1. ECEN4523 Commo Theory Lecture #35 9 November 2015 Dr. George Scheets www.okstate.edu/elec-engr/scheets/ecen4533 n Read 8.3 n Problems: 8.2-5, 6, & 9 n Quiz #8, 13 November (Live) [Chapter 8] u Remote DL students < 20 November n Design Problem u Remote DL students < 13 November u Late Designs Accepted F Cost = -1 point per Working Daty

2. ECEN4523 Commo Theory Lecture #36 11 November 2015 Dr. George Scheets www.okstate.edu/elec-engr/scheets/ecen4533 n Problems: 8.3 – 1, 2, 4, & 6 n Quiz #8, 13 November (Live) [Chapter 8] u Remote DL students < 20 November n Design Problem u Remote DL students < 13 November u Late Designs Accepted F Cost = -1 point per Working Day n Quiz 7 Results u Hi = 10, Low = 4.7, Ave = 8.03, σ = 2.26

3. Channel Capacity (C) Bandwidth, Bit Rate, SNR, and BER related Bandwidth, Bit Rate, SNR, and BER related Channel Capacity defines relationship C = Maximum reliable bit rate C = W*Log 2 (1 + SNR) bps Channel Capacity defines relationship C = Maximum reliable bit rate C = W*Log 2 (1 + SNR) bps Bandwidth sets the maximum Baud rate If move too many Baud, symbols will smear. SNR sets the maximum number of different symbols (the "M" in M-ary) you can reliably tell apart.

4. 1999 Silk Road n During dot.com boom n Company selling fiber optic gear n Claim: Can move Tbps over 64 KHz BW n Fiber optic laser center freq 160,000 GHz u Jitter around 64 KHz n 10 9 bps = 64000*Log 2 (1 + SNR) u 2 15,625 – 1 = SNR u Calculator couldn't find SNR high enough

5. 2nd Claim n Same time period n Claim: Can move Exobits/sec over power lines n Won't need fiber optic cables

6. Power Line Communications Image Source Wikipedia Transformers don't pass high frequency signals.

7. Power Lines act as Antennas Source: http://www.doobybrain.com/2008/02/03/electromagnetic-fields-cause-fluorescent-bulbs-to-glow/

8. Lizzy Borden n Alleged 1892 Ax Murderer Lizzie Borden took an axe And gave her mother forty whacks. And gave her mother forty whacks. When she saw what she had done She gave her father forty-one.

9. Bernoulli Trials & Binomial Distribution n You must have a two state experiment u Success or Failure u Stable probabilities n You must be interested in the number of successes (or failures) u Specific order not important n The individual experiments must be Statistically Independent

10. Need P(Number of Outcomes)? n 1) Binomial Distribution? n 2) If no, think Conditional Probability u Draw an event tree u Assign probabilities P(a1) P(a2) P(a3) P(b1|a1) P(b2|a1) P(b4|a2) P(b6|a3) P(a1∩b1) P(a2∩b3) P(a1∩b2) P(a2∩b4) P(a3∩b5) P(a3∩b6) P(b3|a2) P(b5|a3)