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+++ title = "Signal to Noise Ratio" author = ["Thomas Dehaeze"] draft = false +++
- Tags
- [Electronics]({{< relref "electronics" >}}), [Dynamic Error Budgeting]({{< relref "dynamic_error_budgeting" >}})
From @phdthesis{jabben07_mechat, author = {Jabben, Leon}, school = {Delft University}, title = {Mechatronic design of a magnetically suspended rotating platform}, year = 2007, } (Section 3.3.2):
Electronic equipment does most often not come with detailed electric schemes, in which case the PSD should be determined from measurements. In the design phase however, one has to rely on information provided by specification sheets from the manufacturer. The noise performance of components like sensors, amplifiers, converters, etc., is often specified in terms of a Signal to Noise Ratio (SNR). The SNR gives the ratio of the RMS value of a sine that covers the full range of the channel through which the signal is propagating over the RMS value of the electrical noise.
Usually, the SNR is specified up to a certain cut-off frequency. If no information on the colouring of the noise is available, then the corresponding PSD can be assumed to be white up to the cut-off frequency \(f_c\): \[ S_{snr} = \frac{x_{fr}^2}{8 f_c C_{snr}^2} \] with \(x_{fr}\) the full range of \(x\), and \(C_{snr}\) the SNR.
Bibliography
Jabben, L., Mechatronic design of a magnetically suspended rotating platform (Doctoral dissertation) (2007). Delft University, . ↩