Fiber Bragg gratings (FBGs) are widely used to compensate dispersion in densely high bit rate optical communication system. Apodization of the FBG mainly minimizes the effect of spurious side spectrum and apodization function plays an important role in controlling the behaviour of mean dispersion, reflection spectrum, group delay etc. In this paper, we have investigated and compared the performances of various apodization functions in linearly chirped apodized FBG. Here, six different apodization profiles have been studied including their effects on the performances of the dispersion compensator. Comparison reveals that the sinc profile results best performance for chromatic dispersion compensation.