fec - ECE 302, A Hard Drive Example Error Control by...

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ECE 302, A Hard Drive Example — Error Control by Repetition http://www.ece.purdue.edu/ chihw/ECE302 09S.html Question 1: A hard drive designer found a way to reduce the physical dimension of a hard drive by a factor of 10 so that it can be used in many portable devices, including iPod. The only problem is that with the dimension being so small, the stored data are easily contaminated by environmental noises. To be more specific, there is a 10% probability that a bit 0 stored in the hard drive may sometimes be mis-read as 1. Similarly, there is a 10% probability that a bit 1 will be mis-read as 0. The 10% error rate is too large and beyond the tolerable range. So the hard drive designer tries to reduce the error probability by using some signal processing to protect the data. The following question demonstrates how to use probability arguments to analyze the performance of a simple scheme, termed the “repetition code.” Consider the following case: a bit X is chosen equally likely from
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fec - ECE 302, A Hard Drive Example Error Control by...

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