Bilinears-zwithFrequencyTransformation Using PascalMatrixOperation

Thispaperpresents analternative methodused foranalog domaintodigital domaintransformation basedon bilinear transform. ThePascal matrixisusedtotransform analogtransfer function on s planetodigital transfer function onzplane. Moreover, thefrequency transformation fromnormalized analog low-pass filter prototype todigital low-pass, high-pass, band-pass andband-stop filter willbe considered incorporate toPascal matrixoperation. This methodcanbe cleared thecomputation complexity of original bilinear transform, especially tosolve thedifficulty in caseofhigherorderofdigital riterbecauseallof computation usematrixoperation. Therefore, itiseasyand appropriate toprogramthis methodonpersonal computer or scientific calculator. Keyword- Frequency Transformation