Error Probabilities for Determining Carrier Presence or Absence by FFT Algorithm

Xiaolu Fu, Osamu Arai and Tadao Hayashi

Abstract:	Recently, GPS based receiver sensors have been widely mounted in car navigation system and other civil consumer products. These applications demand that the receiver sensors have a low price and a high performance in time to first fix (TTFF). The wide-band-carrier search method based on the FFT makes a significant contribution toward these requirements due to a temperature compensation crystal oscillator (TCXO) with a frequency deviation of usually less than ± 2.5 ppm can be replaced by a low price clock crystal oscillator (CXO) with a frequency deviation in much wide range. The search method is a well-understood concept. However, the error probabilities for determining the carrier presence or absence must be clarified when the method is used in an actual receiver. The efforts of the research provide a mathematical model to calculate the error probabilities as the function of the ratio of signal to noise density (h). The validation of the theoretical calculations, at the output of each of the receiver hardware and software components, is proved by computer simulations. An example of the theoretical calculation is given at the end of this paper.
Published in:	Proceedings of the 10th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1997) September 16 - 19, 1997 Kansas City, MO
Pages:	627 - 635
Cite this article:	Fu, Xiaolu, Arai, Osamu, Hayashi, Tadao, "Error Probabilities for Determining Carrier Presence or Absence by FFT Algorithm," Proceedings of the 10th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1997), Kansas City, MO, September 1997, pp. 627-635.
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