Improved Atomic Norm Based Channel Estimation for Time-Varying Narrowband Leaked Channels

In this paper, improved channel gain delay estimation strategies are investigated when practical pulse shapes with finite block length and transmission bandwidth are employed. Pilot-aided channel estimation with an improved atomic norm based approach is proposed to promote the low rank structure of the channel. All the channel parameters, i.e., delays, Doppler shifts and channel gains are recovered. Design choices which ensure unique estimates of channel parameters for root-raised-cosine pulse shapes are examined. Furthermore, a perturbation analysis is conducted. Finally, numerical results verify the theoretical analysis and show performance improvements over the previously proposed method.