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z-Transform

Properties of the z-Transform II

Description

The property of Accumulation in signal processing is derived by analyzing the accumulated sum of a discrete-time signal and using the time-shifting property to determine its z-transform. This principle reveals that the z-transform of the summed signal is related to the z-transform of the original signal by a multiplicative factor.

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Transcript

The property of Accumulation is derived by expressing the accumulated sum and applying the time-shifting property to solve for the Z-transform.

It states that summing a discrete-time signal produces another signal whose Z-transform equals the Z-transform of the original signal multiplied by z over z minus 1.

The convolution propert...

Tags

Z TransformAccumulation PropertyConvolution PropertyInitial Value TheoremFinal Value TheoremDiscrete Time SignalsTime Shifting PropertySignal ProcessingSystem AnalysisFrequency Domain