• Acta Optica Sinica
  • Vol. 40, Issue 3, 0307001 (2020)
Jinglan Deng1、2, Jingjing Tong1、*, Minguang Gao1, Xiangxian Li1, Yan Li1, Xin Han1, and Wenqing Liu1
Author Affiliations
  • 1Key Laboratory of Environmental Optics and Technology, Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei, Anhui 230031, China
  • 2University of Science and Technology of China, Hefei, Anhui 230026, China
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    DOI: 10.3788/AOS202040.0307001 Cite this Article Set citation alerts
    Jinglan Deng, Jingjing Tong, Minguang Gao, Xiangxian Li, Yan Li, Xin Han, Wenqing Liu. Improved Triangular Window Apodization Function Based on Zero-Order Bessel Function[J]. Acta Optica Sinica, 2020, 40(3): 0307001 Copy Citation Text show less
    Time-frequency domain analysis of triangular window and improved triangular window apodization functions. (a) Time domain; (b) frequency domain
    Fig. 1. Time-frequency domain analysis of triangular window and improved triangular window apodization functions. (a) Time domain; (b) frequency domain
    Working principle of portable Fourier transform infrared spectrometer
    Fig. 2. Working principle of portable Fourier transform infrared spectrometer
    Spectra of different apodization functions. (a) Kaiser window with different parameters; (b) other common apodization functions
    Fig. 3. Spectra of different apodization functions. (a) Kaiser window with different parameters; (b) other common apodization functions
    Results after data processing by Kaiser window apodization function with different parameters. (a) Original signal; (b) β=1; (c) β=4; (d) β=9; (e) β=16; (f) β=25
    Fig. 4. Results after data processing by Kaiser window apodization function with different parameters. (a) Original signal; (b) β=1; (c) β=4; (d) β=9; (e) β=16; (f) β=25
    Results after data processing by different apodization functions. (a) Original signal; (b) triangular window; (c) Hanning window; (d) Hamming window; (e) Blackman window; (f) improved triangular window
    Fig. 5. Results after data processing by different apodization functions. (a) Original signal; (b) triangular window; (c) Hanning window; (d) Hamming window; (e) Blackman window; (f) improved triangular window
    Apodization functionRelative sidelobe attenuation /dBMainlobe width
    Kaiser (β=1)-14.70.027π
    Kaiser (β=4)-30.60.035π
    Kaiser (β=9)-66.00.051π
    Kaiser (β=16)-122.00.066π
    Kaiser (β=25)-201.30.082π
    Rectangular-13.30.027π
    Triangular-26.60.039π
    Hanning-31.50.043π
    Hamming-42.50.039π
    Blackman-58.10.051π
    Improved triangular-28.50.043π
    Table 1. Mainlobe width and relative sidelobe attenuation of different apodization functions
    Kaiser windowTest 1Test 2Test 3Average
    β=1RSN-PP6.080×1035.121×1036.600×1035.934×103
    RSN-RMS2.854×1042.401×1043.092×1042.782×104
    β=4RSN-PP7.859×1038.172×1037.902×1037.978×103
    RSN-RMS3.604×1043.664×1043.596×1043.621×104
    β=9RSN-PP9.320×1039.716×1039.051×1039.362×103
    RSN-RMS4.066×1044.334×1043.850×1044.083×104
    β=16RSN-PP1.030×1041.088×1049.968×1031.038×104
    RSN-RMS4.416×1044.744×1043.600×1044.253×104
    β=25RSN-PP1.095×1041.188×1041.066×1041.116×104
    RSN-RMS4.681×1045.065×1044.084×1044.610×104
    Table 2. Signal-to-noise ratio of Kaiser window apodization function with different parameters
    Apodization functionTest 1Test 2Test 3Average
    Original signalRSN-PP5.613×1034.613×1036.270×1035.499×103
    RSN-RMS2.680×1042.155×1042.955×1042.597×104
    TriangularRSN-PP8.751×1039.239×1038.605×1038.865×103
    RSN-RMS3.934×1044.121×1043.785×1043.947×104
    HanningRSN-PP8.443×1038.697×1038.427×1038.522×103
    RSN-RMS3.806×1043.987×1043.715×1043.836×104
    HammingRSN-PP8.285×1038.643×1038.237×1038.388×103
    RSN-RMS3.742×1043.877×1043.679×1043.766×104
    BlackmanRSN-PP9.240×1039.603×1038.985×1039.276×103
    RSN-RMS4.040×1044.300×1043.837×1044.059×104
    Improved triangularRSN-PP9.208×1039.721×1038.964×1039.298×103
    RSN-RMS4.071×1044.330×1043.853×1044.085×104
    Table 3. Signal-to-noise ratio of common apodization functions
    Jinglan Deng, Jingjing Tong, Minguang Gao, Xiangxian Li, Yan Li, Xin Han, Wenqing Liu. Improved Triangular Window Apodization Function Based on Zero-Order Bessel Function[J]. Acta Optica Sinica, 2020, 40(3): 0307001
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