What effect does an increase in frequency matrix have on SNR?

An increase in the frequency matrix typically leads to a decrease in SNR (Signal-to-Noise Ratio). The frequency matrix refers to the resolution in the frequency domain of an imaging system. As the complexity of the data increases—due to higher frequencies or finer frequency sampling—there is often more noise accumulated in the signal, which can overshadow the actual signal being measured.

As noise increases relative to the signal, the SNR, which quantifies the level of the desired signal relative to the background noise, diminishes. Therefore, understanding this relationship is crucial in the context of imaging and data acquisition systems, where maintaining an optimal SNR can significantly affect the quality of the resulting images.