Identification of PieceWise Linear and Homogeneous Zone Detection

1D signal:Identification of PieceWise Linear by multiple regression.

Description

Project:1D signal:Identification of PieceWise Linear by multiple regression

Detection of homogeneous zone using entropie
Projection in the Hough space (1D) I/O

Inputs: 1D signal (xe,ye)
Simulated data (Figure 12);
Outputs: Entropie signal (xee,yee)
Line positions, position
Line lengths, longueur
Line slopes, pente
Error of regression, e

Purpose: E=0:
Identification of PieceWise Linear (Figure 1)
Projection in the Hough space (Figure 2,3)
E=1:
Identify homogeneous zone of a signal (detect also singularity or abrupt changes)(Figure 1)
Projection in the 1D Hough space (Length of the line,position of the line) (Figure 2,3)

• MATLAB release: MATLAB 6.5 (R13)
• Other requirements: Matlab codes also used corrcoef, polyfit, plotc, plumbplot3 for slope(°) calculus use: pente(u)=atan(alpha(1))*180/pi; instead of pente(u)=(alpha(1))*180/pi

[Piotr Dollar]

needs to be a function, not a script [hard to interface]. worked well on easy data, poorly on noisy data, although I am not sure if there were parameters to set [poor interface]

[Sergio GM]

Error is high even for simple data.