Design FIR filter with half zero coefficions
Oh, these are &quot;Nyquist (M) filters&quot;, in your case M=2. You'll very often find them in mutlirate systems, especially as L-th-band-filters (i.e. filters that only let through 1/L of the Nyquist bandwidth) in decimators.
This is very fundamental for multirate systems, not really &quot;research paper stuff&quot;, so your best bet is hence a good book on Multirate Systems. Fliege has written a classic &quot;Multirate Digital Signal Processing&quot;, harris did, too, with &quot;Multirate Signal Processing For Communication Systems&quot; and Vaidyanathan seems to have written a popular book called &quot;Multirate Systems and Filter Banks&quot;, but I haven't ever read that.