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:<math>w_n^2 + w_{n + N}^2 = 1</math>.
Various window functions are used. A window that produces a form known as a modulated lapped transform (MLT)<ref>H. S. Malvar, "Lapped Transforms for Efficient Transform/Subband Coding", ''IEEE Trans. on Acoustics, Speech, and Signal Processing'', vol. 38, no. 6, pp. 969–978 (Equation 22), June 1990.</ref><ref>H. S. Malvar, "Modulated QMF Filter Banks with Perfect Reconstruction", ''Electronics Letters'', vol. 26, no. 13, pp. 906–907 (Equation 13), June 1990.</ref> is given by
:<math>w_n = \sin \left[\frac{\pi}{2N} \left(n+\frac{1}{2}\right) \right]</math>
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