Use of Symmetrized Dot-Patterns to Produce Polar Graphs of Speech Waveforms
Original Publication Date: 1984-Dec-01
Included in the Prior Art Database: 2005-Feb-06
The described symmetrical polar graph dot-patterns provide a novel visual characterization useful in speech analysis, voice identification, and waveform characterization in general. Let the amplitude of a waveform at a time point j be symbolized as Yj . The algorithm maps the amplitude at points j and j+l into r and 0 in polar space, respectively, in the following manner: rj = Yj j = 1,2,3,.,N - 1 0 = i + Yj+1 i = 0,60,120,180,270,360;j = 1,2,3,.,N - -1ij 1 0 = i-Yj+1 i = 0,60,120,180,270,360;j = 1,2,3,.,N - 1 -2ij where N is the number of points in the pcm waveform. For each iteration of the program, an (r, 0-1) and (r, 0-2) is displayed on the video screen. In other words, the resultant figures have 6 mirror planes (at multiples of 60 degrees), and 1 input amplitude point would give rise to 12 display points.