Questions tagged [signal-analysis]

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53 views

How can we determine the channel impulse response using correlation process from the spectrum of the signal?

I am sending the pulsed signal from the transmitter antenna, and at the receiver side, I captured the received signal in the time domain, and also in the spectrum of the signal. How can I get the ...
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1answer
119 views

Facing problem in plotting histogram of DCT coefficient of an image

In digital image forensic, it is assumed that the histogram of DCT coefficients of the un-compressed natural image has the smooth histogram. However, the histogram of DCT coefficients of the ...
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3answers
116 views

Resample audio signal with a low factors

Currently, we need to handle a piece of an audio signal. We want to resample it with different factor rate (p/q) starting with 1.0002 to 0.9998 with a decrement of 0.000005. But Matlab function cannot ...
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121 views

Graph signal processing

What's the intuition behind a ''Graph fourier transform'' ? I'm not so much interested in mathematical details or technical applications. I'm trying to grasp what a graph fourier transform actually ...
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2answers
127 views

Calculating impulse response of system

Given is the illustrated circuit diagram of a linear, time-invariant, time-discrete system: How do I show that the total system has the impulse response $h[n] = aδ[n] + bδ [n - 1] + cδ [n - 2]$ and ...
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148 views

NMSE of complex numbers

Actually I am doing an RF measurement and this includes phase and power. i generate a list of powers ranging for example from (-50 to 40) dBm, while the phase rotate to make it for example spiral ...
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2answers
470 views

Quantify the difference between two audio spectrograms

I have two speech signals of the same length. They contain the exact same speech content but are recorded from two different microphones. I want to compare the differences between them. 1) Assuming ...
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32 views

Sourse separation from known underdetermined mixing matrix

How to recover uncorrelated N sources from given N-1 signals and known mixing matrix M, (e.g. 9x8 matrix)? If I just use pseudo-inverse matrix M+, my source estimates are correlated with each other ...
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0answers
62 views

Beamforming with NDP frames

During beamforming, the Tx first sends NDP Announcement (which is a broadcast frame) thereby reaching all Rx in its area. And then it follows by sending NDP. Is the 2nd frame (NDP) is also a ...
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138 views

i want to mute a particular frequency in real time audio

i want to mute a particular frequency range in real time audio for eg: in audio signal frequency above 3 kHz should be muted for specific interval of time.
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180 views

MATLAB remove noise

I am in trouble with my study, could you please help me. I have a set of data containing information about the signal that come from a preamplifier of the radiation detector system. After radiation ...
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49 views

Doppler Shift and Wireless Access Points

I am trying to design and implement a system that would calculate the velocity of a hand motion in smartwatch. The general idea is to calculate the Doppler Shift of each access point and find ...
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75 views

Calculating gyroscope data from accelerometer and attitude data

I am currently collecting accelerometer and attitude data using smartphone sensors. Data is collected at 100Hz over 2.5 seconds. Of which there are 250 accelerometer points and 250 points representing ...
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1answer
299 views

Finding baseline (reference) of nosiy data and lag/lead between 2 signals

I have 2 datasets which vary with time as shown in the figure - Sa – Red , Sb – BLACK . I am doing the analysis in R. The entire dataset and a segment of data from 30 - 31 s are shown below - - As ...
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247 views

How does bandwidth relate to the bitrate?

This might be a really trivial question, but I can't wrap my head around it. In almost every textbook, we're told that bandwidth (among power and noise), is the factor for both range and bitrate. I'...
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63 views

Sufficient conditions for exact signal recovery using OMP?

For a compressive sensing model : $$y_{_{MXN}}=A_{_{MXN}}x_{_{NX1}}$$ where $x$ is $K$ sparse, what is the sufficient condition for Orthogonal matching Pursuit (OMP) to exactly recover the data for ...
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56 views

Identifying an Event based on a Jump in Rolling Variance in Python

I am trying to figure out a way, in Python, how to identify when an event occurs, based on a jump in the rolling standard deviation. As shown in the plot below, around the 12000th sample, an ...
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331 views

How to detect overall error between two signals and also track changes occurred

I need to develop an algorithm that will compare two signals (1 Reference Signal and other is measured signal values from sensor) and generate some metric(s) to describe changes between them. I am not ...
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114 views

Significance of sequency ordering in Walsh-Hadamard matrices

So I've been doing some reading into Hadamard and related matrices (Slant, Walsh, , and have observed that there are three typical "orderings" of the rows based on various criterion. E.g. "Natural", "...
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38 views

finding the duration of a sequence of data

I need to find the duration of a sequence of data values that represents head yaw movements .where the positive values are head looking to right and negative values are head looking to left .the ...
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53 views

Impulse signal function

I am simulating an impulse signal of a resonant bearing fault with this formula: $$ y(k)=\sum_r A_r \sin\left(\displaystyle \frac{2\pi f \left(k - rF/f_m\right)}{F}\right)\cdot e^{\displaystyle-\beta(...
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71 views

Which filter makes sense for a triggered event?

I have a very noisy data from a particle accelerator and I want to improve the signal (in every way it's possible): As background: It's data from an electron accelerator which produced Bremsstrahlung ...
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198 views

How to use frame based audio features for machine learning

I have an audio recording (wav file) that is 2 seconds long. That is my sample and it needs to be classified as [class_A] or [class_B]. To extract MFCC features, I divided the sample into frames (183 ...
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415 views

Window size and DFT size

I am using pwelch function of Matlab which returns the power spectral density (PSD) estimate. This got me confused about DFFT size and Windows size. Here my code: ...
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0answers
111 views

Best Method to Separate square wave and smooth wave

I have a signal consists of a smooth wave and square waves. Is there comprehensive method can separate square wave and smooth signal? I looked for the likelihood ratio test but cannot find any ...
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0answers
129 views

The signal $\frac{e^{j10\pi n}}{10}$ is periodic/aperiodic?

How to verify the function $$ \frac{e^{j10\pi n}}{10} $$ is a period/aperiodic function ? My attempt: $\omega_o=10\pi\implies f_o=\omega_o/2\pi=5$, which is a rational number. So the given function ...
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76 views

Determining the probability of two signals, with added independent noise, being the same?

I have the first 100ms of two signals, each with a noise independent to that signal. I want to compare the two signals and determine the probability that these two signals are (minus noise) the same, ...
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40 views

quantitative definition of “FFTable” data point as a function of the signal to noise level

Regarding hotpaw2's answer to the "Number of FFT points required for a specific frequency resolution for an oversampled signal" question: Given that the result of an FFT can be interpolated (...
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0answers
60 views

One period with transient

Assume I have only access to only one period of a signal that there is a transient effect on the signal as well. I am pretty sure that there is a particular frequency in the signal. Is there a way ...
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0answers
39 views

What are the popular benchmark systems and equations in adaptive signal processing?

In various papers I met repeating equations and systems used during experimental analysis. For example AR model as follows $x(k) = 1.79 x(k-1) - 1.85 x(k-2) + 1.27 x(k-3) - 0.41 x(k-4) + v(k)$ seems ...
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44 views

How does the error in azimuth angle vary as one moves away from the boresight direction of a radar

My question is basically same as the title. I am trying to find a mathematical model which provides the error, $d\theta$, in azimuth angle($\theta$) as one moves away from the boresight direction of ...
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0answers
58 views

Correlation between a lowfrequent and a fast signal

I need to evaluate the correlation between some measured signals. Those signals are for example current, temperatures at various points, vehicle speed and torque from an electric motor in a vehicle. I ...
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0answers
81 views

Removing gravity from a non-orthogonal body

I am not sure where to post this question, if it is not appropriate here can you suggest where shallI post it to? Question: I have a Cube with dimension of x,y,z. I am trying to do some integration ...
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117 views

Wiener filter with no WSS process

I'm trying to learn something more about Wiener Filters and I can't find anywhere what happens when I feed a Wiener Filter with a non WSS process. Could anyone give me an explanation or any book (...
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0answers
33 views

Perturbation test for a real plant

How should we conduct a perturbation test for an LTI unknown system by perturbing the input to see the output response i.e. How many different perturbation step size should be given to the input?
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54 views

Signal processing on the graphs: generalized euclidian distance

In signal processing (SP) often we need to compute sample-wise distance between two signals, e.g. computing MSE. SP on graphs concerns the case when the domain of the signal has some intrinsic ...
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0answers
100 views

Detecting special points in signal

What tool/filter/mathematic operation would you use to detect the red points marked in this signal? As you can see there are several differentiated groups and I want to detect those moments in which ...
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368 views

What is the best algorithm to detect leading edge?

I am interested to detect leading edge of one dimensional signal. There may be several algorithm for edge detection, specially for image processing (2 dimensional), but my interest is on one ...
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0answers
26 views

Books and references virtual microphone

What are some applications of virtual microphones (as in here http://sail.usc.edu/aigaion2/index.php/attachments/single/119.)? Are there good references (books or comprehensive tutorial papers) for ...
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2answers
359 views

Independent component analysis for one observation of a Signal

So I am a complete novice to ICA, so excuse my question if it is bad one, but I have the signal: $$\sin(2\pi x) + \sin(4\pi x) + \textrm{Additive White Gaussian Noise}$$ I want to try to separate ...
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369 views

How to separate two signals which have same frequency and phase but generated from different positions?

How to separate two signals which have same frequency and phase but generated from different positions? For example, the EEG signals, we assume there are only two positions, position A and position B ...
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0answers
45 views

How do I correctly receive a signal using a signal analyzer?

For the past few weeks, I have been trying to send a Zaddof Chu signal using a vector signal generator, and receive it using a signal analyzer. Both devices are made by R&S. However, the signal ...
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211 views

How do I find amplitude modulation effects in natural signals

It is relatively easy to discover overlaid (additive) signals in natural phenomena using wavelet decomposition, Fourier Transforms, CEEMD, etc, because addition in the time domain is the same as ...
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0answers
377 views

Sampling and zero crossing

I am sampling a sine wave of 50Hz(stepped down from 230V) at the rate of 500KHz. For identifying disturbances in the wave, i was thinking of comparing a cycle of incoming sine values with reference ...
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31 views

connection between theory that is done in $L^2(\mathbb{R})$ and its application on discrete signal

I have problems understanding connection between theory that is done in $L^2(\mathbb{R})$ and its application to discrete signals. Look at this paper: http://home.ustc.edu.cn/~zhanghan/cs/...
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314 views

Discrete Fourier Transform for text analysis?

I would like to determine the number of text-blocks verifying a roughly similar pattern. I have the intuition that I could do it using some Discrete Fourier Transform (DFT)-like methodology. Example: ...
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1answer
567 views

Apply band pass filter (BPF) before calculating the power of a signal (PSD)?

From my understanding PSD tries to give a good estimation on the power each frequency attributes to the overall signal power. If I am only interested in a frequency range $(\omega_0 \leq \omega \leq ...
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86 views

Audio transient characterization of instrumental music

Some time ago, I seem to recall hearing or reading of an audio experiment where the very short initial transients of one musical instrument (A) were spliced in front of the much longer steady state or ...
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0answers
1k views

How do we calculate Power Spectrum Density (PSD) which is given in dB/Hz and not just dB?

I found many definitions for this quantity, PSD. In a document on signal analysis by National Instruments say that it is the amount of power in a unit bandwidth. Let's say P(f) is the power of the ...
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71 views

Is negative frequency important in calculating Spectral Moments

A follow on question form this one (What is meant by "spectral moment"?) In answers to the above referenced question spectral moment is defined as: $$ m_k=\int_{-\infty}^{\infty} f^k|X(f)|^...