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Signal Detection in Noise

I have known pulses, e.g. $A\exp(-\frac{t}{\tau})\cos(\omega t)$, but they are "hidden" in additive (let's say Gaussian) noise and it is not possible to predict when such events will occur. ...
bilaljo's user avatar
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1 answer
12 views

LabVIEW Driver for Princeton Applied Research 5302 Lock-In Amplifier

I'm working in a lab that uses a Princeton Applied Research 5302 Lock-In amplifier. The device has a GPIB port, and I wanted to interface the device with LabView. Does anyone know where to get a ...
WannaBePhysicist's user avatar
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2 answers
55 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 ...
Mamad Fasih's user avatar
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24 views

How can I calculate the probability of detection and false alarm rate of a correlation result assuming a given SNR threshold in AWGN?

I am transmitting an LFM chirp with fixed bandwidth $B$ and sample rate $f_{s}$, containing $N$ samples. The chirp is windowed with a Kaiser window, which generally has constant $\beta$ but can vary. ...
AlexJCole's user avatar
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32 views

Algorithms for signal shape detection

I have a discrete signal shape which I am trying to find in accelerometer data. I want to compare at least two methods. First one is of course correlation, I calculate peak value of 10 experiments ...
Dominykas's user avatar
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3 votes
3 answers
225 views

Excitation signals for system identification - Applications

I have a practical question regarding the various applications of excitation signals in identifying Linear Time-Invariant (LTI) systems. Specifically, I am curious about the usage of the following ...
Muhammad's user avatar
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0 answers
21 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 ...
level2fast's user avatar
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0 answers
27 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 ...
djangocoder5925's user avatar
3 votes
0 answers
322 views

Is this better detection and Gaussian noise cancellation technique than Matched Filter

The code below generates one sinusoid and considered as known signal. One needs to find the location of the signals under additive Gaussian noise. The known signals is comprise of the sinusoids with ...
Creator's user avatar
  • 108
1 vote
0 answers
41 views

How to distinguish a good sine wave from a distorted one from a solenoid signal?

I have a rotating magnet in front of an iron-core solenoid. When the magnet rotates, it would reduce speed, and then it will stop spinning and just sway back and forth. I want to know when it stops ...
Deqing's user avatar
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49 views

Complex Gaussian distribution in snapshot model

In Chapter 5 of the Optimum Array Processing by Harry van Trees [1], the formula of the complex Gaussian distribution appears very different from the formula that is used elsewhere in the same book ...
Tommi Rimpiläinen's user avatar
1 vote
2 answers
80 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 ...
babzzz's user avatar
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1 vote
0 answers
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Calculation of a position from the angles of arrival

For locating a target by TDOA (Time Difference Of Arrival) with $3$ stations we have the Chan method which gives an exact solution of the position. I keep the $3$ stations but instead of measuring the ...
user70974's user avatar
1 vote
0 answers
52 views

A question about GLRT

I did an experiment of detecting an unknown DC level in AWGN with unknown variance according to Steven M Kay's Detection Theory. For one set of samples $x(i)=a+n(i)$, the GLRT is $T_x=N\log(\hat{\...
c1119's user avatar
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1 answer
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error on angle of arrival

I have $2$ sensors allowing me to measure angles of arrival. These sensors are a distance $d$ ($d \simeq 10$ m) apart and the target to be located is at a distance $R$ with $d<<R$. In the ...
user70812's user avatar
2 votes
1 answer
442 views

How to simulate multiple targets in FMCW radar simulation in python?

I have simulated a FMCW radar for a single stationary target, now the next step in my project is to simulate multiple moving targets. For this I had thought of using doppler shift to show a difference ...
Raj Patil's user avatar
1 vote
2 answers
104 views

Related to Additive white Gaussian noise (AWGN)

In my research work regarding wireless communication, I came across many research papers wherein AWGN is assumed to be modelled as "complex Gaussian with zero mean and unit variance". I ...
Heretolearn's user avatar
1 vote
0 answers
169 views

How to implement maximum likelihood (ML) detector in MATLAB?

Consider the MIMO system which has $N_t$ antennas at transmitter and $N_r$ antennas at receiver and uses Generalized space shift keying (GSSK) modulation. The received signal is given by: $$Y = H X + ...
Heretolearn's user avatar
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0 answers
33 views

How to express random signal in MATLAB which is transmitted from transmitter to receiver

I am trying to model a random transmitted signal between transmitter (source) to receiver. Specifically, the transmitter has $N_s = 1$ antenna and receiver has $N_r = 2$ antennas. My query is that I ...
Heretolearn's user avatar
1 vote
0 answers
59 views

Sinus Pattern analysis

i have 1000 data which range between 50 and 180 ( heart BPM data in a day) how can i measure its similarity to a Sinus pattern? for example, for 20th recorded data (for example it is 60BPM), evaluate ...
Hamidreza Abdollahi's user avatar
2 votes
1 answer
93 views

Is there a reason why wavelet in continuous wavelet transform are symmetric?

I have looked at several packages to do continuous wavelet transform (cwt), and the usable wavelet families that are available are always symmetric. Is there a reason for that? The kind of signals I ...
Johncowk's user avatar
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1 answer
67 views

What books describe convolutional neural networks for DSP?

(note: I read the site policy and meta questions about whether such a question is ok. I will be specific) I am looking for books that specifically cover using convolutional neural networks (CNN) for ...
HonestMath's user avatar
3 votes
1 answer
120 views

Onset time determination of fast pulse

I am looking for the most precise way to determine the onset time of a very fast pulse sampled at 5 GHz coming from a physics detector. Here is an example of my signals: I already tried different ...
Tim Buktu's user avatar
1 vote
0 answers
55 views

Phase rotation compensation in AOA

We are using $4 \times 4$ corehw antenna array with nrf52833 mcu as the receiver and nrf52833 as transmitter. When working on AOA Direction Finding, we found that each element in the antenna array has ...
user68463's user avatar
1 vote
1 answer
166 views

Which probability density functions to use in a likelihood ratio test for the radar detection problem?

I am trying to understand the radar detection problem in the form of the generalized likelihood ratio test and am having a little trouble with understanding the noise distributions. Perhaps this will ...
Jim's user avatar
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0 answers
49 views

Understanding the modulation concept

In my research work, I came across the concept in the paper Y. Hu, P. Wang, Z. Lin, M. Ding and Y. -C. Liang, "Machine Learning Based Signal Detection for Ambient Backscatter Communications,"...
Heretolearn's user avatar
1 vote
1 answer
145 views

How to evaluate pairwise error probability and detection in presence of gaussian noise?

I am reading Digital Communication Systems by Simon Haykin and I am stuck at one point. Consider a two-dimensional signal space that has a message constellation of four points, given by $s_1,s_2,s_3,...
Userhanu's user avatar
  • 181
2 votes
0 answers
54 views

Is using cross-correlation with a reference wavelet a good approach for vibration detection?

This is my first time actually applying signal processing to a real problem. I'm trying to monitor some equipment for vibrations. The vibrations aren't constant but occur at some point in time - I've ...
Nick S.'s user avatar
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2 votes
0 answers
75 views

Optimum Measurement of Sine Wave Amplitude in Noise

There are many related questions posted about estimating sine wave parameters, and this one is closest: Measuring amplitude of a pure sine wave of known frequency close to the noise floor, but none ...
Dan Boschen's user avatar
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1 vote
1 answer
172 views

Measuring amplitude of a pure sine wave of known frequency close to the noise floor

What I want to ask you comes from a place where I can play with all the parameters as much as I want (I can measure as long as I want and as fast as I want, as well as change sensor/ADC). The signal ...
alex cp's user avatar
  • 13
9 votes
5 answers
1k views

Identify abrupt changes in an audio waveform

I have an audio file which was created by substituting multiple speech segments into an original utterance. I want to find the timestamps where such substitutions happened, so I guess that one thing I ...
Long's user avatar
  • 143
4 votes
1 answer
147 views

Understanding Maximum likelihood detector expression?

Consider the MIMO system which has $N_t$ antennas at transmitter and $N_r$ antennas at receiver and uses Generalized space shift keying (GSSK) modulation. The received signal is given by: $$Y = H X + ...
Heretolearn's user avatar
1 vote
2 answers
244 views

Issue with SNR and SINAD Measurement using Matlab Functions in specific cases

I have a MATLAB code in which I need to calculate the SNR and SINAD of received signal at known frequency (assumed as tone signal). The issue is that sometimes the power at that frequency is lower ...
malik12's user avatar
  • 488
2 votes
3 answers
138 views

Finding start point of a curve

I'm currently working on a project where I have to measure the latency of a given system. Below you can see a exemplary image which shows the input pulse (green) and the response (blue). In order to ...
luisuark's user avatar
2 votes
0 answers
60 views

Best 'SNR-like' detection statistic for time series signal in the wavelet domain?

What is the best way to define a detection statistic for a time series event trigger generator, which computes the wavelet transform of some time series data? I want such quantity to be similar to a ...
GWSurfer's user avatar
4 votes
0 answers
47 views

Practically Calculating Cramer-Rao Lower Bound

What is the method to compute Cramer-Rao lower bound for a particular application. For example I have an application in which FFT of an incoming signal is performed to get a Coarse estimate and then ...
Emerald_Waves's user avatar
0 votes
2 answers
218 views

Should we use Maximal ratio combining and an equalizer together?

I have confusion on MRC(Maximal Ratio Combining) method which I would like to clarify. An example is where I have 1 transmit antenna and 4 receive antennas. The concept of MRC is to combine all the ...
SAM's user avatar
  • 15
-2 votes
1 answer
136 views

Energy ratio of signal

What is the energy ratio of signal at frequency domain? What is its mathematical formula at frequency domain and what can stand for? I found it in this paper https://www.researchgate.net/publication/...
RIMA's user avatar
  • 43
0 votes
2 answers
323 views

Performance Effects of Dropping ADC Least Significant Bits before DSP processing (Besides the Obvious)

What would be the effect of dropping LSBs of an ADC on the performance of a DSP system apart from the obvious reduction in dynamic range. For example if there is a 14 bit ADC and only 10 bits are used,...
malik12's user avatar
  • 488
2 votes
0 answers
54 views

Detector for vector-valued signals

I'm trying to find the optimal probability of detection/false alarm for the following detection task. Given $N$ signal samples with $d$ dimensions (independent channels) each, assign the samples to ...
Sami's user avatar
  • 65
4 votes
1 answer
317 views

Can we detect WiFi from Spectrograms using signal processing?

I'm looking for some suggestions on detecting wifi using spectrograms (abs magnitude only) . My project involves a wifi driver which outputs a spectrogram whenever it scans the channel . Can we use ...
Aryan's user avatar
  • 41
5 votes
2 answers
329 views

Amplifier Placement in a Wireless Receiver

In the context of wireless receiver system design, what is the optimum choice of amplifier placement? Should the received signal be amplified first then filtered or should it be the other way round? ...
malik12's user avatar
  • 488
4 votes
3 answers
851 views

How to decide whether a recording contains a signal of interest?

I am currently implementing an acoustic communication system in Matlab. For synchronization purposes, every transmission contains an upchirp preamble. The receiver uses cross-correlation to find the ...
F105's user avatar
  • 61
0 votes
2 answers
175 views

Issues with playing and recording a square wave sound on the same PC

I am learning signal processing. For a hobby project I wanted to transmit and record a simple ASK signal via my soundcard, to see if I can write code to recover the sent data. After playback and ...
Not A Hobbit's user avatar
2 votes
2 answers
540 views

SNR ratio in radar for stationary targets

Is there a mathematical model which provides relationship between the Signal to Noise Ratio in radar measurements and velocity/range of targets. i.e. How SNR varies with the speed of targets? How SNR ...
user146290's user avatar
1 vote
1 answer
36 views

How to synthesise an approximate 'pulse' waveform from an observed section of a similar waveform

Following on from my previous question, kindly answered by @peter-k, I have a related one... I have, in a small interval $a \leq x \leq b$, a function $q(x) := q(x;\rho,\gamma)$ whose exact form is ...
RickyBoy's user avatar
0 votes
2 answers
1k views

How to identify sudden changes in signals?

There are instances when neural networks, after being trained continually on a subset of data, tend to drastically lose their performance. I've attached an image below depicting the same. I am looking ...
desert_ranger's user avatar
2 votes
1 answer
120 views

How best to detect an unknown number of pulses of an approximate known form over an interval?

It is approximately 30 years since I last studied signal processing, but have lately encountered a problem for which I am confident the solution is well-known in the signal-processing world. I hope ...
RickyBoy's user avatar
1 vote
1 answer
36 views

AWGN continous time channel + colored noise

I'm working on an exercise but I'm stuck at the question where the noise becomes colored, can someone help me ? Let $\{\psi_1(t) = \mathbf{1}\{t \in [0,1)], \psi_2 = \mathbf{1}\{t \in [1,2]\}\}$ be an ...
Bozu's user avatar
  • 15
3 votes
1 answer
421 views

Filter type selection for signal envelope detection

Working on a signal envelope detection code in Matlab in which an RF signal envelope is to be created. The flow is such that filtering is performed according to the detected presence of a signal in a ...
malik12's user avatar
  • 488

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