Questions tagged [signal-detection]
Signal Detection Theory (SDT) explains how a receiver detects a signal in noise as a function of the receiver's sensitivity to the signal & the receiver's bias or tendency to assert the presence of the signal whether it is there or not.
108
questions
0
votes
0
answers
5
views
Pooling Participant Data to Resolve Limited Trials per Condition Issues
Problem: In an experimental task, there are 4 conditions with only 2 trials each, resulting in 8 observations per participant. Typically, we use Signal Detection Theory (SDT) to calculate descriptive ...
1
vote
0
answers
32
views
Combining Data from Multiple Participants for Statistical Analysis of a Facial Expression Memory Task
Context of the Query: I am working on a project involving a memory task for facial expressions, consisting of two phases:
Encoding Phase: In this phase, participants are exposed to 8 virtual ...
5
votes
3
answers
445
views
Hypothesis testing for detecting a (damped) sinusoidal signal in noise
I have a signal in white noise that has the following form:
\begin{equation}
r[t_i] = A e^{-t_i/\tau} \sin{(\omega t_i + \phi)} + n[t_i]
\end{equation}
I would like to test whether the signal (1st ...
- 161
2
votes
1
answer
95
views
For discrete $X_n$ if $X_n \stackrel{d}{\to} U$, does $P_e \to 1$ where $P_e$ is optimal Bayes error and $U$ is uniform
Consider the following setting. Let $ \{X_n\}_{n=1}^\infty \subseteq [-1,1] $ be a discrete random variables that converges to a continuous uniform random variable in distribution.
Let $Y_n = X_n +...
- 195
0
votes
0
answers
24
views
Signal detection in the presence of both theoretical and experimental uncertainty
I am wondering what the best way to go about the following situation is. I will try to frame it in a clear way but please leave a comment if something can be clarified. I suspect this type of thing is ...
- 111
1
vote
0
answers
61
views
Can I fit a Poisson distribution to a continuous variable to apply event detection algorithm?
Preprocessing:
I have a time series of number of tweets per 10 minutes time interval that are all taken from a given discussion on a specific topic in a specific region. I preprocessed the data by ...
- 41
1
vote
0
answers
24
views
Gaussian white noise model in application
I am interested in applications (to data) of non-parametric statistics, and my question concerned the Gaussian white noise model defined by,
$$
X_{t_1, \ldots, t_d}=f\left(t_1, \ldots, t_d\right) d ...
- 11
3
votes
0
answers
39
views
Why do popular ML and statistical packages simply ignore classical estimation and detection algorithms for statistical signal processing? [closed]
For those who had a hard time to study and understand classical estimation and detection algorithms, and unfortunately realized that these algorithms are simply ignored by many packages that have the ...
- 131
1
vote
0
answers
17
views
Is there a sense in which collections of probability distributions with the same matrix of Bhattacharyya coefficients are "essentially the same"?
A popular measure of "closeness" between probability distributions $\vec{p_1}$, $\vec{p_2}$ is the Bhattacharyya coefficient $\sum_j \sqrt{p_{1,j} p_{2,j}}$. Consider two statistical models $...
- 11
0
votes
1
answer
535
views
Do calculate SNR based on mean and stdev need normalization?
How to calculate Signal to Noise Ratio?
Is the mean to stdev ratio valid to be used as the basis for calculating SNR?
What if a dataset or sample has a value of 0 all then add 1 random value other ...
0
votes
0
answers
109
views
Visualizing signal detection indices in r
I was wondering if any of you could help with how I can somehow plot result from a signal detection analysis in r? I have used the psycho package and calculated dprime, beta, aprime, bppd and c for ...
- 1
0
votes
0
answers
58
views
Calculate probability of alarm and the posterior probability of this alarm being false over different frequencies of output
I have the following information for an automatic detection system that output a warning when a signal is detected:
Specificity: .99 (i.e. a false positive rate $FP = .01$)
Sensitivity: .9 (i.e. a ...
- 1
3
votes
2
answers
267
views
Measuring response bias from a confusion matrix
Given a confusion matrix of a binary classifier, what are the best measures of response bias towards one of the classes?
One idea that comes to mind is Signal Detection Theory's criterion, but this ...
- 1,826
1
vote
0
answers
29
views
What is the probability that multiple spectral lines are just noise?
In spectroscopy spectral line emissions are related to each other, with fixed widths and heights that correlate with all lines based on fixed physical conditions. If I detect one spectral line at a 3 ...
- 11
0
votes
0
answers
75
views
Uncovering which frequencies two systems are communicating on by observing reoccurring time correlated signals and their frequencies
Suppose you have a set of communication systems {A, B, C, D}, which speak with each other as well as other systems not contained in the set. Our concern is how they speak with each other. They ...
- 1