Improved Harmonic Wavelet Packet Implementation

This custom-developed improved harmonic wavelet packet implementation program is designed for signal analysis and feature extraction applications. The harmonic wavelet packet transform represents an effective signal processing method that decomposes signals into various frequency sub-bands, enabling better understanding of signal characteristics and structural components. The implementation ensures amplitude preservation during the harmonic wavelet packet transformation process, maintaining signal integrity while performing multi-resolution analysis. This amplitude-invariant property makes the method particularly valuable for mechanical fault feature extraction, where accurate amplitude information is crucial for identifying fault signatures. Through this program, engineers can effectively analyze fault characteristics within mechanical systems and implement appropriate maintenance strategies. The algorithm employs optimized filter banks and reconstruction techniques to guarantee perfect reconstruction while preserving amplitude relationships across different frequency bands. This improved harmonic wavelet packet implementation demonstrates significant application potential across various fields including signal processing, condition monitoring, and fault diagnosis systems.