Task 1: Zero Locations of Linear Phase of FIR filter
Consider an FIR filter with the following filter coefficients:
$h_n = \{-0.0484, -0.0316, 0.0663, -0.0161, -0.0762, 0.0418, 0.1838, -0.4172,
0.4172, -0.1838, -0.0418, 0.0762, 0.0161, -0.0663, 0.0316, 0.0484\}$
• Compute and plot the magnitude response of the filter. Discuss the frequency se-lectivity of the filter (i.e. lowpass, highpass, bandstop, bandpass) and relate the
frequency selectivity of the filter to the symmetry design of the filter.
• Use the roots function in Matlab to calculate the zeros of the filter and show the
zero-pole plot of the filter. (You should include in your plot the unit circle). Comment
on what you see. Compare your implementation with the function zplane in Matlab.
Relate the locations of the zeros to the amplitude response of the filter.