Methods for estimating reference signal received power of cellular communication signals

A method for performing cellular communication in a Long Term Evolution (LTE) network, the method comprising:

• receiving a request for a reference signal received power (RSRP) estimation from a first base station;
• receiving a cellular communication signal yi from the first base station and at least one interference base station transmitted over the LTE network, wherein yi=[y0,i, . . . , yN-1,i]T, N is a size of an observation vector of the cellular communication signal, i is the i-th orthogonal frequency-division multiplexing (OFDM) symbol,
• wherein the received cellular communication signal after a Fast Fourier Transform (FFT) in the i-th orthogonal frequency-division multiplexing (OFDM symbol) is applied is defined by yi=C0,iF0h0,i+C1,iF1h1,i+ni,
• wherein C0,i is a Cell specific Reference Signal for the target first base station, F0 is a modified version of the FFT for the first base station, and h0,i is a channel domain impulse response sampled at a bandwidth sample rate of the cellular communications signal for the first base station, C1,i is a Cell specific Reference Signal for a second base station of the LTE network, F1 is a modified version of the FFT for the second base station, and h1,i is a channel domain impulse response sampled at the bandwidth sample rate of the cellular communications signal for the second base station;
• determining a first channel estimation of {tilde over (h)}1,i the second base station of the LTE network based on the cellular communication signal, wherein {tilde over (h)}1,i=F1†C1,iHyi,
• wherein F1†=(F1HF1)−1F1H,
• wherein C1,iH the Cell specific Reference Signal for the second base station of the LTE network and H is a Hermitian transpose operator;
• performing an interference cancellation Ic based on the cellular communication signal and the first channel estimation, wherein Ic=yi−C1,iF1{tilde over (h)}1,i;
• determining a second channel estimation {tilde over (h)}0,i the first base station based on the cellular communication signal after interference cancellation, wherein {tilde over (h)}0,i=F0†C0,iH(Ic);
• determining a bias matrix Bi based on the second channel estimation, wherein {tilde over (h)}0,i=h0,i−F0†C0,iHF1F1\C1,iHC0,iF0h0,i+{dot over (n)}i,
• wherein F0† is the F0†=(F0HF0)−1F0H,
• wherein C0,iH is the Cell specific Reference Signal for the second base station of the LTE network, and {dot over (n)}i is a filtered noise term,
• wherein ĥ0,i is expressed as, ĥ0,i=(I−Bi)−1ĥ0,i=h0,i+(I−Bi)−1{dot over (n)}i;
• determining RSRP estimation of the first base station based on the second channel estimation and the bias, wherein RSRP=1/MΣi=0M-1|F0ĥ0,i|2−gσ2,
• wherein M is a predefined number of symbols in the cellular communication signal, g is an expectation value of the filtered noise term {dot over (n)}i, σ2 is noise power,
• wherein RSRP is expressed as
• RSRP=1/MΣi=0M-1{tilde over (h)}0,1−H(I−Bi)−HF0hF0(I−Bi)−1{tilde over (h)}0,i−gσ2;
• reporting the RSRP of the first base station;
• and
• managing cell handover based on the RSRP.