Digital-to-Analog Conversion
![](https://velog.velcdn.com/images/s_sub/post/d106258c-66de-4be3-88ee-aaf7c9af65da/image.png)
- Digital data can be encoded using these 3 characteristics
- Amplitude
- Frequency
- Phase
![](https://velog.velcdn.com/images/s_sub/post/d36d2b32-6b10-4c83-adae-933db5efa6df/image.png)
- Data element : bit
- Signal element : the smallest unit of signal that represents one or more bits
(주의. digital에서와 정의가 다르다)
그래서, 항상 bit rate >= baud rate
왜냐하면, 최소한 1개로는 표현할 수 있고, 2개로도 1bit 표현하니까.
1bit를 표현할 수 있는 최소 단위 느낌으로 생각하자.
// signal element의 정의 차이가 아직 잘 이해가 안된다..
- N : Data transmission rate (bit rate)
- S : Signal transmission rate (baud rate)
- S = N x 1/r
Q. An analog signal carries 4 bits of data per signal element. If baud rate is 1000 baud, what is the data transmission rate?
A. 4000 bps
ASK (Amplitude Shift Keying)
- Change amplitude of the carrier signal to encode data
- carrier signal : the analog signal that carries the data
- carrier frequency : frequency of the carrier signal
![](https://velog.velcdn.com/images/s_sub/post/a98a11a3-c90f-411e-8847-8bec88cde800/image.png)
FSK (Frequency Shift Keying)
- Change frequency of the carrier signal to encode data
![](https://velog.velcdn.com/images/s_sub/post/54b7316c-1eb5-4d50-867b-82d5321265e5/image.png)
PSK (Phase Shift Keying)
- Change phase of the carrier signal to encode date
![](https://velog.velcdn.com/images/s_sub/post/fe094a54-3a35-4362-be3d-b0d3ca982058/image.png)
BPSK vs. QPSK
BPSK (Binary PSK)
: use 2 different phases to encode 0 and 1
0도, 180도
이렇게 하니까 속도가 너무 안나와
QPSK (Quadrature PSK)
: use 4 different phases to encode 00, 01, 10, 11
2 bits per signal element
45도, 135도, -45도, -135도
Q. data was transmitted at 12Mbps using QPSK modulation. What is the baud rate?
A. signal element 1개당 2개의 bit를 보낸다.
baud rate는 1/2배. => 6Mbps
Constellation Diagram
![](https://velog.velcdn.com/images/s_sub/post/db47110f-b213-430f-8b66-6976bcc76cb0/image.png)
QAM (Quadrature Amplitude Modulation)
QAM = QPSK + ASK
![](https://velog.velcdn.com/images/s_sub/post/1de160fd-4779-4c60-9af1-c646744c1b06/image.png)
Analog-to-Analog Conversion
![](https://velog.velcdn.com/images/s_sub/post/7dfd5918-632c-43d1-87d1-ff9d5a004e13/image.png)
Amplitude modulation
Frequency modulation
Phase modulation