Due: See class webpage.
Suppose the probability that a transmission will collide with another transmission is 0.1
Questions:



Suppose you want to make a digital recording of the audio signal by sampling the signal at the minimum rate that is necessary. Each sample is represented by an integer value between 64 and 63.
What is the size of your data file if you record 1 hour of the audio. (10 pts)
The sender's clock runs at 1000 Hz and the receiver's clock runs at 999 Hz.
Suppose the receiver does not resynchronize its clock to the sender's clock.
If the sender's and the receiver's clock are synchronized at the start of a (long) transmission, which bit poistion is the first bit that the receiver may receive incorrectly due to the clock drift ?
1010000 0100101 0100010 1001001It uses even parity in rows and in columns and transmits the bits rowwise (including the parity bit in each row).
In other words: first, encode the above message, then show the transmitted bits.
11110000 01010101 10101010 00001111As you can see, all rows and columns have even parity. So the receiver will accept this message without errors.
Suppose the messages above that was received in error
11110000 01010101 10101010 00001111 
11110000 01010101 10101010 00001111 
11110000 01010101 10101010 00001111 
Bit position: 6543210987654321  0100000010000001What is the bit pattern transmitted ? (5 pts)
I.e.: encode the above message.
NOTE: You MUST number your answer with the bit position as I have done above to receive credit !
A receiver received the following pattern that is encoded using Hamming code:
Bit position: 6543210987654321  0100000010000001
Further clarification:
I am asking what is the original data BEFORE the Hamming code was applied. You must use the corrected Hamming code word to answer this (the corrected Hamming code word is obtained from the previous question: Which one bit will the receiver assume to be in error ?  correct that bit and use the corrected Hamming code to obtain the original data).
NOTE: You MUST number your answer with the bit position as I have done above to receive credit !
Bit position: 6543210987654321  0100000010000001You must indicate which bits are in error to receive full credits.
In other words, find an Hamming code word such that:
Original Hamming code word: yyyyyyyyyyyyyyyy After two bit errors: x x < MUST indicate WHICH   2 bits are in error. V V Received by receiver: 0100000010000001The difficulty of this question lies in the fact that a Hamming code word must pass the Hamming code test (see: click here ).
NOTE: You MUST number your answer with the bit position as I have done above to receive credit !
10000001What is the bit pattern that the sender will transmit ? (5 pts)
10000001Will the receiver decide that the message was correct or in error ? Explain to get full credit. (5 pts)