EE 313 Linear Systems and Signals Handout prepared by Mr. Rahul Mehta Z-­‐transform right shift property: Derivation: Consider an alternative expression for the unit step, : where is a rectangular function with unit magnitude and width given by: Using the above expression for the unit step, the z-­‐transform property can be written as: The rectangular function, is just a sum of time-­‐shifted impulse functions: where the terms in the sum are the weights of the impulse function Writing the expression by expanding the sum: Taking the z-­‐transform of both sides: factor out from all the summed terms: J -­‐ 1 EE 313 Linear Systems and Signals Handout prepared by Mr. Rahul Mehta J -­‐ 2