1. Basic tasks of signal processing in spectroscopy -- 2. The role of quantum mechanics in signal processing -- 3. Exact quantum-mechanical, Pad-̌based recovery of spectral parameters -- 4. Harmonic transients in time signals -- 5. Signal-noise separation via Froissart doublets -- 6. Machine accurate quantification and illustrated signal-noise separation -- 7. Pad ̌processing for MR spectra from in vivo time signals -- 8. Magnetic resonance in neuro-oncology : achievements and challenges -- 9. Pad ̌quantification of malignant and benign ovarian MRS data -- 10. Breast cancer and non-malignant breast data : quantification by FPT -- 11. Multiplet resonances inMRS data from normal and cancerous prostate -- 12. Recapitulation of Pad-̌optimized processing of biomedical time signals -- 13. Conclusion and outlooks.