Signal Processing Applications Using Multidimensional Polynomial Splines (eBook)

Dr. Dhananjay Singh is an Associate Professor in Electronics Engineering and the Director of ReSENSE Lab at Hankuk (Korea) University of Foreign Studies (HUFS), Seoul, South Korea. He received his B. Tech. degree in Computer Science and Engineering from VBS Purvanchal University, India, and M. Tech. degree in Wireless Communication & computing from IIIT-Allahabad, India. He received his Ph.D. degree in Ubiquitous IT from Dongseo University, Busan, South Korea. Before joining the HUFS, he worked as a senior member of engineering staff with the division of Future Internet Architecture at ETRI, Korea and PostDoc research fellow with the division of fusion and convergences of mathematical sciences for the developing future internet model at National Institute of Mathematical Sciences (NIMS), Daejeon, South Korea. He was also a Research Assistant in computer science and engineering dept. at MNNIT-Allahabad, India.Prof. Madhusudan Singh (SMIEEE) is currently working as Assistant Professor at School of Technology Studies, Endicott College of International Studies in Woosong University, Daejeon, South Korea since (March 2018 ~ ). Prior, Dr. Singh has worked as Research Professor at Yonsei Institute of Convergence Technology, Yonsei University (June 2016 – Feb 2018). Dr. Singh has also served as Senior Engineer at the Research and Development department of Samsung Display, Yongin-Si, South Korea for 4+ Years.   He has received his Ph.D. degree in the Dept. of Ubiquitous IT, from Dongseo University (DSU) (Busan, South Korea). He has completed dual Master's M.Tech. (Master of Technology) in Dept. of IT with the specialization in Software Engineering from Indian Institute of Information Technology-Allahabad(IIIT-A), India and MS in the Dept. of Computer Science from Uttar Pradesh (State) Technical University(UPTU), Lucknow, India. He completed his BS degree is the Dept. of Computer Applications from Purvanchal University, India.  Currently, he is Senior Member of IEEE (SMIEEE) and member of ACM, IEEE Standard, IEEE Blockchain, and many more research and scientific organizations. He is also associated as Editor/reviewer/TPC member multiple International journals/conferences. He has published more than 50+ refereed research articles, 9+ International Patents, and delivered 15+ technical talks as speakers. His fields of research are Wireless Networks, Cyber Security, Blockchain Technology, Internet of Things, Machine Learning, Software Engineering, and Computer Vision

Preface 6
About This Book 7
Contents 8
About the Authors 10
List of Figures 13
List of Tables 15
1 Parabolic Splines based One-Dimensional Polynomial 16
1.1 The Functional Relationships Based on Parabolic Splines 16
1.2 The Theoretical Issues of Splines 17
1.3 Evaluation of Parabolic B-Splines of Multiple Levels 21
1.4 Summary 25
References 25
2 B-Spline Approximation for Polynomial Splines 27
2.1 Specialised Computing Structure for Running B-Spline Approximation 27
2.2 Summary 32
References 33
3 One-Dimensional Polynomial Splines for Cubic Splines 34
3.1 Parallel Computing Structure Based on Cubic Basic Splines 34
3.2 Summary 38
References 38
4 Multidimensional Polynomial Splines 40
4.1 Multidimensional Polynomial Splines in Modelling of Functional Relationships 40
4.2 Methods of Computation of Modelling Coefficients Using Multidimensional Splines 41
4.3 The Main Characteristics of Implementation of Tabular-Algorithmic Computation Structures of Piecewise-Polynomial Processing of Signals 43
4.3.1 Performance Assessment 43
4.3.2 Memory Capacity Assessment 44
4.4 Summary 45
References 46
5 Evaluation Methods of Spline 47
5.1 Hardware Used for Evaluation of Spline-Recovery Methods 47
5.2 Purpose and Characteristics of Signals 49
5.3 Structure of DSP with Harvard’s Architecture 50
5.4 Blackfin Family Processors 53
5.5 Summary 57
References 57
6 Requirements of MATLAB/Simulink for Signals 59
6.1 Development Tools for Modelling Special Processor Structures Based on MATLAB and Simulink 59
6.2 Summary 64
References 66
7 Geophysical Application for Splines 67
7.1 Software for Processing of Geophysical Signals 67
7.2 Generation of Electromagnetic and Acoustic Emissions 69
7.3 Splines’ Implementation of Geophysical Studies Data 72
7.4 Summary 73
References 75
8 Spline Evaluation for Railways 76
8.1 Analysis of Spline Implementation in Railway Rails 76
8.2 Stability Evaluation of Railways 79
8.3 Discussion 79
References 80