SCIENTIA SINICA Informationis, Volume 47, Issue 12: 1705-1714(2017) https://doi.org/10.1360/N112016-00151

## Accurate joint estimation of Doppler shift and SNR in mobile communications with high vehicle speed

• AcceptedNov 11, 2016
• PublishedJun 30, 2017
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### Abstract

The signal-to-noise ratio (SNR) and Doppler shift significantly affect vehicular communication. Therefore, we investigate the biases of an iterative Doppler shift estimator by addressing the approximation of the autocorrelation function (ACF), and then explicitly view the estimation errors occurring at high vehicle speeds. Accordingly, a refined process by exploiting the interpolation operation is proposed to reduce the estimation bias at high moving speeds. Subsequently, an SNR estimator is presented by utilizing the bias variation in different iterations, where the estimates of the Doppler shift in the first and final rounds of iterations are combined to construct a bias ratio, and this ratio is then employed to derive an SNR estimator. Computer simulations have shown that our proposed algorithm achieves accurate estimates for both the SNR and Doppler shift in wide ranges of working SNRs and mobile speeds, i.e., at a simulated velocity approaching 300 km/h.

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• Figure 1

Performance of the iterative ACF method in comparisonwith the conventional ones

• Figure 2

The comparison of Doppler shift estimation at SNR 0 dB

• Figure 3

The comparison of Doppler shift estimation at SNR 5 dB

• Figure 4

The comparison of Doppler shift estimation at SNR 10 dB

• Figure 5

The comparison of Doppler shift estimation at SNR 15 dB

• Figure 6

The refined Doppler shift estimation with a linear curve fitting

• Figure 7

The comparison of MSE of the five Doppler shift estimators, namely, our proposed method, the iterative (adaptive) ACF method [12], the original ACF method (M = 1) [11], the LCR method [25]and the phase difference method [13].

• Figure 8

The accuracy and the normalized MSE performance for the proposed SNR estimator in double coordinates

• Table 1   The system parameters used in simulations
 Slot length 1056 bits Channel model ITU-R M.1225 Veh.B Bit rate 3.84 Mbit/s Simulation length 1000 slots Pilot length 32 bit Path number 6 Carrier 2.11 GHz Data block length 224 bits ${\Delta~_{th}}$ 10 Hz Modulation QPSK

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