The SNR is affected by such factors as the volume of the voxel, the bandwidth, and the number of signal averages (NSA).
What affects the signal-to-noise ratio?
Sequence type, echo time (TE), repetition time (TR) and flip angle also have an influence on SNR. The longer the TR, the higher the SNR. However, the Tl-effect is also lost as TR increases. In contrast we note that the longer TE is, the lower the SNR.
What would increase SNR?
Increasing the FOV will increase the SNR. Increasing the FOV will increase the pixel size which will increase the amount of signals received by individual pixels. Large pixels will receive more signal and produce high SNR images. Increasing the FOV will however reduce the spatial resolution and produce blurry images.