The networks in Figure all have the same system function. Assume that the systems in the figure

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The networks in Figure all have the same system function. Assume that the systems in the figure are implemented using (B + 1)-bit fixed-point arithmetic in all the computations. Assume also that all products are rounded to (B + 1) bits before additions are performed.

(a) Draw linear-noise models for each of the systems in Figure.

(b) Two of the networks in Figure have the same total output noise power due to arithmetic round-off. Without explicitly computing the output noise power, determine which two have the same output noise power.

(c) Determine the output noise power for each of the networks in Figure. Express your answer in terms of σ2B, the power of a single source of round-off noise.

bo y(n) y[n] x[n} x[n] bị b1 (a) (b) x[n] y[n} b1 (c)

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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