Signal Processing in X-ray Pulsar-Based Navigation

✍ Scribed by Hua Zhang, Luping Xu, Jingrong Sun, Bo Yan

• Publisher: Springer
• Year: 2023
• Tongue: English
• Leaves: 251
• Category: Library

✦ Synopsis

This book highlights key technologies of signal processing in pulsar-based navigation. It discusses the modeling, simulation, acquisition, and correction of relativistic effects of signals from X-ray pulsars. It demonstrates the methods of contour reconstruction and denoising, and introduces the concept and methods of the average contour. The performance of the phase measurement methods using signal contour is analyzed. The role of wavelets and bispectral methods in the denoising of pulsar signals is discussed. The measurements of pulsar signals’ arriving time are looked into from the perspective of time series. The book is intended for researchers and engineers interested in pulsar-based navigation. It is also a good reference source for senior undergraduates and postgraduate students majoring in navigation and signal processing.

✦ Table of Contents

Preface
Brief Introduction
Contents
1 Introduction
1.1 Pulsar and Its Observation
1.1.1 Introduction to Pulsar
1.1.2 Radio Observation Technology
1.1.3 Space X-ray Detection Technology
1.2 Principles of Pulsar Navigation
1.3 Research Progress at Home and Abroad
1.3.1 Development of Pulsar Navigation Technology
1.3.2 X-ray Pulsar Navigation Research Plan
1.3.3 Domestic Research Foundation
1.4 Signal Processing Technology in Pulsar Navigation
1.5 Summary
2 Pulsar Data Acquisition and Relativistic Effect Correction
2.1 Pulsar Observation
2.2 Introduction of RXTE
2.2.1 Proportional Counter Array (PCA)
2.2.2 The High Energy X-ray Timing Experiment (HEXTE)
2.2.3 All Sky Monitor (ASM)
2.3 Extraction of RXTE Measured Data
2.3.1 Software Method to Extract Data
2.3.2 The Embedded Code Method Extracts the Original Data
2.4 The Analysis of RXTE Measured Data
2.4.1 The Effect of Light Travel Correction on Cumulative Profile
2.4.2 The Influence of Phase Prediction Model on Cumulative Profile
2.5 Summary
3 Characteristics and Model of Pulsar Signal
3.1 Introduction
3.2 Characteristics of Pulsar Signal
3.2.1 Periodic
3.2.2 Profile
3.2.3 Energy Spectrum
3.2.4 Noise
3.3 Pulsar Signal Simulation Modeling
3.3.1 Basic Principles
3.3.2 Poisson Model
3.3.3 Exponential Model
3.3.4 Gussian Model
3.4 Comparison of Models
3.4.1 Poisson Distribution Model
3.4.2 Exponential Distribution Model
3.4.3 Gaussian Fitting Model
3.4.4 Comparison of Three Models
3.5 Summary
4 Validation of X-ray Pulsar Simulation Signals
4.1 Introduction
4.2 Consistency Analysis of Simulated and Measured Signals
4.2.1 Simulation Signal Generation
4.2.2 Consistency Analysis of Profiles
4.2.3 Consistency Analysis in the Time Domain
4.2.4 Consistency Analysis in the Frequency Domain
4.3 Validation of X-ray Pulsar Simulation Signal Validation Under Orbital Modulation
4.3.1 Generation of Orbital Modulation Signals
4.3.2 Time Conversion Equation
4.3.3 Validation of the Validity of the Orbital Modulated Signal
4.4 Summary
5 Pulse Average Profile Accumulation Method and Phase Measurement Performance
5.1 Introduction
5.2 The Basic Concept of Profile Accumulation
5.3 Minimum Entropy Method for X-ray Pulsar Pulse Profile Accumulation
5.3.1 Minimum Entropy Criterion for Pulsar Profile Accumulation
5.3.2 Minimum Entropy Method for Pulsar Profile Accumulation and Its Proof
5.3.3 Determining Pulsar Period Using Minimum Entropy of Cumulative Profile
5.4 Performance Analysis of X-ray Pulsar Cumulative Profile Phase Measurement
5.4.1 CRLB for Phase Measurement
5.4.2 CRLB for Phase Rate Measurement
5.5 Experiment of Minimum Entropy Method for Pulse Profile Accumulation
5.5.1 Preparing Simulation Data
5.5.2 Entropy Analysis of the Cumulative Profile of X-ray Pulsars
5.5.3 Performance Analysis of Pulsar Period Determined by Minimum Entropy of Cumulative Profile
5.5.4 RXTE Measured Data Experiment
5.6 Performance Analysis Experiments of Cumulative Profile Phase Measurement
5.7 Summary
6 Pulsar Signal Denoising
6.1 Introduction
6.2 Common Denoising Methods
6.2.1 Classical Filter Denoising Method
6.2.2 Wavelet Transform Denoising Method
6.2.3 Dual-Spectral Domain Denoising Method
6.2.4 Evaluation of Denoising Effect
6.3 Wavelet-Based Denoising Method
6.3.1 A General Method of Wavelet Domain Denoising
6.3.2 A Method Based on Wavelet Threshold Denoising
6.3.3 Improved Wavelet Airspace Correlation Filtering Algorithm
6.3.4 Pulsar Signal Denoising Based on Wavelet Domain Derivable Threshold Function and Adaptive Threshold
6.4 Denoising Method Based on Bispectral Domain
6.4.1 Signal Reconstruction Based on Bispectrum
6.4.2 Bispectral Domain Denoising Method Based on α—Trimmed Filter
6.4.3 Signal Bispectral Domain Denoising Based on Non-local Means Algorithm
6.4.4 Comparison of Experimental Results Between Two Signal Bispectral Domain Denoising Methods
6.5 Other Methods
6.5.1 Discrete Square Wave Transformation (DSWT)
6.5.2 Based on the Idea of Singular Value Decomposition
6.6 Summary
7 Pulsar Signal Detection
7.1 Introduction
7.2 Time Domain Pulsar Signal Detection Method
7.2.1 Periodogram Method
7.2.2 Bayesian Estimation Method
7.2.3 Photon Arrival Time Interval Method
7.3 Frequency Domain Pulsar Signal Detection and Its Improvement Method
7.3.1 FFT Method
7.3.2 Bispectrum Method
7.3.3 1(1/2)-Dimension Spectrum Method
7.4 Time Frequency Domain Pulsar Signal Detection
7.4.1 Constant False Alarm Rate Detection Method Based on S-transform
7.4.2 Constant False Alarm Rate Detection Method Based on Time-Frequency Entropy
7.5 Summary
8 Measurement of Arrival Time of Pulsar Signals
8.1 Introduction
8.2 Maximum Likelihood-Based Arrival Time Measurement Method
8.2.1 Poisson Model of X-ray Pulsar Signals
8.2.2 Fitting X-ray Pulsar Profiles with Multiple Gaussians
8.2.3 Phase Estimation Based on the GFSAP Model
8.3 Contour-Based Arrival Time Measurement Method
8.3.1 Classical Method of Arrival Time Measurement Based on Profile
8.3.2 Measurement of Time Delay in Pulse Contour of Third Order Cross Wavelet Cumulants
8.3.3 Cumulative Contour Phase Measurement Based on Minimum Entropy
8.4 Arrival Time Measurement Method Based on Photon Sequence
8.4.1 Phase Measurement Based on Photon Counting
8.4.2 Phase Measurement Based on Photon Arrival Time
8.4.3 Phase Measurement Based on Photon Arrival Time Interval
8.4.4 Phase Measurement of Photon Sequences Using Fast Fourier Transform
8.5 Summary
Bibliography