5. The year is 2029, and, as predicted, robots have taken over the world. You ar

Question

5. The year is 2029, and, as predicted, robots have taken over the world. You are given the task to come up with a communication protocol that the robots won't be able to understand. You think back to the good old college years and think, "I sure am happy I took EECS 202!" You know the robots process audio with an ADC using f,8000 Hz. Your idea is to use a variety of tones that will sound the same to the robots, so they won't be able to interpret the meaning. You decide that one of your tones will have a frequency of fo 2000 Hz. What are 4 other frequencies that will be indistinguishable from fo to the robots?

Explanation / Answer

ADC works on the concept of sampling of different frequencies at a fixed rate called as sampling rate.

Here from the question the sampling frequency fs=8000Hz.

The tones that the robots wont understand the signals have one of the frequency fo=2000Hz.

To determine the other 4 frequencies we will use the concept of sampling.

f1=fs/2=8000/2=4000Hz.

f2=fs/2+fo=4000+2000=6000Hz

f3=f2/2-fo=3000-2000=1000Hz

f4=f2/2+fo=3000+2000=5000Hz , So by using the sampling phenomena frequency at every interval of the samples can be determined and those frequencies can be transmitted to the robots as a result they wont be able to interpret the meaning of our tones.

I hope it is very clear to you.Thank you.

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