Signal Processing Applications Using Multidimensional Polynomial Splines

Description

This book highlights new methods, algorithms and software for the digital processing and recovery of signals. In addition, it describes a new method for modeling one dimensional and multidimensional signals as successions of local polynomial splines and their spectral characteristics. It provides examples of how the proposed methods can be applied in specific cases, together with signal processing software examples in the MATLAB environment, and models of special processes in the Simulink environment. The book’s goal is to make it easier for beginners to understand the subject matter; it is intended for engineers, undergraduate and graduate students engaged in research or the evaluation and design of hardware and software for the digital processing and recovery of signals. Front Matter ....Pages i-xv Parabolic Splines based One-Dimensional Polynomial (Dhananjay Singh, Madhusudan Singh, Zaynidinov Hakimjon)....Pages 1-11 B-Spline Approximation for Polynomial Splines (Dhananjay Singh, Madhusudan Singh, Zaynidinov Hakimjon)....Pages 13-19 One-Dimensional Polynomial Splines for Cubic Splines (Dhananjay Singh, Madhusudan Singh, Zaynidinov Hakimjon)....Pages 21-26 Multidimensional Polynomial Splines (Dhananjay Singh, Madhusudan Singh, Zaynidinov Hakimjon)....Pages 27-33 Evaluation Methods of Spline (Dhananjay Singh, Madhusudan Singh, Zaynidinov Hakimjon)....Pages 35-46 Requirements of MATLAB/Simulink for Signals (Dhananjay Singh, Madhusudan Singh, Zaynidinov Hakimjon)....Pages 47-54 Geophysical Application for Splines (Dhananjay Singh, Madhusudan Singh, Zaynidinov Hakimjon)....Pages 55-63 Spline Evaluation for Railways (Dhananjay Singh, Madhusudan Singh, Zaynidinov Hakimjon)....Pages 65-70