On Generalized Signal Waveforms for Satellite Navigation (797942), страница 3
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1144.5.5.1.1 ACF of 8-PSK Offset Carrier in sine phasing... 1154.5.5.2 8-PSK Offset Carrier in cosine phasing or 8-PSK BOCcos(fs, fc).............................................................................................. 1174.5.5.2.1 ACF of 8-PSK Offset Carrier in cosine phasing1184.5.6m-PSK Coded Symbols (m-PSK CS) ................................................ 122CBCS Modulation definition and analysis of performance .............................. 1234.6.1CBCS Time Domain Representation and Spectrum ..........................
1244.6.2CBCS([1,-1,1,-1,1,-1,1,-1,1,1], 1, 20 %)............................................ 1304.6.3CBCS Power Spectral Density........................................................... 1324.6.4CBCS Positioning Performance ......................................................... 1334.6.5CBCS Interference Performance........................................................ 1374.6.6Receiver Options for CBCS ............................................................... 1384.6.7Drawbacks of the CBCS solution.......................................................
1394.6.7.1 CBCS Cross-Correlation Bias.............................................. 1394.6.7.2 CBCS Satellite Transmission Filter ..................................... 140MBOC modulation definition and analysis....................................................... 1414.7.1Implementing MBOC......................................................................... 1434.7.2On MBOC and Antisymmetric sequences ......................................... 1444.7.3CBOC Implementation....................................................................... 1474.7.4TMBOC Implementation ................................................................... 1484.7.5Optimal Tracking of CBOC ...............................................................
1504.7.5.1 False Tracking Points........................................................... 1524.7.5.2 Thermal Noise-Induced Code Tracking Error ..................... 1524.7.5.3 Multipath Induced Tracking Error ....................................... 1544.7.5.4 Conclusions on Optimal CBOC Tracking ........................... 1554.7.6Suboptimal Tracking of CBOC: TMBOC like approach................... 1564.7.7MBOC Tracking Sensitivity............................................................... 1584.7.7.1 Code Tracking Sensitivity.................................................... 1584.7.7.2 Effect of longer integrations on code tracking sensitivity ...
1594.7.7.3 Signal structure and DLL code tracking error...................... 1614.7.7.4 Signal structure and DLL sensitivity.................................... 1654.7.8MBOC Interference with other GNSSes............................................ 172Other Modulation Schemes ............................................................................... 1744.8.1AltBOC Modulation...........................................................................
1744.8.2Square-Root Raised Cosine Signals (SRRC) ..................................... 1784.8.3Prolate Spheroidal Wave Functions (PSWF) ..................................... 1824.8.4Faded Harmonics (FH) Interplex Modulation.................................... 185ivTable of Contents5.Spectral Separation Coefficient (SSC) ...................................................................... 1915.1Definition ..........................................................................................................
1915.1.1SSC between two QPSK signals ........................................................ 1955.2Derivation of analytical expressions ................................................................. 1955.2.1SSC between two generic BCS signals .............................................. 1965.2.2SSC between a generic BCS signal and the M-Code.........................
1965.2.35.2.45.2.55.2.65.2.75.2.8Self SSC of a generic BCS signal ...................................................... 198SSC between a generic BCS signal and a sine-phased BOC signal... 199SSC between a generic BCS signal and a cosine-phased BOC signal199SSC between a generic BCS signal and BPSK .................................. 200MBOC Theoretical SSCs ................................................................... 200Analytical Power of a generic BCS signal in a given Bandwidth βr . 2015.2.9Efficiency Parameters ........................................................................ 2026.Spectral Separation Coefficients with data and non ideal codes ............................
2136.1Analytical expressions when data is present ..................................................... 2136.2Computation of non-ideal Spectral Separation Coefficients............................. 2176.2.1Spectral Separation Coefficients for quasi ideal codes ...................... 2276.2.1.1 Signal Model with ideal codes ............................................. 2276.2.1.2 Even Autocorrelation Function of Quasi Ideal Codes .........
2306.2.1.3 Odd Autocorrelation Function of Quasi Ideal Codes........... 2346.2.1.4 Combined Spreading Waveform PSD ................................. 2396.2.2Spectral Separation coefficients for short PRN codes ....................... 2396.2.3Final comments on the SSCs.............................................................. 2447.Signal Multiplex Techniques for GNSS .................................................................... 2477.1Introduction ....................................................................................................... 2477.2Multiplexing Schemes.......................................................................................
2487.3Linear Modulation (Spatial Combining) ........................................................... 2497.3.1Tri-code Hexaphase Modulation........................................................ 2507.4Majority Signal Voting...................................................................................... 2527.4.1History of Majority Voting ................................................................ 2527.4.2Definition of Majority Voting ............................................................ 2547.4.3Theory on Majority Voting ................................................................
2547.4.4Majority Voting: Scalar Combination with Uniform Weighting ....... 2557.4.5Majority Voting: Scalar Combination with Non-Uniform Weighting2597.4.6Generalized Majority Voting (GMV): Cyclostationary Solutions.... 2677.4.7Generalized Majority Voting (GMV): Sub-Majority Voting............. 2687.5Hard Limiting.................................................................................................... 2717.6Quadrature Product Sub-carrier Modulation..................................................... 271vTable of Contents7.77.87.9Coherent Adaptive Sub-Carrier Modulation (CASM) and Interplex................
2737.7.1Origins of CASM and Interplex ......................................................... 2737.7.2CASM, Interplex and Modified Tri-Code Hexaphase ....................... 2747.7.3Single Sinewave Sub-carrier CASM.................................................. 2817.7.4Generalization to any number of Sub-carriers ................................... 2827.7.5Galileo Multiplex Needs .................................................................... 2837.7.6Power Spectral Density of CASM and Interplex ............................... 2877.7.7CASM Modulation in GPS ................................................................ 2887.7.8Interplex Modulation for Galileo: BOC(1,1) + BOCcos(15,2.5).........
2917.7.9Modified Interplex and Modified CASM........................................... 2927.7.10 Interesting Aspects of the Modified Interplex.................................... 294Intervoting (Interplex + Majority Voting).........................................................
2957.8.1Origins of Intervoting......................................................................... 2957.8.2Theory on Intervoting......................................................................... 2967.8.3Intervoting with Majority Vote on I................................................... 2977.8.4Intervoting with Majority Vote on Q ................................................. 299FDMA vs.
CDMA............................................................................................. 3028.Conclusions and Recommendations .......................................................................... 3058.1Conclusions .......................................................................................................
3058.2Recommendations for Future Work.................................................................. 306AAppendix. PSD of BPSK signals ................................................................................ 309BAppendix. PSD of sine-phased BOC signals ............................................................. 311CAppendix. PSD of cosine-phased BOC signals .........................................................
315DAppendix. PSD of TCS Signals .................................................................................. 323EAppendix. PSD of UTCS Signals ............................................................................... 325FAppendix. PSD of 8-PSK sine-phased BOC Signals ................................................
327GAppendix. PSD of 8-PSK cosine-phased BOC Signals............................................. 331HAppendix. Equivalent C/N0 in presence of Interference.......................................... 335IAppendix. PSD of the AltBOC Modulation .............................................................. 337JAppendix. PSD of the CBCS modulation..................................................................
349KAppendix. Cramér Rao Lower Bound ...................................................................... 359viTable of ContentsK.1K.2K.3Appendix. Single-Path Maximum Likelihood Estimator.................................. 361Appendix. Two-Path Maximum Likelihood Estimator..................................... 365Appendix. Multiple-Path Maximum Likelihood Estimator .............................. 367LAppendix. Antisymmetric Sequences ........................................................................ 369MAppendix.
Interference Model ................................................................................... 371NAppendix. SSC between two QPSK signals .............................................................. 375OAppendix. Analytical expressions to compute SSCs ................................................ 379O.1Appendix.
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