ABSTRACT

This chapter presents a concise review of all popular window functions that are commonly employed in digital signal processing. It describes the basic parameters of the windows that are useful in choosing an efficient window for a particular application. Taylor functions are obtained by adding a weighted-cosine series to a constant. The class of window functions with the minimum main-lobe width for a given side-lobe amplitude is known as the continuous-time Dolph–Chebyshev weighting functions. Since the modified zeroth-order Bessel windows with variable parameters are near-optimum, it is only natural to compare all the other windows with this family. The coefficients of this window are optimized so as to obtain the minimum First Side-Lobe Level. The Hamming window finds applications in optics for apodization, which smoothens the input intensity or transmission profile, such that it approaches almost zero at the edges.