1) Given the following set of inputs, x[n], to a three-term moving average filter,

1) Given the following set of inputs, x[n], to a three-term moving average filter,

calculate y[n] for the last output where all the inputs to the moving average are defined.

x[0] = 3, x[1] = 5, x[2] = 8, x[3] = 7, x[4] = 4, x[5] = 2, x[6] = 1

2) What is the value of the coefficient +0.1837 if it is quantized to 10 bits?

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3) What is the main reason that bilinear transformation is used in IIR filter design?