Analytical Model for GNSS Receiver Implementation Losses

Abstract

Global Navigation Satellite System (GNSS) receivers suffer signal‐to‐noise ratio (SNR) losses due to bandlimiting, quantization, and sampling. This paper presents an analytical model for GNSS receiver losses applicable to a wide variety of hardware configurations. The model addresses digitization of the received signal by a uniform quantizer with an arbitrary (even or odd) integer number of output levels. The model provides SNR loss values for GNSS signals in the presence of both additive white Gaussian noise and interference, provided that the interference can be accurately modeled as a non‐white, Gaussian wide sense stationary process.

An analytical model of code-tracking performance for next-generation GNSS modulations

“…The fourth section describes the computer simulation approach to validating the aforementioned analytical model. The SNR losses computed using method mentioned in [3] very closely matched the Monte Carlo simulation results with an average error below 0.01 dB. This level of accuracy is sufficient for the code-tracking precision degradation eval-uation.…”

“…We use 1 PRN code period R s [n] and Rrq [n] are autocorrelation function of locally generated signal and quantized received signal, respectively.b 1 is a parameter selected to minimize signal power losses for a uniform quantizer with N output levels [3].…”

“…Besides, in [2] sampling rates are constrained to Nyquist and twice Nyquist rate. In [3,4] an analytical model for evaluating receiver implementation losses is proposed in which incommensurate sampling and arbitrary number of output levels of quantizer are taken into consideration. Literature closely related to our work includes [5], in which the joint effects of front-end filtering and quantization are deeply studied but the effect of sampling is neglected.…”

“…The third section presents the analytical expression of the DLL tracking accuracy without and with BSQ. The DLL tracking loss is defined as the difference of these two parameters by using SNR losses model proposed in [3]. The fourth section describes the computer simulation approach to validating the aforementioned analytical model.…”

Baseband Hardware Designs in Modernised GNSS Receivers

“…The signal loss due to the quantisation beyond 2-bits is insignificant as long as the sampling thresholds are sensibly set (Hegarty, 2009). However, 3-bits and more have been used to alleviate the problems with the AGC in the presence of RF interference (Kaplan & Hegarty, 2006).…”