Measuring Waveforms With The Digital Infinite Exponential Transform

摘要

A method is performed of selecting a signal of interest from a compound signal. The method includes generating a matrix and initializing a first row of the matrix to zero. The compound signal is obtained as a digital waveform signal, with sampling rate S samples per second. For each sample of the digital signal, a new entry is recursively computed for the matrix. For each frequency bin in the matrix (where f is the center frequency of the bin) the value in the new row is computed by multiplying the value for that bin in the previous row by the complex number r*e^i2πf/S and adding the new signal sample multiplied by a real constant. The method includes identifying the signal of interest from the matrix, whereby an uncertainty of which frequency bin the signal of interest exists in is eliminated.