by the 1 / m th Nyquist rate. The MSE for band-pass signals in the Fourier transform...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Wei, Deyun [verfasserIn] |
|---|
| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016transfer abstract |
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| Schlagwörter: |
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| Umfang: |
6 |
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| Übergeordnetes Werk: |
Enthalten in: Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment - Cheng, Cheng ELSEVIER, 2020, international journal for light and electron optics : official journal of the German Society of Applied Optics and the German Society of Electron Microscopy, München |
|---|---|
| Übergeordnetes Werk: |
volume:127 ; year:2016 ; number:8 ; pages:4047-4052 ; extent:6 |
| Links: |
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| DOI / URN: |
10.1016/j.ijleo.2016.01.113 |
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| 520 | |a The aim of the multi-channel sampling expansion (MSE) is the reconstruction of an unknown continuously defined function f t , from the samples of the responses of m linear time invariant (LTI) systems, each sampled by the 1 / m th Nyquist rate. The MSE for band-pass signals in the Fourier transform (FT) domain has recently been presented in the literature under some restricted conditions. To be specific, a necessary condition for perfect reconstruction of a band-pass signals is discussed which requires the number of filters/channels m in the system must be even. Focusing on this issue, first, based on a quadrature representation of the band-pass signal, we propose a new MSE. It is shown that perfect signal reconstruction is possible for any arbitrary number of channels when the upper cutoff frequency is a multiple of the bandwidth. Then, in order to show the importance of the MSE scheme, we apply the recurrent non-uniform sampling scheme to analyze high-rate waveform digitizers. The parallel architecture utilizes the interleaving/multiplexing techniques to extend the capabilities of the monolithic analog/digital (A/D) converter technology. Last, the MSE of band-pass signal is improved which can allow multiple sampling rates in the system. | ||
| 520 | |a The aim of the multi-channel sampling expansion (MSE) is the reconstruction of an unknown continuously defined function f t , from the samples of the responses of m linear time invariant (LTI) systems, each sampled by the 1 / m th Nyquist rate. The MSE for band-pass signals in the Fourier transform (FT) domain has recently been presented in the literature under some restricted conditions. To be specific, a necessary condition for perfect reconstruction of a band-pass signals is discussed which requires the number of filters/channels m in the system must be even. Focusing on this issue, first, based on a quadrature representation of the band-pass signal, we propose a new MSE. It is shown that perfect signal reconstruction is possible for any arbitrary number of channels when the upper cutoff frequency is a multiple of the bandwidth. Then, in order to show the importance of the MSE scheme, we apply the recurrent non-uniform sampling scheme to analyze high-rate waveform digitizers. The parallel architecture utilizes the interleaving/multiplexing techniques to extend the capabilities of the monolithic analog/digital (A/D) converter technology. Last, the MSE of band-pass signal is improved which can allow multiple sampling rates in the system. | ||
| 650 | 7 | |a Band-limited signal |2 Elsevier | |
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10.1016/j.ijleo.2016.01.113 doi GBVA2016023000025.pica (DE-627)ELV024967025 (ELSEVIER)S0030-4026(16)00162-5 DE-627 ger DE-627 rakwb eng 620 620 DE-600 333.7 VZ 43.00 bkl Wei, Deyun verfasserin aut Multi-channel sampling expansion for band-pass signals without channels constraints 2016transfer abstract 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The aim of the multi-channel sampling expansion (MSE) is the reconstruction of an unknown continuously defined function f t , from the samples of the responses of m linear time invariant (LTI) systems, each sampled by the 1 / m th Nyquist rate. The MSE for band-pass signals in the Fourier transform (FT) domain has recently been presented in the literature under some restricted conditions. To be specific, a necessary condition for perfect reconstruction of a band-pass signals is discussed which requires the number of filters/channels m in the system must be even. Focusing on this issue, first, based on a quadrature representation of the band-pass signal, we propose a new MSE. It is shown that perfect signal reconstruction is possible for any arbitrary number of channels when the upper cutoff frequency is a multiple of the bandwidth. Then, in order to show the importance of the MSE scheme, we apply the recurrent non-uniform sampling scheme to analyze high-rate waveform digitizers. The parallel architecture utilizes the interleaving/multiplexing techniques to extend the capabilities of the monolithic analog/digital (A/D) converter technology. Last, the MSE of band-pass signal is improved which can allow multiple sampling rates in the system. The aim of the multi-channel sampling expansion (MSE) is the reconstruction of an unknown continuously defined function f t , from the samples of the responses of m linear time invariant (LTI) systems, each sampled by the 1 / m th Nyquist rate. The MSE for band-pass signals in the Fourier transform (FT) domain has recently been presented in the literature under some restricted conditions. To be specific, a necessary condition for perfect reconstruction of a band-pass signals is discussed which requires the number of filters/channels m in the system must be even. Focusing on this issue, first, based on a quadrature representation of the band-pass signal, we propose a new MSE. It is shown that perfect signal reconstruction is possible for any arbitrary number of channels when the upper cutoff frequency is a multiple of the bandwidth. Then, in order to show the importance of the MSE scheme, we apply the recurrent non-uniform sampling scheme to analyze high-rate waveform digitizers. The parallel architecture utilizes the interleaving/multiplexing techniques to extend the capabilities of the monolithic analog/digital (A/D) converter technology. Last, the MSE of band-pass signal is improved which can allow multiple sampling rates in the system. Band-limited signal Elsevier A/D converter Elsevier Recurrent non-uniform sampling Elsevier Band-pass signal Elsevier Multi-channel sampling expansion Elsevier Enthalten in Elsevier Cheng, Cheng ELSEVIER Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment 2020 international journal for light and electron optics : official journal of the German Society of Applied Optics and the German Society of Electron Microscopy München (DE-627)ELV004102533 volume:127 year:2016 number:8 pages:4047-4052 extent:6 https://doi.org/10.1016/j.ijleo.2016.01.113 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.00 Umweltforschung Umweltschutz: Allgemeines VZ AR 127 2016 8 4047-4052 6 045F 620 |
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10.1016/j.ijleo.2016.01.113 doi GBVA2016023000025.pica (DE-627)ELV024967025 (ELSEVIER)S0030-4026(16)00162-5 DE-627 ger DE-627 rakwb eng 620 620 DE-600 333.7 VZ 43.00 bkl Wei, Deyun verfasserin aut Multi-channel sampling expansion for band-pass signals without channels constraints 2016transfer abstract 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The aim of the multi-channel sampling expansion (MSE) is the reconstruction of an unknown continuously defined function f t , from the samples of the responses of m linear time invariant (LTI) systems, each sampled by the 1 / m th Nyquist rate. The MSE for band-pass signals in the Fourier transform (FT) domain has recently been presented in the literature under some restricted conditions. To be specific, a necessary condition for perfect reconstruction of a band-pass signals is discussed which requires the number of filters/channels m in the system must be even. Focusing on this issue, first, based on a quadrature representation of the band-pass signal, we propose a new MSE. It is shown that perfect signal reconstruction is possible for any arbitrary number of channels when the upper cutoff frequency is a multiple of the bandwidth. Then, in order to show the importance of the MSE scheme, we apply the recurrent non-uniform sampling scheme to analyze high-rate waveform digitizers. The parallel architecture utilizes the interleaving/multiplexing techniques to extend the capabilities of the monolithic analog/digital (A/D) converter technology. Last, the MSE of band-pass signal is improved which can allow multiple sampling rates in the system. The aim of the multi-channel sampling expansion (MSE) is the reconstruction of an unknown continuously defined function f t , from the samples of the responses of m linear time invariant (LTI) systems, each sampled by the 1 / m th Nyquist rate. The MSE for band-pass signals in the Fourier transform (FT) domain has recently been presented in the literature under some restricted conditions. To be specific, a necessary condition for perfect reconstruction of a band-pass signals is discussed which requires the number of filters/channels m in the system must be even. Focusing on this issue, first, based on a quadrature representation of the band-pass signal, we propose a new MSE. It is shown that perfect signal reconstruction is possible for any arbitrary number of channels when the upper cutoff frequency is a multiple of the bandwidth. Then, in order to show the importance of the MSE scheme, we apply the recurrent non-uniform sampling scheme to analyze high-rate waveform digitizers. The parallel architecture utilizes the interleaving/multiplexing techniques to extend the capabilities of the monolithic analog/digital (A/D) converter technology. Last, the MSE of band-pass signal is improved which can allow multiple sampling rates in the system. Band-limited signal Elsevier A/D converter Elsevier Recurrent non-uniform sampling Elsevier Band-pass signal Elsevier Multi-channel sampling expansion Elsevier Enthalten in Elsevier Cheng, Cheng ELSEVIER Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment 2020 international journal for light and electron optics : official journal of the German Society of Applied Optics and the German Society of Electron Microscopy München (DE-627)ELV004102533 volume:127 year:2016 number:8 pages:4047-4052 extent:6 https://doi.org/10.1016/j.ijleo.2016.01.113 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.00 Umweltforschung Umweltschutz: Allgemeines VZ AR 127 2016 8 4047-4052 6 045F 620 |
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10.1016/j.ijleo.2016.01.113 doi GBVA2016023000025.pica (DE-627)ELV024967025 (ELSEVIER)S0030-4026(16)00162-5 DE-627 ger DE-627 rakwb eng 620 620 DE-600 333.7 VZ 43.00 bkl Wei, Deyun verfasserin aut Multi-channel sampling expansion for band-pass signals without channels constraints 2016transfer abstract 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The aim of the multi-channel sampling expansion (MSE) is the reconstruction of an unknown continuously defined function f t , from the samples of the responses of m linear time invariant (LTI) systems, each sampled by the 1 / m th Nyquist rate. The MSE for band-pass signals in the Fourier transform (FT) domain has recently been presented in the literature under some restricted conditions. To be specific, a necessary condition for perfect reconstruction of a band-pass signals is discussed which requires the number of filters/channels m in the system must be even. Focusing on this issue, first, based on a quadrature representation of the band-pass signal, we propose a new MSE. It is shown that perfect signal reconstruction is possible for any arbitrary number of channels when the upper cutoff frequency is a multiple of the bandwidth. Then, in order to show the importance of the MSE scheme, we apply the recurrent non-uniform sampling scheme to analyze high-rate waveform digitizers. The parallel architecture utilizes the interleaving/multiplexing techniques to extend the capabilities of the monolithic analog/digital (A/D) converter technology. Last, the MSE of band-pass signal is improved which can allow multiple sampling rates in the system. The aim of the multi-channel sampling expansion (MSE) is the reconstruction of an unknown continuously defined function f t , from the samples of the responses of m linear time invariant (LTI) systems, each sampled by the 1 / m th Nyquist rate. The MSE for band-pass signals in the Fourier transform (FT) domain has recently been presented in the literature under some restricted conditions. To be specific, a necessary condition for perfect reconstruction of a band-pass signals is discussed which requires the number of filters/channels m in the system must be even. Focusing on this issue, first, based on a quadrature representation of the band-pass signal, we propose a new MSE. It is shown that perfect signal reconstruction is possible for any arbitrary number of channels when the upper cutoff frequency is a multiple of the bandwidth. Then, in order to show the importance of the MSE scheme, we apply the recurrent non-uniform sampling scheme to analyze high-rate waveform digitizers. The parallel architecture utilizes the interleaving/multiplexing techniques to extend the capabilities of the monolithic analog/digital (A/D) converter technology. Last, the MSE of band-pass signal is improved which can allow multiple sampling rates in the system. Band-limited signal Elsevier A/D converter Elsevier Recurrent non-uniform sampling Elsevier Band-pass signal Elsevier Multi-channel sampling expansion Elsevier Enthalten in Elsevier Cheng, Cheng ELSEVIER Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment 2020 international journal for light and electron optics : official journal of the German Society of Applied Optics and the German Society of Electron Microscopy München (DE-627)ELV004102533 volume:127 year:2016 number:8 pages:4047-4052 extent:6 https://doi.org/10.1016/j.ijleo.2016.01.113 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.00 Umweltforschung Umweltschutz: Allgemeines VZ AR 127 2016 8 4047-4052 6 045F 620 |
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10.1016/j.ijleo.2016.01.113 doi GBVA2016023000025.pica (DE-627)ELV024967025 (ELSEVIER)S0030-4026(16)00162-5 DE-627 ger DE-627 rakwb eng 620 620 DE-600 333.7 VZ 43.00 bkl Wei, Deyun verfasserin aut Multi-channel sampling expansion for band-pass signals without channels constraints 2016transfer abstract 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The aim of the multi-channel sampling expansion (MSE) is the reconstruction of an unknown continuously defined function f t , from the samples of the responses of m linear time invariant (LTI) systems, each sampled by the 1 / m th Nyquist rate. The MSE for band-pass signals in the Fourier transform (FT) domain has recently been presented in the literature under some restricted conditions. To be specific, a necessary condition for perfect reconstruction of a band-pass signals is discussed which requires the number of filters/channels m in the system must be even. Focusing on this issue, first, based on a quadrature representation of the band-pass signal, we propose a new MSE. It is shown that perfect signal reconstruction is possible for any arbitrary number of channels when the upper cutoff frequency is a multiple of the bandwidth. Then, in order to show the importance of the MSE scheme, we apply the recurrent non-uniform sampling scheme to analyze high-rate waveform digitizers. The parallel architecture utilizes the interleaving/multiplexing techniques to extend the capabilities of the monolithic analog/digital (A/D) converter technology. Last, the MSE of band-pass signal is improved which can allow multiple sampling rates in the system. The aim of the multi-channel sampling expansion (MSE) is the reconstruction of an unknown continuously defined function f t , from the samples of the responses of m linear time invariant (LTI) systems, each sampled by the 1 / m th Nyquist rate. The MSE for band-pass signals in the Fourier transform (FT) domain has recently been presented in the literature under some restricted conditions. To be specific, a necessary condition for perfect reconstruction of a band-pass signals is discussed which requires the number of filters/channels m in the system must be even. Focusing on this issue, first, based on a quadrature representation of the band-pass signal, we propose a new MSE. It is shown that perfect signal reconstruction is possible for any arbitrary number of channels when the upper cutoff frequency is a multiple of the bandwidth. Then, in order to show the importance of the MSE scheme, we apply the recurrent non-uniform sampling scheme to analyze high-rate waveform digitizers. The parallel architecture utilizes the interleaving/multiplexing techniques to extend the capabilities of the monolithic analog/digital (A/D) converter technology. Last, the MSE of band-pass signal is improved which can allow multiple sampling rates in the system. Band-limited signal Elsevier A/D converter Elsevier Recurrent non-uniform sampling Elsevier Band-pass signal Elsevier Multi-channel sampling expansion Elsevier Enthalten in Elsevier Cheng, Cheng ELSEVIER Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment 2020 international journal for light and electron optics : official journal of the German Society of Applied Optics and the German Society of Electron Microscopy München (DE-627)ELV004102533 volume:127 year:2016 number:8 pages:4047-4052 extent:6 https://doi.org/10.1016/j.ijleo.2016.01.113 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.00 Umweltforschung Umweltschutz: Allgemeines VZ AR 127 2016 8 4047-4052 6 045F 620 |
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10.1016/j.ijleo.2016.01.113 doi GBVA2016023000025.pica (DE-627)ELV024967025 (ELSEVIER)S0030-4026(16)00162-5 DE-627 ger DE-627 rakwb eng 620 620 DE-600 333.7 VZ 43.00 bkl Wei, Deyun verfasserin aut Multi-channel sampling expansion for band-pass signals without channels constraints 2016transfer abstract 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The aim of the multi-channel sampling expansion (MSE) is the reconstruction of an unknown continuously defined function f t , from the samples of the responses of m linear time invariant (LTI) systems, each sampled by the 1 / m th Nyquist rate. The MSE for band-pass signals in the Fourier transform (FT) domain has recently been presented in the literature under some restricted conditions. To be specific, a necessary condition for perfect reconstruction of a band-pass signals is discussed which requires the number of filters/channels m in the system must be even. Focusing on this issue, first, based on a quadrature representation of the band-pass signal, we propose a new MSE. It is shown that perfect signal reconstruction is possible for any arbitrary number of channels when the upper cutoff frequency is a multiple of the bandwidth. Then, in order to show the importance of the MSE scheme, we apply the recurrent non-uniform sampling scheme to analyze high-rate waveform digitizers. The parallel architecture utilizes the interleaving/multiplexing techniques to extend the capabilities of the monolithic analog/digital (A/D) converter technology. Last, the MSE of band-pass signal is improved which can allow multiple sampling rates in the system. The aim of the multi-channel sampling expansion (MSE) is the reconstruction of an unknown continuously defined function f t , from the samples of the responses of m linear time invariant (LTI) systems, each sampled by the 1 / m th Nyquist rate. The MSE for band-pass signals in the Fourier transform (FT) domain has recently been presented in the literature under some restricted conditions. To be specific, a necessary condition for perfect reconstruction of a band-pass signals is discussed which requires the number of filters/channels m in the system must be even. Focusing on this issue, first, based on a quadrature representation of the band-pass signal, we propose a new MSE. It is shown that perfect signal reconstruction is possible for any arbitrary number of channels when the upper cutoff frequency is a multiple of the bandwidth. Then, in order to show the importance of the MSE scheme, we apply the recurrent non-uniform sampling scheme to analyze high-rate waveform digitizers. The parallel architecture utilizes the interleaving/multiplexing techniques to extend the capabilities of the monolithic analog/digital (A/D) converter technology. Last, the MSE of band-pass signal is improved which can allow multiple sampling rates in the system. Band-limited signal Elsevier A/D converter Elsevier Recurrent non-uniform sampling Elsevier Band-pass signal Elsevier Multi-channel sampling expansion Elsevier Enthalten in Elsevier Cheng, Cheng ELSEVIER Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment 2020 international journal for light and electron optics : official journal of the German Society of Applied Optics and the German Society of Electron Microscopy München (DE-627)ELV004102533 volume:127 year:2016 number:8 pages:4047-4052 extent:6 https://doi.org/10.1016/j.ijleo.2016.01.113 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.00 Umweltforschung Umweltschutz: Allgemeines VZ AR 127 2016 8 4047-4052 6 045F 620 |
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Multi-channel sampling expansion for band-pass signals without channels constraints |
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The aim of the multi-channel sampling expansion (MSE) is the reconstruction of an unknown continuously defined function f t , from the samples of the responses of m linear time invariant (LTI) systems, each sampled by the 1 / m th Nyquist rate. The MSE for band-pass signals in the Fourier transform (FT) domain has recently been presented in the literature under some restricted conditions. To be specific, a necessary condition for perfect reconstruction of a band-pass signals is discussed which requires the number of filters/channels m in the system must be even. Focusing on this issue, first, based on a quadrature representation of the band-pass signal, we propose a new MSE. It is shown that perfect signal reconstruction is possible for any arbitrary number of channels when the upper cutoff frequency is a multiple of the bandwidth. Then, in order to show the importance of the MSE scheme, we apply the recurrent non-uniform sampling scheme to analyze high-rate waveform digitizers. The parallel architecture utilizes the interleaving/multiplexing techniques to extend the capabilities of the monolithic analog/digital (A/D) converter technology. Last, the MSE of band-pass signal is improved which can allow multiple sampling rates in the system. |
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The aim of the multi-channel sampling expansion (MSE) is the reconstruction of an unknown continuously defined function f t , from the samples of the responses of m linear time invariant (LTI) systems, each sampled by the 1 / m th Nyquist rate. The MSE for band-pass signals in the Fourier transform (FT) domain has recently been presented in the literature under some restricted conditions. To be specific, a necessary condition for perfect reconstruction of a band-pass signals is discussed which requires the number of filters/channels m in the system must be even. Focusing on this issue, first, based on a quadrature representation of the band-pass signal, we propose a new MSE. It is shown that perfect signal reconstruction is possible for any arbitrary number of channels when the upper cutoff frequency is a multiple of the bandwidth. Then, in order to show the importance of the MSE scheme, we apply the recurrent non-uniform sampling scheme to analyze high-rate waveform digitizers. The parallel architecture utilizes the interleaving/multiplexing techniques to extend the capabilities of the monolithic analog/digital (A/D) converter technology. Last, the MSE of band-pass signal is improved which can allow multiple sampling rates in the system. |
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The aim of the multi-channel sampling expansion (MSE) is the reconstruction of an unknown continuously defined function f t , from the samples of the responses of m linear time invariant (LTI) systems, each sampled by the 1 / m th Nyquist rate. The MSE for band-pass signals in the Fourier transform (FT) domain has recently been presented in the literature under some restricted conditions. To be specific, a necessary condition for perfect reconstruction of a band-pass signals is discussed which requires the number of filters/channels m in the system must be even. Focusing on this issue, first, based on a quadrature representation of the band-pass signal, we propose a new MSE. It is shown that perfect signal reconstruction is possible for any arbitrary number of channels when the upper cutoff frequency is a multiple of the bandwidth. Then, in order to show the importance of the MSE scheme, we apply the recurrent non-uniform sampling scheme to analyze high-rate waveform digitizers. The parallel architecture utilizes the interleaving/multiplexing techniques to extend the capabilities of the monolithic analog/digital (A/D) converter technology. Last, the MSE of band-pass signal is improved which can allow multiple sampling rates in the system. |
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