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+// Exa 9.5

+// To calculate-

+// a) 3-dB bandwidth for a Gaussian low-pass filter,

+// b) 99.99% power bandwidth in the RF channel, and

+// c) bit error probability for GMSK.

+

+clc;

+clear all;

+

+R=270; //data rate in kbps

+Eb_No=6; // in dB

+GMSK=0.3; //Gaussian minimum shift keying

+

+//solution

+Tb=1/R *10^3; //in microsec

+B=GMSK/Tb;

+printf('3-dB BW for a gaussian low pass filter is %.3f kHz\n',B*1000);

+disp("The 3-dB bandwidth is 81.08 kHz. to determine the 99.99% power bandwidth, we use Table 9.3 to find that 1.41*Rb is the required value and degradation factor(beta)= 0.89");

+PowerBW=1.41*R;

+DegradFac=0.89;

+Pe=erfc(sqrt(2*DegradFac*10^(0.1*Eb_No)));

+printf(' Power bandwidth in the RF channel is %.1f kHz\n ',PowerBW);

+printf('Bit error probability for GMSK is %f * 10^-5\n',Pe*10^5);