SEP Bounds for MPSK With Low SNR

Rugini, Luca

doi:10.1109/lcomm.2020.3012837

Cited by 9 publications

(2 citation statements)

References 23 publications

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“…The closed expression is then calculated for each of these three components. The

(

, for

= 1) for

2 can be approximated to a simpler form in [ 12 , 20 ] as

where

, and

is the total energy of one symbol. The

and

, for

.…”

Section: Closed Expression Over Multipath Rayleigh Fading Channelsmentioning

confidence: 99%

Closed-Form Expressions of Upper Bound for Polarization-MDCSK System

Miao,

Wang,

2023

Entropy

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The performance analysis of polarization M-ary differential chaos shift keying (P-MDCSK) has been expressed using a tight upper bound with the Q-function. However, evaluating the Q-function directly is not a closed expression and there has been less work on closed expression for the upper bound. In order to solve the problem, this paper presents approximate closed-form expressions on the error probability of P-MDCSK. This expression is derived by employing a polynomial approximation of the Q-function. These closed-form expressions are verified through simulations conducted under both additive white Gaussian noise (AWGN) and multipath Rayleigh fading channels. The simulation results reveal that there exists only a negligible gap between the simulations and the derived closed-form expressions. For example, it is observed that the theoretical approximate closed-form expressions exhibit a marginal deviation of approximately 0.4 dB from the simulations when the bit error rate (BER) reaches 10−4. Although the proposed method can only give approximate closed-form expressions of the upper bound, it provides an effective method for other communication schemes where the exact BER closed-form formula cannot be obtained.

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“…The closed expression is then calculated for each of these three components. The

(

, for

= 1) for

2 can be approximated to a simpler form in [ 12 , 20 ] as

where

, and

is the total energy of one symbol. The

and

, for

.…”

Section: Closed Expression Over Multipath Rayleigh Fading Channelsmentioning

confidence: 99%

Closed-Form Expressions of Upper Bound for Polarization-MDCSK System

Miao,

Wang,

2023

Entropy

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show abstract

“…Obviously, deriving accurate bounds or approximations for the AEP is strongly depending on the EP's ones. To this end, several EP's bounds and approximations for the EP are proposed in the literature, for instance, in [16]- [19], numerous bounds for the symbol error probability (SEP) in the case of M -ary PSK modulation are derived in terms of GQF and its powers. Such a function is itself mathematically intractable when involved in complicated integrals resulting from generalized fading distributions.…”

Section: Introductionmentioning

confidence: 99%