Title: Some Thoughts on L1CAL2C Derived TEC
1Some Thoughts on L1CA/L2C Derived TEC
Paul Kintner, Aug. 2009 Cornell University
2Required Precision
- C/A and C code chip period 1ms
- A/D cadence is 175 ns (digitization rate)
- 1 TECU produces differential code arrival time of
about 0.54 ns or 16 cm at L1 (10 ns 20 TECU) - A/D samples at 175 ns so 0.5 ns is tough
- 1 TECU produce differential phase of 0.28 cycle
- Fraction of a cycle is easy to measure (IQ
clouds) - Examine Ithaca data from two consecutive days
using Bradys C receiver and data from digital
storage receiver - Night of April 18 and 19, 2009 PRN 7
- Use L1CA and L2CL with 1 ms accumulations, DLL
updated every 1 ms and PLL updated every 10 ms
and PR and phase reported every 20 ms
3Measurement Precision
0.02 cycle
TIME
PHASE
4Effect of zero mean white noise on ranging
Early
Late
TCd
T accumulation time d fraction of chip
time C/N0 carrier-to-noise ratio TC chip time
about 1 msec
TC
TC
For C/N0 44dB, TC 1 msec, BWDLL0.3 Hz, d
1, then sDP 0.73 m or 4.5 TECU
5Time of Arrival (TOA) TEC
6Comparison between Day1 and Day2 TOA TEC
7Comparison of Day1 and Day2 TOA TEC
8Difference Day 1 with Day 2
sDTEC sqrt(2).73m9.52 TECU/m 9.8 TECU
(theoretical value from noise, neglecting
multipath)
9Comparison of Day1 and Day2 Phase TEC
10Some Multipath in Phase TEC
11Difference Phase TEC Day1 with Day2Is this real?
12Recursive Filter
Current measurement of TEC by D(dt)
Difference in consecutive measurements of TEC by
D(df)
Previous estimate of TEC
Current estimate of TEC
13TOA TEC with Recursive Filter