System and method for analysis and reconstruction of variable pulse-width signals having low sampling rates

Abstract

Systems and methods are described herein for applying a predefined functional shape to coefficients of a discrete Fourier transform of a waveform. The waveform may based, at least in part, on an electro-cardiogram (ECG). The predefined functional shape may be parabolic, and may be defined on a logarithmic scale. The application of a predefined functional shape may allow a more accurate reconstruction of a waveform to be generated at a lower sampling rate.

Description

[0001] Cross References to Related Applications [0002] This application claims priority to U.S. Provisional Application No. 61 / 611,739, filed March 16, 2012, and U.S. Application No. 13 / 800,754, filed March 13, 2013, both of which are incorporated in their entirety by Applied methods are incorporated herein. technical field [0003] The present invention relates to systems and methods for applying predefined function shapes to coefficients of a discrete Fourier transform of a waveform. Background technique [0004] Digital parameterization is widely used in signal processing, storage, transmission and analysis. Probably the most common is to use Nyquist rate sampling, where a continuous time domain signal is represented by a set of sampled signal values ​​at discrete times. As long as the original continuous signal is band limited to at most half the sampling rate, the set of samples can be used to reconstruct the complete signal by using, for example, a sinc interpolat...

AI Technical Summary

Problems solved by technology

These models described in the prior art (which may be referred to as Dirac FRI models) are restricted to two parameters of the pulse description (amplitude and position within the period (for pseudo-periodic signals)), and restrict it to a single pulse shape for reconstruction

Therefore, the ability of these models to parameterize signals containing pulses of varying width is limited

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