Practical Filters Since ideal filters cannot be implemented with numerical computation, t is necessary to study how much degradation there will be when actual implementable filters are used. In this section, the filters are order 14 FIR filters with 15 filter coefficients. For both tests, use the same input signal as before: 1.8 cos(0.46πη), when you observe the output signal, think about the following question: Do you ex- pect the signal to be in the stopband or passband of the filter, i. e., do you expect the output to be zero or to be equal to the input? (a) LPF: Set the filter type to a length-15 LPF, with its cutoff frequency at We = 2m(0.29). The cutoff frequency determines the boundary between the stopband and the passband. Use the GUI to determine the output signal passed by the LPF. Comment on how close this filter is to the ideal (b) In the lowpass case, the output can be written as y[n] = Aout cos(0.46m(n-nd)), where nd represents a delay. Use the time-domain plots, or the phase slope and phase value to determine nd which must be an integer. Comment on the degradation of the output amplitude from the ideal. (c) HPF: Set the filter type to a length-15 HPE with its cutoff frequency at We 2m(0.29). The cutoff frequency determines the boundary between the stopband and the passband. Use the GUI to determine how well the output signal rejected by the HPF versus an ideal filter,.e., determine the amplitude of the output signal which should be close to zero.