Radio Receiver Design

The decibel format is commonly used to express absolute power or voltage levels. To do this, we replace P 1 in Equation 1.3 with a standard value. For example, if we are dealing with a system where milliwatt power levels are common, we might choose P 1 to be 1 mW and Equation 1.3 would become
| (1.11) | |
where
P Measured,mW = the power level measured in mW,
P Measured,W = the same power level measured in watts.
Note that Equation 1.11 defines the dBm standard.
dBm is the oldest standard way of expressing measurements. It was originally devised by a telephone company to measure signal levels on their lines and has been widely adapted. The reference power for dBm is 1 milliwatt. (The m in dBm stands for power referenced to 1 mW) A quantity expressed in dBm represents an absolute power level, for example, P out = 20 dBm.
| (1.12) | |
| (1.13) | |
The impedance of a telephone line is about 600 ohms; hence 1mW (or 0 dBm) measures a little less than 0.775 V RMS. In a 50-ohm system, a 1 mW or 0 dBm sine wave has a RMS voltage of 0.224 V RMS.
dBW is a power measurement referenced to 1 watt. dBW is an absolute unit for expressing power level and is widely used in the world of transmitting equipment.
| (1.14) | |
| (1.15) | |
Find an expression relating dBm and...