Ziv-Zakai Bound and Multicorrelator Compression for a Galileo E1 Meta-Signal

Schwalm, Carolin; Enneking, Christoph; Thoelert, Steffen

doi:10.23919/enc48637.2020.9317389

Cited by 7 publications

(8 citation statements)

References 4 publications

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“…is the square of the so-called Gabor bandwidth (GB). In the equation, the dependency on the signal-to-noise ratio (SNR) η = C N0 T is highlighted [38], [44] where T is the observation time and C N0 is the carrier-to-noise-density ratio (C/N 0 ). The GB in (2) depends on the spectrum X(f ), which is the Fourier transform of the baseband noiseless observed signal x(t) [43], [44].…”

Section: A Meta-signal Rationalementioning

confidence: 99%

See 1 more Smart Citation

Flexible Metasignal Tracking: Architecture Robustness in Challenging PNT Scenarios

Nardin,

Dovis,

Zanier

et al. 2024

IEEE Trans. Aerosp. Electron. Syst.

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The idea of multichannel tracking is generally found in the Global Navigation Satellite System (GNSS) literature with a wideband approach. We further developed the concept to separately process two narrowband channels that are later combined in a dedicated delay-locked loop (DLL) in a virtual wideband fashion. To suit prospect evolution of positioning, navigation, and timing (PNT) technologies and GNSSs, we generalized the so-called meta-signal construction to the combination of components transmitted over the same bandwidth, thus expanding the range of candidate multichannel components and fostering efficient bandwidth exploitation and increased resiliency to harsh Doppler. These improvements are sustained by additional complexity at the receiver, whose robustness must be carefully assessed. The resulting architecture performance in presence of multipath and tracking noise is therefore characterized under the challenging conditions of modern GNSSs, focusing on a low earth orbit (LEO) PNT scenario. The technique can successfully bear the representative Doppler profiles and C/N 0 levels of the addressed scenarios achieving a large estimation noise reduction, even under challenging multipath conditions.

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Section: A Meta-signal Rationalementioning

confidence: 99%

“…Meta-signals however, as well as split-spectrum modulations, are generally characterized by a multi-peaked autocorrelation function (ACF) [38]. A characteristic that might lead to false locking and biased measurements, especially when multipath is present.…”

Section: Introductionmentioning

confidence: 99%

Flexible Metasignal Tracking: Architecture Robustness in Challenging PNT Scenarios

Nardin,

Dovis,

Zanier

et al. 2024

IEEE Trans. Aerosp. Electron. Syst.

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show abstract

“…While the potential of meta-signal processing has been demonstrated, for example, through the analysis of the Cramer-Rao lower bound (CRLB; Das et al, 2020;Ortega et al, 2020), meta-signals have a multi-peaked correlation function and a tracking loop can lock on a secondary peak, leading to biased measurements (Nardin et al, 2020;Schwalm et al, 2020). The number of secondary correlation peaks increases with the frequency separation of the sideband components and false locks can significantly degrade meta-signal processing performance (Schwalm et al, 2020). Moreover, filtering and other non-idealities can worsen the ambiguity problem that should be addressed with dedicated algorithms (Nardin et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

Reconstructing GNSS Meta-Signal Observations Using Sideband Measurements

Borio

Gioia

2023

navi

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Global navigation satellite systems (GNSSs) provide several signals on different frequencies: Two or more components can be processed jointly as a meta-signal. Despite significant effort devoted to developing effective techniques for meta-signal processing, limited research has been conducted to characterize meta-signal measurements. In this work, the observations obtained by processing a GNSS meta-signal are characterized and fundamental relationships between GNSS meta-signal and dual-frequency measurement combinations are derived.We show that subcarrier phase observations can be estimated as the wide-lane linear combination of the carrier phases obtained from the two original sideband components. Moreover, meta-signal code measurements can be reconstructed from the pseudoranges and carrier phases of the original components. Thus, meta-signal pseudoranges are mixed code and carrier observations. The experimental results confirm the validity of the theoretical formulas that can be used to reconstruct meta-signal measurements from dual-frequency observations.

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“…While, in principle, a large frequency separation leads to a large Gabor bandwidth, the same frequency separation is the cause of multi-peaked correlation functions, which, in turn, can lead to ambiguous meta-signal pseudorange measurements. This is one of the main limitations of GNSS meta-signals [ 7 , 8 , 9 ]. The occurrence of a multi-peak correlation function and ambiguous measurements is directly linked to the fact that meta-signal pseudoranges are mixed code and carrier observations [ 10 , 11 ].…”

Section: Introductionmentioning

confidence: 99%

“…This also implies a reduction of the computational load for the processing of a full meta-signal. All these methods alleviate the ambiguity problem, which can still occur for excessively large frequency separations and in the presence of biases and non-idealities [ 7 , 8 , 9 ]. For this reason, it is important to investigate the limitations occurring when considering specific side-band combinations.…”

Section: Introductionmentioning

confidence: 99%

Synthetic Meta-Signal Observations: The Beidou Case

Borio,

Gioia

2023

Sensors

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A Global Navigation Satellite System (GNSS) meta-signal is obtained when two or more side-band components from different frequencies are jointly processed as a single entity. This requires advanced signal processing techniques able to cope with the subcarrier, generated by the interaction of the side-band components, and handle possibly multi-peaked ambiguous correlation functions. An alternative approach to meta-signal processing is to reconstruct meta-signal observations using side-band measurements. Meta-signal high-accuracy pseudoranges can be reconstructed from the side-band code and carrier observations. The success of the reconstruction depends on several factors, including the frequency separation of the side-band components and the presence of measurement biases. The Beidou Navigation Satellite System (BDS), with its second- and third-generation signals, provides a wide range of components with various frequency separations. In this paper, we experimentally investigate the performance and limitations of the measurement reconstruction approach using Beidou observations. When the B1I and B1C components are considered, their reduced frequency separation leads to unambiguous measurements fully exploiting the potential of meta-signals. For larger frequency separations, jumps and discontinuities are observed in the position domain, which is a major limiting factor of this type of approach.

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Ziv-Zakai Bound and Multicorrelator Compression for a Galileo E1 Meta-Signal

Cited by 7 publications

References 4 publications

Flexible Metasignal Tracking: Architecture Robustness in Challenging PNT Scenarios

Flexible Metasignal Tracking: Architecture Robustness in Challenging PNT Scenarios

Reconstructing GNSS Meta-Signal Observations Using Sideband Measurements

Synthetic Meta-Signal Observations: The Beidou Case

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