Design of Digital Fractional Order Differentiator Using Discrete Sine Transform

被引:0
|
作者
Tseng, Chien-Cheng [1 ]
Lee, Su-Ling [2 ]
机构
[1] Natl Kaohsiung First Univ Sci & Technol, Dept Comp & Commun Engn, Kaohsiung, Taiwan
[2] Chang Jung Christian Univ, Dept Comp Sci & Informat Engn, Tainan, Taiwan
关键词
ALGORITHM;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, the designs of digital fractional order differentiator (DFOD) using discrete sine transforms (DST) are presented. First, the definition of fractional differentiation is reviewed briefly. Then, the DST-based interpolation method is applied to compute the fractional differentiation of a given digital signal. Next, the transfer functions of DFOD are obtained from the DST computational results by using index mapping method. Finally, some numerical and application examples are demonstrated to show the effectiveness of the proposed DST-based design method.
引用
收藏
页数:9
相关论文
共 50 条
  • [1] Design of Riesz Fractional Order Differentiator Using Discrete Sine Transform
    Kumar, Manjeet
    Rawat, Tarun Kumar
    Anand, Rohan
    Karwayun, Rishabh
    Jain, Aman
    2016 3RD INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING AND INTEGRATED NETWORKS (SPIN), 2016, : 708 - 712
  • [2] DESIGN OF FRACTIONAL ORDER DIFFERENTIATOR USING DISCRETE HARTLEY TRANSFORM
    Tseng, Chien-Cheng
    Lee, Su-Ling
    18TH EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO-2010), 2010, : 50 - 54
  • [3] Image Sharpening Using Matrix Riesz Fractional Order Differentiator and Discrete Sine Transform
    Lee, Su-Ling
    Tseng, Chien-Cheng
    2016 IEEE INTERNATIONAL CONFERENCE ON CONSUMER ELECTRONICS-TAIWAN (ICCE-TW), 2016, : 55 - 56
  • [4] Design of Matrix Second-Order Differentiator for Image Sharpening Using Discrete Sine Transform
    Lee, Su-Ling
    Tseng, Chien-Cheng
    2015 IEEE INTERNATIONAL CONFERENCE ON CONSUMER ELECTRONICS - TAIWAN (ICCE-TW), 2015, : 316 - 317
  • [5] Closed-Form Design of Fractional Order Differentiator Using Discrete Cosine Transform
    Tseng, Chien-Cheng
    Lee, Su-Ling
    2013 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), 2013, : 2609 - 2612
  • [6] Window Based Design of Fractional Order FIR Digital Differentiator using Type- III Discrete Cosine Transform
    Khare, Shaily
    Kumar, Manjeet
    Rawat, Tarun Kumar
    2014 INTERNATIONAL CONFERENCE ON SIGNAL PROPAGATION AND COMPUTER TECHNOLOGY (ICSPCT 2014), 2014, : 39 - 43
  • [7] Discrete cosine transform interpolation based design of two-dimensional FIR fractional order digital differentiator
    Shilpa garg
    Richa Yadav
    Manjeet Kumar
    Multidimensional Systems and Signal Processing, 2022, 33 : 1367 - 1386
  • [8] Discrete cosine transform interpolation based design of two-dimensional FIR fractional order digital differentiator
    Garg, Shilpa
    Yadav, Richa
    Kumar, Manjeet
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2022, 33 (04) : 1367 - 1386
  • [9] Design of digital Riesz fractional order differentiator
    Tseng, Chien-Cheng
    Lee, Su-Ling
    SIGNAL PROCESSING, 2014, 102 : 32 - 45
  • [10] Design of fractional order differentiator using type-III and type-IV discrete cosine transform
    Kumar, Manjeet
    Rawat, Tarun Kumar
    ENGINEERING SCIENCE AND TECHNOLOGY-AN INTERNATIONAL JOURNAL-JESTECH, 2017, 20 (01): : 51 - 58