2017년 4월 15일 토요일

[Data Communications] Homework 2 Solutions

Solutions

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[Question]

강의자료(long version) 12페이지의 수식을 보면, Nmax = 1/c * B * r이라는 식이 나와있는데, ( 첫번째 식 )
8페이지에 나와있는 data rate, signal rate 관련 식을 보면, S = c * N * 1/r인 식이 나와있습니다. ( 두번째 식 )
두번째 식을 정리하면 N = 1/c * S * r으로 바뀌는데, 이것과 첫번째 식을 비교하면,

Nmax = 1/c * B * r
N = 1/c * S * r이 됩니다.
S signal rate(baud rate)라고 배웠는데, 왜 이렇게 S B가 같게 되는 지 모르겠습니다.

Bandwidth, Signal rate는 단위부터 다른데, 이 부분이 헷갈립니다.


  1. We can say that the baud rate determines the required bandwidth for a digital signal: More changes in the signal mean injecting more frequencies into the signal. (Frequency means change!! change means frequency!! Namely, baud rate and frequency imply that some change rates per second)
  2. From the lecture notes, each level corresponds to one signal element.

  • From 1 and 2, we can roughly say that the bandwidth (range of frequencies) is proportional to the signal rates (baud rate). 
  • Thus, the minimum bandwidth can be given as, 
    • S  is proportional to B. 
    • B_min = c X  N X (1/r) ⇒ B ≤ c X  N X (1/r) ⇒ (1/c) X B X r ≥ N (= N_max)

[Problem 37] Errata

Signal 10V -> 10W
Signal 5mV -> 5mW