dBm是一个表示功率绝对值的值(也可以认为是以1mW功率为基准的一个比值),
计算公式为:dBm=10log(功率值/1mw)
wW=power(10,dBm/10)
W=(power(10,dBm/10))/1000
一、粗略计算方法
这里将dBm转换为W的口算规律是要先记住“1个基准”和“2个原则”:
“1个基准”:30dBm=1W
“2个原则”:1)+3dBm,功率乘2倍;-3dBm,功率乘1/2|
举例:33dBm=30dBm+3dBm=1W×2=2W
27dBm=30dBm-3dBm=1W×1/2=0.5W
2)+10dBm,功率乘10倍;-10dBm,功率乘1/10
举例:40dBm=30dBm+10dBm=1W×10=10W
20dBm=30dBm-10dBm=1W×0.1=0.1W
以上可以简单的记作:30是基准,等于1W整,互换不算难,口算可完成。加3乘以2,加10乘以10;减3除以2,减10除以10。
几乎所有整数的dBm都可用以上的“1个基准”和“2个原则”转换为W。
例1:44dBm=?W
44dBm=30dBm+10dBm+10dBm-3dBm-3dBm
=1W×10×10×1/2×1/2
=25W
例2:32dBm=?
32dBm=30dBm+3dBm+3dBm+3dBm+3dBm-10dBm
=1W×2×2×2×2×0.1
=1.6W
计算技巧:+1dBm和+2dBm的计算技巧
+1dBm=+10dBm-3dBm-3dBm-3dBm
=X×10×1/2×1/2×1/2
=X×1.25
+2dBm=-10dBm+3dBm+3dBm+3dBm+3dBmw
=X×0.1×2×2×2×2
=X×1.6
一般来讲,在工程中,dBm和dBm(或dBw和dBw)之间只有加减,没有乘除。而用得最多的是减法:dBm减 dBm 实际上是两个功率相除,信号功率和噪声功率相除就是信噪比(SNR)。dBm加dBm 实际上是两个功率相乘。
一、精确计算方法
计算公式为:dBm=10log(功率值/1mw)
wW=power(10,dBm/10)
W=(power(10,dBm/10))/1000
功率-》dBm的换算
dBm | mw | dBm | mw | dBm | W | dBm | W | |||
-100 | 0.0000000001000000 | -50 | 0.0000100000000000 | 0 | 0.001 | 50 | 100.000 | |||
-99 | 0.0000000001258925 | -49 | 0.0000125892541179 | 1 | 0.001 | 51 | 125.893 | |||
-98 | 0.0000000001584893 | -48 | 0.0000158489319246 | 2 | 0.002 | 52 | 158.489 | |||
-97 | 0.0000000001995262 | -47 | 0.0000199526231497 | 3 | 0.002 | 53 | 199.526 | |||
-96 | 0.0000000002511886 | -46 | 0.0000251188643151 | 4 | 0.003 | 54 | 251.189 | |||
-95 | 0.0000000003162278 | -45 | 0.0000316227766017 | 5 | 0.003 | 55 | 316.228 | |||
-94 | 0.0000000003981072 | -44 | 0.0000398107170553 | 6 | 0.004 | 56 | 398.107 | |||
-93 | 0.0000000005011872 | -43 | 0.0000501187233627 | 7 | 0.005 | 57 | 501.187 | |||
-92 | 0.0000000006309573 | -42 | 0.0000630957344480 | 8 | 0.006 | 58 | 630.957 | |||
-91 | 0.0000000007943282 | -41 | 0.0000794328234724 | 9 | 0.008 | 59 | 794.328 | |||
-90 | 0.0000000010000000 | -40 | 0.0001000000000000 | 10 | 0.010 | 60 | 1000.000 | |||
-89 | 0.0000000012589254 | -39 | 0.0001258925411794 | 11 | 0.013 | 61 | 1258.925 | |||
-88 | 0.0000000015848932 | -38 | 0.0001584893192461 | 12 | 0.016 | 62 | 1584.893 | |||
-87 | 0.0000000019952623 | -37 | 0.0001995262314969 | 13 | 0.020 | 63 | 1995.262 | |||
-86 | 0.0000000025118864 | -36 | 0.0002511886431510 | 14 | 0.025 | 64 | 2511.886 | |||
-85 | 0.0000000031622777 | -35 | 0.0003162277660168 | 15 | 0.032 | 65 | 3162.278 | |||
-84 | 0.0000000039810717 | -34 | 0.0003981071705535 | 16 | 0.040 | 66 | 3981.072 | |||
-83 | 0.0000000050118723 | -33 | 0.0005011872336273 | 17 | 0.050 | 67 | 5011.872 | |||
-82 | 0.0000000063095734 | -32 | 0.0006309573444802 | 18 | 0.063 | 68 | 6309.573 | |||
-81 | 0.0000000079432823 | -31 | 0.0007943282347243 | 19 | 0.079 | 69 | 7943.282 | |||
-80 | 0.0000000100000000 | -30 | 0.0010000000000000 | 20 | 0.100 | 70 | 10000.000 | |||
-79 | 0.0000000125892541 | -29 | 0.0012589254117942 | 21 | 0.126 | 71 | 12589.254 | |||
-78 | 0.0000000158489319 | -28 | 0.0015848931924611 | 22 | 0.158 | 72 | 15848.932 | |||
-77 | 0.0000000199526231 | -27 | 0.0019952623149689 | 23 | 0.200 | 73 | 19952.623 | |||
-76 | 0.0000000251188643 | -26 | 0.0025118864315096 | 24 | 0.251 | 74 | 25118.864 | |||
-75 | 0.0000000316227766 | -25 | 0.0031622776601684 | 25 | 0.316 | 75 | 31622.777 | |||
-74 | 0.0000000398107171 | -24 | 0.0039810717055350 | 26 | 0.398 | 76 | 39810.717 | |||
-73 | 0.0000000501187234 | -23 | 0.0050118723362727 | 27 | 0.501 | 77 | 50118.723 | |||
-72 | 0.0000000630957344 | -22 | 0.0063095734448019 | 28 | 0.631 | 78 | 63095.734 | |||
-71 | 0.0000000794328235 | -21 | 0.0079432823472428 | 29 | 0.794 | 79 | 79432.823 | |||
-70 | 0.0000001000000000 | -20 | 0.0100000000000000 | 30 | 1.000 | 80 | 100000.000 | |||
-69 | 0.0000001258925412 | -19 | 0.0125892541179417 | 31 | 1.259 | 81 | 125892.541 | |||
-68 | 0.0000001584893192 | -18 | 0.0158489319246111 | 32 | 1.585 | 82 | 158489.319 | |||
-67 | 0.0000001995262315 | -17 | 0.0199526231496888 | 33 | 1.995 | 83 | 199526.231 | |||
-66 | 0.0000002511886432 | -16 | 0.0251188643150958 | 34 | 2.512 | 84 | 251188.643 | |||
-65 | 0.0000003162277660 | -15 | 0.0316227766016838 | 35 | 3.162 | 85 | 316227.766 | |||
-64 | 0.0000003981071706 | -14 | 0.0398107170553497 | 36 | 3.981 | 86 | 398107.171 | |||
-63 | 0.0000005011872336 | -13 | 0.0501187233627272 | 37 | 5.012 | 87 | 501187.234 | |||
-62 | 0.0000006309573445 | -12 | 0.0630957344480193 | 38 | 6.310 | 88 | 630957.344 | |||
-61 | 0.0000007943282347 | -11 | 0.0794328234724281 | 39 | 7.943 | 89 | 794328.235 | |||
-60 | 0.0000010000000000 | -10 | 0.1000000000000000 | 40 | 10.000 | 90 | 1000000.000 | |||
-59 | 0.0000012589254118 | -9 | 0.1258925411794170 | 41 | 12.589 | 91 | 1258925.412 | |||
-58 | 0.0000015848931925 | -8 | 0.1584893192461110 | 42 | 15.849 | 92 | 1584893.192 | |||
-57 | 0.0000019952623150 | -7 | 0.1995262314968880 | 43 | 19.953 | 93 | 1995262.315 | |||
-56 | 0.0000025118864315 | -6 | 0.2511886431509580 | 44 | 25.119 | 94 | 2511886.432 | |||
-55 | 0.0000031622776602 | -5 | 0.3162277660168380 | 45 | 31.623 | 95 | 3162277.660 | |||
-54 | 0.0000039810717055 | -4 | 0.3981071705534970 | 46 | 39.811 | 96 | 3981071.706 | |||
-53 | 0.0000050118723363 | -3 | 0.5011872336272720 | 47 | 50.119 | 97 | 5011872.336 | |||
-52 | 0.0000063095734448 | -2 | 0.6309573444801930 | 48 | 63.096 | 98 | 6309573.445 | |||
-51 | 0.0000079432823472 | -1 | 0.7943282347242810 | 49 | 79.433 | 99 | 7943282.347 |
mw | dBm | mw | dBm | W | dBm | W | dBm | |||
1 | 0.00 | 51 | 17.08 | 0.1 | 20.00 | 42 | 46.23 | |||
2 | 3.01 | 52 | 17.16 | 0.2 | 23.01 | 43 | 46.33 | |||
3 | 4.77 | 53 | 17.24 | 0.3 | 24.77 | 44 | 46.43 | |||
4 | 6.02 | 54 | 17.32 | 0.4 | 26.02 | 45 | 46.53 | |||
5 | 6.99 | 55 | 17.40 | 0.5 | 26.99 | 46 | 46.63 | |||
6 | 7.78 | 56 | 17.48 | 0.6 | 27.78 | 47 | 46.72 | |||
7 | 8.45 | 57 | 17.56 | 0.7 | 28.45 | 48 | 46.81 | |||
8 | 9.03 | 58 | 17.63 | 0.8 | 29.03 | 49 | 46.90 | |||
9 | 9.54 | 59 | 17.71 | 0.9 | 29.54 | 50 | 46.99 | |||
10 | 10.00 | 60 | 17.78 | 1 | 30.00 | 51 | 47.08 | |||
11 | 10.41 | 61 | 17.85 | 2 | 33.01 | 52 | 47.16 | |||
12 | 10.79 | 62 | 17.92 | 3 | 34.77 | 53 | 47.24 | |||
13 | 11.14 | 63 | 17.99 | 4 | 36.02 | 54 | 47.32 | |||
14 | 11.46 | 64 | 18.06 | 5 | 36.99 | 55 | 47.40 | |||
15 | 11.76 | 65 | 18.13 | 6 | 37.78 | 56 | 47.48 | |||
16 | 12.04 | 66 | 18.20 | 7 | 38.45 | 57 | 47.56 | |||
17 | 12.30 | 67 | 18.26 | 8 | 39.03 | 58 | 47.63 | |||
18 | 12.55 | 68 | 18.33 | 9 | 39.54 | 59 | 47.71 | |||
19 | 12.79 | 69 | 18.39 | 10 | 40.00 | 60 | 47.78 | |||
20 | 13.01 | 70 | 18.45 | 11 | 40.41 | 61 | 47.85 | |||
21 | 13.22 | 71 | 18.51 | 12 | 40.79 | 62 | 47.92 | |||
22 | 13.42 | 72 | 18.57 | 13 | 41.14 | 63 | 47.99 | |||
23 | 13.62 | 73 | 18.63 | 14 | 41.46 | 64 | 48.06 | |||
24 | 13.80 | 74 | 18.69 | 15 | 41.76 | 65 | 48.13 | |||
25 | 13.98 | 75 | 18.75 | 16 | 42.04 | 66 | 48.20 | |||
26 | 14.15 | 76 | 18.81 | 17 | 42.30 | 67 | 48.26 | |||
27 | 14.31 | 77 | 18.86 | 18 | 42.55 | 68 | 48.33 | |||
28 | 14.47 | 78 | 18.92 | 19 | 42.79 | 69 | 48.39 | |||
29 | 14.62 | 79 | 18.98 | 20 | 43.01 | 70 | 48.45 | |||
30 | 14.77 | 80 | 19.03 | 21 | 43.22 | 71 | 48.51 | |||
31 | 14.91 | 81 | 19.08 | 22 | 43.42 | 72 | 48.57 | |||
32 | 15.05 | 82 | 19.14 | 23 | 43.62 | 73 | 48.63 | |||
33 | 15.19 | 83 | 19.19 | 24 | 43.80 | 74 | 48.69 | |||
34 | 15.31 | 84 | 19.24 | 25 | 43.98 | 75 | 48.75 | |||
35 | 15.44 | 85 | 19.29 | 26 | 44.15 | 76 | 48.81 | |||
36 | 15.56 | 86 | 19.34 | 27 | 44.31 | 77 | 48.86 | |||
37 | 15.68 | 87 | 19.40 | 28 | 44.47 | 78 | 48.92 | |||
38 | 15.80 | 88 | 19.44 | 29 | 44.62 | 79 | 48.98 | |||
39 | 15.91 | 89 | 19.49 | 30 | 44.77 | 80 | 49.03 | |||
40 | 16.02 | 90 | 19.54 | 31 | 44.91 | 81 | 49.08 | |||
41 | 16.13 | 91 | 19.59 | 32 | 45.05 | 82 | 49.14 | |||
42 | 16.23 | 92 | 19.64 | 33 | 45.19 | 83 | 49.19 | |||
43 | 16.33 | 93 | 19.68 | 34 | 45.31 | 84 | 49.24 | |||
44 | 16.43 | 94 | 19.73 | 35 | 45.44 | 85 | 49.29 | |||
45 | 16.53 | 95 | 19.78 | 36 | 45.56 | 86 | 49.34 | |||
46 | 16.63 | 96 | 19.82 | 37 | 45.68 | 87 | 49.40 | |||
47 | 16.72 | 97 | 19.87 | 38 | 45.80 | 88 | 49.44 | |||
48 | 16.81 | 98 | 19.91 | 39 | 45.91 | 89 | 49.49 | |||
49 | 16.90 | 99 | 19.96 | 40 | 46.02 | 90 | 49.54 | |||
50 | 16.99 | 100 | 20.00 | 41 | 46.13 | 91 | 49.59 |