Abstract: In the view of signal process, the outcome of slicing forming process-step effect can be considered as transferring inputted function of the prototype’s contour to step function, and then rapid prototyping(RP) machine can be comprehended as a filter bank. Fourier analysis, Gabor analysis and wavelet analysis has been used to describe the transforming process of prototype’s contour information. Since wavelet analysis can preferably dispose nonstationary time series and construct step waveform, it is the better way to design the mathematical model to describe the forming process of RP. The unit square wave has been used as scale function to construct wavelet primary function which can reflect the characteristics of step wave. The primary function is Haar function. By wavelet analysis the math model of RP processing has been designed, which can transfer the inputted signal to step wave.

Key words: Fourier analysis, Mathematical model, Rapid prototyping(RP), Wavelet analysis, Iterative Learning Optimization, Newton Iteration Method, Time Delay Control, Key words: Linear Servo System