References: Advanced Transforms

1. Laplace transform - Wikipedia - Covers bilateral and unilateral transforms, regions of convergence, inverse methods, system functions, differential equations, poles, and zeros.

2. Z-transform - Wikipedia - Explains discrete-time transforms, convergence regions, inverse techniques, transfer functions, stability, and relationships to Fourier analysis.

3. Wavelet transform - Wikipedia - Introduces continuous and discrete wavelets, multiresolution analysis, time-frequency localization, filter banks, and representative applications.

4. A Wavelet Tour of Signal Processing: The Sparse Way (3rd Edition) - Stéphane Mallat - Academic Press - Mallat’s multiresolution “zoom” interpretation unified wavelet bases, filter banks, sparse approximation, and practical signal applications.

5. Signals and Systems (2nd Edition) - Alan V. Oppenheim, Alan S. Willsky, and S. Hamid Nawab - Prentice Hall - Oppenheim’s parallel development of Laplace and Z transforms highlights shared pole-zero geometry and convergence ideas.

6. A Wavelet Tour of Signal Processing - Stéphane Mallat - Companion figures, code, numerical experiments, and exercises support wavelets, time-frequency transforms, sparsity, denoising, and compression.

7. Discrete Wavelet Transform - PyWavelets - Documents single-level, multilevel, partial, and multidimensional DWT operations with coefficient sizing and boundary modes.

8. Mathematical Definition of the STFT - CCRMA Stanford - Defines the STFT, hop size, windowing, and constant-overlap-add conditions needed for accurate reconstruction.

9. Signals and Systems Lecture Notes - MIT OpenCourseWare - Includes focused lectures on Z transforms, Laplace transforms, poles, frequency response, and system analysis.

10. SciPy Short-Time Fourier Transform - SciPy - Provides a modern computational STFT interface for spectrograms, inversion, window selection, overlap, and time-frequency experiments.