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Research on the GPS acquisition algorithm based on radix-2 FFT

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Abstract

Several GPS acquisition algorithms are discussed,in order to solve the problem of the point of FFT is not the power of 2,the limitation of zero padded method and interpolation method are analysed,and a new acquisition algorithm based on radix-2 FFT is presented,circular correlation is accomplished using radix-2 FFT by padding zero to both sampled data and local reference code,and the new length is larger than the double of original length,from theoretical analysis and simulation,it is shown that the result of this new algorithm is equal to the result of circular correlation where the point is not the power of 2.

About this research paper

What this paper is about

Several GPS acquisition algorithms are discussed,in order to solve the problem of the point of FFT is not the power of 2,the limitation of zero padded method and interpolation method are analysed,and a new acquisition algorithm based on radix-2 FFT is presented,circular correlation is accomplished using radix-2 FFT by padding zero to both sampled data and local reference code,and the new length is larger than the double of original length,from theoretical analysis and simulation,it is shown that the result of this new algorithm is equal to the result of circular correlation where the point is not the power of 2.

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Available abstract

Several GPS acquisition algorithms are discussed,in order to solve the problem of the point of FFT is not the power of 2,the limitation of zero padded method and interpolation method are analysed,and a new acquisition algorithm based on radix-2 FFT is presented,circular correlation is accomplished using radix-2 FFT by padding zero to both sampled data and local reference code,and the new length is larger than the double of original length,from theoretical analysis and simulation,it is shown that the result of this new algorithm is equal to the result of circular correlation where the point is not the power of 2.

Key concepts: Fast Fourier transform, Computer science, Algorithm, Interpolation (computer graphics), Global Positioning System, Radix (gastropod), Point (geometry), Code (set theory)

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