Improved model of process behavior detection and implementation

Characterization of error events and design of a robust receiver for PRACH detection

“…In fact, the ratio max 𝑘𝑘 𝑝𝑝𝑝𝑝𝑝𝑝(𝑘𝑘) /𝑚𝑚 𝑛𝑛 can be considered as an estimate of the peak SNR. The parameter β in (9), must be set to satisfy the 3GPP conformance requirements [6]. In particular, it is empirically computed to distinguish the low from the high SNR condition.…”

“…First, we found empirically the value of 𝛽𝛽 in (9). In fact, if ( 9) is verified in the considered searching window, the threshold is updated as:…”

“…2. In this step we follow the same approach as that proposed in [9], where a filtering operation is introduced if the peak value is greater than 𝑇𝑇 𝑑𝑑𝑠𝑠𝑡𝑡 . The filtering operation is done in the considered 𝑤𝑤𝑖𝑖𝑛𝑛𝑝𝑝𝑐𝑐𝑤𝑤 𝑘𝑘 with the goal of reducing the effect of the delay spread.…”

“…The filtering operation is done in the considered 𝑤𝑤𝑖𝑖𝑛𝑛𝑝𝑝𝑐𝑐𝑤𝑤 𝑘𝑘 with the goal of reducing the effect of the delay spread. To this aim, a moving average filter is applied [9]. As we can see in Figs.…”