High-performance GNSS using a LEO constellation spectrum underlay

A GNSS receiver (102, 104, 106, 108, 110) comprising at least one processor configured to:

• externally accept or internally recall (220) a receiver position estimate, a clock bias estimate, and carrier phase bias estimates for medium Earth orbit (MEO) satellites and a low Earth orbit (LEO) satellite, wherein the receiver position estimate, the clock bias estimate and the carrier phase bias estimates are collectively a state estimate (228);
• calculate (220, 146) based on the state estimate (228) nominal MEO carrier NCO outputs (266) for respective numerically controlled oscillators (NCOs) (146) for each of the MEO satellites (112), and calculate (220, 188) a nominal LEO carrier NCO output (268) for a numerically controlled oscillator (NCO) (188) for the LEO satellite;
• produce MEO carrier residuals (270) for the MEO satellites (112) based on respective differences (150) between:
• (i) the nominal MEO carrier NCO outputs (266), and
• (ii) reconstructed (142) carrier components of signals received (116) from the MEO satellites (112);
• produce a LEO carrier residual (272) for the LEO satellite based on a difference (192) between:
• (i) the nominal LEO carrier NCO output (268), and
• (ii) a reconstructed (142) carrier component of signals received from the LEO satellite;
• apply coherent integration (154) to the respective MEO carrier residuals (270) to produce integrated MEO carrier residuals (260) and apply sustained coherent integration (196, 226) to the LEO carrier residual (272) to produce an integrated LEO carrier residual (262), wherein the sustained coherent integration (196, 226) scales an integration time of the LEO carrier residual (272) by a reciprocal of a predetermined parameter (ε) corresponding to a power flux density backoff of the LEO satellite;
• and
• refine (220) the state estimate (228) using the integrated MEO carrier residuals (260) and the integrated LEO carrier residual (262).

A global navigation satellite system (GNSS) receiver comprising at least one processor configured to:

• track (146, 150, 154, 158, 162) a carrier component of signals received (116) from at least four medium Earth orbit (MEO) satellites (112) to produce respective tracked MEO carriers (166);
• initialize (164) a receiver position estimate, a clock bias estimate, and carrier phase bias estimates for the at least four MEO satellites (112) and for a plurality of low Earth orbit (LEO) satellites using a code component of the signals received (116) from the at least four MEO satellites (112), wherein the receiver position estimate, the clock bias estimate, and the carrier phase bias estimates are collectively a state estimate (216);
• calculate (174, 178) a feed forward carrier phase (190) for each respective LEO satellite of the plurality of LEO satellites using:
• (i) the tracked MEO carriers (166), and
• (ii) the state estimate (216);
• reconstruct (142) a carrier component of the signals received from each respective LEO satellite of the plurality of LEO satellites to produce a reconstructed LEO carrier (264);
• apply a coherent signal processing gain (196, 200) to a difference (194) between:
• (i) each respective reconstructed LEO carrier (264), and
• (ii) each respective feed forward carrier phase (190) to produce an integrated carrier residual (206);
• and
• refine (164) the state estimate (216) using:
• (i) the tracked MEO carriers (166), and
• (ii) the plurality of integrated carrier residuals (206).

A global navigation satellite system (GNSS) receiver comprising at least one processor configured to:

• externally accept or internally recall (220) a receiver position estimate, a clock bias estimate, and carrier phase bias estimates for medium Earth orbit (MEO) satellites and low Earth orbit (LEO) satellites, wherein the receiver position estimate, the clock bias estimate and the carrier phase bias estimates are collectively a state estimate (228);
• calculate (220, 146) based on the state estimate (228) nominal MEO carrier NCO outputs (266) for respective numerically controlled oscillators (NCOs) (146) for each of the MEO satellites (112), and calculate (220, 188) nominal LEO carrier NCO outputs (268) for respective NCOs (188) for each of the LEO satellites;
• produce MEO carrier residuals (270) for the MEO satellites (112) based on respective differences (150) between:
• (i) the nominal MEO carrier NCO outputs (266), and
• (ii) reconstructed (142) carrier components of signals received (116) from the MEO satellites (112);
• produce LEO carrier residuals (272) for the LEO satellites based on respective differences (192) between:
• (i) the nominal LEO carrier NCO outputs (268), and
• (ii) reconstructed (142) carrier components of signals received from the LEO satellites;
• apply coherent integration (154) to the respective MEO carrier residuals (270) to produce integrated MEO carrier residuals (260), and apply sustained coherent integration (196, 226) to the respective LEO carrier residuals (272) to produce integrated LEO carrier residuals (262), wherein the sustained coherent integration (196, 226) scales an integration time of the LEO carrier residuals (272) by a reciprocal of a predetermined parameter (ε) corresponding to a power flux density backoff of the LEO satellites;
• and
• refine (220) the state estimate (228) using the integrated MEO carrier residuals (260) and the integrated LEO carrier residuals (262).