### Abstract

The mathematical modeling on the mapping function models should be revised and also simplified to improve the calculation of the GPS tropospheric delay. The zenith tropospheric delay can be amplified by a coefficient factor called mapping function to form total tropospheric delay. There are many mapping functions have been established to calculate the scale factor which can affect the total tropospheric delay. Most of the modern models have separated mapping functions for the hydrostatic and the wet part. Recently, the developed tropospheric delay models use mapping functions in the form of continued fractions which is quite tedious in calculation. There are 26 mathematical operations for Neill Mapping Function (NMF) to be done before getting the mapping function scale factor. There is a need to simplify the mapping function models to allow faster calculation and also better understanding of the models. The mapping functions for NMF models for hydrostatic and wet components are given in a form of continued fraction, whereby the elevation angle is the variable. These mapping function models have been selected to be simplified, because of their ability to achieve mapping function scale factor, down to 3 degree of elevation angle.

Original language | English |
---|---|

Pages (from-to) | 95-107 |

Number of pages | 13 |

Journal | Malaysian Journal of Mathematical Sciences |

Volume | 3 |

Issue number | 1 |

Publication status | Published - 2009 |

### Fingerprint

### Keywords

- Mapping function
- Tropospheric
- Zenith

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Malaysian Journal of Mathematical Sciences*,

*3*(1), 95-107.

**Effect of GPS tropospheric delay Neill mapping function simplification.** / Sakidin, Hamzah; Abu Bakar, Mohd Rizam; Mohamed Shariff, Abdul Rashid; Md. Noorani, Mohd. Salmi; Matori, Abd Nasir; Mohamed, Azhari.

Research output: Contribution to journal › Article

*Malaysian Journal of Mathematical Sciences*, vol. 3, no. 1, pp. 95-107.

}

TY - JOUR

T1 - Effect of GPS tropospheric delay Neill mapping function simplification

AU - Sakidin, Hamzah

AU - Abu Bakar, Mohd Rizam

AU - Mohamed Shariff, Abdul Rashid

AU - Md. Noorani, Mohd. Salmi

AU - Matori, Abd Nasir

AU - Mohamed, Azhari

PY - 2009

Y1 - 2009

N2 - The mathematical modeling on the mapping function models should be revised and also simplified to improve the calculation of the GPS tropospheric delay. The zenith tropospheric delay can be amplified by a coefficient factor called mapping function to form total tropospheric delay. There are many mapping functions have been established to calculate the scale factor which can affect the total tropospheric delay. Most of the modern models have separated mapping functions for the hydrostatic and the wet part. Recently, the developed tropospheric delay models use mapping functions in the form of continued fractions which is quite tedious in calculation. There are 26 mathematical operations for Neill Mapping Function (NMF) to be done before getting the mapping function scale factor. There is a need to simplify the mapping function models to allow faster calculation and also better understanding of the models. The mapping functions for NMF models for hydrostatic and wet components are given in a form of continued fraction, whereby the elevation angle is the variable. These mapping function models have been selected to be simplified, because of their ability to achieve mapping function scale factor, down to 3 degree of elevation angle.

AB - The mathematical modeling on the mapping function models should be revised and also simplified to improve the calculation of the GPS tropospheric delay. The zenith tropospheric delay can be amplified by a coefficient factor called mapping function to form total tropospheric delay. There are many mapping functions have been established to calculate the scale factor which can affect the total tropospheric delay. Most of the modern models have separated mapping functions for the hydrostatic and the wet part. Recently, the developed tropospheric delay models use mapping functions in the form of continued fractions which is quite tedious in calculation. There are 26 mathematical operations for Neill Mapping Function (NMF) to be done before getting the mapping function scale factor. There is a need to simplify the mapping function models to allow faster calculation and also better understanding of the models. The mapping functions for NMF models for hydrostatic and wet components are given in a form of continued fraction, whereby the elevation angle is the variable. These mapping function models have been selected to be simplified, because of their ability to achieve mapping function scale factor, down to 3 degree of elevation angle.

KW - Mapping function

KW - Tropospheric

KW - Zenith

UR - http://www.scopus.com/inward/record.url?scp=70349225633&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70349225633&partnerID=8YFLogxK

M3 - Article

VL - 3

SP - 95

EP - 107

JO - Malaysian Journal of Mathematical Sciences

JF - Malaysian Journal of Mathematical Sciences

SN - 1823-8343

IS - 1

ER -