Cramer-Rao bounds in the estimation of time of arrival in fading channels
Abstract This paper computes the Cramer-Rao bounds for the time of arrival estimation in a multipath Rice and Rayleigh fading scenario, conditioned to the previous estimation of a set of propagation channels, since these channel estimates (correlation between received signal and the pilot sequence)...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-03-01
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| Series: | EURASIP Journal on Advances in Signal Processing |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13634-018-0540-1 |
| _version_ | 1829117231621996544 |
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| author | René Játiva Josep Vidal |
| author_facet | René Játiva Josep Vidal |
| author_sort | René Játiva |
| collection | DOAJ |
| description | Abstract This paper computes the Cramer-Rao bounds for the time of arrival estimation in a multipath Rice and Rayleigh fading scenario, conditioned to the previous estimation of a set of propagation channels, since these channel estimates (correlation between received signal and the pilot sequence) are sufficient statistics in the estimation of delays. Furthermore, channel estimation is a constitutive block in receivers, so we can take advantage of this information to improve timing estimation by using time and space diversity. The received signal is modeled as coming from a scattering environment that disperses the signal both in space and time. Spatial scattering is modeled with a Gaussian distribution and temporal dispersion as an exponential random variable. The impact of the sampling rate, the roll-off factor, the spatial and temporal correlation among channel estimates, the number of channel estimates, and the use of multiple sensors in the antenna at the receiver is studied and related to the mobile subscriber positioning issue. To our knowledge, this model is the only one of its kind as a result of the relationship between the space-time diversity and the accuracy of the timing estimation. |
| first_indexed | 2024-12-12T20:22:25Z |
| format | Article |
| id | doaj.art-126b756fec43495198b473f082a8f3dd |
| institution | Directory Open Access Journal |
| issn | 1687-6180 |
| language | English |
| last_indexed | 2024-12-12T20:22:25Z |
| publishDate | 2018-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | EURASIP Journal on Advances in Signal Processing |
| spelling | doaj.art-126b756fec43495198b473f082a8f3dd2022-12-22T00:13:13ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61802018-03-012018112010.1186/s13634-018-0540-1Cramer-Rao bounds in the estimation of time of arrival in fading channelsRené Játiva0Josep Vidal1Universidad San Francisco de QuitoUniversitat Politècnica de Catalunya, Campus NordAbstract This paper computes the Cramer-Rao bounds for the time of arrival estimation in a multipath Rice and Rayleigh fading scenario, conditioned to the previous estimation of a set of propagation channels, since these channel estimates (correlation between received signal and the pilot sequence) are sufficient statistics in the estimation of delays. Furthermore, channel estimation is a constitutive block in receivers, so we can take advantage of this information to improve timing estimation by using time and space diversity. The received signal is modeled as coming from a scattering environment that disperses the signal both in space and time. Spatial scattering is modeled with a Gaussian distribution and temporal dispersion as an exponential random variable. The impact of the sampling rate, the roll-off factor, the spatial and temporal correlation among channel estimates, the number of channel estimates, and the use of multiple sensors in the antenna at the receiver is studied and related to the mobile subscriber positioning issue. To our knowledge, this model is the only one of its kind as a result of the relationship between the space-time diversity and the accuracy of the timing estimation.http://link.springer.com/article/10.1186/s13634-018-0540-1Cramer-Rao boundsCRBTime of arrivalTOAMobile subscriber location |
| spellingShingle | René Játiva Josep Vidal Cramer-Rao bounds in the estimation of time of arrival in fading channels EURASIP Journal on Advances in Signal Processing Cramer-Rao bounds CRB Time of arrival TOA Mobile subscriber location |
| title | Cramer-Rao bounds in the estimation of time of arrival in fading channels |
| title_full | Cramer-Rao bounds in the estimation of time of arrival in fading channels |
| title_fullStr | Cramer-Rao bounds in the estimation of time of arrival in fading channels |
| title_full_unstemmed | Cramer-Rao bounds in the estimation of time of arrival in fading channels |
| title_short | Cramer-Rao bounds in the estimation of time of arrival in fading channels |
| title_sort | cramer rao bounds in the estimation of time of arrival in fading channels |
| topic | Cramer-Rao bounds CRB Time of arrival TOA Mobile subscriber location |
| url | http://link.springer.com/article/10.1186/s13634-018-0540-1 |
| work_keys_str_mv | AT renejativa cramerraoboundsintheestimationoftimeofarrivalinfadingchannels AT josepvidal cramerraoboundsintheestimationoftimeofarrivalinfadingchannels |