This first volume, Foundations and Core Wavelet Theory: Concepts, Mathematics, and Python
Foundations, establishes the theoretical and computational groundwork for the volumes that
follow. It introduces the fundamental principles of wavelet analysis, including core mathematical
constructs and their relationship to classical signal-processing methods. Building upon this
foundation, the volume presents essential discrete wavelet techniques—implemented using
the PyWavelets library—while maintaining a consistent emphasis on clarity, structure, and
reproducibility.
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