MUMBAI, India, Aug. 10 -- Intellectual Property India has published a patent application (202411103217 A) filed by Lovely Professional University on December 26, 2024, for Method And System For Multi-Dimensional Time-Frequency Signal Analysis Using Algebraic Structures.
Inventor includes Aajaz Ahmad Teali.
The application for the patent was published on July 31, 2026, under issue no. 31/2026.
Abstract: The present invention relates to the technical field of signal processing, specifically to methods and systems for multi-dimensional time-frequency signal analysis using algebraic structures. The invention employs generalized transformations, including fractional Fourier transforms, to convert higher-dimensional signals into a transformed domain, facilitating comprehensive analysis. It integrates wavelets and wave packets for multi-resolution analysis, and utilizes the Wigner distribution to simultaneously represent signals in time and frequency domains. The method leverages quaternion algebra to process signals with multiple components, such as RGB channels in color images, and incorporates Clifford algebra to embed geometric properties into the analysis framework. This approach is adept at handling diverse data types, including images, videos, and linear-frequency-modulated signals, by capturing and processing intricate relationships and patterns within the data. The system comprises modules for each transformation and algebraic process, ensuring efficient and precise signal analysis across various applications.
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