Calculate the time taken to transmit the file over the wireless link

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SUMMARY

The discussion revolves around calculating the time taken to transmit a 16 MB file compressed with a ratio of 4 over a wireless link with a maximum data rate of 1.2 Gbps and a throughput of 60%. The effective data rate is determined to be 720 Mbps (1.2 Gbps * 0.6). The total size of the compressed file is 4 MB, which equals 32 megabits. The time taken to transmit this file is calculated to be approximately 0.044 seconds, rounded to two significant figures.

PREREQUISITES
  • Understanding of data compression ratios
  • Familiarity with data transmission rates (e.g., Gbps, Mbps)
  • Basic knowledge of file size conversions (MB to bits)
  • Awareness of throughput concepts in networking
NEXT STEPS
  • Learn about data compression techniques and their impact on file transmission
  • Study the principles of wireless communication and data rates
  • Explore the concept of throughput and its calculation in networking
  • Investigate Shannon's theorem and its application in data transmission
USEFUL FOR

This discussion is beneficial for network engineers, data analysts, and anyone involved in optimizing file transmission over wireless networks.

JJgo
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Homework Statement
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Relevant Equations
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Hello,
I've got this question:

A 16 MB file is compressed using a compression ratio of 4. The resulting compressed file is transmitted over a wireless connection that offers a maximum data rate of 1.2 Gbps. If a throughput of 60% can be achieved, and assuming there are no other transmissions occurring at the same time, calculate the time taken to transmit the file over the wireless link. Give your answer to 2 significant figures.

I thought about Shannon's formula, but it's completely foggy ...
Please could you help me?

Thanks
 
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No other information is required, everything you need is provided in the problem statement.
 
...please could you explain me the process?
Thanks
 
Break it into steps.
1. How many bits must be sent?
2. What is the data rate?
3. How long does it take to send the data at that rate?
 

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