Wavelet Toolbox

Fractional Brownian Motion Synthesis Using the Graphical Interface

1. Start the Fractional Brownian Motion Synthesis Tool.

1. From the MATLAB prompt, type

   • wavemenu
     

   The Wavelet Toolbox Main Menu appears. Click Fractional Brownian Generation 1-D to display the One-Dimensional Fractional Brownian Motion Synthesis Tool.

   

2. Generate fBm.

1. From the Fractal Index edit button, type 0.3 and from the Seed frame, select the item State and set the value to 0. Next, click the Generate button.
   
   

   The synthesized signal exhibits a locally highly irregular behavior.

3. Now let us try another value for the fractal index. From the Fractal Index edit button, type 0.7 and from the Seed frame, select the item State and set the value to 0. Next, click the Generate button.
   
   

1.     The synthesized signal clearly exhibits a stronger low-frequency component and has locally a less irregular behavior. These properties can be investigated by clicking the Statistics button.

Fractional Brownian Motion Synthesis Using the Command Line

Saving the Synthesized Signal

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