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# Questions tagged [signal-analysis]

The processing of signals for the purpose of extracting a parameter or property embedded in a signal. Signal goes in and far fewer numbers come out.

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40 views

### Can Autocorrelation be used to Differentiate Signal Quality (High, Medium, Low, Very Low) for Periodic Signals?

I'm working on a project to classify the quality of periodic signals into four categories: high, medium, low, and very low (noisy). I was initially exploring autocorrelation as a potential feature for ...
52 views

### Bandwidth of convolution of signals

We have a signal $f(t)$ with a bandwidth of [-300,300] kHz and a signal $x(t)$ with [-400,400] kHz. What is the minimum sampling frequency for the signal $x(t) \star f(t)$ that enables its ...
92 views

### How to remove known noise from acquired signals

what is the question: I have some time sequences(sampled at 0.5s and 3kHz which means every one of them has 1,500 points) from my force sensor. But I find the signal fluctuates wildly under no load, ...
32 views

### Getting amplitude from messy signal

I'm working on analyzing some data from a grain boundary in an atomic simulation. I've got a lot of similar data to go through and am trying to determine a reliable way to get the amplitude of my ...
29 views

### Can I get a resonance frequency from FFT power spectrum result?

I'm going through vibration analysis of cantilever by using FFT device but impact hammer input data isn't showing for some reason. So instead, I'm trying to get the resonance frequency by acceleration ...
84 views

### Maximum of the sum of different sinusoids

How to find the maximum sum of several (more than two) harmonic sinusoidal oscillations of the form $$y_n(t) = A_n\sin(2\pi f_nt+\phi_n)$$ with different amplitudes $A_n$, frequencies $f_n$ and phase ...
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70 views

### very basic confusion about the bandwidth of constant signal function

I have a very basic question about bandwidth of constant function $f(t) = K$. As the Fourier transform of a constant pulse is a delta-function centered at zero frequency, the bandwidth (maximum value ...
24 views

### Spectral Theory: A Key to Unlocking Efficient Insights in Network Datasets

In the context of directed or undirected graphs, matrices such as adjacency and Laplacian matrices are commonly used. The eigenbasis of these matrices addresses some practical implications, such as ...
• 387
64 views

### Frequency components in graph signal processing

As a mathematics researcher, I've delved into the intriguing realm of graph signal processing, yet I often find myself tangled in mental conflicts about certain aspects of this field. Any insights you ...
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31 views

### DT System with input initially at rest

This is the very basics of Signals but my lecturer has provided barely any notes and I cannot find answers online (not just to this, but most of signals for some reason) Dealing with DT system: y[n]=y[...
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2k views

### Why does frequency sweeping double the frequency?

You can generate a signal with frequency f with sin(2*pi*f*t) where t is time. Yet, when I ...
36 views

### How to reliably find audio interface recordings in mobile phone recordings

For scientific research, I recorded a few singers with several devices in a recording room. Two of these devices were proper microphones connected to an audiointerface, and they were positioned right ...
62 views

### Why the Discrete time fourier series coefficients of a real discrete time periodic signal are not symmetric about y axis?

If the signal is something like cos(πn/3) , we get the two DTFS coefficients that are symmetric about y axis and the resulting frequency spectrum is an even function . Now take the example given in ...
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1 vote
29 views

### Amplitude Modulation in Scipy Documentation on Hilbert transform

I was reading the documentation on the scipy.signal.hilbert and an example was given there to illustrate the principle. To make it easier to understand, I copied ...
78 views

### Is the magnitude spectrum of the Discrete Time Fourier Series of a Discrete Time periodic Signal , an even Function?

We know that the magnitude spectrum of a continuous time fourier series representation of a real periodic signal is an even function (i.e. symmetric about y axis). Does this hold true for discrete ...
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20 views

### Why is my target showing up with a non-zero centered velocity? I captured this data using the IWR6843A0P using a stationary corner reflector

I need help understanding what I should do to determine why my target is showing up in my Range doppler map with a non-zero centered velocity when I captured my measurement using a stationary corner ...
15 views

### Real-world examples of unweighted directed graphs

Social Networks, Internet Traffic, Citation Networks, Transportation Networks, and Biological Networks exemplify real-world instances of unweighted directed graphs. Within these domains, the Graph ...
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46 views

### Baseline correction for XRD data in Origin

I have been trying to process the XRD data for a material, in Origin. I am an undergrad, new to the software, and while I have learnt to perhaps plot the data, I am not able to perform baseline ...
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152 views

### How to find frequency , location and phase of two sinusoid signal buried in noise?

There is a data set which has two different sinusoids buried in noise. Data record has following properties: A data records with a total data length of 2048 points. The sampling frequency is 100 Hz. ...
38 views

### Related to SNR in wireless communication

I am working on a research paper related to wireless communication, wherein I am facing some doubt while writing expression of SNR (which is a ratio of Signal variance in numerator to Noise variance ...
25 views

### Fourier transform processing of iq data

I want to perform fourier transform on the iq data that is taken from spectrum analyzer. The purpose is to estimate phase noise from iq data.
24 views

### Program to compare output and input streams to verify volume

I'm trying to wright a program to compare, two sound signals, output (speakers) and input (mic) streams and verify/adjust the volume. I'm using Microsoft Visual Studio C# forms project with the ...
29 views

### Why are MFCCs of different signals equal?

What I am trying to do: I am trying to extract features based on the difference between a reference signal (white noise in my case, let's call it ref) and different processed versions of it (let's ...
78 views

### instantaneous frequency for a complex signal

Let $s(t)$ be a complex signal. I would like to know how to find a signal from its instantaneous frequency. I programmed the following function which calculates the instantaneous frequency. ...
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22 views

### How to reorder the OFDM index before computing IFFT for CFR?

I used Intel 5300 NIC and the CSI tool to get CFR. I also want to apply for a IFFT to get CIR. Do I need to rearrange CFR before I apply ifft? The OFDM subcarrier indexes (for 20MHz) are: ...
65 views

### Correcting Drift and Stepped Pattern in Pressure Sensor Data

I’m observing drift and a stepped pattern in data from a piezoelectric pressure sensor measuring constant atmospheric pressure. the results are the following: The data should ideally be a flat line ...
92 views

### Is $y(t) = y(t-4)+x(t-4)$ time invariant or not?

I want to check the time invariability of this recursively defined function $$y(t) = y(t-4)+x(t-4)$$ We can check time invariability of functions expressed in terms of x(t), but I couldn't find ...
52 views

### Frequency doubling of a signal with noise and without

I've been given a task to simulate a real-world scenario, in which a system receives a signal with a carrier frequency of 3.75 MHz. To filter the signal, either a very sharp and resource-intensive ...
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83 views

### How can a costas loop work when root raised cosine filter used on QPSK signal?

I just finished a costas loop for QPSK signal,I transmit the baseband signal and sent it into the costas loop, which worked well, but when I filter the baseband signal with root raised cosine filter ...
1 vote
75 views

### Predicting the "amplitude" of a damped sine wave from FFT

For a sine wave, $A \sin(\omega_0 t)$, with an amplitude $A$, after FFT and calculating the magnitude spectrum we can get a single peak with a height also equal to $A$. This requires proper scaling. ...
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1 vote
50 views

### what will be the expression of this shifted cosine signal

My solution is $y(t) = \cos(\omega t) + \frac{1}{2}$ giving it a shift of $\frac{1}{2}$ But I'm a bit skeptic about it, should there be any coefficient of cos to this modification?
89 views

### what will be the DC component of this function? [closed]

My answer is that the signal can be splitted into 2 regions, and cancel out the negative and positive areas under the integral, based on the definition Needed some validation on this analysis Thanks.....
48 views

### i am stuck on question 3 and isn't getting desired output. can anyone explain what should i do and provide code for this?

Given the autocorrelation function ACF(n)=cos((2/30)n) for n= -5,-4,…0,1,…, 5 use the simplified Lim & Malik iterative algorithm to extend the ACF to 256 points. Note that the simplified version ...
98 views

### Signal plotting on a paper

I needed help in plotting this in a paper, I have 2 signals: x(t) = 4 Tri ((t + T) / 2T) x(t) = sin((2 pi t)/ T).rect((t - 3T) / 2T) I have added my solutions to these signals in the attached image, ...
28 views

### Fiber Photometry (Fluorescence) Signal Preprocessing through Source Separation and Baseline Correction

I am working on preprocessing fiber photometry data. The data collection involves inserting fibers into an animal, where the reflection of specific wavelengths of light is captured. We collect two ...
25 views

### name for the product of oscillation amplitude and frequency over spectral bandwidth

In the field of signal processing, when a spectral peak is fitted with a Gaussian, is there a name for the quantity obtained by multiplying amplitude with frequency and dividing by the standard ...
1 vote
31 views

### Bearing vibration analysis from audio signal instead of velocimeter measurements

We currently test bearings on a third-party test machine, which uses a velocimeter and reports through a software front end that outputs a low mid and high band spectrum result, and RMS, Peak and ...
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35 views

### How do i know which operations transformed a signal?

I am doing an undergrad assignment and one of the exercises is as follows: Given the following signal $x(t)$: and another signal $y(t)$ which was transformed from $x(t)$: Describe $y(t)$ in function ...
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1 vote
47 views

### Calculating phase difference between two vibration signals

The idea behind this question is for misalignment fault we say vibration signals across the misalignment are out of phase. If the signals are just sinusoidal signals with one frequency calculating ...
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1 vote
139 views

### What is the best method to filter a signal where baseline and the signal of interest have overlapping frequency range?

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-...
125 views

### The Discrete Fourier Transform (DFT) decomposes any signal into four orthogonal signal components

Let $F=\frac{1}{\sqrt{n}}(w^{kl})_{k,l=0}^{n-1}$ be the discrete Fourier matrix of size $n$ where $w=\exp^{-\frac{2\pi i}{n}}$. It is a well-known that $F_n^4 = I_n$ where $I_n$ represents the ...
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### How to correct for gain and offset errors in a signal?

I have a signal recorded from two different detectors, with different levels of gain. $$S_{1}(\omega) = \alpha_{1}S(\omega) + \beta_{1} \\ S_{2}(\omega) = \alpha_{2}S(\omega) + \beta_{2}$$ How would ...
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56 views

### Relation between harmonics and quantization [closed]

I'd like to make digital samples that construct sine waves. It's nothing but direct digital synthesis (DDS) before the digital-to-analog converter and filter. I want to make a sinewave sample that ...
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1 vote
79 views

### do closer peaks Leak more to each other (spectral leakage in FFT)

I am familiar with the spectral leakage problem in FFT due to a rectangle window for a sin signal giving two peaks that leak to each other. My question is will the leakage to the frequency bins near ...
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867 views

### How to know if a continuous function can be represented by a finite sum of sinusoids?

I have a lack of mathematical knowledge, and notably in mathematical vocabulary, so maybe a similar question exists but with a different wording. What I want to know, is actually how to know if a ...
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244 views

### How to find the pattern of a signal or main cycle of a signal?

I have a dataset where a certain pattern is repeatating in different time interval. The repetation of data pattern can come with slight change. I want first find the pattern (or cycle) and later by ...
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