TY - GEN
T1 - A modified fourth-order time-frequency distribution with complex-lag argument and its counterpart L-form
AU - Wang, Ran
AU - Jiang, Yicheng
PY - 2012
Y1 - 2012
N2 - The 4th-order cross-term reduced time-frequency distribution with complex-lag argument (CTD) is analyzed and its frequency scale problem is pointed out. The conventional solutions to the problem are oversampling the signal or applying interpolation to the signal after it has been sampled, as they have been done in Wigner-Ville distribution (WVD). However, oversampling or interpolation results in excessive calculation amount. Therefore, a modified version of 4th-order cross-term reduced CTD (MCTD4) is proposed in this paper. The modifications include compressing the core function of CTD and making a periodic extension of the result. Because MCTD4 doesn't have the frequency scale problem, oversampling or interpolation is not necessary. The counterpart L-form of MCTD4 is also included. It increases the time-frequency resolution of MCTD4. Effectiveness of the method is illustrated by examples.
AB - The 4th-order cross-term reduced time-frequency distribution with complex-lag argument (CTD) is analyzed and its frequency scale problem is pointed out. The conventional solutions to the problem are oversampling the signal or applying interpolation to the signal after it has been sampled, as they have been done in Wigner-Ville distribution (WVD). However, oversampling or interpolation results in excessive calculation amount. Therefore, a modified version of 4th-order cross-term reduced CTD (MCTD4) is proposed in this paper. The modifications include compressing the core function of CTD and making a periodic extension of the result. Because MCTD4 doesn't have the frequency scale problem, oversampling or interpolation is not necessary. The counterpart L-form of MCTD4 is also included. It increases the time-frequency resolution of MCTD4. Effectiveness of the method is illustrated by examples.
KW - L-class of time-frequency distributions
KW - Nonstationary signal analysis
KW - time-frequency distributions
KW - time-frequency distributions with complex-lag arguments
UR - https://www.scopus.com/pages/publications/84861898904
U2 - 10.1109/CECNet.2012.6201924
DO - 10.1109/CECNet.2012.6201924
M3 - 会议稿件
AN - SCOPUS:84861898904
SN - 9781457714153
T3 - 2012 2nd International Conference on Consumer Electronics, Communications and Networks, CECNet 2012 - Proceedings
SP - 1531
EP - 1535
BT - 2012 2nd International Conference on Consumer Electronics, Communications and Networks, CECNet 2012 - Proceedings
T2 - 2012 2nd International Conference on Consumer Electronics, Communications and Networks, CECNet 2012
Y2 - 21 April 2012 through 23 April 2012
ER -