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On uncertainty principle of the local polynomial Fourier transform

หน่วยงาน Nanyang Technological University, Singapore

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ชื่อเรื่อง : On uncertainty principle of the local polynomial Fourier transform
นักวิจัย : Li, Xiumei , Bi, Guoan , Li, Shenghong
คำค้น : DRNTU::Engineering::Electrical and electronic engineering
หน่วยงาน : Nanyang Technological University, Singapore
ผู้ร่วมงาน : -
ปีพิมพ์ : 2555
อ้างอิง : Li, X., Bi, G., & Li, S. (2012). On uncertainty principle of the local polynomial Fourier transform. EURASIP Journal on Advances in Signal Processing, 2012(1). , 1687-6180 , http://hdl.handle.net/10220/10233 , http://dx.doi.org/10.1186/1687-6180-2012-120
ที่มา : -
ความเชี่ยวชาญ : -
ความสัมพันธ์ : EURASIP journal on advances in signal processing
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

In this article, a comprehensive study on uncertainty principle of the local polynomial Fourier transform (LPFT) is presented. It shows that the uncertainty product of the LPFT of an arbitrary order is related to the parameters of the signal and the window function, in addition to the errors of estimating the polynomial coefficients. Important factors that affect resolutions of signal representation, such as the window width, the length of overlap between signal segments, order mismatch and estimation errors of polynomial coefficients, are discussed. The effects of minimizing computational complexities on signal representation by reducing the order of the transform and the overlap length between signal segments are also examined. In terms of the signal concentration, comparisons among the short-time Fourier transform, the Wigner-Ville distribution and the second order LPFT are presented. The LPFT is shown to be an excellent candidate providing better representations for time-varying signals.

บรรณานุกรม :
Li, Xiumei , Bi, Guoan , Li, Shenghong . (2555). On uncertainty principle of the local polynomial Fourier transform.
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Li, Xiumei , Bi, Guoan , Li, Shenghong . 2555. "On uncertainty principle of the local polynomial Fourier transform".
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Li, Xiumei , Bi, Guoan , Li, Shenghong . "On uncertainty principle of the local polynomial Fourier transform."
    กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2555. Print.
Li, Xiumei , Bi, Guoan , Li, Shenghong . On uncertainty principle of the local polynomial Fourier transform. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2555.