Linear Interpolation With Delta Slope Minimization for Data Reduction of Waveform Harmonic or Sequency Values
Original Publication Date: 1987-Nov-01
Included in the Prior Art Database: 2005-Feb-02
A technique is described whereby an algorithm is utilized to provide computerized data reduction of waveforms which are represented in their equivalent frequency or sequency spectrum. The algorithm is particularly useful in applications, such as digital music synthesis, which require waveforms to be transformed to frequency domain using Fourier transform or to the sequency domain Walsh transform for later reproduction. The technique described herein provides a means of reducing the amount of storage required to digitally synthesize the original waveform by using linear interpolation with delta slope minimization. An example of a waveform data storage problem can be visualized using a 500 Hz, four-second duration waveform digitized at a 32 KHz sampling rate.