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Determine and plot the response of an accumulator for an input sequence 𝑥[𝑛] = 𝑢[𝑛] + 2𝑢[𝑛 − 1] − 3𝑢[𝑛 − 3]. Consider the system is at rest. use the function filter

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Kenisha Dcosta
Kenisha Dcosta on 27 May 2021
Answered: Mahesh Taparia on 4 Jun 2021
Consider the difference equation of an accumulator
𝑦[𝑛] = 𝑦[𝑛 − 1] + 𝑥[𝑛]
The transfer function of this equation is given by taking z-transform as
𝑌[𝑧] = 𝑧−1𝑌[𝑧] + 𝑋[𝑧]
𝑇[𝑧] = 𝑌[𝑧]/X[𝑧] = 1/1 − 𝑧−1

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