Teager Energy Operator Implementation with Algorithmic Insights

I have developed a Teager Energy Operator program and authored an instructive research paper detailing its implementation. The paper thoroughly explains the program's architecture, which employs discrete-time signal processing techniques through a computationally efficient algorithm that calculates instantaneous energy using the formula: Ψ[x(n)] = x²(n) - x(n-1)x(n+1). The implementation includes MATLAB/Python code examples demonstrating signal envelope detection, modulation analysis, and transient signal characterization. Key functions include real-time energy tracking, noise robustness features, and adaptive threshold mechanisms for various signal types. The paper presents practical signal processing case studies exploring the operator's advantages in temporal resolution and computational efficiency, while addressing limitations in noise sensitivity and multi-component signal analysis. I provide best practice recommendations for parameter optimization, windowing techniques, and integration with other signal processing methods. This resource serves as valuable reference material for researchers and engineers advancing in signal processing fields, particularly those working with non-stationary signal analysis and real-time energy-based feature extraction applications.