Abstract: This paper presents the complex source pulsed beam formed by the arbitrary symmetric single-peak transient signal of normal high-order derive-tives at the peak as the sum of basic complex source pulsed beam about series of basic signals including retangular,triangular,and half-elliptical signals of mul-tiple power function. And it uniforms the analysis formulas of the complex source pulsed beams of symmetric single-peak transient signals. And it is compared with the expression of the complex pulsed source beam diffident by the single-side fou-rier transform.

Key words: wave propagation, transient wave, complex source plused beam, synthesis, basic signal