3.3.1 Partial fractions
A technique that is often required to put an s function in terms which
identify with forms, so enabling the corresponding time function to beobtained in Table 3.1 is partial fractions. The term partial fractions is
used for the process of converting an expression involving a complex
fraction into a number of simpler fraction terms. This teclmique can be
used provided the highest power of s in the numerator of the expression
is less than that in the denominator. When the highest power in the
numerator is equal to or higher than that of the denominator, the
denominator must be divided into the numerator until the result is the
sum of terms with the remainder fractional term having a numerator
with a lower power than the denominator.