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keisanHigh-precision calculations for everyday life and work

Input-to-Output Noise Voltage and Signal-to-Noise Ratio (Output Noise Voltage Density Measurement)

Author: casio777Executions: 237

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Calculate the input-referred noise voltage and the signal-to-noise ratio.
Calculates the input-equivalent noise voltage and signal-to-noise ratio (SNR) based on the output voltage noise density (dBVrms/√Hz)
measured using an FFT analyzer or spectrum analyzer.
Output noise voltage density
dBVrms/√Hz
Gain
dB
Bandwidth
Hz
Signal Voltage
dBVrms
Input-to-Conversion Noise Voltage Density dBVrms/√Hz
Noise Voltage (Total Bandwidth) dBVrms
Signal-to-Noise Ratio dB
Measurement Method:
When measuring output noise voltage density using a spectrum analyzer or similar instrument,
please use a function such as the power spectral density (PSD) measurement mode, where the voltage density is independent of the bandwidth.

Measurement Using an FFT Analyzer (Example):
For the ONO SOKKI CF-350Z
1. Select “PSD” from “Density.”
2. Change “UNIT” from dBV to dBVrms.
3. The displayed voltage value represents the output noise voltage density in dBVrms/√Hz.

In this calculation, the noise voltage is assumed to be broadband noise uniformly distributed across the entire bandwidth.
For the bandwidth Bw, you can either specify it directly or estimate it from the corner frequency of the low-pass filter.
The noise bandwidth Bw and corner frequency fc are assumed to satisfy the following relationship: Bw = fc * (π/2).

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