Fourier transform provides frequency spectrum of signal for feature extraction, wavelet classifier, matching filter design, and etc. Visualization the spectrum of an indexed electrocardiogram signals from Mendeley data base coming in order to evolute mathematical form of filter. The visualized frequency spectrum is for Normal Sinus Rhythm (NSR). Filter is proposed for absolute, real, and imaginary parts to be spectrum resemblance. It is trending to ramp exponential function, the nearest approach to work as match filter for NSR signals. Scale and decay factors are set according to a programable and mathematical computations for evolution. The proposed filter is Finite Impulse Response (FIR) and it is found that, it is equivalent to second order Linear Time Invariant system (LTI). Signal purification by filter and interpolation has observed after setting the number of samples per segment length.
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