By Kai Borre, Dennis M. Akos, Nicolaj Bertelsen, Peter Rinder, Søren Holdt Jensen
A good written publication. Excessively concise. an excessive amount of fabric at the RF Front-end, whilst the most expectable concentration stands out as the base-band. The publication does, despite the fact that, serve its objective good.
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Extra info for A Software-Defined GPS and Galileo Receiver: A Single-Frequency Approach (Applied and Numerical Harmonic Analysis)
These properties are described now. The two important correlation properties of the C/A codes can be stated as follows: Nearly no cross correlation All the C/A codes are nearly uncorrelated with each other. That is, for two codes C i and C k for satellites i and k, the cross correlation can be written as 1022 rik (m) = C i (l)C k (l + m) ≈ 0 for all m. 8) l=0 Nearly no correlation except for zero lag All C/A are nearly uncorrelated with themselves, except for zero lag. This property makes it easy to ﬁnd out when two similar codes are perfectly aligned.
2 Cyclic Redundancy Check The CRC algorithm accepts a binary data frame, corresponding to a polynomial M, and appends a checksum of r bits, corresponding to a polynomial C. 9. Ordering principle for data. The concatenation of the input frame and the checksum then corresponds to the polynomial T = M x r + C since multiplying by x r corresponds to shifting the input frame r bits to the left. The algorithm chooses the checksum C such that T is divisible by a predeﬁned polynomial P of degree r , called the generator polynomial.
GPS C/A and Galileo BOC(1,1) sharing L1 spectrum. 42 MHz. If one of the output values of these so-called very early and very late correlators is higher than the punctual correlation, the channel is tracking a side peak and corrective action is taken. According to Nunes & Sousa & Leitão (2004), the ACF for BOC( pn, n) with | is given as p = 1, 2, . . and k = 2 p|τ Tc r (τ ) = (−1)k+1 1 2 p (−k + 2kp + k − p) − (4 p − 2k + 1) |τTc| , for |τ | ≤ Tc , 0, otherwise. 5. For p = 1 this is (−1)k+1 −k 2 + 3k − 1 − (5 − 2k) |τTc| , for |τ | ≤ Tc , r (τ ) = 0, otherwise.
A Software-Defined GPS and Galileo Receiver: A Single-Frequency Approach (Applied and Numerical Harmonic Analysis) by Kai Borre, Dennis M. Akos, Nicolaj Bertelsen, Peter Rinder, Søren Holdt Jensen