Regarding dB, dBm, and dBi
2024-07-10
Regarding dB, dBm, and dBi https://www.whwireless.com/ Estimated 15minutes to finish reading DB (decibels) DB is a relative unit used to represent the ratio between two quantities. It is usually used to describe the ratio of power or voltage (or current). Definition: (dB=10 \ log_ {10} \ left (\ frac {P_2} {P_1} \ right)) or (dB=20 \ log_ {10} \ left (\ frac {V_2} {V_1} \ right)) Among them, (P_1) and (P_2) are two power values, and (V_1) and (V_2) are two voltage or current values. Note: dB is a relative unit that represents the ratio between two quantities, not an absolute value. 1. The decibel calculation formula for power ratio: When comparing two power values, the decibel calculation formula is: DB=10log10 (P1P2), where (P_1) is the reference power (usually a fixed value), and (P_2) is the power to be measured. If (P_1) is 1 watt, the above formula can be simplified as: dB=10log10 (P2), where (P_2) is the power value in watts. 2. The decibel calculation formula for voltage (or current) ratio: When comparing two voltage (or current) values, the decibel calculation formula is: dB=20log10(V1V2) perhaps dB=20log10(I1I2) Among them, (V_1) and (I_1) are reference voltages and currents (usually fixed values), while (V_2) and (I_2) are the voltages and currents to be measured. If (V_1) or (I_1) is 1 volt or 1 ampere, the above formula can be simplified as: dB=20log10(V2) perhaps dB=20log10(I2) Here (V_2) and (I_2) are voltage and current values in volts or amperes. Note: In these formulas, (\ log_ {10}) represents the logarithm based on 10. If (P_2/P_1) or (V_2/V_1) (or (I_2/I_1)) is greater than 1, then the decibel value is positive; If it is less than 1, the decibel value is negative. The larger the decibel value, the greater the multiple of (P_2) relative to (P_1) (or (V_2) relative to (V_1), or (I_2) relative to (I_1)). DBm (decibels milliwatts) DBm is an absolute unit used to represent power values, with a reference point of 1 milliwatt (0.001 watt). Definition: (dBm=10 \ log_ {10} \ left (\ frac {P} {1mW} \ right)) Where (P) is the power value to be measured. For example, if the power of a signal is 1 watt, then its power is (10 \ log_ {10} (1000)=30 dBm). DBm is commonly used to describe the power of wireless signals or the sensitivity of receivers. DBm calculation formula dBm=10log10(1mWP) Among them, (P) is the power value to be measured, in milliwatts (mW). (1mW) is the reference power value, which corresponds to the power of 0dBm. Related information 1. Unit conversion: 0dBm corresponds to 1 milliwatt (1mW). For every 3dBm increase, the power doubles; For every reduction of 3dBm, the power is halved. For example, 30dBm corresponds to 1 watt (1W), because (10 \ log_ {10} (1000)=30) (because 1W=1000mW). 2. Common conversion values: o 30dBm = 1W o 40dBm = 10W o 50dBm = 100W 3. Precautions: DBm represents the absolute value of power, not the power ratio. In the cal...
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