Questions tagged [snr]

Signal-to-noise ratio (often abbreviated SNR or S/N) is a measure used in science and engineering that compares the level of a desired signal to the level of background noise.

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14 views

Measurement resolution for an accelerometer

This may be a trivial question but I don't have a strong background in signal processing and measurements. I have a piezoelectric accelerometer with a sampling frequency of 10 kHz (sensitivity $102 \; ...
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How to convert SNR to Eb/N0 in Chirp Spread Spectrum modulations

This question is related to Conversion between Eb/N0 and SNR in spread-spectrum modulation like LoRa CSS?. However I couldn't solve my issue. I'm simulating a Binary Orthognal Chirp Keying ...
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Related to channel power gain

I am having a doubt that why channel power gain is denoted by $|h|^2$. For example, if the signal received is $$y(n) = hx(n)+w(n)$$ where $x(n)$ is transmitted signal with power $P$ , $w(n)$ is AWGN ...
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46 views

SNR and "Sampling Error"

I have created some Matlab simulations where I do the following: Generate a delayed sinusoid which begins at time "T". This is a discrete signal I have created with a sampling frequency 1Mhz,...
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46 views

Is this a valid way to calculate SNR?

If I calculate 1.) the average power of a signal, $P_s$, in terms of the average energy of the signal, $E_s$ and take it as a constant over a given period of time, $T_s$, as $P_s=E_s/T_s$ where $E_s$ ...
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62 views

How to calculate the SNR from the data collected by ADC?

I want to design a filter to deal with periodic signals according to the actual collected data. In practice, I would like to use the SNR as the criterion to judge the performance of the filter. ...
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31 views

Signal to noise ratio (SNR) of a CW signal

I understand the formula SNR = 6.02N+1.76 for a N-bit ADC which quantizes a modulated tone sampled at twice the BW. I am trying to understand what the same equation would be for a unmodulated CW tones ...
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79 views

Estimating the SNR of respiration signal

I'm trying to evaluate the SNR of a respiration signal on Matlab environment, so the bandwidth considered is [0.04-1Hz]. The problem is that noise is overlapped on the signal, so I can't evaluate the ...
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42 views

How can I add complex WGN to a complex damped signal for a specified SNR?

I want to add complex wgn to a signal for a specified SNR. I have been using the following lines: ...
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1answer
60 views

How does upsampling/interpolation/oversampling help with noise shaping?

That's all, Why does upsampling improve the resolution and signal-to-noise ratio? What makes it so good for noise-shaping
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34 views

Understanding SNR effect on signal [duplicate]

I'm studying how SNR is measured, I know is a ratio between the power of signal and noise, and is given in a logarithmic scale but I'm confused about how is interpreted, for example does a SNR of 6 ...
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51 views

Why are some Shannon's limit plots exponential rather than logarithmic?

This diagram again. This is clearly not the shape of $\log_2(1+SNR)$ but I very frequently see this instead of this: But this is also a stupid diagram because it doesn't cross at the origin. Also why ...
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115 views

Clock recovery using Mueller and Muller adds noise affecting EVM or SNR (Two cases - GNU Radio & Python code)

The implementation of the Mueller and Muller clock recovery that I am seeing adds a large amount of 'noise' or degradation to the Error Vector Magnitude (EVM) to the symbols on the constellation. This ...
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39 views

Increase SNR by using only the first 200 samples

I am making an experiment using sound source and microphones. I use metronome as the sound source, so I can consider it as impulse sound. I placed the microphones at different places about 1 meter ...
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1answer
33 views

How to add complex WGN to complex damped exponential and compute SNR?

I am new to the Signal processing domain, So my question might sound basic. I am trying to reproduce the results from the paper Decimative subspace-based parameter estimation techniques by Geert ...
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What set of non-intrusive measures (features) would help to identify bad recordings before speech recognition process?

I'd like to try various non-intrusive features (parameters) that could be calculated from speech recordings (no clean reference) to eliminate bad recordings before doing speech recognition. What set ...
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Are the SNR, Data Rate and Delay values correct in the below calculation?

I have these values: power_received_from_one_subcarrier = -80 dBm bandwidth_for_one_subcarrier = 180 KHz noise = -109 dBm When using {/, *}, the dBm values are ...
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181 views

Energy per symbol calculation

I am having trouble calculating my Energy per symbol and Es/No. Using these parameters and equation $N_s = $Number Symbols $R_s = $Symbol Rate $T_s = $Symbol Time $sps = $samples per symbol x = signal ...
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64 views

Calculating SNR & Es/No and placing noise onto a signal

I have a signal power of -12 dBW from a 16 QAM signal after the first RRC. I want to create a channel SNR of 30 dB I calculate my noise power from this, i.e. its -42 dBW and make the noise to add to ...
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27 views

How to calculate SNR variation with period?

I want to calculate the SNR variation of a signal with respect to the period. The current technique I am using is calculating SNR iteratively by applying narrow bandpass filters of different range, ...
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79 views

Estimating the SNR of 2-FSK

I have some iq data recordings of a 2-FSK waveform that I've created periodograms from. How do you estimate the SNR of this waveform in the frequency domain? I've heard two opinions: One: Integrate ...
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1answer
50 views

SNR of filter output

I have a filter where the input is: $$ x(t) = s(t) + w(t) $$ which is signal plus white Gaussian noise and the output is $y(t)$. If the impulse response of the filter is $h(t)$, then: $$y(t) = s(t)*h(...
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102 views

Calculating $E_b/N_0$ from given SNR ratio

I have the following formula: $$\frac{S}{N}=\frac{E_b \cdot R_b}{N_0 \cdot B }$$ Where $S/N$ is of course SNR in dB, $E_b$ is energy per information bit, $ R_b$ is information bit rate in [bit/s], $...
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83 views

Finding SNR for a portion complex signal

I'm a software engineer that has been given the task of calculating the SNR of a communications signal that is represented by an array of complex numbers. I'm not quite sure how to proceed. Here's ...
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38 views

Questionable Eb/N0 results for different modulations - measurements for 8-PSK do not match the theory

I would like to warn you that this post will be long, so thank you in advance to everyone who reads it and is able to help. I am running a certain simulation. I created a measurement environment (...
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183 views

Why 8-PSK modulation has higher Eb/N0 than QPSK or BPSK?

I run a transmitter/receiver simulation using QPSK, BPSK, and 8-PSK modulations. As far as I have noticed, the best SNR per bit results are obtained when simulating with 8-PSK modulation (and also at ...
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41 views

Logarithmic Amplitude Spectral Subtraction

I'm diving into audio processing and I'm trying to wrap my head around spectral subtraction. I learned there are different approaches do it based on power, magnitude, oversubtraction. My task is to ...
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3answers
185 views

Connection between SNR and the dynamic range of the human ear

For signal-to-noise ratio (SNR), SNR=6B dB is called the dynamic range of the quantizer. The dynamic range of the 16-bit quantizer is 6B = 6·16 = 96 dB. Note that the dynamic range of the human ear ...
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Why does my calculated SNR have so much variance?

I am running a SNR test for a real system as part of a final system test. There is real noise. The noise is calculated as the ratio between two measurements. I noticed however that my SNR value is ...
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31 views

Calculating SNR of RF Waveform

I am trying to calculate the signal to noise ratio of this signal. I'm aware that the SNR calculation should be $$SNR_{db} = 10\log_{10}\frac{P_s}{P_n}$$ For the noise signal $w[n]$ I'm using the ...
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41 views

SNR measurement

I am using QPSK modulation for a BER of $10^{-6}$ at $\text{SNR}=E_b/N_0=10 \ \rm dB$. If my data rate is $5 \ \rm kbps$ then $$S/N_0 = 10\log_{10}(5000)+10 = 47\ \rm dB$$ And if my RF section has a ...
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After upscaling a signal what noise metric to use for noise qualification

If I have a 2d signal (like image) and interpolate (linear) it to get an upsampled signal, how can I qualify the noise, with which metric? STD changes between the signal and its'upsampled counterpart ...
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28 views

standard deviation of two constant noised signals related through interpolation

Let us say say we have a noised constant signal and want to evaluate the standard deviation (std) of the noise. We calculate the std of the said noised signal and call it $\sigma_1$. Now we process ...
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61 views

How to compute two Dimensional SNR

The signal is the white dot or it is a point target. and I have to find the SNR of this image/point target. As i increase noise in thie image, black back ground shows some disturbance. AnHow should i ...
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27 views

Communicate to user that SNR is too low - Speech procesing

I am working in a project to estimate the signal to noise ratio (SNR) for an automatic speech recognition system in order to generate an alert to the user if the noise is too high in the place where ...
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79 views

Why do I keep seeing this equation for $E_b/N_0$

I keep seeing $$\frac{E_b}{N_0} = \frac{E_\text{s}}{\rho N_0}; ~~ \rho=\log_2{M}$$ But my own calculation is: $$\frac{E_b}{N_0} = \frac{E_s}{N_0}\frac{1}{k}$$ Where $k = \frac{\rho n}{ms}$, where $\...
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26 views

Dimension error using findpeaks function in Matlab on Power Spectral Density to calculate SNR of audio data

I have a set of audio files for which I would like to determine a SNR metric. I tried to implement in Matlab as follows: ...
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Increasing SNR and Dynamic Range using Oversampling

How much gain in dynamic range and SNR can be expected if we are to oversample a signal with fixed analog input bandwidth. For Example if I have a analog filter at the input which limits the bandwidth ...
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301 views

How is signal to noise ratio actually measured by receiver equipment?

This sounds like quite a basic question but it surprised me, how is SNR actually measured? You have the incoming signal: It seems like the SNR is just the visual comparison of the peak signal '...
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123 views

SNR for the magnitude of a complex signal

The SNR for a complex valued signal is presented by Dilip Sarwate in: https://dsp.stackexchange.com/a/42359 Following the same steps I would like to estimate the SNR for the magnitude of a complex ...
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40 views

Sinusoidal tone in Signal-to-Noise measurements

Mengapa kita menggunakan nada uji sinusoidal saat mengukur signal-to-noise pada saluran bicara daripada hanya sinyal ucapan itu sendiri ? EDIT: Translation from Indonesian according to Google: Why do ...
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155 views

Finding Minimum SNR or Minimum Detectable Signal Based on Noise Spectral Density

Imagine I have an $n$-bit sensor, whose noise spectral density is $V/\sqrt{Hz}$. $V$ is an exemplary measurement unit. The desired measurement bandwidth is also known. Is there a mathematical way to ...
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213 views

How many bins to include when calculating SNR from FFT?

I'm a scientist conducting an experiment that requires some signal processing. My expertise is not in signal processing, thus here I am. We've basically re-created an experiment conducted by other ...
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628 views

Quantization SNR of sine wave doesn't match 1.761 + 6.02 * Q

I am trying to show with numpy that the quantization noise of a sine wave matches the SNR formula of SNR = 1.761 + 6.02 * Q. The numpy code is simple: ...
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107 views

Isolation of a signal in a frequency band

I have a continuous signal. I digitize it at 40kHz. A useful signal for me is in the range of 500-1500Hz and takes ~ 50-100Hz. It can be located in any part of this strip at any time. If I apply a ...
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48 views

SNR calculation from signal samples

Is it possible to calculate the SNR from finite duration time-domain samples that contain the received signal, $y(t)$, where: $$ y(t) = x(t) + n(t) $$ and $x(t) =$ transmitted signal, and $n(t) =$ ...
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107 views

How to verify the obtained SNR of the noisy signal after adding noise?

I defined the SNR as follows: $$\rm SNR = \frac{\text{Signal power density}}{\text{Noise power density}}$$ Given noise-free signal, I added the noise to this signal by using the formula above. Now, I ...
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139 views

Es/N0 with roll-off

I was trying to figure out if the relationship between SNR and Es/N0 changes with roll-off factor. $W$: RF bandwidth. $B$: Base band bandwidth. $W = 2B$. $E_s$: Symbol energy. $P_s$: Symbol power. $...
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257 views

Why is the relationship between Es/N0 and SNR different for complex and real signals?

I try to use the AWGN Channel model of MATLAB to build my simulation model, but the explanation of the relationship between Es/N0 and SNR in the official manual of MATLAB makes me confused. It says ...
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193 views

Differential Encoding for M-PSK

Confused about a few topics w.r.t. differential encoding/decoding. First, consider the below BER curve taken from wikipedia ( https://en.wikipedia.org/wiki/Phase-shift_keying ) comparing BPSK/QPSK and ...

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