▁Hann ▁window . ▁The ▁Ham ming ▁window ▁is ▁often ▁called ▁the ▁Ham ming ▁b lip ▁when ▁used ▁for ▁pul se ▁sh aping . ▁ ▁Appro xim ation ▁of ▁the ▁coefficients ▁to ▁two ▁decimal ▁places ▁substantial ly ▁low ers ▁the ▁level ▁of ▁s idel ob es , ▁to ▁a ▁nearly ▁equ iri pp le ▁condition . ▁In ▁the ▁equ iri pp le ▁sense , ▁the ▁optimal ▁values ▁for ▁the ▁coefficients ▁are ▁a 0   =   0 . 5 3 8 3 6 ▁and ▁a 1   =   0 . 4 6 1 6 4 . ▁ ▁Black man ▁window ▁▁ ▁Black man ▁windows ▁are ▁defined ▁as : ▁ ▁By ▁common ▁convention , ▁the ▁un qual ified ▁term ▁Black man ▁window ▁refers ▁to ▁Black man ' s ▁" not ▁very ▁serious ▁proposal " ▁of ▁ ▁( a 0   =   0 . 4 2 , ▁a 1   =   0 . 5 , ▁a 2   =   0 . 0 8 ), ▁which ▁closely ▁approxim ates ▁the ▁exact ▁Black man , ▁with ▁a 0   =   7 9 3 8 / 1 8 6 0 8   ≈   0 . 4 2 6 5 9 , ▁a 1   =   9 2 4 0 / 1 8 6 0 8   ≈   0 . 4 9 6 5 6 , ▁and ▁a 2   =   1 4 3 0 / 1 8 6 0 8   ≈   0 . 0 7 6 8 4