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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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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34 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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Measuring quality of signal [closed]

I've got a following signal: It's a discrete signal from two radar devices from one day. Signal is sampled every 333 ms. So at axis x there is a timeline, axis y is a current radar value. We use ...
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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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115 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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31 views

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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20 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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37 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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22 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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2answers
40 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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26 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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1answer
53 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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1answer
22 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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459 views

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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1answer
107 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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1answer
64 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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35 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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1answer
104 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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1answer
73 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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35 views

Estimating Signal-To-Noise ratio from discrete time series

A hidden variable $x(t)$ (in my case, neuronal signal averaged over a brain area) exhibits dynamics on multiple timescales from milliseconds to seconds. An observable $y(t)$ is produced by convolving $...
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560 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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58 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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42 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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71 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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65 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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100 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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24 views

How to combine mutliple audio files with proper SNR

I have thousands speech records (just human voice 5sec shoots)) and another hundreds but longer environment sounds (street, restaurant etc) I would like to combine them in one track with natural SNR ...
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1answer
100 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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73 views

How to calculate time domain SNR using known sequence

I am using the following formula to calculate SNR of a real world complex baseband signal sampled at 1x Nyquist. ...
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117 views

How to calculate variance of noise on a noisy image (Noise+Signal)

I have a long exposure image captured at 70ms. (I1) (As attached) I also have another image captured at 0.7ms with Gain24. (I2) (As attached) This image has both noise and signal together. I would ...
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145 views

How to calculate sine wave SNR from oscilloscope

I'm trying to calculate the SNR of a sine wave produced with a 12 bit DAC. I'm new when it comes to calculating/measuring noise in signals. My idea was to capture the signal using an oscilloscope (...
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57 views

Filter a negative SNR signal whose frequency spectrum lies inside the noise frequency spectrum

I am a newbie in Signal Processing and need your suggestion in the following problem. My signal amplitude is 10 times weaker than the noise. Furthermore, the frequency spectrum of the noise and the ...
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34 views

Increase signal to noise ratio

I work with the K-LC6 microwave module. Previously, when the microwave module was assembled on discrete elements, the signal-to-noise ratio was 5. Now, with the transition to specialized microcircuits,...
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1answer
75 views

SINAD calculation in MATLAB

I want to understand how SINAD is calculated. In MATLAB there is a funciton called SINAD and I would like to see if I can obtain "the same" answer as the inbuilt function does. From the ...
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27 views

SNR in case of complex channel and fading

I am trying to estimate SNR mathematically given in a paper. $$ y = hx + n$$ $h$ is channel fading, that is Rayleigh in my case, while $n$. Both $h$ and $n$ are random variables. ...
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33 views

calculate decibel SNR in percent

i have the following metric for calculating the SNR for my predictions: i basically dont calculate signal to noise but signal to error. x is my prediction and y is the true signal. When i have an ...
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46 views

Instantaneous SNR

A relay system with 3 nodes: S (power node), R (relay node), and D (destination node). S transmit the signal x to R, received signal at R: $$y_R=\sqrt{P_sd_1^{-\beta}} h_{SR}\,x + n_r$$ with: $...
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38 views

What is the effect of sampling time, sampling frequency and SNR on latency? [closed]

I believe that if we have two or more external sound cards, hence clock would vary for each device. How will this affect the latency? Will it increase or decrease? How will the factors like sampling ...
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2answers
80 views

Speech SNR estimation

I'm trying to estimate SNR level in db to use it as a switch for an speech enhancement method that i'm working on. The noise level is not known and can be estimated using a posterior SNR algorithm. ...
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1answer
33 views

How to plot BER Vs SNR of a received signal

I am using USRP to transmit and received MIMO frames similar to Wi-Fi standard that I created on my own. After receiving the signal, it is processed as described in the standard. While I plot the ...
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24 views

Calculate SINR and Array-Gain for acoustic Beamforming in Matlab

I'm struggling to understand the equation and the reasons for this equation from Matlab's acoustic beamforming example. Here is the link: https://se.mathworks.com/help/phased/examples/acoustic-...
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74 views

How to find out the noise level of a signal

Is it possible to find the amount of noise or SNR of a signal from its time series output? For example; let x = randn(100,1) and ...
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1answer
32 views

The use of FDM for a single message signal

Suppose I have a single message signal, m(t), that is subjected to AWGN upon transmission. Is there any way that FDM (or any multiplexing strategy) can be used to ultimately improve the SNR of the ...
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55 views

Comparing the performance of a digital communication sim against a reference

I have a complex baseband simulation of binary FSK modulation and demodulation. The modulated signal $s[k]$ is computed as $$ s[k] = e^{-j2\pi f_ik/f_s} , i \in [0,1] $$ where the sampling rate is $...
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48 views

Dependence of correlation peak height on GPS C/A signal's SNR, noise floor level (dBFS), correlation period length and ADC resolution

Assuming correlation at 2X the chip rate (2046 chips per period) and 500 Hz frequency search bins. There are probably additional variables here that I'm missing and I'm not sure how to quantify a ...
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33 views

Variance of circular vector correlation

Say I have two zero-mean vectors, with a size of N and the translation between them is k. Say the image signal std is $\sigma_s$ and the noise std is given by $\sigma_n$. What is the variance of the ...
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332 views

Difference between formula of SNR and SQNR?

Is there any difference between formula/expressionsof SNR and SQNR? where SNR is Signal to noise ratio and SQNR is signal to quantization noise . The following DSP SE question shows both SNR and SQNR ...
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172 views

Ouput SNR of an integrator

Say I have an integrator with transfer function $\dfrac{\mathrm{F_s}}{s}$. This integrator has an initial condition zero and integrates from $t=0$ to $t=\dfrac{1}{Fs}$. If I apply a constant $V_{...
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1answer
28 views

How to calculate SNR of dead-band quantizer?

Suppose we have a dead-band quantizer with $\ N = 5 \ quantizing \ levels $ which uses $\ b = 3 \ bits $ for each produced symbol. The quantizer gets as input a uniformly distributed signal $\ X $ ...

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