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Pseudo-Noise (PN) Ranging Systems - CCSDS

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<strong>CCSDS</strong> INFORMATIONAL REPORT CONCERNING PSEUDO-NOISE RANGING SYSTEMS<br />

Table 2-8: Maximum Search versus Threshold Comparison Acquisition Procedure<br />

T2B Acquisition<br />

Time (s)<br />

T4B Acquisition<br />

Time (s)<br />

Maximum Search Threshold Comparison<br />

Ideal Processing<br />

No Quantization<br />

Ideal Processing<br />

No Quantization<br />

Ideal Processing<br />

3-bit<br />

Quantization<br />

Ideal Processing<br />

1-bit<br />

Quantization<br />

10.6 21.5 22.9 33.8<br />

Loss (dB) 3.1 3.4 5.1<br />

175.6 358.2 381.0 562.7<br />

Loss (dB) 3.1 3.4 5.1<br />

Clearly the impact due to one-bit quantization is around 2 dB when compared to the non-<br />

quantized case while three-bit soft quantization reduces this loss down to 0.3 dB only.<br />

2.5 ON-BOARD <strong>PN</strong> TRACKING JITTER<br />

2.5.1 SQUARE-SQUARE MATCHED CASE<br />

The <strong>PN</strong> ranging code resembles a square-wave with a few ‘errors’. Therefore the CTL can be<br />

simply designed by modifying a DTTL according to figure 2-13. The filtered loop error is<br />

added to the nominal chip rate and the result is used to control the NCO frequency. The<br />

ranging signal clock component is coherently related to the transmitted carrier frequency;<br />

therefore it is possible to apply an aided acquisition scheme for proper CTL synchronization.<br />

With this approach, the chip rate is obtained by adding the nominal chip rate to the carrier<br />

loop error scaled by the ratio of the ranging chip rate by the uplink carrier frequency. This<br />

second term offers an estimation of the Doppler on the ranging signal and allows improving<br />

the CTL acquisition performance because only the chip phase (not the frequency) must be<br />

recovered. The CTL NCO output frequency is used to drive the shift registers which generate<br />

the six code components in the Code Generator blocks.<br />

The signal at the CTL input is derived from the carrier quadrature channel and it can be<br />

expressed as:<br />

where:<br />

ts is the sampling interval;<br />

A is the amplitude of the chip;<br />

T = Tc is the chip period;<br />

() i = r(<br />

its<br />

) = A∑<br />

ak<br />

⋅ p(<br />

its<br />

− kT −τ<br />

) Ni<br />

r +<br />

k<br />

<strong>CCSDS</strong> 414.0-G-1 Page 2-27 March 2010

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