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Designing a symmetric FIR low pass filter

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lightningprime

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How do I approach this problem? I have no idea.
 

Calculate the inverse discrete-time Fourier transform of the target magnitude response. This will give you h_a[n]. Since you are asked to use a rectangular window with length 5, you only need to keep h_a[-2], h_a[-1], h_[0], h_a[1], and h_a[2] and assume the other components to be zero. Now, to have a linear-phase symmetric response, apply a time shift of (5-1)/2 to the above time domain components.

-Mahdi
 

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