5. The year is 2029, and, as predicted, robots have taken over the world. You ar
ID: 2249205 • Letter: 5
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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