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Short-time Lv transform and its application for non-linear FM signal detection

Shan Luo1, Xiumei Li2,*, and Guoan Bi3   

  1. 1. School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, China;
    2. School of Information Science and Engineering, Hangzhou Normal University, Hangzhou 311121, China;
    3. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore
  • Online:2015-12-25 Published:2010-01-03


A new time-frequency transform, known as short-time Lv transform (STLVT), is proposed by applying the inverse Lv distribution to process consecutive segments of long data sequence. Compared with other time-frequency representations, the STLVT is able to achieve better energy concentration in the time-frequency domain for signals containing multiple linear and/or non-linear frequency modulated components. The merits of the STLVT are demonstrated in terms of the effects of window length and overlap length between adjacent segments on signal energy concentration in the time-frequency domain, and the required computational complexity. An application on the spectrum sensing for cognitive ratio (CR) by using a joint use of the STLVT and Hough transform (HT) is proposed and simulated.