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“…Replacing ( 37), ( 38), (39), and ( 40) into (36), we obtain the ASER of the considered N-WIPT-FDR system as (31). The proof is complete.…”

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“…Replacing ( 37), ( 38), (39), and ( 40) into (36), we obtain the ASER of the considered N-WIPT-FDR system as (31). The proof is complete.…”

“…Now, ( 34) is rewritten as (35), as shown at the bottom of the next page. For simplicity, we reorganize ( 35) as (36), as shown at the bottom of the next page. The first line of ( 36) is calculated by using [40, Eq.…”

“…We consider RF and hardware impairments, q T (t) and q R (t), at the transmitter and receiver chains, respectively. The combined influence of the impairments has been studied in [8] and used in many IBFDX works [9]. In particular, the x s (t) signal is distorted by q T (t), while the receiver chains are subjected to a q R (t) distortion, as represented in Fig.…”

“…The circularly-symmetric complex distribution is considered because it can effectively represent Orthogonal Frequency-Division Multiplexing systems with a high number of carriers. The transmitter and receiver impairments are defined as {Q T r , Q T j } ∼ N (0, κ 2 T ) and {Q R r , Q R j } ∼ N (0, κ 2 R |h| 2 ), respectively, with design parameters κ T , κ R ≥ 0, [8], [9]. Consequently, the aggregate effect of both transmitter and receiver impairments, q(t), can be then characterized by {Q r , Q j } ∼ N (0, κ 2 ) where κ = κ 2 T + κ 2 R represents the aggregate level of impairments, ([8], Lemma 1).…”

“…It is observed that the outage probability (OP) of the FD systems is saturated in a high signal-to-noise ratio (SNR) regime due to the effect of residual SI [11]- [14]. In addition, the ergodic capacity (EC) of the FD systems may be higher or lower than that of the HD systems [15]. This feature depends on residual SI and transmit SNR ranges.…”