Bilinear s-z with frequency transformation using Pascal matrix operation

This paper presents an alternative method used for analog domain to digital domain transformation based on bilinear transform. The Pascal matrix is used to transform analog transfer function on s plane to digital transfer function on z plane. Moreover, the frequency transformation from normalized analog low-pass filter prototype to digital low-pass, high-pass, band-pass and band-stop filter is considered incorporate to Pascal matrix operation. This method can be cleared the computation complexity of original bilinear transform, especially to solve the difficulty in case of higher order of digital filter because all of computation use matrix operation. Therefore, it is easy and appropriate to program this method on personal computer or scientific calculator.