Hamming filter

The Hamming filter that optionally is used to de-weight en re-weight the spectrum of master and slave has the form:

$$W(f_r) = \left[\alpha + (1-\alpha) \cos(2\pi {f_r\over f_s})\right] \rm {rect}\left({f_r\over B_r}\right).$$ (V3)

Where $f_r$ is the frequency axis (-fs/2:df:fs-df, df=fs/N). $f_s$ is the range sampling rate (18.96MHz), and $B_r$ is the bandwidth in range (15.55MHz). $\alpha$ is a parameter controlling the amount of weighting.

$$\rm {rect}(x) = \left\{ \begin{array}{ll} 1, & \parallel x \parallel < 0.5 \\ 0, & {\rm otherwise} \end{array} \right.$$ (V4)

Note: rect not periodic.