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In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
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Basic continuous-time signals include the unit step function, unit impulse function, and unit ramp function, collectively referred to as singularity functions. Singularity functions are characterized by discontinuities or discontinuous derivatives.
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The unit step sequence is defined as 1 for zero and positive values of the integer n. This sequence can be graphically displayed using a set of eight sample points, showing a step function starting from n=0 and remaining constant thereafter.
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Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
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An Optimized Vector Tracking Architecture for Pseudo-Random Pulsing CDMA Signals.

Lin Tao1, Guangchen Li1, Junren Sun1

  • 1School of Electronics Engineering and Computer Science, Peking University, Beijing 100871, China.

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|July 2, 2021
PubMed
Summary

This study introduces an optimized vector tracking loop (VTL) for pseudolite positioning systems (PLPS). The new VTL architecture enhances tracking accuracy for weak signals in challenging pseudo-random pulsing CDMA environments.

Keywords:
irregular update periodspredicted mesurementpseudo-random pulsing signalvector tracking loop

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Area of Science:

  • Satellite Navigation Systems
  • Signal Processing
  • Geomatics Engineering

Background:

  • Traditional vector tracking loops (VTL) excel in Global Navigation Satellite Systems (GNSS) but are incompatible with pseudolite positioning systems (PLPS).
  • PLPS utilize pseudo-random pulsing CDMA signals to mitigate the near-far effect, posing challenges for conventional VTLs.
  • Existing VTL architectures struggle with the discontinuous and non-overlapping signal structures inherent in PLPS.

Purpose of the Study:

  • To propose an optimized VTL architecture specifically designed for pseudo-random pulsing CDMA signals used in PLPS.
  • To address the limitations of traditional VTLs in handling the unique signal characteristics of PLPS.
  • To improve tracking accuracy and mitigate estimation biases in PLPS environments.

Main Methods:

  • Development of an optimized VTL architecture incorporating irregular update periods (IUP) pre-filters.
  • Implementation of a measurement prediction mechanism to synchronize sampling times from inconsistent pseudolite signals.
  • Adjustment of update cycles based on active timeslot intervals to minimize estimation biases.

Main Results:

  • The proposed VTL architecture demonstrates superior performance compared to traditional pre-filter-based VTLs.
  • The optimized VTL significantly outperforms existing IUP pre-filter-based VTLs in PLPS simulations.
  • Enhanced tracking accuracy and reduced jitter degradation were observed with the proposed VTL.

Conclusions:

  • The novel VTL architecture is highly effective for pseudo-random pulsing CDMA signals in PLPS.
  • The proposed method offers a robust solution for improving positioning accuracy in systems relying on pseudolites.
  • This advancement addresses critical compatibility issues between VTL technology and PLPS signal structures.