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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Kaiser window ： ウィキペディア英語版 Kaiser window The Kaiser window, also known as the Kaiser-Bessel window, was developed by James Kaiser at Bell Laboratories. It is a one-parameter family of window functions used for digital signal processing, and is defined by the formula ,〔 Article on FFT windows which introduced many of the key metrics used to compare windows.〕: :$$ w() = \left\-1\right)^2}\right)} , & 0 \leq n \leq N-1 \\ \\ 0 & \mbox, \\ \end \right. where: * ''N'' is the length of the sequence. * ''I''0 is the zeroth order Modified Bessel function of the first kind. * ''α'' is an arbitrary, non-negative real number that determines the shape of the window. In the frequency domain, it determines the trade-off between main-lobe width and side lobe level, which is a central decision in window design. When ''N'' is an odd number, the peak value of the window is  $\backslash scriptstyle\; w()\; =\; 1,$  and when ''N'' is even, the peak values are   ==Fourier transform== Underlying the discrete sequence is this continuous-time function and its Fourier transform: :$\backslash underbrace\backslash right)^2\}\backslash right)\}\; \}\_$ \quad \stackrel\quad \underbrace_. The maximum value of ''w''''0''(''t'') is ''w''''0''(0) = 1.  The ''w''() sequence defined above are the samples of: :$w\_0\backslash left(t-\backslash tfrac\backslash right)\backslash cdot\; \backslash operatorname\backslash left(\backslash tfrac\backslash right),$    sampled at intervals of T, and where rect() is the rectangle function.  The first null after the main lobe of ''W''''0''(''f'') occurs at: :$f\; =\; \backslash frac,$      which in units of DFT bins is just  $\backslash scriptstyle\; \backslash sqrt.$ ''α'' controls the tradeoff between main-lobe width and side-lobe area.  As ''α'' increases, the main lobe of ''W''''0''(''f'') increases in width, and the side lobes decrease in amplitude, as illustrated in the figure at right.  ''α'' = 0 corresponds to a rectangular window. For large ''α'', the shape of the Kaiser window (in both time and frequency domain) tends to a Gaussian curve.  The Kaiser window is nearly optimal in the sense of its peak's concentration around frequency ''0'' (Oppenheim ''et al.'', 1999). 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Kaiser window」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.