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In the crisp dawn of March 2025, as the XB-1 streaked through -56°C skies at Mach 1.18, a signal-processing revolution took flight. Applied Wavelets and Filter Banks: XB-1 Sonic Boom was born from that sonic boom an odyssey to harness wavelets and filter banks, tools forged in decades of mathematical elegance, to conquer the chaos of real-world signals. From radar echoes at 15.5 dB SNR to high-frequency trading ticks at 32 dB, this scientific research monograph bridges theory and application, uniting aerospace, biomedicine, and finance under a single transformative banner. It is a testament...