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5 views

Need some references on sound quality evaluation and syncing

I have to do a project where I'm receiving the same sound signal from different channels (with different offsets), but they may not be consistent all the time. At any given time, I should decide which ...
1
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1answer
31 views

Why Wiener filter not IIR

I would like to limit discussion to discrete time causal Wiener filter. By definition it is an FIR filter, and it also has optimality under Mean Square Error criterion within the class of linear ...
0
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0answers
10 views

Should PSD be smoothed for SNR computation in frequency domain?

When taking the Power Spectral Density of a short duration signal (say 1 second, sampled at 4096 Hz), should it be smoothed to compute SNR? I want to computed the matched filter SNR, perfectly knowing ...
0
votes
1answer
29 views

Can Kalman filter remove 50 Hz noise?

I'm dealing with a brain stimulation. My EEG contains large spikes (>3 mV) when stimulation occurs. I want to remove the 50 Hz noise, but I can't use notch filter because it creates large artifacts. ...
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0answers
10 views

Inversion problem for big dataset

Suppose my goal is to solve for $x$ in $Ax = b$ using CG method and $A$ is Toeplitz. The problem is that $b$ is extremely large in size and I can't just read in the whole vector $b$ and then solve for ...
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0answers
12 views

Convert Analog signal to digital image

I am a freshman studying computer engineering. I read so many books on DSP, Filter Design, Fourier transform(The math is intimidating). I read articles on Nasa telescope reading wave/ray from outer ...
1
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1answer
30 views

Laplace transform of a finite duration signal

Consider the following signal: $$ x(t) = e^{-2t}[u(t) - u(t-5)] $$ This signal exists only from 0 to 5 time units. Elsewhere, it is zero. Now, let's find the laplace transform of this signal using ...
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0answers
6 views

Given local responses by a bank of equally spaced (log-)Gabor filters, how can we estimate the response of an intermediate-scale filter?

Consider a grayscale image convolved with a bank of 2D wavelet quadrature pairs – in my case, log-Gabor filters. I have eight filters. For simplicity, let's say they are all vertically oriented, and ...
0
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1answer
32 views

Generate signals with a particular variance and SNR

Consider a system model of the form: $y_n = ax_n + v_n$ where $x_n$ is the input that is corrupted by $v_n$ which is an Additive White Gaussian Noise of zero-mean and variance 1 for $n = 1,2,...,N$ ...
-1
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0answers
23 views

Probability of bit error

How to solve this question I am getting 1/2erfc(.5) which is not close to any option
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1answer
25 views

How to desing a digital filter in python that will run over an uC?

I am trying to implement a digital filter over a uC (it doesn't really matter which filter and which micro controller because I'm looking forward to learn how to do it in the future with different ...
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0answers
28 views

ACF expression using FFT method

It is known that the ACF of a 2D digital image can be obtained by computing the inverse Fourier transform ...
1
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2answers
37 views

Building periodic sequences from finite-support sequences

Given a discrete-time finite-support signal x[n] $$x[n] = \left\{ {\begin{array}{*{20}{l}} {{{( - 1)}^n}n}&{{\rm{ }}n = 1,2,3}\\ 0&{{\rm{otherwise}}} \end{array}} \right.$$ And consider also ...
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1answer
15 views

How to partition collagen into separate fibers?

I have a picture representing collagen fibers of a tissue: Image is binary consisting of a background (pixels with value 0) and white collagen (pixels with value 1). A zoomed in section of an image ...
-1
votes
1answer
39 views

Real time FFT & IFFT with low pass filter

I am processing the signal from MPU6050. Applying FIR filter in the frequency domain and then taking IFFT to get filtered signal but getting some spikes in the output signal. Searched a lot about it ...
0
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1answer
39 views

Is it correct to assume that $(-1)^n = \cos(\pi n)$ while computing the DTFT of $(-1)^n$?

$\cos(\pi n)$ fluctuates between $-1$ and $1$ depending on the values of $n$, and it would be the same as computing it with an exponential but the problem is that I just get part of the right answer......
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0answers
13 views

Does the set of Hermitian Wavelets include fractional derivatives?

According to Wikipedia, Hermitian wavelets, "The $n^{{\textrm {th}}}$ Hermitian wavelet is defined as the $n^{{\textrm {th}}}$ derivative of a Gaussian distribution." Are the wavelets defined by ...
1
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0answers
11 views

Removing striped noise from an image

I was just wondering if anyone could explain to me the approach one would take to removing striped noise from the fourier domain of an image. I was reading an article about MRI image from 1 just ...
0
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1answer
28 views

Can we normalize data to unit variance without distorting the phase?

Consider we have one dimension time samples. The noise in the samples made some portions of the time samples amplitude very high. Obviously the short variance for those time samples will have high ...
3
votes
1answer
72 views

Optimal trade-off between oversampling and filter length

For some sampling-frequency-preserving operations on Nyquist–Shannon sampled signals, such as: a shift a.k.a. translation, and differentiation by applying a derivative filter a.k.a. gradient filter, ...
0
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0answers
38 views

System identification with limited bandwidth

Given a FIR filter $h[n]$. Its action can described as: $$ \mathbf{y} = \mathbf{H} \mathbf{x} \\ \mathbf{y} = \mathbf{X} \mathbf{h} $$ where $\mathbf{H}$ and $\mathbf{X}$ is a Toeplitz matrix. If $h$...
0
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1answer
25 views

Polyphase components Spectrum formula in Discrete time

I am trying to understand the meaning behind some of the components of the formula for polyphase components in discrete time. Note that $\Omega$ indicates discrete in this notation and the formula is ...
6
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1answer
3k views

What is a Kravchuk transform and how is it related to Fourier transforms?

It has been stated here : https://phys.org/news/2019-07-quantum-technology.html that the the so-called Kravchuk transform is very important in the field of image processing and possibly in signal ...
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1answer
42 views

Audio Processing Glossary

I'm new to audio processing and I hope here be a good place to ask about the definition of terms in this context. My question is what is difference between sound, audio, voice, speech and tone, from ...
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0answers
42 views

Proof of weak stationary random process autocovariance always goes to zero?

Professor told me that if a random process is weak stationary, and it does not feature any periodic component, then its autocovariance always goes to zero. I can intuitively understand it, however, ...
0
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2answers
49 views

Fractional powers of complex numbers (DSPrelated computation)

I am puzzled by this computation: https://www.dsprelated.com/showarticle/754.php (c.f. quote) Raising $ i $ to integer powers results in traversing the unitcircle in the same number of quarter ...
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1answer
13 views

Gender classification using Periocular Region

I have a dataset of the periocular region, I have images of the male and female periocular region but they are only labeled as left and right periocular region, Folder is a mixture of male and female ...
0
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1answer
25 views

How to sketch this multirate system spectrum?

In the following system: The signal x(n) is upsampled by 2 and then filtered. The signal and the filter have the following spectrum: After upsampling the spectrum of X would look the same except ...
1
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0answers
19 views

Wignerville of market data

I am trying to get some insight into market data, in this case the stock KO. Here is the chart: If I take the wignerville of ...
0
votes
2answers
40 views

White noise and its phase after narrowband bandpass filtering

Suppose $w(t)$ is a white noise with uniform spectral density $N_0/2$. It is bandpass filtered to get a narrowband white noise $n(t)$ for $f_c - B_T/2 \leqslant |f| \leqslant f_c + B_T/2$. We write ...
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1answer
22 views

Graph Fourier transform: the adjoint notation for the eigenbasis matrix

I already asked this question here but there is no response. I'd like to ask this question in signal processing domain. It is well-known that for a real symmetric matrix $L$ (here, graph ...
0
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0answers
26 views

How to use a size N complex DFT to compute a size N/2 real DCT? [duplicate]

Can someone (maybe @hotpaw?) Explain How to use a size N complex DFT to compute a size N/2 real DCT? Also, I noticed that the DCT matrix (which can be obtained in Matlab by dctmtx(n)) contains dct ...
0
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1answer
61 views

How can I “smooth” square wave/pulse data to remove/reduce harmonics?

First, I have reviewed close-match questions, but can't find something that seems to match what I'm looking for. Also, it's been 30 years since college, so forgive me for forgetting stuff.. :) I am ...
0
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1answer
29 views

High resolution spectrograms

I have a recorded audio signal that I would like to convert into spectrogram with the highest possible yield of information. The audio clips I am working with is about 30 ms long and contains ...
0
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0answers
16 views

SNR computation in frequency domain with scipy.fftpack.fft

I have a noisy time series (gaussian coloured noise) to which I add a signal. I call the sum of noise+signal a segment. In the picture you can see an instance: I want to compute the signal-to-noise ...
1
vote
1answer
23 views

Method to rescale signals to mean length

I have a set of signals of varying lengths. I have provided an example of the same below - Their lengths vary between 186 to 202, with a mean length of 197. I am looking to rescale them to the mean ...
0
votes
2answers
43 views

Advantages of an orthogonal filterbank

What are the advantages orthogonal filterbanks such as the DFT or DCT have over non-orthogonal filterbanks? I have heard quite often that they have attributes that are desirable when modifying the ...
0
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1answer
53 views

Practical question about DFT in Matlab

Please consider this piece of code: ...
0
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0answers
37 views

Convex Optimization with $ {L}_{1, 2} $ Regularization Term

I have an optimization problem such as follow: $$\underset{X}{\operatorname{argmin}}\sum _s\left \| T_sX_{:,s})-Y_{:,s}) \right \|^2_2 +\lambda\left \| GX \right \|_{2,1} \tag{1}$$ I have introduced a ...
0
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0answers
28 views

How to remove sum and difference terms while computing frequency from fft?

I am currently operating in vhf band AND trying to detect frequencies using Fast Fourier transform thresholding method. While detection of multiple frequencies , i received spurs(May not appropriate ...
0
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2answers
37 views

Relation between $X(f)$ and $S_x(f)$

We know that for a signal $x(t)$, it is related to $R_x(\tau)$ as, $$R_x(\tau) = \int_{-\infty}^{\infty}x(t)x(t-\tau)dt$$. $\\$We also know that $$R_x(\tau) \rightleftharpoons S_x(f)$$ $\\$How do we ...
0
votes
2answers
59 views

Using Linear Algebra for DSP

I am new to DSP in general, but can one use linear algebra by itself to characterize a signal? My first idea was to transform the signal into a matrix and then use the determinate to characteristic ...
0
votes
1answer
50 views

Side Lobes in the Magnitude Response of a Low Pass FIR Filter

I have the impulse response (from the filter coefficients) of an FIR filter obtained from MATLAB's "interp" function using the command: [y, b] = interp(x, 5); % where b contains the interpolation ...
0
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0answers
23 views

Why does FISTA algorithm not work for signed signals?

Using the FISTA Algorithm for compressive sensing from https://github.com/tiepvupsu/FISTA, I created the matlab example below. I created 2 sparse signals x_signed and x_pos, where the latter only ...
0
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1answer
33 views

Loudness detection for natural conversation

I'm working on a project where I want to be able to analyze natural conversation as an audio file and determine the points in the conversation where the speech is louder than normal i.e. be able to ...
0
votes
3answers
50 views

What's the difference between calculating the FFT of a constant sound for 5 seconds versus every 1 second and taking the average?

I'm interested in learning the frequency spectrum of a constant sound. However, there is background noise. My plan is to record the sound for 1 second, take the FFT, and then doing this 5 times and ...
0
votes
0answers
27 views

Cascading filters at different sampling rates

We are currently designing a type 2 compensator $G_1$ (1 pole at the origin, 1 zero and 1 pole) to stabilize a power factor correction (PFC) circuitry. The crossover frequency is low - 2-3 Hz - and ...
0
votes
1answer
17 views

How to decode a Barker code

Let's suppose that I send the following sequence of bits: $x = [1, 0]$ I use a 7 length Barker code ($b = [−1,−1,−1,1,1,−1,1]$) in a BPSK modulation scheme, resulting in the following sequence: $...
0
votes
0answers
37 views

How can I normalize data taken from apple watch acelerometer?

I have triaxial data (X, Y, and Z) collected from the acelerometer of an apple watch, and from these data I want to conduct some analysis, such as gait analysis, physical activity, etc. I have ...
0
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0answers
22 views

Find LF component of AM signal

I'm trying to figure out how to find the low frequency component of an AM-signal when I have regained the carrier. So the signal is: $$U_{AM} = 2[3+0.4cos(2\pi\cdot2\cdot 10^3\cdot t)]\cdot sin(2\pi\...

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