Abstract: |
This study introduces a new digital signal processing method that holistically plots digital signal vectors collected from multiple channels on an angular graphic axis and aims to obtain a holistic signal matrix in the specified angular range using a vector interpolation technique. The proposed method, Semani, enables the visualization, improvement, and analysis of signal parameters based on phase angles and independent variables using an angular coordinate axis. In the Semani method, multi-channel signals are visualized on a single graph by plotting them on a coordinate axis encompassing all angular directions. This approach divides the angular coordinate axis into sections based on its resolution level of angles (segments) and the rate of change of independent variables (layers) within the analysis window. A graphic pattern (polar, cartesian, cylinder, sphere, etc.) determined on the angular axis is divided into slices according to segments and layers, and the signal is plotted in these sections. The proposed signal plotting and analysis model enables holistic modeling of multi-channel signals collected from different angular directions on a coordinate axis. Additionally, the vector interpolation method used in this model calculates signal vectors for unknown angular directions, enriching the signal. This innovative method allows signals collected from multiple channels, such as EEG, ECG, radar, sonar, and seismic signals, to be effectively visualized on a single graph against their corresponding independent variables (e.g., time, frequency, distance). |