US 12,270,919 B1
Method and apparatus for navigation using a reduced number of transmitters
Abi Komanduru, Okemos, MI (US); and Madeleine Naudeau, Albuquerque, NM (US)
Assigned to United States of America as represented by the Secretary of the Air Force, Kirtland AFB, NM (US)
Filed by Government of the United States of America as represented by the Secretary of the Air Force, Kirtland AFB, NM (US)
Filed on Jun. 16, 2022, as Appl. No. 17/842,505.
Application 17/842,505 is a division of application No. 16/375,249, filed on Apr. 4, 2019, granted, now 11,487,021.
Application 16/375,249 is a continuation in part of application No. 16/137,325, filed on Sep. 20, 2018, abandoned.
Int. Cl. G01S 19/45 (2010.01); G01S 11/08 (2006.01)
CPC G01S 19/45 (2013.01) [G01S 11/08 (2013.01)] 12 Claims
OG exemplary drawing
 
1. A method for determining a location of a receiver having a known velocity, the method comprising:
for each of three transmitters:
receiving a measured pseudo-range from the receiver to the transmitter, where the measured pseudo-range, a position of the transmitter, the velocity of the receiver, which are known, are related to the location of the receiver and a clock bias of a receiver clock, which are unknown, through a first relationship;
for each of at least two transmitters of the three transmitters:
receiving a measured frequency of a signal transmitted from the transmitter, where the measured frequency, the position of the transmitter, the velocity of the transmitter, the velocity of the receiver and the measured pseudo-range, which are known, are related to the position of the receiver, the clock bias, and a clock drift of the receiver clock, which are unknown, through a second relationship; and
determining the position of the receiver from each of the first relationships for the three transmitters and each of the second relationships for the at least two transmitters.