Envelope probability density function of the sum of signal, noise and interference

Kostić, I.M.

doi:10.1049/el:19780329

Cited by 7 publications

(11 citation statements)

References 1 publication

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“…To provide a mathematically convenient tool for TWDP performance evaluation, alternative exact envelope PDF and CDF expressions are proposed. Namely, it is noticed that assumptions about statistical characteristics of a complex envelope in a TWDP fading channel given in (1) are the same as those from [30,31] where the sum of signal, cochannel interference, and AWGN is modeled. However, unlike the existing approximate TWDP PDF and CDF expressions, PDF and CDF in [30,31] are given in the exact form.…”

Section: Envelope Pdf and Cdf Expressionsmentioning

confidence: 99%

“…Namely, it is noticed that assumptions about statistical characteristics of a complex envelope in a TWDP fading channel given in (1) are the same as those from [30,31] where the sum of signal, cochannel interference, and AWGN is modeled. However, unlike the existing approximate TWDP PDF and CDF expressions, PDF and CDF in [30,31] are given in the exact form. Accordingly, using ( [30], Equation ( 6)) and ( [31], Equation ( 12)) and considering adopted parameterization, we propose the following TWDP envelope PDF and CDF expressions:…”

Section: Envelope Pdf and Cdf Expressionsmentioning

confidence: 99%

“…However, unlike the existing approximate TWDP PDF and CDF expressions, PDF and CDF in [30,31] are given in the exact form. Accordingly, using ( [30], Equation ( 6)) and ( [31], Equation ( 12)) and considering adopted parameterization, we propose the following TWDP envelope PDF and CDF expressions:…”

Section: Envelope Pdf and Cdf Expressionsmentioning

confidence: 99%

“…We introduced the exact convergent infinite-series TWDP envelope PDF and CDF expressions (previously derived in [30,31]).…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

An Alternative Statistical Characterization of TWDP Fading Model

Maric

Kaljić

Njemčević

2021

Sensors

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Two-wave with diffuse power (TWDP) is one of the most promising models for the description of small-scale fading effects in 5G networks, which employs mmWave band, and in wireless sensor networks deployed in different cavity environments. However, its current statistical characterization has several fundamental issues. Primarily, conventional TWDP parameterization is not in accordance with the model’s underlying physical mechanisms. In addition, available TWDP expressions for PDF, CDF, and MGF are given either in integral or approximate forms, or as mathematically untractable closed-form expressions. Consequently, the existing TWDP statistical characterization does not allow accurate evaluation of system performance in all fading conditions for most modulation and diversity techniques. In this regard, physically justified TWDP parameterization is proposed and used for further calculations. Additionally, exact infinite-series PDF and CDF are introduced. Based on these expressions, the exact MGF of the SNR is derived in a form suitable for mathematical manipulations. The applicability of the proposed MGF for derivation of the exact average symbol error probability (ASEP) is demonstrated with the example of M-ary PSK modulation. The derived M-ary PSK ASEP expression is further simplified for large SNR values in order to obtain a closed-form asymptotic ASEP, which is shown to be applicable for SNR > 20 dB. All proposed expressions are verified by Monte Carlo simulation in a variety of TWDP fading conditions.

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Section: Envelope Pdf and Cdf Expressionsmentioning

confidence: 99%

Section: Envelope Pdf and Cdf Expressionsmentioning

confidence: 99%

Section: Envelope Pdf and Cdf Expressionsmentioning

confidence: 99%

“…We introduced the exact convergent infinite-series TWDP envelope PDF and CDF expressions (previously derived in [30,31]).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An Alternative Statistical Characterization of TWDP Fading Model

Maric

Kaljić

Njemčević

2021

Sensors

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show abstract

“…So, considering adopted parameterization and the overall model's assumptions, TWDP fading is properly described by its envelope PDF recently obtained in [8] based on [26], as the exact infinite-series expression:…”

Section: Twdp Fading Modelmentioning

confidence: 99%

Error performance analysis of different modulations over TWDP fading channel

Maric,

Njemcevic

2021

Preprint

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Two-wave with diffuse power (TWDP) is one of the most promising distribution for description of a small-scale fading in the emerging mmWave band. However, traditional error performance analysis in these channels faces two fundamental issues. It is mostly based on conventional TWDP parameterization which is not in accordance with the model's underlying physical mechanisms and which hinders accurate observation of the impact of a model parameters on a system's performance metrics. In addition, the existing average bit/symbol error probability (ABEP/ASEP) expressions for most modulations and diversity schemes are available as approximations, which are accurate only for specific combinations of TWDP parameters. Accordingly, in this paper, the exact ASEP expressions are derived for M-ary rectangular quadrature amplitude modulation (RQAM) with coherent detection and for M-ary DPSK modulation, and are given in terms of physically justified parameters. Besides, in order to relax computational complexity of proposed exact ASEPs in high signal-to-noise ratio (SNR) region, their asymptotic counterparts are derived as the simple closed-form expressions, matching the exact ones for SNR>30dB.Results are verified by Monte-Carlo simulation.

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Performance analysis of M-ary RQAM and M-ary DPSK receivers over the channels with TWDP fading

Maric,

Njemcevic

2024

Wireless Netw

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Envelope probability density function of the sum of signal, noise and interference

Cited by 7 publications

References 1 publication

An Alternative Statistical Characterization of TWDP Fading Model

An Alternative Statistical Characterization of TWDP Fading Model

Error performance analysis of different modulations over TWDP fading channel

Performance analysis of M-ary RQAM and M-ary DPSK receivers over the channels with TWDP fading

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