Consider a channel for digital transmission with error probability p, i.e., when transmitting 1 with probability p it will be received as a 0 and probability 1 − p it will be received as a 1; when transmitting 0 with probability p it will be received as a 1 and probability 1 − p it will be received as a 0. We generate a random binary sequence of length 900 and send it through the channel.

1. Simulate 3 channels with p = 0.4, 0.6, 0.7. Check the received sequences through the 3 channels. Calculate the error rate for these 3 channels: proportion of the sequence that is received incorrectly. If your result shows the channel with p = 0.7 has the highest error rate, what simple method can be used such that its error rate will be roughly the same as the channel with p = 0.3?

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