Enter the signal-to-noise ratio of the output and the signal-to-noise ratio of the input into the Calculator. The calculator will evaluate the Array Gain.
Array Gain Formula
AG = SNRo/ SNRi
Variables:
- AG is the Array Gain ()
- SNRo is the signal-to-noise ratio of the output
- SNRi is the signal-to-noise ratio of the input
To calculate Array Gain, divide the signal-to-noise ratio of the output by the SNR of the input.
How to Calculate Array Gain?
The following steps outline how to calculate the Array Gain.
- First, determine the signal-to-noise ratio of the output.
- Next, determine the signal-to-noise ratio of the input.
- Next, gather the formula from above = AG = SNRo/ SNRi.
- Finally, calculate the Array Gain.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
signal-to-noise ratio of the output = 6.5
signal-to-noise ratio of the input = 7
FAQs
What is Signal-to-Noise Ratio (SNR)?
Signal-to-Noise Ratio (SNR) is a measure used to quantify the level of a desired signal to the level of background noise. It is usually expressed in decibels. A higher SNR indicates a better quality of the signal.
Why is Array Gain important?
Array Gain is important because it measures the improvement in signal-to-noise ratio that can be achieved by using an array of antennas, as opposed to a single antenna. This can significantly improve the quality and reliability of wireless communications.
Can Array Gain be negative?
No, Array Gain is typically a positive value as it represents an improvement or gain in the signal-to-noise ratio. A negative value would imply a loss, which contradicts the principle of array gain.
How does the number of antennas affect Array Gain?
The number of antennas in an array can significantly affect the Array Gain. Generally, increasing the number of antennas leads to a higher Array Gain, improving the overall signal-to-noise ratio. However, this improvement is subject to the law of diminishing returns and practical limitations such as interference and antenna design.
