Mathematics in Geomatics Engineering: Application to Code Generation of GNNS Satellites

This work demonstrates a realistic application of mathematics in the Geomatics and engineering. Mathematics and engineering work together as they are right hand to each other because mathematics is the bone structure and engineering is the physical body. The Global Navigation Satellite System (GNSS) uses of satellites to provide autonomous Geo-spatial positioning. GNSS satellites continuously transmit signals at two or more frequencies. These signals contain Pseudorandom noise (PRN) codes and navigation data to allow users to compute both the travel time from the satellite to the receiver and the satellite coordinates at any time. The PRN codes are an important element of code division multiple access (CDMA) based satellite navigation systems. Each satellite within a GNSS constellation has a unique PRN code that it transmits as part of the C/A navigation message. This code allows any receiver to identify exactly which satellite(s) it is receiving. The PRN codes have special mathematical properties which allow all satellites to transmit at the same frequency without interfering with each other. These code also allow precise range measurements between satellite and user receivers. PRN codes generator contains two shift registers known as gold polynomials. In this research, PRN codes generation of GNNS Satellites using different polynomials is presented and discussed.