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Diffstat (limited to '3542/CH6/EX6.5/Ex6_5.sce')
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1 files changed, 30 insertions, 0 deletions
diff --git a/3542/CH6/EX6.5/Ex6_5.sce b/3542/CH6/EX6.5/Ex6_5.sce new file mode 100644 index 000000000..eece39a05 --- /dev/null +++ b/3542/CH6/EX6.5/Ex6_5.sce @@ -0,0 +1,30 @@ +// Example no 6.5
+// To determine the analog bandwidth, output SNR improvement if modulation index is increased from 3 to 5 and tradeoff bandwidth for this improvement.
+// Page no. 277
+
+clc;
+clear all;
+
+// Given data
+fm=5*10^3; // Audio bandwidth of FM signal
+betaf1=3; // Initial modulation index
+betaf2=5; // Final modulation index
+
+// To determine analog bandwidth
+BT1=2*(betaf1+1)*fm; // The analog bandwidth
+BT2=2*(betaf2+1)*fm; // The analog bandwidth
+
+// To determine output SNR improvement factor
+SNR1=3*betaf1^3+3*betaf1^2; // Output SNR factor for modulation index=3
+SNR1=10*log10(SNR1); // Output SNR factor for modulation index=3 in dB
+SNR2=3*betaf2^3+3*betaf2^2; // Output SNR factor for modulation index=3
+SNR2=10*log10(SNR2); // Output SNR factor for modulation index=3 in dB
+
+// To determine improvement in output SNR by increasing modulation index
+improvedSNR=SNR2-SNR1; // Improvement in output SNR by increasing modulation index
+
+// Displaying the result in command window
+printf('\n Using Carson rule, the analog bandwidth at 3 modulation index occupied by FM signal = %0.0f KHz',BT1*10^-3);
+printf('\n Using Carson rule, the analog bandwidth at 5 modulation index occupied by FM signal = %0.0f KHz',BT2*10^-3);
+printf('\n Improvement in output SNR by increasing modulation index = %0.1f dB',improvedSNR);
+printf('\n \n This improvement is achieved at the expenses of bandwidth. For modulation index = 3, a bandwidth of 40kHz is needed,\n while for modulation index = 5 requires bandwidth = 60kHz.');
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