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Hamming filter

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

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

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

Note: rect not periodic.

Leijen 2009-04-14