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9. At what power level must a signal be transmitted, on a 12 km cable, to ensure that a minimum Signal to Noise ratio of 10,000:1 is met? The background noise is 700 nW and 10% of the power is lost per kilometer.

9. At what power level must a signal be transmitted, on a 12 km cable, to ensure that a minimum Signal to Noise ratio of 10,000:1 is met? The background noise is 700 nW and 10% of the power is lost per kilometer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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9. At what power level must a signal be transmitted, on a 12 km cable, to ensure that a minimum Signal to Noise ratio of 10,000:1 is met? The background noise is 700 nw and 10% of the power is lost per kilometer.
Transcribed Image Text:9. At what power level must a signal be transmitted, on a 12 km cable, to ensure that a minimum Signal to Noise ratio of 10,000:1 is met? The background noise is 700 nw and 10% of the power is lost per kilometer.
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Step 1

Introduction:

     A measurement used in research and engineering that contrasts the strength of a desired signal with the strength of background noise is known as the signal-to-noise ratio (SNR or S/N). The definition of SNR, which is frequently represented in dB, is the ratio of signal power to noise power.

The Signal-to-noise ratio (SNR) is defined as:

       SNR = Average Signal PowerAverage Noise Power

Given, 

SNR = 10000:1 

noise power = 700 nw

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