Spectral Mapping and Tracking Error of MBOC signal and Wavelet based GNSS receiver

Notice

This is an unedited manuscript accepted for publication and provided as an Article in Press for early access at the author’s request. The article will undergo copyediting, typesetting, and galley proof review before final publication. Please be aware that errors may be identified during production that could affect the content. All legal disclaimers of the journal apply.

Year : 2026 | Volume : 17 | 01 | Page :
    By

    Shubham Kumar Singh,

  • Soumyo Nath Tripathy,

  • Rintu Kumar Gayen,

  • Debashish Chakravarty,

  • Tamesh Halder,

  1. Student, Department of Electronics and Communication Engineering, Institute of Engineering & Management, Kolkata, West Bengal, india
  2. Student, Department of Electronics and Communication Engineering, Institute of Engineering & Management, Kolkata, West Bengal, India
  3. Assistant Professor, Department of Electronics and Communication Engineering, Institute of Engineering & Management, Kolkata, West Bengal, India
  4. Professor, Department of Electronics and Communication Engineering, Institute of Engineering & Management, Kolkata, West Bengal, India
  5. Professor, Department of Electronics and Communication Engineering, Institute of Engineering & Management, Kolkata, West Bengal, India

Abstract

This research paper delves into the historical evolution and contemporary state of the art in navigation technologies, emphasizing the paramount importance of reliable positioning systems. Tracing the journey from ancient primitive methods to the present-day Global Navigation Satellite Systems (GNSS), with a focus on the Global Positioning System (GPS), the paper explores the diverse instruments and methods developed by civilizations throughout history to determine location and navigate effectively. The main objective of modern navigation technologies, particularly GPS and GNSS, is to provide users with accurate position, velocity, and time (PVT) information. The paper explains the trilateration principle used to calculate PVT parameters and explores the role of the Doppler shift in determining user relative velocity. The frequency plan and signal structure, including the use of L band frequencies and modulation schemes, are detailed for GPS, GLONASS, and GALILEO systems. The paper introduces the Multiplexed Binary Offset Carrier (MBOC) modulation scheme as a potential solution for second-generation radio navigation systems, addressing issues of robustness, interference, and improved tracking performance. The article also explores the properties of wavelets, focusing on the trade-off between time and frequency resolution. Affine wavelets, constructed through translation and dilation of a single function, offer flexibility in tiling the time-frequency plane, enabling diverse applications. The wavelet function is defined, and a reconstruction method is presented, emphasizing the importance of the admissible condition for the wavelet function. A discrete version of the wavelet is introduced, involving parameters that determine resolution in time and frequency. Multi-resolution analysis (MRA) for finite energy signals is presented, emphasizing nested subspaces and orthonormal bases. The decomposition of L2(R) into subspaces and the introduction of orthogonal complement spaces facilitate a comprehensive understanding of wavelet theory without any sparse based learning approach.

Keywords: Global Navigation Satellite Systems (GNSS), Global Positioning System (GPS), Position, Velocity and Time (PVT), Trilateration, Doppler shift, Multiplexed Binary Offset Carrier (MBOC), Frequency plan, Signal structure, Wavelet, Acquisition and Tracking.

How to cite this article:
Shubham Kumar Singh, Soumyo Nath Tripathy, Rintu Kumar Gayen, Debashish Chakravarty, Tamesh Halder. Spectral Mapping and Tracking Error of MBOC signal and Wavelet based GNSS receiver. Current Trends in Signal Processing. 2026; 17(01):-.
How to cite this URL:
Shubham Kumar Singh, Soumyo Nath Tripathy, Rintu Kumar Gayen, Debashish Chakravarty, Tamesh Halder. Spectral Mapping and Tracking Error of MBOC signal and Wavelet based GNSS receiver. Current Trends in Signal Processing. 2026; 17(01):-. Available from: https://journals.stmjournals.com/ctsp/article=2026/view=241199


References

  1.  Evans AG, Swift ER, Cunningham JP, Hill RW, Blewitt G, Yunck TP, Lichten SM, Hatch R, Malys S, Bossler J. The global positioning system geodesy odyssey. Navigation. 2002 Mar;49(1):7- 33.
  2. Kaplan ED, Hegarty C, editors. Understanding GPS/GNSS: principles and applications. Artech house; 2017 May 31.
  3. Dutton L, Rumens D, Forrest W, Ruiz L. Galileo’s services. InProceedings of the 15th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 2002) 2002 Sep 27 (pp. 249-257).
  4. Samama N. Global positioning: Technologies and performance. John Wiley & Sons; 2008 Mar 31.
  5. Bastide F, Julien O, Macabiau C, Roturier B. Analysis of L5/E5 acquisition, tracking and data demodulation thresholds. InProceedings of the 15th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 2002) 2002 Sep 27 (pp. 2196-2207).
  6. Betz JW, Goldstein DB. Candidate designs for an additional civil signal in GPS spectral bands. InProceedings of the 2002 national technical meeting of the institute of navigation 2002 Jan 30 (pp. 622-631).
  7. Hein GW, Avila-Rodriguez JA, Wallner S, Pratt AR, Owen J, Issler JL, Betz JW, Hegarty CJ, Lenahan S, Rushanan JJ, Kraay AL. MBOC: the new optimized spreading modulation recommended for GALILEO L1 OS and GPS L1C. InProceedings of IEEE/ION PLANS 2006 2006 Apr 27 (pp. 883-892).
  8. Xu F. A complexity reduced frequency domain receiver for Galileo and GPS L1 signals. InProceedings of the 22nd International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2009) 2009 Sep 25 (pp. 3198-3208).
  9. Mallat S. A wavelet tour of signal processing. Elsevier; 1999 Sep 14.
  10. Chang CL, Shou HN, Juang JC. Wavelet-based method for signal acquisition in GNSS receivers. InProceedings of SICE Annual Conference 2010 2010 Aug 18 (pp. 1261-1264). IEEE.
  11. Lei N, Zhu H, Cui J. Wavelet-based method for weak satellite signal acquisition. InProceedings 2011 International Conference on Transportation, Mechanical, and Electrical Engineering (TMEE) 2011 Dec 16 (pp. 2487-2490). IEEE.
Ahead of Print Subscription Review Article
Volume 17
01
Received 17/03/2026
Accepted 19/03/2026
Published 28/04/2026
Publication Time 42 Days
47

Login


My IP

PlumX Metrics