Global Positioning System Reference
In-Depth Information
section 1
section 2
Input data 500 points
FFT
Frequency domain
Keep first 250 points
Keep first 125 points
Multiply
Keep first 250 points and take complex conjugate
Frequency domain
FFT
C/A code 500 points
section 1
zeros
FIGURE 12.5 Operation of 250-point C/A code and 500 input data.
The C/A code only has values in the first half, since the second half of the C/A
code is padded with zero. Therefore the output only has information in the first
half. Thus, in all, only 125 points of data are kept.
In effect, one uses 250 points of C/A code to generate 125 points of output
data. This is equivalent to sliding 250 points of the C/A code over the input data
in two-point steps. At each step the C/A multiplies the input data, which are
summed into one point.
The same operation is performed on the rest of the input data (the remaining
199 sections), as shown in Figure 12.6. In this figure, section 1 of C/A code
is correlated with sections 1 and 2 of the input signal. Section 2 of C/A code
section 1
section 2
section 3
section k
section 200
250 pts
Input signal in time domain
section 1
section 2
section 3
section k
section 200
C/A code
125 pt
125 pt
125 pt
125 pt
125 pt
1
2
3
200
FIGURE 12.6 Correlation of the first 250 points of the input and the C/A code.
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