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##### 6.18 INVERSE z-TRANSFORM USING PARTIAL FRACTION EXPANSION

In partial fraction expansion method, the function X(z) is expressed as follows:

X(z) = α1X1(z) + α2X2(z) + α3X3(z) + ....... + αmXm(z)

where α1, α2, α3, ............ and αm are the constants and X1(z), X2(z), X3(z), ........., Xm(z) are the standard z-transforms. The inverse transform of these standard z-transform are known. Using linearity property we can write

x(n) = α1x1(n) + α2x2(n) + α3x3(n) + ....... + αmxm(n)    (6.72)

If the z-transform is rational in nature which can be expressed as the ratio of two polynomials as follows

Let b0 = 1. If b0 ≠ 1, the polynomials ...

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