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Diffstat (limited to '3446/CH4/EX4.6/Ex4_6.sce')
| -rw-r--r-- | 3446/CH4/EX4.6/Ex4_6.sce | 28 |
1 files changed, 28 insertions, 0 deletions
diff --git a/3446/CH4/EX4.6/Ex4_6.sce b/3446/CH4/EX4.6/Ex4_6.sce new file mode 100644 index 000000000..8958dfe3e --- /dev/null +++ b/3446/CH4/EX4.6/Ex4_6.sce @@ -0,0 +1,28 @@ +// Exa 4.6
+// To determine design choice of modulation scheme without an error correction coding.
+
+clc;
+clear all;
+
+SNR=48; //dB-Hz
+BW=45*10^3; //in Hz
+R=9.6*10^3; //bps
+Pb=10^-5; //Bit error rate
+e=2.71828; //Natural exponent e
+
+//solution
+disp(" since the available bandwidth of 45 kHz is more than adequate to support the required data rate of 9.6 kbps.");
+disp("So, the channel is not bandwidth limited ");
+Eb_No=SNR-10*log10(R);
+//We try the 16-FSK modulation scheme
+M=16;
+
+Es_No=log2(M)*Eb_No;
+Ps=(M-1)/2*e^(-Es_No/2);
+//For orthogonal signalling
+Ps16=(2^M-1)/(2^(M-1))*Pb;
+disp("");
+printf(' The maximum symbol error probability is %0.5f \n ',Ps16);
+printf('The symbol error probability achieved by 16-PSK is %.9f \n ',Ps);
+disp("As achieved symbol error probability is far less than maximum tolerable value");
+disp("So, we can meet the given speciļ¬cations for this power-limited channel with a 16-FSK modulation scheme without any error-correction coding")
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