Methods of Calculating the Position of a GNSS Receiver from Two-Frequency and Single-Frequency Pseudo-Measurements

Method for determination of the position of a mobile receiver using at least four satellites of which at least one first satellite, known as a single-frequency satellite, transmits a first signal on a first frequency, and of which at least one other satellite known as a two-frequency satellite, transmits second and third signals respectively on the first frequency and on a second frequency, the receiver including means for receiving at least two frequencies, the determination of the position of the receiver comprising the calculation of at least four pseudo-distances corresponding to the distances between each satellite and the receiver, characterized in that the calculation of the position of the receiver includes a step of estimation of the inter-frequency bias, denoted ΔBHF, of the two-frequency signals received in the HF channels of the receiver, the calculation of the inter-frequency bias making it possible to compensate the measurements of the single-frequency or two-frequency pseudo-distances, an estimate of the average inter-frequency bias being denoted ΔBestimated, the average estimated inter-frequency bias between the two-frequency signals received by the receiver being equal to:

• Δ
• 
• 
• B
• estimated
• 
• =
• def
• 
• 1
• (
• N
• -
• 1
• )
• 
• ∑
• i
• =
• 2
• N
• 
• (
• pd
• ib
• 
• 
• meas
• -
• pd
• iameas
• )
• ,
• where i ε [2, N] are two-frequency satellites and pdia-meas is the pseudo-distance between the satellite i and the receiver measured on the first frequency and pdib-meas is the pseudo-distance between the satellite i and the receiver measured on the second frequency.