in this paper, an algorithm suitable for the computer aided design (CAD) has been developed to estimate and model the main characteristic parameters of an apodized SAW filter. The design of SAW filters on different substrates consisting of two apodized interdigital transducers (IDTs) without using multistrip coupler is presented. The analytical model is described using REMEZ algorithm. The design criteria for an apodized SAW filter components are discussed in terms of number of fingers, minimum stopband attenuation, maximum passband ripples, and design frequency range requirements. In other words, the upper and lower hermitian frequency response, impulse response/apodization, and phase response are demonstrated with aid of the computer algorithm. The technique has been applied to the design of multiband linear phase SAW filters. The uses Hermitian function relations can be applied to realize an even or odd number of up to fifteen passbands with equal or unequal widths, as required. The results obtained in this work, provide an adequate basis for understanding the parameters effects, and optimization processes of an apodized SAW filter. A comparison between the obtained results and the experimental published results shows a good agreement.