Abstract

In Global Navigation Satellite System (GNSS) receivers, residual frequency estimation methods are traditionally applied in the synchronization block to reduce the transient time from acquisition to tracking, or they are used within the frequency estimator to improve its accuracy in open-loop architectures. There are several disadvantages in the current estimation methods, including sensitivity to noise and wide search space size. This paper proposes a new residual frequency estimation method depending on differential processing. Although the complexity of the proposed method is higher than the one of traditional methods, it can lead to more accurate estimates, without increasing the size of the search space.

Highlights

  • In Global Navigation Satellite System (GNSS) receivers, the synchronization block is one of the most important elements

  • A Delay Lock Loop (DLL) is used to refine the code delays, whereas the frequencies can be refined by a Frequency Lock Loop (FLL) and/or a Phase Lock Loop (PLL)

  • While the Modified Generalized Differential Combination (MGDC) method cannot improve the performance of estimation in comparison with Conventional Differential Combination (CDC), the new MGDC reaches this goal with the best mean error and standard deviation

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Summary

Introduction

In Global Navigation Satellite System (GNSS) receivers, the synchronization block is one of the most important elements. The first one is based on the wrapped phase algorithm while the second tries to detect and correct the error of the estimation of Kay’s method These methods can provide good results only in high signal-to-noise ratio conditions. Another approach that depends on the different phase of both consecutive and non-consecutive correlation values, can be found in [2,14,15]. On the contrary, when the residual frequency exceeds a threshold, which depends on the maximum distance between non-consecutive values in a combination, the estimate that these methods can provide is worse than the one in [16] To effectively use these methods, the frequency search space must be adequately large.

Signal Model
Frequency Estimation Methods
Classical Kay’s Method
Conventional Differential Combination Method
Modified Generalized Differential Combination Method
Wrapped Phase Problem
Proposed Method
Theoretical Analysis
Performance Analysis
The Accuracy of Estimations
The Computation Complexity
Method
Findings
Conclusions

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