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Correlation-based techniques used for frame synchronization can suffersignificant performance degradation over multi-path frequency-selectivechannels. In this paper, we propose a joint frame synchronization and channelestimation (JFSCE) framework as a remedy to this problem. This framework,however, increases the size of the resulting combined channel vector whichshould capture both the channel impulse response (CIR) vector and the frameboundary offset and, therefore, its estimation becomes more challenging. On theother hand, because the combined channel vector is sparse, sparse channelestimation methods can be applied. We propose several JFSCE methods usingpopular sparse signal recovery (SSR) algorithms which exploit the sparsity ofthe combined channel vector. Subsequently, the sparse channel vector estimateis used to design a sparse equalizer. Our simulation results and experimentalmeasurements using software defined radios (SDRs) show that in some scenariosour proposed method improves the overall system performance significantly, interms of the mean square error (MSE) between the transmitted and the equalizedsymbols compared to the conventional method.

Joint Frame Synchronization and Channel Estimation: Sparse Recovery Approach and USRP Implementation