This chapter presents the implementation details of windows in the time and frequency-domains. While computing the discrete Fourier transform (DFT), the inevitable truncation of the input time sequence causes all the frequency components of the input signal to interfere with one another [1–4]. This phenomenon is often called frequency leakage or smearing, as it leads to the spreading of energy. Owing to this leakage, the computed spectrum differs from the true spectrum. To reduce this unwanted effect, the input data is usually multiplied by a suitable window function before performing the DFT [5–9]. For a special class of windows, windowing can alternatively be implemented ...
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