Notes about sampling theorem When sampling at rate 2W the reconstruction filter must be a rectangular pulse Such a filter is not realizable For perfect reconstruction must look at samples in the infinite future and past In practice we can sample at a rate somewhat greater than 2W which makes reconstruction filters that are easier to realize Given any set of arbitrary sample points that are 1/2W apart, can construct a continuous time signal band-limited to w Slide 12Notes about Sampling Theorem • When sampling at rate 2W the reconstruction filter must be a rectangular pulse – Such a filter is not realizable – For perfect reconstruction must look at samples in the infinite future and past • In practice we can sample at a rate somewhat greater than 2W which makes reconstruction filters that are easier to realize • Given any set of arbitrary sample points that are 1/2W apart, can construct a continuous time signal band-limited to W Eytan Modiano Slide 12