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Abstract
A finite oscillator dictionary which has important applications in sequences designs and the compressive sensing was introduced by Gurevich, Hadani, and Sochen in [Citation3]. In this paper, closed formulae of the finite split oscillator dictionary π s are revisited by a simple proof, the structure of nonsplit tori of the group SL(2, π½ p ) is studied, and an explicit algorithm for computing the finite nonsplit oscillator dictionary π ns is described.
ACKNOWLEDGMENT
Thanks to the referee for his/her suggestions on this paper.
Rongquan Feng's research was supported by National Natural Science Foundation of China (No. 10990011 and No. 61170264) and the research fund for the Doctoral Program of Higher Education of China. Zilong Wang's research was supported by NSFC, Tian Yuan Foundation (No. 11226074). Hongfeng Wu's research was supported by National Natural Science Foundation of China (No. 11101002 and No. 11271129), and Beijing Natural Science Foundation (No. 1132009).
Notes
Communicated by J. Zhang.