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authorttt2018-05-22 13:46:15 +0530
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+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