By Kai Borre, Dennis M. Akos, Nicolaj Bertelsen, Peter Rinder, Søren Holdt Jensen
A good written ebook. Excessively concise. an excessive amount of fabric at the RF Front-end, while the most expectable concentration stands out as the base-band. The publication does, despite the fact that, serve its goal good.
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Extra info for A Software-Defined GPS and Galileo Receiver: A Single-Frequency Approach (Applied and Numerical Harmonic Analysis)
The sequence is pseudorandom, not random. Outside the correlation interval the ACF of p(t) is −1/N. 4. 15). 4) where ∗ denotes convolution. 5) m=0 for m = ±1, ±2, ±3, . . ; see Kaplan & Hegarty (2006), page 119. 5. The C/A code generator contains two shift registers known as G 1 and G 2 . These shift registers each 22 2. 4. Stem plot of an ACF for a Gold sequence. The left stem has correlation value 63 , −1 , or −65 . Only the ﬁrst 50 lags out r p (0) = 1; all other correlation values are 1023 1023 1023 of 1023 are shown.
The quantity |H ( f )| is called the amplitude response of the system, and the quantity arg(H ( f )) is called the phase response of the system. The magnitude response is often expressed in decibels (dB) using the deﬁnition H( f ) dB = 20 log10 H ( f ) . , H ( f ) = H ∗(− f ). If the input and output signals are expressed in terms of power spectral density, then the input–output relation is given by 2 Sy ( f ) = H ( f ) Sx ( f ). The equations above show that an LTI system acts as a ﬁlter. Filters can be classiﬁed into lowpass, bandpass, and highpass ﬁlters and they are often characterized by stopbands, passband, and half-power (3 dB) bandwidth.
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. 12) 40 3. 5. ACF for the BOC( pn, n) signal as function of delay τ and p. and the sine integral is deﬁned as x Si(x) = 0 sin(y) d y. 5 for n = 1, 2, 4. The BOC ACF proﬁle results in a DLL discriminator curve that is a bit more complicated than that of GPS. 6 shows the ideal band-unlimited correlation function for both a C/A code signal and a BOC(1,1) signal.
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