Relationship between energy, power and sampling rate?

1. What increases with sampling rate?
2. What is the relationship between sampling rate and frequency?
3. What is sampling rate formula?
4. How does sampling rate affect Fourier Transform?

What increases with sampling rate?

There are several situations where an increased sampling rate does indeed increase the noise level, due to increased bandwidth of the sampling system or increase of sampling noise from the sampling system for example.

What is the relationship between sampling rate and frequency?

Sampling rate determines the sound frequency range (corresponding to pitch) which can be represented in the digital waveform. The range of frequencies represented in a waveform is often called its bandwidth.

What is sampling rate formula?

The sampling frequency or sampling rate, f_s, is the average number of samples obtained in one second, thus f_s = 1/T. Its unit is sample per second or hertz e.g. 48 kHz is 48,000 samples per second.

How does sampling rate affect Fourier Transform?

The amplitude of the DFT (FFT) is proportional to the number of samples. Therefore, if you sample for twice as long at the same sampling frequency, or if you sample for the same duraiton but twice as fast, you will have twice as many data points, and the DFT amplitude will be twice as large. See examples below.