# Questions tagged [math]

Questions which may involve math, including calculations about signal levels, the math theory of certain modulations or modes, or anything else.

10 questions
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### What does the Friis transmission equation represent and how is it derived?

I've read that the Friis transmission equation can be applied to calculate path loss in ideal space. However, I'd like to better understand the factors that define it and what it represents, and why ...
3k views

### Is free space path loss dependent on frequency?

Free space path loss is calculated as: $$\left( 4 \pi df \over c \right)^2$$ The presence of $f$ in this equation means that losses increase with increasing frequency, so there's an inherent ...
189 views

### How can I calculate the effects of an LNA, antenna gain, etc. on noise performance?

There are many things I might do enable my station to hear weaker signals that would otherwise be buried in noise. Just a few possibilities: Install a nice LNA Increase antenna gain Reduce feedline ...
19k views

### Calculating Antenna Length on the FCC Exam vs. in Reality

I have seen the following formulas for calculating half and quarter wavelength antennas: Formula for $\frac{1}{2}$-wavelength antenna (in free space): \mathrm{Length~(feet)} = \frac{...
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### SWR Measured at the Transmitter versus SWR at the Antenna

It is fairly well understood that due to transmission line losses, the SWR as measured at the transmitter will be less than the SWR at the antenna. Some of the new antenna analyzers and some vector ...