Bit Error Rate of Generalized Triangular QAM

Cho, Kyongkuk

doi:10.7840/kics.2014.39a.5.229

Cited by 2 publications

(3 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…TQAM, as compare to SQAM, is efficient in terms of performance and receiver detection complexity [18,19]. TQAM transmits even bits encoded data and due to its compact geometry, it performs better than SQAM [20]. In [21], an approximate SEP expression for TQAM was derived and also, In [22,23], an exact SEP expression was proposed and its performance evaluated over various fading channels in RF communication.…”

Section: Introductionmentioning

confidence: 99%

Moment-Based Analysis of Reg. Triangular QAM in Turbulent Atmospheric Channels with Pointing Errors incorporates Zero and Non-zero Boresight

Shahid¹,

Qureshi²,

Sheikh³

et al. 2020

Preprint

View full text Add to dashboard Cite

In recent years, free-space optical (FSO) technology has gained fame in communication systems due to its high data rates and license-free feature. Triangular quadrature amplitude modulation (TQAM) is an efficient modulation scheme that uses even bits per symbol, and it has a low average symbol error rate (ASER) than square quadrature amplitude modulation (SQAM). In this paper, we theoretically investigate the performance of subcarrier triangular quadrature amplitude modulation (SC-TQAM) corrupted by atmospheric turbulence in the presence of pointing errors (P.E) in FSO communications. We have considered boresight displacement, P.E effect, and atmospheric turbulence. To represent the atmospheric turbulence we consider Log-normal, Rayleigh and Rician distributions which exhibit weak, moderate and strong weather effects. The P.E is employed using Rayleigh and Rician distribution that incorporates zero and non-zero boresight displacement respectively. The moment generating functions of these models have been derived. P.E is modeled using an optical beam radius and receiver aperture radius. The combination of these parameters will help enhance the average symbol error rate (ASER). Furthermore, we have derived an analytical expression that is used to develop numerical results. The ASER performance is observed against average received irradiance, optical beam radius, P.E standard deviation and receiver aperture radius. In the end, the ASER performance is evaluated against SNR and Monte Carlo simulations are performed which validates the theoretical results.

show abstract

Section: Introductionmentioning

confidence: 99%

Moment-Based Analysis of Reg. Triangular QAM in Turbulent Atmospheric Channels with Pointing Errors incorporates Zero and Non-zero Boresight

Shahid¹,

Qureshi²,

Sheikh³

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…The key reason behind the efficiency of TQAM constellation is its compact geometry. In 2010, symbol error probability (SEP) of TQAM was evaluated by K. Cho, J. Lee, and D. Yoon for additive white Gaussian noise (AWGN) channel [8] and also, an approximation of SEP expression for TQAM was derived for AWGN and fading channels by T. T. DUY and H. Y. KONG [9], in which maximalratio combining (MRC) was used to analyze TQAM over Rayleigh fading channel with multipath reception. In [10], θ-QAM was introduced to incorporate SEP of SQAM and TQAM in a single analytical expression over AWGN and Nakagami-m channels; however, J. Lee et al [11] proved their work incorrect for higher modulation order and presented their own equations for exact SEP and bit error probability (BEP) over AWGN channel and also paved way for exact BEP over Rayleigh, Rician, and Nakagami-m channels.…”

Section: Introductionmentioning

confidence: 99%

“…Though an exact generalized mathematical SEP expression in the presence of AWGN channel is provided in [11], the mathematical model we provide in this article can be implemented easily when dealing with TQAM not only in AWGN, but also this model is extended to Rayleigh, Nakagami-m, Nakagami-n, and Nakagami-q channels. To the best of author's knowledge, generalized SEP expressions for fading channels incorporating diversity reception have not been presented before in [7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

SEP performance of triangular QAM with MRC spatial diversity over fading channels

Qureshi

Sheikh

Khan

et al. 2016

J Wireless Com Network

View full text Add to dashboard Cite

This paper presents the mathematical model for symbol error probability of triangular quadrature amplitude modulation in a single-input multi-output environment. The symbol error probability performance is evaluated over fading channels namely Rayleigh, Nakagami-m, Nakagami-n, and Nakagami-q. The maximal-ratio combining technique is considered as spatial diversity algorithm and unified moment-generating-function-based approach is applied to derive the results. The multiple channels considered are independent but not necessarily identically distributed. The results presented are valid for slow and frequency non-selective fading channels only. The symbol error probability expressions obtained contain single integrals with finite limits and integrand composed of elementary functions which help us evaluate our analytical expressions numerically. We also compare these expressions with the error performances obtained through computer simulation, which show excellent agreement. In addition, an example has been simulated to validate our derived mathematical expressions.

show abstract

Bit Error Rate of Generalized Triangular QAM

Cited by 2 publications

References 9 publications

Moment-Based Analysis of Reg. Triangular QAM in Turbulent Atmospheric Channels with Pointing Errors incorporates Zero and Non-zero Boresight

Moment-Based Analysis of Reg. Triangular QAM in Turbulent Atmospheric Channels with Pointing Errors incorporates Zero and Non-zero Boresight

SEP performance of triangular QAM with MRC spatial diversity over fading channels

Contact Info

Product

Resources

About