TY - GEN
T1 - Spectral compressed sensing of real spikes
AU - Yang, Zai
AU - Xie, Lihua
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/12/16
Y1 - 2016/12/16
N2 - This paper studies the reconstruction of a stream of real spikes, which has usually been studied in the context of finite rate of innovation (FRI), from compressive Fourier measurements. Two gridless sparse methods are proposed based on atomic norm and Toeplitz matrix completion, respectively, which are more precise results of and enjoy theoretical guarantees of their existing counterparts for line spectral estimation. Our analysis shows that atomic norm can better preserve signal structures and produce easy-to-interpret results. Numerical simulations suggest that Toeplitz matrix completion has higher resolution. The obtained results also shed light on the case of line spectral estimation.
AB - This paper studies the reconstruction of a stream of real spikes, which has usually been studied in the context of finite rate of innovation (FRI), from compressive Fourier measurements. Two gridless sparse methods are proposed based on atomic norm and Toeplitz matrix completion, respectively, which are more precise results of and enjoy theoretical guarantees of their existing counterparts for line spectral estimation. Our analysis shows that atomic norm can better preserve signal structures and produce easy-to-interpret results. Numerical simulations suggest that Toeplitz matrix completion has higher resolution. The obtained results also shed light on the case of line spectral estimation.
UR - https://www.scopus.com/pages/publications/85011048628
U2 - 10.1109/ICUWB.2016.7790381
DO - 10.1109/ICUWB.2016.7790381
M3 - 会议稿件
AN - SCOPUS:85011048628
T3 - 2016 IEEE International Conference on Ubiquitous Wireless Broadband, ICUWB 2016
BT - 2016 IEEE International Conference on Ubiquitous Wireless Broadband, ICUWB 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 16th IEEE International Conference on Ubiquitous Wireless Broadband, ICUWB 2016
Y2 - 16 October 2016 through 19 October 2016
ER -