Abstract: A method for determining the respiratory rate R of at least one user includes at least the following steps including acquisition of at least one photoplethysmogram S(t), estimation of the heart rate Fc from at least one photoplethysmogram S(t) acquired from the at least one user, obtainment (130) of at least three signals, generation of a signal S8 from the at least three obtained signals, algorithmic processing (140) of each obtained signal and of S8 by at least two algorithms Ai and Aj so as to obtain at least two estimated respiratory rates for each processed signal, computation (150) of at least two intermediate respiratory rates rm and rn from the estimated respiratory rates (Rx.Ai, Rx.Aj), determination (160) of the respiratory rate R by computing the median of the at least two intermediate respiratory rates.

Abstract: A method of wireless transmission for estimating the carrier frequency offset in a base station of a received transmission from a user equipment (UE) accessing a radio access network. The method time de-multiplexes selected symbols of a received sub-frame, computes the frequency-domain symbols received from each antenna through an FFT, de-maps the UEs selected sub-carriers for each antenna, computes metrics associated to a carrier frequency offset hypothesis spanning a searched frequency offset window, repeats these steps on subsequent received sub-frames from the UE over an estimation interval duration, non-coherently accumulates the computed metrics and selects the carrier frequency offset hypothesis with largest accumulated metric amplitude.

Abstract: A method of wireless transmission for estimating the carrier frequency offset in a base station of a received transmission from a user equipment (UE) accessing a radio access network. The method time de-multiplexes selected symbols of a received sub-frame, computes the frequency-domain symbols received from each antenna through an FFT, de-maps the UEs selected sub-carriers for each antenna, computes metrics associated to a carrier frequency offset hypothesis spanning a searched frequency offset window, repeats these steps on subsequent received sub-frames from the UE over an estimation interval duration, non-coherently accumulates the computed metrics and selects the carrier frequency offset hypothesis with largest accumulated metric amplitude.