Application of wavelets and Hermiteans for simulation of ultra-wideband pulses satisfying to requirements of state committee of radio frequencies

This work is concerned on research of potentialities of Hermiteans and wavelets using for design of pulse with spectral density, which satisfies to spectral mask approved by State Committee of Radio Frequencies for indoor ultra-wideband device emission level. We defined a problem of pulse form optimization and researched two classes of functions. First, is based on Hermit polynomials, while the second is based on B-wavelet frequency spline. We researched pulse form dependence on parameters, function order, and performed pulse simulation. The mask utilization coefficient was used as criterion for comparison of simulated and known pulse forms proposed in other publications listed in reference. We propose to apply these pulse forms for ultra-wideband communication systems due to simple generation and high value of mask utilization coefficient.