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Signals and Systems by Smarajit Ghosh

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6.16 z-TRANSFORM OF an sin () u(n)

Let x1(n) = sin ()u(n). Now we can write

 

image

 

The given expression is x(n) = ancos ()u(n) = anx1(n)

 

∴                X(z) = Z[anx1(n)]

 

Using scaling property, we can write

 

image

 

Hence, the obtained z-transformation pair is

 

images

 

Table 6.1 gives the standard z-transform pairs.

 

Table 6.1 Standard z-transform pairs.

 

Example 6.4 Find the z-transform of the following signal with the help of linearity and ...

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