Unequivocal disentangling genuine from spurious information in time signals: clinical relevance in cancer diagnostics through magnetic resonance spectroscopy

Mathematically-optimized magnetic resonance spectroscopy in breast cancer diagnostics: implications for personalized cancer medicine

“…This problem is handled algorithmically by the FPT via the process of identifying pole-zero confluences [6,108,109]. The FPT generates the unique set of spectral poles and zeros for each K in P K /Q K .…”

“…The signal-noise separation procedure As described in detail in studies [6,108,109], when the computation is continued after the stabilized value of degree K in the FPT (−) has been attained, the terms in the Padé numerator and denominator polynomials cancel. Thus, this is characteristic of stability of the spectra:…”

“…As noted, this has thus far been demonstrated in most publications by using the FPT (−) [48,[103][104][105][106]. The exception is the case of MRS of the brain where both the FPT (+) and the FPT (−) have been used throughout, including the concept of signal-noise separation, SNS [6,94,95,97,101,[108][109][110].…”

“…The fluctuating pole is associated with a fluctuating zero, and they collapse into each other (z ± k,Q = z ± k,P ), thus annihilating these unstable spectral structures. This process of noise suppression via detection of pole-zero congruences, and is also called the denoising Froissart filter (DFF) [6,108,109].…”