Compressive sensing-based channel estimation for high mobile systems with delay Doppler effects

At the other hand, the working principle of CS is to recover a sparse signal with limited number of measurements; hence, compressive sensing can be used to recover the required CIR [12], [13]. Since the idea behind spares wireless channels and signal sparsity appears, many publications in the field of compressive sensing and signal processing community were introduced. In [19], a single input multiple output single input multiple output orthogonal frequency division multiplexing (SIMO-OFDM) typical HST system was investigated to eliminate the inter carrier interference (ICI) of time variant channels, where CS is adopted with position based interference detection to recover the CIR by designing a pilot pattern. By using 90 pilots out of 512 subcarriers over a small-scale fading channel, the maximum speed provided was 140 Km/h at a BER performance of 7.8>