Spectrum Correction with a Triangular Window

Zhang Qiang;Zhang Pin;Zhang Mingtong

Journal of Vibration and Shock ›› 2009, Vol. 28 ›› Issue (2) : 96-98.

PDF(1027 KB)
PDF(1027 KB)
Journal of Vibration and Shock ›› 2009, Vol. 28 ›› Issue (2) : 96-98.
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Spectrum Correction with a Triangular Window

  • Zhang Qiang1,2,Zhang Pin3,Zhang Mingtong3
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Abstract

The spectrum correction is a promised approach to overcome the fence picket effect of the fast Fourier transforms (FFT); however the formula for the triangular window case is not available from references. Two approaches were proposed here to the triangular window case. The first one makes use of the first and second highest spectral lines, but needs iteration to solve a nonlinear equation numerically. The second one makes use of the second and third highest spectral lines that locate at two sides of the first highest spectral lines. The simulation examples show that, first; both approaches have much better performance than the conventional direct readings from the spectral lines. Second, the error can be ascribed to the interference from the negative frequency component.

Key words

Frequency spectrum / Fast Fourier transform (FFT) / Spectral leakage / Picket fence effect / Windowing / Triangular window

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Zhang Qiang;Zhang Pin;Zhang Mingtong. Spectrum Correction with a Triangular Window[J]. Journal of Vibration and Shock, 2009, 28(2): 96-98
PDF(1027 KB)

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