slide: useful function?

I want to propose the following function slide, which is like map, but depends not on one value of a list, but on several consecutive ones. slide :: ([a] -> b) -> [a] -> [b] slide f [] = [] slide f xs = f xs : slide f (tail xs) For example, this is useful for a digital filter, like lowpass = firfilter [0.005178,0.005712,0.00589,0.005712,0.005178] firfilter :: [Coeff] -> DigitalFilter firfilter b = slide (firfilter' b) where firfilter' b = sum . zipWith (*) b What do you think? Or is there already a function slide, just with another name? Markus -- Markus Schnell, Infineon Technologies AG