Clipping noise estimation in uniform tone reservation scenario using OMP algorithm

Elimination of Noise Distortion for OFDM Systems by Compressed Sensing Based on Distance Metric

“…Therefore, in the ideal situation, the distance between signal point at the clipping position and the threshold is zero, while the distance between signal point at other positions and the threshold is greater than zero. Based on the principle, we propose a decision criterion in (19), which can obtain a rough estimate of the clipping position from the equalized signal at the receiver.…”

“…It can be known from (13) , affected by the channel noise , the distance between the signal point at the clipping position and the threshold is not zero, but the distance value will be smaller than that at other positions. According to this inequality in (19), we can eliminate some unclipped positions and get a rough estimation of clipped positions. At the receiver, we use the classical oarthogonal matching pursuit algorithm (OMP) to reconstruct the clipping noise where the sparsity K is calculated at the transmitter and transmitted to the receiver as the input value of the algorithm.…”

“…5) Return to step 2(t = t + 1) until the iteration terminates(t > K). To reduce the computational complexity of the OMP algorithm, as shown in Figure 3 and algorithm 1, we apply the set obtained in (19) to the inner product operations of OMP algorithm. As shown in line 2 of algorithm 1, in each iteration of the OMP algorithm, the OMP algorithm only performs inner product with the columns of the sensing matrix corresponding to the set .…”

“…In recent years, compressed sensing (CS) is a hot research frontier, which attracts attention on many application fields [18]. Due to the sparsity of clipping noise in the time domain, this theory can be used to reconstruct clipping noise at the receiver [19]- [24], [28]- [32]. In earlier studies, scholars use pilot or reserved subcarriers to recover the clipping noise [21], [23], but this would cause a waste of spectrum resources.…”

Shaping Code in Conjunction with DCT for PAPR Reduction in Multicarrier System

“…Various techniques have been proposed in the literature to mitigate the effect of this problem. Among them, we can cite methods like Clipping, Clipping and filtering [4][5] [6], Active Constellation Extension (ACE) [7] [8], Tone Reservation (TR) [6][9] [10] [11] [12], Selected Mapping (SLM) [13] [14], Switching [15], Coding methods [16], Partial Transmit Sequence (PTS) [8] [17] [18], Interleaving [19] [20] and Discrete Cosine Transform (DCT) [21] [22] [23] [24]. Those techniques can be classified into 3 types [25]: the adding signal techniques, the probabilistic techniques and the coding techniques.…”