You are to realize a third-order MASH by cascading three first-order stages as shown in Fig. P18.16. The second and third stages accept as inputs the quantization errors of the previous stages, ....

You are to realize a third-order MASH by cascading three first-order stages as shown in Fig. P18.16. The second and third stages accept as inputs the quantization errors of the previous stages, . Assuming all of the discrete-time integrators are ideal, find the digital filters , , and that should be applied to the outputs of each of the three modulators before summing them so that the overall MASH output includes only the input signal and third-order shaped quantization noise.