An input ADC is used to collect input samples at a CD-quality rate F s = 44 kHz. Input samples are processed with a digital filter to generate output samples, which are sent to a DAC at the same rate...

An input ADC is used to collect input samples at a CD-quality rate F_s
= 44 kHz. Input samples are processed with a digital filter to generate output samples, which are sent to a DAC at the same rate Fs. Every sample interval T = 1/F_s, the digital processor executes the following MATLABcompatible code:

(a) Does the code implement DFI, DFII, TDFI, or TDFII? Support your answer by drawing the appropriate block diagram labeled in a manner that is consistent with the code.

(b) Plot the filter impulse and magnitude response. What type of filter does this digital system implement?

(c) What frequency f0 causes the analog input x(t) = cos(2πf0t) to generate the strongest response? What is the corresponding gain of the digital system?