The specifications on the amplitude response of an FIR filter are as follows:
(a) Using a window design approach and a fixed window function, design a minimum-length linear-phase FIR filter to satisfy the given requirements. Provide a plot of the amplitude response.
(b) Using a window design approach and the Kaiser window function, design a minimum-length linear-phase FIR filter to satisfy the given requirements. Provide a plot of the amplitude response.
(c) Using a frequency-sampling design approach and with no more than two samples in the transition bands, design a minimum-length linear-phase FIR filter to satisfy the given requirements. Provide a plot of the amplitude response.
(d) Using the Parks-McClellan design approach, design a minimum-length linearphase FIR filter to satisfy the given requirements. Provide a plot of the amplitude response.
(e) Compare the above four design methods in terms of the order of the filter, the exact band-edge frequencies, and the exact tolerances in each band.