關於dbw 與dbm 的計算


一分貝(dB)表示單元信號強度相對差異。其比率的基礎對數為10,,如dB = 10 x Log10 (P1/P2)

基礎10對數規則:

Log10 (AxB) = Log10(A) + Log10(B)

Log10 (A/B) = Log10(A) - Log10(B)

Log10 (1/A) = - Log10(A)

Log10 (0,01) = - Log10(100) = -2

Log10 (0,1) = - Log10(10) = - 1

Log10 (1) = 0

Log10 (2) = 0,3

Log10 (4) = 0,6

Log10(10) = 1

Log10 (20) = 1,3

Log10 (2 x 10) = Log10 (2) + Log10(10) = 1 + 0,3

Log10(100) = 2

Log10 (1000) = 3

Log10 (10000) = 4

對數系統中有如下運算:

1 mW

1 mW/1mW=1

0 dbm = 10 x Log10 (1)

2 mW

2 mW/1mW=2

3 dbm = 10 x Log10 (2)

4 mW

4 mW/1mW=4

6 dbm = 10 x Log10 (4)

10 mW

10 mW/1mW=10

10 dbm = 10 x Log10(10)

0.1 W

100 mW/1mW=100

20 dbm = 10 x Log10(100)

1W

1000 mW/1mW=1000

30 dbm = 10 x Log10 (1000)

10 W

10000mW/1mW=10000

40 dbm = 10 x Log10 (10000)

dbm = dB毫瓦特= 10 x Log10 (電源mW/1mW)

電源

比率

dbm = 10 x Log10 (電源在兆瓦mW/1mW)

1 mW

1 mW/1mW=1

0 dbm = 10 x Log10 (1)

2 mW

2 mW/1mW=2

3 dbm = 10 x Log10 (2)

4 mW

4 mW/1mW=4

6 dbm = 10 x Log10 (4)

10 mW

10 mW/1mW=10

10 dbm = 10 x Log10(10)

0.1 W

100 mW/1mW=100

20 dbm = 10 x Log10(100)

1W

1000 mW/1mW=1000

30 dbm = 10 x Log10 (1000)

10 W

10000mW/1mW=10000

40 dbm = 10 x Log10 (10000)

dbw = dB瓦特= 10 x Log10 (電源W/1W)

電源

比率

dbm = 10 x Log10 (電源W/1W)

1W

11 W = 1

0 dbw = 10 x Log10 (1)

2 W

21 W = 2

3 dbw = 10 x Log10 (2)

4 W

41 W = 4

6 dbw = 10 x Log10 (4)

10 W

101 W = 10

10 dbw = 10 x Log10(10)

100 W

0,11 W = 0,1

-10 dbw = -10 x Log10(10)

10 W

0,011 W = 1/100

-20 dbw = -10 x Log10(100)

1 W

0,001W/1W=1/1000

-30 dbw = -10 x Log10 (1000)

在射頻信號中,0dBm=1mW,每3dB功率信號翻倍,每10dB功率信號變為10倍;對電壓信號,則是每6dB電壓信號翻倍,每20dB電壓信號變為10

 


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