System and method for fast code phase and carrier frequency acquisition in GPS receiver
View Patent ↗A GPS receiver acquires carrier frequency and Gold code phase using short segments of a received GPS signal. In one embodiment, a 1-ms segment of the GPS signal is transformed to the frequency domain. This is multiplied by a frequency representation of the Gold code. The resulting product is converted to the time domain, and a peak is detected. The location of the peak corresponds to the code phase. If no peak is located, the carrier frequency is changed. Full- and half-bin steps in carrier frequency are considered. Processing gain is achieved by using longer segments of the input signal, for example 4 or 16 ms and integrating 1-ms segments. Considerations are provided for compensating for the effects of a transition, should it occur in the short segment of the GPS signal being processed. Integrations can be performed using non-coherent and coherent techniques. Adjustments are made for non-integral millisecond segment lengths.
1. A method for detecting code phase in a GPS signal, comprising:
collecting a multiple millisecond portion of a GPS signal in a GPS receiver;
partitioning the multiple millisecond portion of the GPS signal into a plurality of one millisecond segments;
converting each of the one millisecond segments to the frequency domain;
multiplying each of the converted one millisecond segments by a frequency domain representation of a Gold code corresponding to a GPS satellite to generate a plurality of products;
converting each of the plurality of products to the time domain to obtain convolution signals between each one millisecond segment and the Gold code; and
combining said convolution signals to determine a correlation peak that is reflective of a code phase of the GPS signal, wherein at least one of said convolution signals has been multiplied by a complex exponential to compensate for a frequency difference between an input signal and an estimated carrier frequency.
2. The method of claim 1 , wherein said combining comprises determining a magnitude of each convolution signal and summing said determined magnitudes.
3. The method of claim 1 , further comprising comparing points in said combination to a peak threshold.
4. The method of claim 1 , further comprising pre-computing said frequency representation of said Gold code.
5. A method for detecting code phase in a GPS signal, comprising:
partitioning a multiple millisecond portion of a GPS signal into a plurality of one millisecond segments;
generating a plurality of products, each product representing a multiplication of a frequency domain representation of a one millisecond segment of the GPS signal with a frequency domain representation of a Gold code corresponding to a GPS satellite that produced the GPS signal;
converting each of the plurality of products to the time domain to obtain convolution signals between each one millisecond segment of the GPS signal and the Gold code; and
combining said convolution signals to determine a correlation peak that is reflective of a code phase of the GPS signal, wherein at least one of said convolution signals has been multiplied by a complex exponential to compensate for a frequency difference between an input signal and an estimated carrier frequency.
6. The method of claim 5 , wherein said combining comprises determining a magnitude of each convolution signal and summing said determined magnitudes.
7. The method of claim 5 , further comprising comparing points in said combination to a peak threshold.
8. The method of claim 5 , further comprising pre-computing said frequency representation of said Gold code.
9. The method of claim 5 , further comprising generating a frequency domain representation using a Fast Fourier Transform.
10. The method of claim 5 , further comprising generating a time domain representation using an inverse Fast Fourier Transform.
11. A non-transitory computer-readable medium that stores a program for controlling a computer device to perform a method for detecting code phase in a GPS signal, the method comprising:
partitioning a multiple millisecond portion of a GPS signal into a plurality of one millisecond segments;
generating a plurality of products, each product representing a multiplication of a frequency domain representation of a one millisecond segment of the GPS signal with a frequency domain representation of a Gold code corresponding to a GPS satellite that produced the GPS signal;
converting each of the plurality of products to the time domain to obtain convolution signals between each one millisecond segment of the GPS signal and the Gold code; and
combining said convolution signals to determine a correlation peak that is reflective of a code phase of the GPS signal, wherein at least one of said convolution signals has been multiplied by a complex exponential to compensate for a frequency difference between an input signal and an estimated carrier frequency.
12. The non-transitory computer readable medium of claim 11 , wherein said combining comprises determining a magnitude of each convolution signal and summing said determined magnitudes.
13. The non-transitory computer readable medium of claim 11 , wherein the method further comprises comparing points in said combination to a peak threshold.
14. The non-transitory computer readable medium of claim 11 , wherein the method further comprises pre-computing said frequency representation of said Gold code.
15. The non-transitory computer readable medium of claim 11 , wherein the method further comprises generating a frequency domain representation using a Fast Fourier Transform.
16. The non-transitory computer readable medium of claim 11 , wherein the method further comprises generating a time domain representation using an inverse Fast Fourier Transform.