TY - GEN
T1 - Signal approximation with Pascal's triangle and sampling
AU - Chen, Lei
AU - Yu, Xinghuo
AU - Lü, Jinhu
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/8
Y1 - 2020/8
N2 - This brief explores the approximation properties of a unique basis expansion based on Pascal's triangle, which realizes a sampled-data driven approach between a continuous-time signal and its discrete-time representation. The roles of certain parameters, such as sampling time interval or model order, and signal characteristics, i.e., its curvature, on the approximation are investigated. Approximate errors in one and multiple-step predictions are analyzed. Furthermore, time-variant approximations under the thresholds of signal curvature are employed to narrow errors and provide flexibilities.
AB - This brief explores the approximation properties of a unique basis expansion based on Pascal's triangle, which realizes a sampled-data driven approach between a continuous-time signal and its discrete-time representation. The roles of certain parameters, such as sampling time interval or model order, and signal characteristics, i.e., its curvature, on the approximation are investigated. Approximate errors in one and multiple-step predictions are analyzed. Furthermore, time-variant approximations under the thresholds of signal curvature are employed to narrow errors and provide flexibilities.
KW - Discretization
KW - Sampling
KW - Signal approximation
UR - https://www.scopus.com/pages/publications/85091571644
U2 - 10.1109/CCDC49329.2020.9164011
DO - 10.1109/CCDC49329.2020.9164011
M3 - 会议稿件
AN - SCOPUS:85091571644
T3 - Proceedings of the 32nd Chinese Control and Decision Conference, CCDC 2020
SP - 1571
EP - 1575
BT - Proceedings of the 32nd Chinese Control and Decision Conference, CCDC 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 32nd Chinese Control and Decision Conference, CCDC 2020
Y2 - 22 August 2020 through 24 August 2020
ER -