function [Amp_Imb_DB, Ph_Imb_Deg] = iqcoef2imbal(Comp_Coef) // This function returns the amplitude imbalance and phase imbalance // that a given compensator coefficient will correct. // Calling sequence // [AMP_IMB_DB, PH_IMB_DEG] = IQCOEF2IMBAL(COMP_COEF) // Description // [AMP_IMB_DB, PH_IMB_DEG] = IQCOEF2IMBAL(COMP_COEF) returns // the amplitude imbalance and phase imbalance // that a given compensator coefficient will correct. // Comp_Coef is a scalar or a vector of complex numbers. // AMP_IMB_DB and PH_IMB_DEG are the amplitude imbalance in dB // and the phase imbalance in degrees. // Examples // [a_imb_db,ph_imb_deq] = iqcoef2imbal([4 2 complex(-0.1145,0.1297) complex(-0.0013,0.0029)]) // disp(a_imb_db,'amplitude imbalance in dB =') // disp(ph_imb_deq,'phase imbalance in degrees=') // Bibliography // http://in.mathworks.com/help/comm/ref/iqcoef2imbal.html // See also // iqimbal2coef // Authors // Pola Lakshmi Priyanka, IIT Bombay// //*************************************************************************************************************************************// //Input argument check [out_a,inp_a]=argn(0); if (inp_a > 1) | (out_a >2) then error('comm:iqcoef2imbal: Invalid number of arguments') end if (or(Comp_Coef==%nan) | or(Comp_Coef==%inf)) error('comm:iqcoef2imbal: Input arguments should be finte') end Amp_Imb_DB = zeros(size(Comp_Coef)); Ph_Imb_Deg = zeros(size(Comp_Coef)); for i = 1:length(Comp_Coef) if imag(Comp_Coef(i)) == 0 // To avoid division by zero c = real(Comp_Coef(i)); if abs(c) <= 1 Amp_Imb_DB(i) = 20*log10((1-c)/(1+c)); Ph_Imb_Deg(i) = 0; else Amp_Imb_DB(i) = 20*log10((c+1)/(c-1)); Ph_Imb_Deg(i) = 180; end else R11 = 1 + real(Comp_Coef(i)); R22 = 1 - real(Comp_Coef(i)); R21 = imag(Comp_Coef(i)); R12 = imag(Comp_Coef(i)); K0 = [R22 -R21; -R12 R11]; if R11 == 1 a = 0; else C1 = -K0(1,1)*K0(1,2) + K0(2,2)*K0(2,1); C2 = K0(1,2)^2 + K0(2,1)^2 - K0(1,1)^2 - K0(2,2)^2; if abs(Comp_Coef(i)) <= 1 a = (-C2 - sqrt(C2^2 + 4*C1^2))/(2*C1); else a = (-C2 + sqrt(C2^2 + 4*C1^2))/(2*C1); end end K = K0 * [1 -a; a 1]; Amp_Imb_DB(i) = 20*log10(K(1,1)/K(2,2)); Ph_Imb_Deg(i) = -2*atan(K(2,1)/K(1,1))/%pi*180; end end endfunction