[15] Problem 8: You need to design a three-stage decimator to drop the sampling rate from 2000 kHz to 20 kHz for an analog signal that lies in the frequency band of 0-8 kHz. (a) Specify one possible set of decimation factors for the three stages so that the decimation factors of the three stages, L, satisfy L₁ > L₂> L3. (b) Find the passband edge and stopband edge analog frequencies of the decimation filters in all stages.