Which of the following represents a better SNR?

Signal-to-Noise Ratio (SNR) is a measure that compares the level of a desired signal to the level of background noise. A higher SNR indicates that the desired signal is significantly stronger than the noise, which is generally preferable for clarity and accuracy in data processing and communications.

In this case, the SNR values can be calculated from the provided ratios.

For the choice of 1000/500, the SNR would be 2.0 or 3 dB.
For 1000/20, the SNR would be 50.0 or approximately 17 dB.
For 100/20, the SNR would be 5.0 or about 7 dB.
For 500/250, the SNR would be 2.0 or 3 dB.

Among these calculations, the choice of 1000/20 stands out as it produces the highest SNR value of 50.0. A higher SNR signifies that the desired signal can be received with much less interference from noise, enhancing the reliability and quality of the data being analyzed or transmitted.

Consequently, selecting the ratio of 1000 to 20 represents the scenario with the best SNR,