US 12,368,518 B2
Method for characterising processing differences between several analog channels
Alain Michel Chiodini, Moissy-Cramayel (FR)
Assigned to SAFRAN ELECTRONICS & DEFENSE, Paris (FR)
Filed by SAFRAN ELECTRONICS & DEFENSE, Paris (FR)
Filed on Sep. 26, 2022, as Appl. No. 17/952,888.
Claims priority of application No. 2110082 (FR), filed on Sep. 27, 2021.
Prior Publication US 2023/0096412 A1, Mar. 30, 2023
Int. Cl. H04B 15/00 (2006.01)
CPC H04B 15/00 (2013.01) 10 Claims
OG exemplary drawing
 
1. A method comprising:
injecting a first analog signal in a first analog channel, a second analog signal in a second analog channel, and a third analog signal in the second analog channel, wherein the first analog signal, the second analog signal and the third analog signal are periodic and have a same amplitude and a same period, wherein the first analog signal and the second analog signal have a same waveform, wherein the third analog signal is in phase quadrature with the second analog signal,
digitizing the first analog signal in output of the first analog channel, so as to obtain a first digital signal xk having N samples, digitizing the second analog signal in output of the second analog channel, so as to obtain a second digital signal xl having N samples, and digitising the third analog signal in output of the second analog channel so as to obtain a third digital signal yl having N samples,
estimating parameters γk,l and δk,l from the first digital signal, the second digital signal and the third digital signal,
wherein:
γk,l is a ratio between an amplitude of the first analog signal in output of the first analog channel and an amplitude of the second analog signal in output of the second analog channel,
δk,l is a difference between a phase shift induced by the first analog channel in the first analog signal and a phase shift induced by the second analog channel in the second analog signal,
wherein estimating the parameters γk,l and δk,l comprises applying a least squares method in order to determine values of the parameters γk,l and δk,l that minimize the following quantity:

OG Complex Work Unit Math
and
wherein:
xk(n) is a nth sample of the first digital signal,
xl(n) is a nth sample of the second digital signal, and
yl(n) is a nth sample of the third digital signal.