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This study concerns parameterization and subsequent subtraction of the fast decaying signals of macromolecules from in vivo MRS signals of tissue metabolites of interest. The parameterization is done with a State Space approach (HSVD) based on singular value decomposition. The method is tested with a simulated non-exponentially damped macromolecule signal and an exponentially damped metabolite signal. and is compared with mere omission of initial samples. Exact analytic expressions of the macromolecule signal are derived in both the time domain and the frequency domain.