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, Li, satisfy L₁ > L₂ > L3. (b) Find the passband edge and stopband edge analog frequencies of the decimation filters in all stages. (e) Specify the sampling rates of the decimation filters in the three stages and calculate the passband edge and stopband edge digital frequencies for all stages.