In this paper, we consider positioning with observed-time-difference-of-arrival (OTDOA) for a device deployed in long-term-evolution (LTE) based narrow-band Internet-of-things (NB-IoT) systems. We propose an iterative expectation- maximization based successive interference cancellation (EM-SIC) algorithm to jointly consider estimations of residual frequency- offset (FO), fading-channel taps and time-of- arrival (ToA) of the first arrival-path for each of the detected cells. In order to design a low complexity ToA detector and also due to the limits of low-cost analog circuits, we assume an NB-IoT device working at a low-sampling rate such as 1.92 MHz or lower. The proposed EM-SIC algorithm comprises two stages to detect ToA, based on which OTDOA can be calculated. In a first stage, after running the EM-SIC block a predefined number of iterations, a coarse ToA is estimated for each of the detected cells. Then in a second stage, to improve the ToA resolution, a low-pass filter is utilized to interpolate the correlations of time-domain PRS signal evaluated at a low sampling-rate to a high sampling-rate such as 30.72 MHz. To keep low-complexity, only the correlations inside a small search window centered at the coarse ToA estimates are upsampled. Then, the refined ToAs are estimated based on upsampled correlations. If at least three cells are detected, with OTDOA and the locations of detected cell sites, the position of the NB-IoT device can be estimated. We show through numerical simulations that, the proposed EM-SIC based ToA detector is robust against impairments introduced by inter-cell interference, fading-channel and residual FO. Thus significant signal-to-noise (SNR) gains are obtained over traditional ToA detectors that do not consider these impairments when positioning a device.
[1]
Ali A. Zaidi,et al.
Enhanced time of arrival estimation and quantization for positioning in LTE networks
,
2016,
2016 IEEE 27th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC).
[2]
Shulan Feng,et al.
RSTD Performance for Small Bandwidth of OTDOA Positioning in 3GPP LTE
,
2013,
2013 IEEE 78th Vehicular Technology Conference (VTC Fall).
[3]
Umberto Mengali,et al.
An improved frequency offset estimator for OFDM applications
,
1999,
IEEE Communications Letters.
[4]
Armin Dammann,et al.
Maximum likelihood TOA and OTDOA estimation with first arriving path detection for 3GPP LTE system
,
2016,
Trans. Emerg. Telecommun. Technol..
[5]
S. Kay.
Fundamentals of statistical signal processing: estimation theory
,
1993
.