A Novel Approximation for K Distribution: Closed-Form BER Using DPSK Modulation in Free-Space Optical Communication
A new analytical approximate expression for <italic>K</italic> distribution is proposed by expanding it in terms of orthogonal associated Laguerre polynomial. The expansion is truncated after first three terms, which yields a fairly close approximation to <italic>K</italic> d...
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IEEE
2017-01-01
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| Series: | IEEE Photonics Journal |
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| Online Access: | https://ieeexplore.ieee.org/document/8030039/ |
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| author | Rajeev Kumar Singh Karmeshu Santosh Kumar |
| author_facet | Rajeev Kumar Singh Karmeshu Santosh Kumar |
| author_sort | Rajeev Kumar Singh |
| collection | DOAJ |
| description | A new analytical approximate expression for <italic>K</italic> distribution is proposed by expanding it in terms of orthogonal associated Laguerre polynomial. The expansion is truncated after first three terms, which yields a fairly close approximation to <italic>K</italic> distribution. The advantage of the proposed approximation is that the analytical closed form expression for bit error rate can be easily derived. KL measure is used to show the accuracy of the proposed approximation. The proposed approximate probability density function and bit error rate work well within the desired range of the channel parameter <inline-formula><tex-math notation="LaTeX">$\alpha$</tex-math> </inline-formula>, which is <inline-formula><tex-math notation="LaTeX">$1 < \alpha < 2$</tex-math> </inline-formula> and corresponds to the scintillation index value ranging from 2 to 3. We have also demonstrated the utility of our approximation for other quality of service metric such as fade probability. |
| format | Article |
| id | doaj-art-3338cb1ac4584d15979c293340f05e0f |
| institution | DOAJ |
| issn | 1943-0655 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Photonics Journal |
| spelling | doaj-art-3338cb1ac4584d15979c293340f05e0f2025-08-20T02:44:40ZengIEEEIEEE Photonics Journal1943-06552017-01-019511410.1109/JPHOT.2017.27467638030039A Novel Approximation for K Distribution: Closed-Form BER Using DPSK Modulation in Free-Space Optical CommunicationRajeev Kumar Singh0 Karmeshu1Santosh Kumar2Jawaharlal Nehru University, New Delhi, IndiaJawaharlal Nehru University, New Delhi, IndiaShiv Nadar University, Greater Noida, IndiaA new analytical approximate expression for <italic>K</italic> distribution is proposed by expanding it in terms of orthogonal associated Laguerre polynomial. The expansion is truncated after first three terms, which yields a fairly close approximation to <italic>K</italic> distribution. The advantage of the proposed approximation is that the analytical closed form expression for bit error rate can be easily derived. KL measure is used to show the accuracy of the proposed approximation. The proposed approximate probability density function and bit error rate work well within the desired range of the channel parameter <inline-formula><tex-math notation="LaTeX">$\alpha$</tex-math> </inline-formula>, which is <inline-formula><tex-math notation="LaTeX">$1 < \alpha < 2$</tex-math> </inline-formula> and corresponds to the scintillation index value ranging from 2 to 3. We have also demonstrated the utility of our approximation for other quality of service metric such as fade probability.https://ieeexplore.ieee.org/document/8030039/<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">K</italic> distributionorthogonal polynomialsassociated Laguerre polynomialsDPSKBERfade probability. |
| spellingShingle | Rajeev Kumar Singh Karmeshu Santosh Kumar A Novel Approximation for K Distribution: Closed-Form BER Using DPSK Modulation in Free-Space Optical Communication IEEE Photonics Journal <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">K</italic> distribution orthogonal polynomials associated Laguerre polynomials DPSK BER fade probability. |
| title | A Novel Approximation for K Distribution: Closed-Form BER Using DPSK Modulation in Free-Space Optical Communication |
| title_full | A Novel Approximation for K Distribution: Closed-Form BER Using DPSK Modulation in Free-Space Optical Communication |
| title_fullStr | A Novel Approximation for K Distribution: Closed-Form BER Using DPSK Modulation in Free-Space Optical Communication |
| title_full_unstemmed | A Novel Approximation for K Distribution: Closed-Form BER Using DPSK Modulation in Free-Space Optical Communication |
| title_short | A Novel Approximation for K Distribution: Closed-Form BER Using DPSK Modulation in Free-Space Optical Communication |
| title_sort | novel approximation for k distribution closed form ber using dpsk modulation in free space optical communication |
| topic | <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">K</italic> distribution orthogonal polynomials associated Laguerre polynomials DPSK BER fade probability. |
| url | https://ieeexplore.ieee.org/document/8030039/ |
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