TY - JOUR
T1 - A Novel Signal Reconstruction Method Based on Linear Canonical Transform for the Nonuniform Sampling
AU - Xie, Yan An
AU - Li, Bing Zhao
N1 - Publisher Copyright:
© 2017, Editorial Department of Transaction of Beijing Institute of Technology. All right reserved.
PY - 2017/11/1
Y1 - 2017/11/1
N2 - A new kind of signal reconstruction method was proposed based on linear canonical transform (LCT) for the nonuniform sampling signal. Firstly, a new discrete LCT was defined according as the properties of periodic nonuniform sampling model. And then, the relationship between the discrete and the continuous LCT spectrum of the signal was derived, and a LCT field with this relationship was proposed based on the signal reconstruction arithmetic for the periodic nonuniform sampling. Finally, a simulation experiment was carried out with one-dimensional periodic nonuniform sampling signal to verify the correctness of the derived results. The simulation results show that the reconstructed signal is basically the same as the original signal.
AB - A new kind of signal reconstruction method was proposed based on linear canonical transform (LCT) for the nonuniform sampling signal. Firstly, a new discrete LCT was defined according as the properties of periodic nonuniform sampling model. And then, the relationship between the discrete and the continuous LCT spectrum of the signal was derived, and a LCT field with this relationship was proposed based on the signal reconstruction arithmetic for the periodic nonuniform sampling. Finally, a simulation experiment was carried out with one-dimensional periodic nonuniform sampling signal to verify the correctness of the derived results. The simulation results show that the reconstructed signal is basically the same as the original signal.
KW - Discrete linear canonical transform
KW - Linear canonical transform
KW - Periodic nonuniform sampling model
KW - Spectral reconstruction
UR - http://www.scopus.com/inward/record.url?scp=85039053046&partnerID=8YFLogxK
U2 - 10.15918/j.tbit1001-0645.2017.11.13
DO - 10.15918/j.tbit1001-0645.2017.11.13
M3 - Article
AN - SCOPUS:85039053046
SN - 1001-0645
VL - 37
SP - 1183
EP - 1189
JO - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
JF - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
IS - 11
ER -