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Question: <p>The signal shown in the following figure is collected from a ECG sensor. The spike noise that is observed with a periodicity of 30 seconds was traced to the periodic blip of the LED as it draws current.</p>
<p><img src="https://i.sstatic.net/qsV5D.png" alt="enter image description here"> </p>
<p>The foll... | https://dsp.stackexchange.com/questions/23681/removing-periodic-spike-noise-from-ecg-signal |
Question: <p>I have an EEG signal and it contains eye blink artifacts. I read some references and know that it is possible to detect eye blinks and remove them by using wavelet transforms, but I don't know that how do it. </p>
<p>How do I detect eye blinks? After transforming the EEG signal into wavelet coefficients, ... | https://dsp.stackexchange.com/questions/13636/denoise-eeg-signal-by-using-daubechies-function |
Question: <p>Consider a desired (pink) signal as well as its observation in heavy, non-stationary interference (green, this is the desired signal plus interference). As seen in the plot, the interference can also display quasi-periodic behavior.
Initial filtering removed frequency bands where the interference dominate... | https://dsp.stackexchange.com/questions/90256/tracking-period-of-quasi-periodic-transient-type-signal-in-strong-non-stationary |
Question: <p>I have been searching for a measure of Shannon's entropy <span class="math-container">$\ H $</span> or other entropy-like formulae that vary smoothly with noise for real 1D signals. MATLAB has built in functions for image entropy. The ultimate goal is to use that function for denoising with chi-square (<sp... | https://dsp.stackexchange.com/questions/94589/calculating-shannon-like-entropy-function-of-a-1d-signal-with-random-noise |
Question: <p>I have an objective function for finding out the signal estimate say <span class="math-container">$\parallel X_{cap}-X\parallel_2^2 +$</span> denoising term. Can someone suggest me any techniques on how to incorporate a filter such as Kalman filter as an addend to this objective function in place of denois... | https://dsp.stackexchange.com/questions/81725/how-to-perform-filtering-through-optimization |
Question: <p>If I have an image that is severely corrupted by Poisson noise, and I want to fit a function to the image, is it "better" to attempt to denoise the signal first before fitting, or should I move straight to the fitting stage?</p>
<p>In the example below, a 2D Gaussian function has been corrupted by Poisson... | https://dsp.stackexchange.com/questions/15967/poisson-noise-and-curve-fitting-denoise-first |
Question: <p>I am doing denoising on signal, and as performance measures Normalized Mean Squared Error (NMSE) and output-SNR between original/clean and denoised signals are used.
However, for several cases the answer for NMSE and oSNR are the same but with different signs. Is it okay?</p>
<p>Input SNR for clean signal ... | https://dsp.stackexchange.com/questions/81699/why-nmse-is-the-same-as-output-snr-but-with-an-opposite-sign |
Question: <p>In an audio application, I found it very useful to measure the <strong>total variation of a signal <span class="math-container">$y[n]$</span></strong></p>
<p><span class="math-container">$$\sum_{n=n_0}^{n_0+N} |y[n]-y[n-1]|$$</span></p>
<p>over a window of time length <span class="math-container">$N$</span... | https://dsp.stackexchange.com/questions/49108/total-variation-of-a-signal-is-it-proportional-to-signal-energy |
Question: <p>I'm looking to extract the trend of a signal.</p>
<p>i've tried two methods for now, polynomial regression, and wavelet denoising</p>
<p>both methods don't respect the computation of the last values (meaning the last values computed will not be the same if we compute a longer buffer containing new values... | https://dsp.stackexchange.com/questions/50114/extract-trend-correctly-including-most-recent-values |
Question: <p>I am interested in denoising accerelation measurements, recorded in ambient vibration tests. Such tests consist in recording the vibrations of a mechanical structure, say a table for example. So say I put an accelerometer on the table and measure the signal without touching the table. The objective is to r... | https://dsp.stackexchange.com/questions/34334/how-to-preprocess-such-signals |
Question: <p>In signal processing, convex optimization plays a useful role in problems such as sparse signal recovery and filter design. What other places does convex optimization appear?</p>
<p>For example, in compressed sensing the Basis pursuit Denoising problem, the LASSO problem and the Dantzig selector can be po... | https://dsp.stackexchange.com/questions/24890/convex-optimization-in-signal-and-image-processing |
Question: <p>This is the spectrum of the signal:<img src="https://i.sstatic.net/KyDB1.png" alt="Welch method of SPD"></p>
<p>And this is the signal:</p>
<p><img src="https://i.sstatic.net/w17nt.png" alt="Original sig"></p>
<p>On the FFT spectrum you can notice the high amplitude peaks and I think these frequencies a... | https://dsp.stackexchange.com/questions/13119/how-detect-and-filter-noise-from-signal |
Question: <p>I am denoising biological signals using the DWT, and for UI reasons would prefer the smoother waveform afforded by denoise level 5. However, higher denoise levels seem to distort the latency of salient features (peaks). I've played around with different parametrizations (which converge to a function call ... | https://dsp.stackexchange.com/questions/89516/avoiding-latency-distortion-at-high-denoise-levels-with-dwt |
Question: <p>Wavelets have been widely used in denoising or extracting one specific frequency band of a signal nowadays. However, these can also be done through conventional filters (e.g. butterworth, Chebyshev). So what are the pros and cons for these two methods for filtering? </p>
Answer: <p>Let us first consider ... | https://dsp.stackexchange.com/questions/43951/what-are-the-pros-and-cons-of-wavelet-for-filtering-compared-to-conventional-fil |
Question: <p>I'm working with a Lead II ECG signal sampled at 500 Hz that contains noise and artifacts.
I do not have access to an accelerometer or reference signals — only the ECG itself.</p>
<p>I'm new to Kalman filters and I am trying to denoise ECG signals. I have read that Kalman Filters can be useful for this, bu... | https://dsp.stackexchange.com/questions/96519/kalman-filtering-in-practice-biomedical-processing |
Question: <p>I have a signal from EEG sensors and I try to denoise it from AC frequencies. For that reason, I estimated PSD of my signal and found that 50 Hz and 100 Hz are likely to represent noise. I constructed Butterworth filter of order four and got much clearer signal, but at the start ([0:150] segment) there is ... | https://dsp.stackexchange.com/questions/69532/filtering-artefacts-and-filtering-short-signals |
Question: <p>I understand that aliasing occurs in DWPT if the wavelet used is of low order since the "filters" are not perfect and the combination of down sampling and overlapping between bands causes aliasing.
I am using low order wavelet as I aim to implement the process in real-time and I have limitations ... | https://dsp.stackexchange.com/questions/69441/why-should-wavelet-re-synthesis-produce-an-output-when-the-main-component-is-sup |
Question: <p>Suppose I have two sensors $s_1$ and $s_2$. $s_1$ measures the desired heart signal (with most of the frequency content below 100 Hz), and the other is a reference sensor picking mainly background noise. </p>
<p>Due to the pumping of the blood in the heart, there is also low frequency vibrations, mainly b... | https://dsp.stackexchange.com/questions/30690/removing-low-frequency-vibrations-from-measured-signal |
Question: <p>I notice that when I connect two audio clips, there is a jump at the junction.</p>
<p><a href="https://i.sstatic.net/k6uLU.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/k6uLU.png" alt="enter image description here" /></a>
How do I use interpolation to connect these two pieces of audio?</p>... | https://dsp.stackexchange.com/questions/89231/how-can-i-use-interpolation-to-align-audio |
Question: <p>I know the question <a href="https://dsp.stackexchange.com/q/427/36868">What Resources Are Recommended for an Introduction to Signal Processing (DSP)?</a> and I have already read some general DSP books, such as Rick Lyons's "Understanding DSP," and also have browsed through Oppenheim's.</p>
<p>More speci... | https://dsp.stackexchange.com/questions/51927/recommended-resources-for-noise-reduction |
Question: <p>What is the best Daubechies wavelet (i.e. the number of vanishing moment) to expand a signal $\boldsymbol{x} \in \mathbb{R}^n$?
$\boldsymbol{x}$ consists of $m$ pieces of polynomial with $d$ degree. The criterium is to make the DWT signal as sparse as possible.</p>
<p>Update:
The goal of sparsifying the ... | https://dsp.stackexchange.com/questions/29706/expanding-piecewise-polynomial-using-daubechies-wavelet |
Question: <p>I need to obtain some real (simulated) data to indicate noise in communication system.</p>
<p>How do I go about it? I need it for my thesis.</p>
<p>I don't know if denoising a set of signals will help so I can have the noise data samples.</p>
<p>I just need the noise data samples.</p>
Answer: <p>One e... | https://dsp.stackexchange.com/questions/32278/how-to-acquire-physical-noise-samples |
Question: <p>Through this platform, I want to ask that how can I remove unwanted noise from the signal when you do not have much information regarding the frequency at which they appear? Data is collected from an inductive sensor and sampling frequency is 30000 Hz. There are a lot of electrical noises in the signal, th... | https://dsp.stackexchange.com/questions/85013/detecting-and-removing-noise-from-signal-using-python |
Question: <p>The code below generates one sinusoid and considered as known signal. One needs to find the location of the signals under additive Gaussian noise.</p>
<p>The known signals is comprise of the sinusoids with random phase and amplitude and at random location in time samples.</p>
<p>As I understand Matched fil... | https://dsp.stackexchange.com/questions/93291/is-this-better-detection-than-matched-filter-and-gaussian-noise-cancellation-tec |
Question: <p>If I had 50Hz noise coming from power line, and signals in the same frequency range (EEG for example 0.1Hz to 100Hz). If my sampling frequency is 30kHz but I downsample my signal to 937kHz and use the discrete wavelet packet transform (with Daubechies wavelet) for denoising purposes.</p>
<p>My frequency co... | https://dsp.stackexchange.com/questions/69345/how-well-can-discrete-wavelet-packet-transform-reduce-noises-that-are-similar-to |
Question: <p>After denoising and cleaning, I get amplitude signals like this (y-axis: dB):</p>
<p><img src="https://i.sstatic.net/Pl6ob.png" width="300">
<img src="https://i.sstatic.net/UlIpe.png" width="300">
<img src="https://i.sstatic.net/6BLFB.png" width="300"></p>
<p>On bottom left of each of these 3 graphs, you... | https://dsp.stackexchange.com/questions/48996/detect-the-beginning-of-an-increasing-signal |
Question: <p>If needed, you can find my first post for this problem <a href="https://dsp.stackexchange.com/questions/69850/applying-a-lowpass-filter-to-a-noisy-square-signal-leads-to-a-shift-of-the-signa/69851?noredirect=1#comment144072_69851">here</a>.
I am trying to clean the following signal:</p>
<p><a href="https:/... | https://dsp.stackexchange.com/questions/69867/filtering-a-square-signal-with-a-median-filtering-to-preserve-the-edges |
Question: <p>I'm an absolutely newbie to signal processing. I'm trying to classify EMG signals which are very noisy (decibel values are more than -70 dB in some cases). After applying EMD technique these values are improved to -30 dB to -40 dB.</p>
<p>My question is :</p>
<p>I want to classify these EMG signals. It's ... | https://dsp.stackexchange.com/questions/76389/classification-of-very-noisy-emg-signals |
Question: <p>I had a noisy signal which I denoised using machine learning. Now assuming the noise was additive I am subtracting the denoised signal from the noisy signal to get the noise part. I just did time domain subtraction, but when I plotted the frequency response of the noisy signal, the denoised signal and the ... | https://dsp.stackexchange.com/questions/83067/how-does-signal-subtraction-affect-frequency-response |
Question: <p>I am learning statistical image processing by myself. In papers and books, it always show the histogram of original images and gradients as the following image shows. The histograms of images vary significantly while histograms of image gradients show some similarity. Does it assume that each pixel in imag... | https://dsp.stackexchange.com/questions/35015/interpretation-of-histogram-in-statistical-image-processing |
Question: <p>I am going to remove the noise from a brain recorded signal. It was a continuous recording and with sample rate=30kHz, it was digitized. So now it is a digital signal.
I have written the code here for denoising this signal and I put two figures (the red one is the denoised one) including one big picture f... | https://dsp.stackexchange.com/questions/64008/removing-noise-using-scipy-signal-butter |
Question: <p>let us suppose that we have given following model</p>
<p>$y(t)=A_1 \sin(\omega_1*t+\phi_1) + A_2 \sin(\omega_2*t+\phi_2) + A_3 \sin(\omega_3*t+\phi_3)+ \ldots +A_p \sin(\omega_p*t+\phi_p)+z(t)$</p>
<p>where $z(t)$ is white noise,we have everything unknown,$p,A_i,\omega_i,\phi_i$,what i want to remove no... | https://dsp.stackexchange.com/questions/15525/denosing-given-signal-using-wavelet |
Question: <p>Let $S = X + N$ be the sum of two audio signals $X$ and $N$ which are both stationnary (let's think X is a constant volume 440 Hz sinusoid and N is constant volume noise).</p>
<p>If the sum S has a -20 dB volume and N has a volume of -30 dB, <strong>what is the volume of X?</strong> (could be RMS or pea... | https://dsp.stackexchange.com/questions/51724/what-is-the-name-of-this-very-simple-spectral-subtraction-technique |
Question: <p>Suppose that I have a sensor that can acquire samples $X[k]$ of the Fourier transform of an unknown signal $Y[t]$. An example is MRI, where the acquired data is in $k-$space. Now suppose that the unknown signal $Y[t]$ is known to be real and non-negative. My question is: is there a principled way to incorp... | https://dsp.stackexchange.com/questions/9220/spectral-analysis-of-positive-signals |
Question: <p>Suppose we have a sequence of still images each of which has been contaminated by some particles(ex, dust/sand/smoke) making the images very poor in certain areas.</p>
<p>What approach would be best to teach image regeneration using multiple frames? The simplest technique is to simply find a way to detect ... | https://dsp.stackexchange.com/questions/70972/multi-frame-image-restoration |
Question: <p>One of the benefits of DWT is that it is an orthonormal transform. </p>
<p>There are statements that the energy of noise component mainly concentrates on the high-frequency (detail) part and distributes homogeneously. The energy of noise component is included in more wavelet coefficients with smaller ampl... | https://dsp.stackexchange.com/questions/37932/additive-white-gaussian-noise-awgn-and-undecimated-dwt |
Question: <p>Let's say I have an electronic system that's taking a measurement. It provides a simple bipolar excitation current to a resistive load (bipolar square wave so as to cancel out thermal emf), puts it through an analog front end and some anti-aliasing, into an ADC.</p>
<p>What I'm thinking is if during calibr... | https://dsp.stackexchange.com/questions/84149/if-i-know-the-rms-noise-the-variance-of-a-dc-measurement-can-i-simply-subtract |
Question: <p>I have accelerometer signal, which is preprocessed by the actigraph on-device. Original sampling rate is 32 Hz, but activity count is summed for every minute, so I have a signal with 1 measurement per minute.</p>
<p>For denoising and to analyze long-term dependencies (my data spans several days), especiall... | https://dsp.stackexchange.com/questions/76845/sampling-frequency-after-aggregations |
Question: <p>I am interested in removing oscillations from a signal to capture the lower-frequency variations, similar to the objective of <a href="https://dsp.stackexchange.com/questions/9671/how-to-remove-the-periodic-oscillations-from-a-signal">this problem</a>. The oscillations vary in frequency in the time domain,... | https://dsp.stackexchange.com/questions/15171/algorithms-for-removing-oscillations |
Question: <p>I have a stereo music signal corrupted by strong sinusoidal noise that varies over time. Here is the spectrogram of Left channel I plotted with Matlab.
As you can see there are 3 or 4 strong harmonics with frequency that varies over time.</p>
<p><a href="https://i.sstatic.net/noNzA.png" rel="nofollow nor... | https://dsp.stackexchange.com/questions/46033/filter-away-sinusoidal-noise-properly |
Question: <p>I have noisy images from which I extract the contours using OpencCV's <code>findCountours</code>, which performs binarization internally. This results in innumerable small outlines made of three or four pixels, which I would like to avoid.</p>
<p>I want to discard these, either before extracting the conto... | https://dsp.stackexchange.com/questions/59583/size-filtering-on-binary-images |
Question: <p>As the SNR function is not commutative (meaning different argument positions will lead to different output results), it makes me confused to use it as metric evaluation.</p>
<p>I have this 3 signal; those are X_test, y_test, and y_pred. Those are common naming conventions for supervised learning models. So... | https://dsp.stackexchange.com/questions/94229/using-signal-to-noise-ratio-snr-formula-for-machine-learning-metric-evaluation |
Question: <p>I understand tha the wavelet transform is about computing the coefficients to assign to scaled and translated versions of the chosen mother wavelet. The coefficients measure the correlation between the signal and shifted/scaled wavelet. That said, I know that the CWT is used to compute the scalogram while ... | https://dsp.stackexchange.com/questions/93387/wavelet-transform-scalogram-detail-and-approximation-coefficients |
Question: <p>I am looking for a good introduction to wavelets and wavelet transforms.</p>
<p>that covers the following: Vector Spaces – Properties– Dot Product – Basis – Dimension, Orthogonality and Orthonormality – Relationship Between Vectors and Signals – Signal Spaces – Concept of Convergence – Hilbert Spaces for ... | https://dsp.stackexchange.com/questions/14109/need-to-learn-wavelet-suggest-steps-and-resources |
Question: <p>I am using MATLAB in order to denoise and remove interferences on a signal.</p>
<p>I used <code>wdenoise</code> to denoise my signal which works by setting a threshold (for example SURE) for each scale and set all coefficients below this threshold to zero (these coefficients represents noise). It works pre... | https://dsp.stackexchange.com/questions/74625/detecting-and-removing-interferences-from-a-signal |
Question: <p>Actually I want to denoise a signal. I know how can I implement FFT in python to denoise it. This is the implementation which I use(From <a href="https://www.kaggle.com/theoviel/fast-fourier-transform-denoising" rel="nofollow noreferrer">this</a> Kaggle notebook):
<a href="https://i.sstatic.net/qhN9h.png" ... | https://dsp.stackexchange.com/questions/69576/implementation-of-cepstrum-in-python |
Question: <p>I have a signal S, which needs to be split into two components Sx and Sy.</p>
<p>And I have a signal X, which is a reference signal corresponding to Sx. </p>
<p>I need to perform this split of S and check that resulting Sy is ~Y and Sx ~X (I can use X in the process of filtering\separation, but not Y). <... | https://dsp.stackexchange.com/questions/47667/correlated-signals-separation-with-reference |
Question: <p>I'm currently working on rectifying a respiratory noisy signal shown below:</p>
<p><a href="https://i.sstatic.net/l90XF.jpg" rel="nofollow noreferrer"><img src="https://i.sstatic.net/l90XF.jpg" alt="enter image description here"></a></p>
<p>I've already tried to filter the noise as you can see in the ima... | https://dsp.stackexchange.com/questions/30444/noisy-signal-filtering-matlab |
Question: <p>I'm trying to denoise the signal by performing PSD analysis and followed by IFFT. Ultimately, I want to generate Force and Displacement plots from the denoised acceleration signal.</p>
<p>Noisy Acceleration Signal(<span class="math-container">$a_z$</span> vs t):</p>
<p><a href="https://i.sstatic.net/nNBVe.... | https://dsp.stackexchange.com/questions/74449/fft-psd-ifft-analysis-on-single-axis-piezoelectric-accelerometer-signals-for-cur |
Question: <p>My colleagues and I are arguing about how to smooth a damped wave signal.</p>
<p>This signal is corrupted by white noise of a steady magnitude.</p>
<p>However the signal damps out as it goes along. So, the SNR and the noise as a standard dev of the signal range, both decrease.</p>
<p>My colleagues say I... | https://dsp.stackexchange.com/questions/34143/smoothing-for-damped-wave-signal-fixed-variance-noise-but-changing-snr |
Question: <p>I have a noisy signal file in Matlab and I have to denoise the polluted signal using a discrete Fourier transform.</p>
<p>I'm asked to perform the fourier transform, then take its absolute value. Then study/examine the absolute values to then implement a low-pass filter for the actual sound (and correspon... | https://dsp.stackexchange.com/questions/14897/intro-question-to-signal-processing-low-pass-filter |
Question: <p>I am trying to understand how wavelet transform can be used to denoise a time series or signal and how to plot the scalogram image. My signal has a lot of fluctuations and as such I am finding it difficult to denoise. Morevoer, to plot the scalogram I need to know the frequency. I don't know what is the fr... | https://dsp.stackexchange.com/questions/71212/understanding-noise-removal-method-using-wavelets |
Question: <h1>Question</h1>
<p>Please help understand the cause and solution of the problem of unable to remove the audio noise by using the signal power as filter threshold. If the approach is not correct, please advise the better or correct ways.</p>
<h1>Background</h1>
<p>Try to remove the audio noises in the <a hre... | https://dsp.stackexchange.com/questions/94622/unable-to-remove-audio-noise-using-weak-signal-power-calculated-from-fft-as-thre |
Question: <p>I am doing mtech project now.
Actually I am working on discrete wavelet transform.I have done till wavelet decomposition. I have been stuck in reconstructing the signal back to original .please help me out.</p>
<p>code--</p>
<pre><code>f=10;
fs=200;
amp_x = 14;
% amplitude for sinusodial 2
amp_y = 9;
% T... | https://dsp.stackexchange.com/questions/48191/wavelet-reconstruction |
Question: <p>I'm new to signal processing, and I believe to understand what additive noise is. However, while reading several ECG denoising papers, I've noticed that some combine multiple noise sources from the <a href="https://physionet.org/content/nstdb/1.0.0/" rel="nofollow noreferrer">MIT BIH Noise Stress Test data... | https://dsp.stackexchange.com/questions/85700/adding-multiple-noise-sources-with-target-snr-with-ecg-data-using-the-mit-bih-no |
Question: <p>I am developing a computer program that removes or reduces the background noise from an audio file using the Simple Kalman Filter. I have implemented the Kalman Filter and a way of obtaining the "sample buffer" for the audio file.</p>
<p>I understand how the Kalman Filter works in terms of the pu... | https://dsp.stackexchange.com/questions/81547/what-do-i-measure-in-a-sound-sample-buffer-to-remove-noise-from-an-audio-file-us |
Question: <p>I'm planning to acquire between 50k and 200k image per day with a 50MPixels (or 68MPixels or 130MPixels) sensor; I'll be acquiring the raw data (10 or 12 or 14 bits) from the sensor through SLVS-EC and create a raw file of my own design. The raw bitrate from the sensor may go up to 75.2 Gbps.</p>
<p>I may ... | https://dsp.stackexchange.com/questions/81432/custom-raw-compression |
Question: <p>I have a BIDMC PPG signals. I'm trying to add accelerometer data as a noise to PPG signals and trying to denoise it using deep generative models like GANs, VAEs, Diffusion Models. So, what can be the best way to add noise so that the it wouldn't distort the signal so much that we lose all the original info... | https://dsp.stackexchange.com/questions/93172/what-is-the-best-to-add-accelerometer-noise-to-ppg-signals |
Question: <p>this is a question that has interested me for some time now, mainly because I'm working on noise reduction for an existing speech recognition system myself.</p>
<p>Most papers on noise reduction techniques seem to focus on how to make speech more intelligible for humans, or how to improve vague terms like... | https://dsp.stackexchange.com/questions/42422/how-does-noise-reduction-for-speech-recognition-differ-from-noise-reduction-that |
Question: <p>I got a problem when I was trying to denoise a signal. Actually, it is a simple simulation. The signal is the addition of a step signal (The info I wish to get) and a sinusoidal one (the noise I wish to remove). See below<img src="https://i.sstatic.net/NcyNr.jpg" alt="(a) The noise (b) The signal and (c) S... | https://dsp.stackexchange.com/questions/23229/why-adaptive-filter-does-not-work-in-my-application |
Question: <p>first I need to mention I'm new to signal processing. here is the situation:
I have an acceleration time-series derived from an accelerometer</p>
<p><a href="https://i.sstatic.net/rZjYW.jpg" rel="nofollow noreferrer"><img src="https://i.sstatic.net/rZjYW.jpg" alt="Acceleration time series"></a></p>
<p>I ... | https://dsp.stackexchange.com/questions/48105/instantaneous-velocity-and-displacement-from-acceleration-signal-using-a-proper |
Question: <p>I am an ECE student, and I am doing my project on underwater communication.</p>
<p>The main concept of my project is to denoise the signal by using UFB and WPD algorithms, and giving that output to a matched filter. I have already generated the sinewave and added noise and given it to the matched filter. ... | https://dsp.stackexchange.com/questions/14258/how-can-i-apply-a-gabor-filter-to-a-sine-waveform |
Question: <p>I am using this as my reference:
<a href="https://www.mathworks.com/help/deeplearning/ug/denoise-speech-using-deep-learning-networks.html" rel="nofollow noreferrer">https://www.mathworks.com/help/deeplearning/ug/denoise-speech-using-deep-learning-networks.html</a></p>
<blockquote>
<p>Add washing machine no... | https://dsp.stackexchange.com/questions/94774/am-i-generating-audio-signal-with-a-given-particular-snr-value-correctly |
Question: <p>I tried to apply a MATLAB Empirical Mode Decomposition routine to denoise a signal, basically retaining only the last IMFs, with a criterion based on the mode energy.</p>
<p>To validate the routine, I have built a synthetic signal with added Gaussian noise + a sinusoidal disturbance. I noticed that the EM... | https://dsp.stackexchange.com/questions/61692/noise-sensitivity-of-the-classical-empirical-mode-decomposition-routine |
Question: <p>Assuming a DWT of a signal of length 8 with Haar filter taps. At the lowest level, I end up with a3 and d3 both of length 1, d2 of length 2 and d1 of length 4 which is the same number of coefficients of the original signal and which I can plot on a dyadic grid.</p>
<p>In contrast to the WPT in the DWT ther... | https://dsp.stackexchange.com/questions/68852/some-questions-about-the-intuition-of-the-dwt |
Question: <p>I am reading out the movement of a motor arm using a Hall sensor and a magnet pair. The hall sensor measures the distance between the sensor and the magnet.
The motor arm is being moved with a band-limited Gaussian white-noise signal (0-300 Hz). Due to the movement being very small, the stimulus being a wh... | https://dsp.stackexchange.com/questions/92054/what-is-the-best-method-to-filter-a-signal-where-baseline-and-the-signal-of-inte |
Question: <p>I think I understand what happens when I shift the argument, but I'm not sure what should happen when the signal is compressed or expanded. In particular I'm trying to figure out what happens when the convolution where <span class="math-container">$y(t)=x(t)*h(t)$</span> is changed to <span class="math-con... | https://dsp.stackexchange.com/questions/70523/convolutions-with-changes-to-the-argument |
Question: <p>I cant determine a type of the following code:</p>
<pre><code>G_1=1 // g_1=1
G_2=11 // g_2=x+1
</code></pre>
<p>Accorsing to description, it is convolutional code but I dont understand the type ( code rate)?</p>
Answer: <p>It is a <em>systematic</em> rate-<span class="math-container">$\frac 12$</span... | https://dsp.stackexchange.com/questions/72067/generator-matrix-coefficient-in-convolutional-code |
Question: <p>I have an input signal $$x(n)=\left(3,-5,4,3,-1,-2,6,8\right), n=-3,..,4$$ and impulse response $$h(n)=(1,-1,1,-1,1), n=-1,...,3.$$</p>
<p>The convolution between $x(n)$ and $h(n)$ is </p>
<p>$$x(n)*h(n)=\sum_{-\infty}^\infty x(k)h(n-k)$$
If I'm not mistaken, I can reduce this to the finite sum
$$=x(-3)... | https://dsp.stackexchange.com/questions/3529/verifying-the-computation-of-a-convolution |
Question: <p>For a project I need to do convolution and i use gpu for calculations. Sometimes I have to deal with kernel sizes of 50x50 and this size of kernel is sufficiently large that it chokes the gpu. (not enough memory svailable by the gpu) I need to find a way to break the kernel into smaller sizes (8x8 or simil... | https://dsp.stackexchange.com/questions/6298/breaking-a-convolution-into-smaller-pieces |
Question: <p>Could it bring any meaning? Is this kind of convolution be useful is solving anything?</p>
Answer: <p>No, if the two sequences are random then convolving them is not useful.</p>
| https://dsp.stackexchange.com/questions/11012/is-it-meaningful-to-find-linear-convolution-of-just-two-random-sequences |
Question: <p>I am asked to find a pair of sequences, each one of which contains three distinct values and where the convolution is an all-zero sequence.</p>
<p>I've came to the conclusion that one of the sequences must be infinite but just can't think of any examples...</p>
Answer: <p>thanks for the input. I found a ... | https://dsp.stackexchange.com/questions/11518/convolution-that-results-in-an-all-zero-sequence |
Question: <p>I want to do a convolution from the bottom right and not as usual from the top left. I think conv2 of Matlab only does from the top left.</p>
<p>How can I do a convolution in Matlab from the bottom right?</p>
<p>Thank you very much for the answers.</p>
Answer: <p>I hope I understand your question correc... | https://dsp.stackexchange.com/questions/16232/convolution-from-bottom-right |
Question: <p>Is it possible to write the full convolution between the image and the filter as a matrix multiplication operation? If so, can someone give a simple example of how that works?</p>
Answer: | https://dsp.stackexchange.com/questions/26176/convolution-equivalent-to-matrix-multiplication |
Question: <p>Ladies, Gentlemen,
Because I am homeless (in France), and get internet access only in public libraries with many restrictions in timing etc, I can not write down even a simple convolution. So I ask you post here the convolution of some sinusoidal function with itshelf. </p>
<p>For example: 0.95105651629... | https://dsp.stackexchange.com/questions/27154/can-you-present-the-convolution-of-sinusoidal-with-itself |
Question: <p>Ladies, Gentlemen, </p>
<p>In my last question I asked you present the convolution of sinusoidal with itself. I accept Mr Peter K.'s answer. Now my question is much more important. Is output of convolution of sinusoidal with itself, also sinusoidal? </p>
<p>Regards </p>
Answer: | https://dsp.stackexchange.com/questions/27161/is-output-of-convolution-of-sinusoidal-with-itself-also-sinusoidal |
Question: <p>As I know, if we want to know the LTI system output, then we do convolution between input x[n] and impulse response h[n].
but actually,in this question, I want to know what does convolution has the behind meaning. </p>
<p>Why do we do convolution(sum of products) not just using adder or multiplier for cal... | https://dsp.stackexchange.com/questions/29594/what-does-convolution-has-the-meaning |
Question: <p>The Winnograd algorithm can be used to reduce the number of multiplications in convolution. Is there a known method of reducing the number of additions in convolution?</p>
Answer: <p>One method which attracted my attention recently is <a href="http://www.rle.mit.edu/dspg/documents/Discrete-TimeRandom.pdf"... | https://dsp.stackexchange.com/questions/42618/minimal-number-of-additions-in-convolution |
Question: <p>While considering an input to be periodic of Period N, can the impulse response not be periodic of period greater than N ? If it can be, how can one compute it’s convolution?</p>
Answer: <p>Circular convolution assumes that all signals ($x[n]$, $h[n]$ and $y[n]$) are periodic in the same integer $L$. When... | https://dsp.stackexchange.com/questions/44584/impulse-response-time-period-in-circular-convolution |
Question: <p>I have been reading this old paper by Steven Jacques, a titan in the world of using Monte-Carlo methods for photon propagation and distributions.</p>
<p><a href="https://www.osapublishing.org/ao/abstract.cfm?uri=ao-28-20-4286" rel="nofollow noreferrer">https://www.osapublishing.org/ao/abstract.cfm?uri=ao-... | https://dsp.stackexchange.com/questions/45175/where-does-convolution-fit-into-tracking-fluorescent-photons-using-mc-models |
Question: <p>What is the maximum count of non-zero elements, that can a linear convolution of discrete signals of "lengths" 5 and 7 have?</p>
<p>When I label the length of signal $x[n]$ as $M$, and the length of
signal $h[n]$ as $N$, then the length of their convolution is the signal $y[n]=M+N-1$. However this is not ... | https://dsp.stackexchange.com/questions/45503/linear-convolution-of-discrete-signals-with-defined-lengths |
Question: <p>I understand convolution is linear combination of delayed impulses of decomposed signal.</p>
<p>$$\int_{-\infty}^{+\infty} x(\tau)h(t-\tau)\mathrm{d}\tau = g(t)$$</p>
<p>I want to know about these decomposed signals.</p>
<p>If I have my $g(t)$, can I decompose it in different ways?
If yes what are tho... | https://dsp.stackexchange.com/questions/49519/convolution-sum |
Question: <p>Is graphical method the best way to solve convolution questions whether they be discrete or continuous?</p>
<p>I was given a question:</p>
<p><span class="math-container">$$x[n]=1$$</span> <span class="math-container">$$0\leq n \leq 4 $$</span></p>
<p><span class="math-container">$$h[n]=\alpha^n$$</spa... | https://dsp.stackexchange.com/questions/52414/graphical-method-for-convolution |
Question: <p>I know how we compute the <span class="math-container">$N$</span> point circular convolution of a two causal signals, but what about a signal such as <span class="math-container">$\{1,-1,2,1\}$</span> where, the position of 2 is the <span class="math-container">$0^{th}$</span> index and the other sequence ... | https://dsp.stackexchange.com/questions/53955/circular-convolution-of-a-non-causal-signal |
Question: <p>when I take inverse Laplace transform of a system transfer function \</p>
<p>Lets say LPF whose TF is </p>
<p><span class="math-container">$$\frac{Y(s)}{X(s)} \triangleq H(s) = \frac{W}{s+W} $$</span></p>
<p>the inverse Laplace/impulse response is </p>
<p><span class="math-container">$$h(t) = We^{-Wt}u... | https://dsp.stackexchange.com/questions/58896/impulse-response-convolution-and-normalization2 |
Question: <p>As I know, convolution is defined as $f(x)*g(x) = \int_{-\infty}^{+\infty}f(\tau)g(x-\tau)d_{\tau}$, but what if we want to convolve $f(2x)$ and $g(3x)$? It should be like $f(2x)*g(3x) = \int_{-\infty}^{+\infty}f(2\tau)g(3x-\tau)d_{\tau}$ or $f(2x)*g(3x) = \int_{-\infty}^{+\infty}f(2\tau)g(3x-3\tau)d_{\tau... | https://dsp.stackexchange.com/questions/35479/convolution-of-f2x-and-g3x |
Question: <p>How do I perform the linear convolution of the following two signals? I am having trouble relating $x[n]$ to a series of points, like was given by $h[n]$ below.</p>
<p>$$x[n] = e^{j\pi n}\left\{{u[n]}-u[n-8]\right\}\quad\text{and}\quad h[n] = (-1)^{n}\left\{{u[n]}-u[n-4]\right\}$$</p>
<p>$x[n]$ is a fin... | https://dsp.stackexchange.com/questions/35736/how-to-take-the-linear-convolution-of-these-two-signals |
Question: <p>my goal is to scale desired, interfering signal at the receiver in order to achieve desired SIR (signal to interference ratio) for beamforming (source separation) application.</p>
<p>Let be:</p>
<ul>
<li><span class="math-container">$s(t)$</span> a known speech signal with zero mean <span class="math-con... | https://dsp.stackexchange.com/questions/62619/variance-of-zero-mean-signal-after-convolution-for-sir-computation |
Question: <p>While reading this <a href="https://arxiv.org/pdf/1811.08383.pdf" rel="nofollow noreferrer">paper</a>, I came across the following paragraph -</p>
<p>"Our intuition is: the convolution operation consists of shift and multiply-accumulate.
We shift in the time dimension by ±1 and fold the multiply-accum... | https://dsp.stackexchange.com/questions/78079/what-does-shift-and-multiply-accumulate-mean-in-terms-of-convolutional-neural-ne |
Question: <p>This will be maybe quite easy fore somebody but I am not sure how to solve it. If I have a signal which is equal to</p>
<p>$$
y(n)=x(n)\star g(n), \quad n\in[0,1,...,N]
$$
where $\star$ is convolution operator, how do I get expression for taking every $K^{\textrm{th}}$ sample of $y(n)$, i.e., $y(Kn)$?</p>... | https://dsp.stackexchange.com/questions/32447/convolution-problem |
Question: <p>circular convolution $x_{_3p}[n]$ = $x_1[n]~\circledast_N ~x_2[n]$</p>
<p>is a period version of the linear convolution $x_{_3p}[n]=x_1[n] * x_2[n]$ </p>
<p>The length of $x_1[n]$ and $x_2[n]$ are $L$ ($n\in[0,\ldots,L-1]$) and $P$ ($n\in[0,\ldots,P-1]$) points, respectively.</p>
<p>The minimum value ... | https://dsp.stackexchange.com/questions/37107/the-sub-range-of-circular-and-linear-convolution |
Question: <p>I've just begun learning about signal processing on my own, and after reading about convolution I'm curious about <em>why</em> convolution reverb works. That is given a recorded impulse <span class="math-container">$\hat{f}$</span> and an audio signal <span class="math-container">$g$</span>, why does the c... | https://dsp.stackexchange.com/questions/79604/why-does-convolution-reverb-work |
Question: <p>I am attempting to calculate the spectrum of a pulse that has undergone sum-frequency generation (in this case it is a gaussian, so it is correct to also say frequency doubling/Second harmonic generation). The SHG signal in the frequency domain is given as,</p>
<p><span class="math-container">$$E_{SHG}(2\o... | https://dsp.stackexchange.com/questions/80989/plot-the-sum-frequency-generation-spectrum-using-convolution-matlab |
Question: <p>I've been trying to find a rigorous proof of the dual convolution / multiplication, but I found nothing, can you give me a hand with this?</p>
<p><span class="math-container">\begin{align}
f(t) * g(t) &\overset{\mathcal F}{\iff} F(j\omega)G(j\omega)\\
f(t)g(t) &\overset{\mathcal F}{\iff}\frac1{2\p... | https://dsp.stackexchange.com/questions/53921/the-proof-of-the-dual-convolution-multiplication-properties |
Question: <p>I saw a video where this guy used a program to do a frequency analysis on a voice signal and a sawtooth wave (I'm assuming this was FFT). Then he saved the plots as images and combined them pixel by pixel through multiplication using photoshop. He then put this picture back into the program and it did the ... | https://dsp.stackexchange.com/questions/3045/convolving-two-signals |
Question: <p>I'm interested in learning how telephones work, so I did a little bit of reading about signal processing. When I came up with the word convolution, I quickly realized the importance of this term.</p>
<p>To begin with, I want to know how classic analog telephones worked. The apparent simplicity of their de... | https://dsp.stackexchange.com/questions/2891/what-type-of-circuit-is-responsible-for-convolution-in-the-classic-analog-teleph |
Question: <p>Suppose $x[n]$ and $y[n]$ are two nonzero signals(i.e., $x[n] \neq 0$ for at least one value of n and similarly for $y[n]$).Can the convolution between $x[n]$ and $y[n]$ result in an identically zero signal? In other words, is it possible that $\displaystyle\sum_{k = -\infty}^{k = +\infty}x[k]y[n-k] = 0$ ... | https://dsp.stackexchange.com/questions/11262/can-two-nonzero-signals-xn-and-yn-give-a-zero-convolution |
Question: <p>I forgot a very simple fact and I am now struggling to find reference that proves this basic property?</p>
<p>How would you prove that for a single in single out system, the system output is the impulse response convoluted with the input?</p>
Answer: <p>Because it is the response of the system when an un... | https://dsp.stackexchange.com/questions/20455/basic-question-why-is-the-output-of-a-system-the-convolution-between-the-impuls |
Question: <p>I'd like to understand how to calculate the cyclic convolution as well as understand what that means exactly. How should I go about finding the output for various periods for a system?</p>
<p>I have an example: </p>
<p>$$
x(n) =
\begin{cases}
n & \textrm{for} \quad 1 \leq n \leq 3\\ 0 &\textrm{o... | https://dsp.stackexchange.com/questions/7979/how-can-i-calculate-the-cyclic-periodic-convolution |
Question: <p>I wonder if anyone has any experience with auto-convolution. In particular i'm interested in understanding the physical interpretation of it.
I understand what convolution, correlation and auto-correlation are, also i'm aware that the definition of auto-convolution will be something like
$$f\ast f = \int_... | https://dsp.stackexchange.com/questions/22463/applications-or-physical-interpretation-of-auto-convolution |
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