Questions tagged [time-domain]
The time-domain tag has no usage guidance.
69
questions
0
votes
1answer
40 views
How to calculate DTFT of cosine function divided by n
I'm having a hard time to calculate the next function, and I don't really know Matlab good enough to calculate it there.
Help would be appreciated:
$$h[n]=\frac{A_1 \cos[\theta_1(n-N/2)]}{n-N/2}$$
-1
votes
1answer
35 views
Time domain analysis vs frequency domain analysis? Applications wise? [closed]
When do we use time domain analysis and when do we use frequency domain analysis?
As far i studied i know that when we need to study individual sinusoidal components of a signal, we choose frequency ...
1
vote
1answer
31 views
Are there any recursive online max/min filters for time-series
Are there any online recursive filters that can approximate local, time-varying minimum and maximum values of a time series?
-1
votes
1answer
86 views
A one-pole LPF (6 dB/oct) has a step response to $1/e$ amplitude of ${\tt time} = 1/(2 \pi f)$. What would the response time be of a 3 dB/oct filter?
I was instructed in another question here that if a one pole (6 dB/oct) low pass filter is fed a discontinuity (ie. going from 1 to 0) it will take ${\tt time} = \frac{1}{2\pi f}$ to reach $1/e$ ...
0
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0answers
29 views
Is a LTI system with dead-time equivalent with a LTI system with no dead-time but delayed input signal?
I wonder if the system parameters would remain the same after all.
According to the definitions, the gain is the change of the output induced by the change of the input if we assume that the gain is ...
0
votes
2answers
55 views
Questions about autocorrelation, correlation, and randomness
I'm learning about autocorrelation functions and trying to calculate some from a time series. Conceptually, what is the difference between the following two autocorrelation functions?
$$g_{1}(\tau)=\...
0
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0answers
31 views
How to approach Feature Extraction and Feature Selection part in machone learning in python?
I am a bit new to machine learning and I have the following questions:
Question 1:
When dealing with feature extraction with signals from sensors, what is the typical approach to extract features ...
0
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0answers
44 views
Time domain to angular domain approach
I have a rotating shaft where I need to move from the time domain to the angular domain to look for vibration faults. I have the data from a tachometer.
From another post I found these steps:
The ...
0
votes
1answer
30 views
Time and Frequency Domain Relationship
Why do we say that a good time response means a bad frequency response?
0
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0answers
48 views
Frequency and Order maps
I'm new to python and I'm using it to analyse accelerations from an accelerometer ie. vibration analysis. For that I need to plot 2 types of diagrams:
1) Frequency map; frequency and time on the axis ...
0
votes
0answers
29 views
Time Frequency bin
I am doing research in audio signal processing for DOA estimation. I came across the term Time-Frequency bin. I have gone through several articles but none of them specify a TF bin rather it specifies ...
1
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3answers
643 views
Butterworth filter transfer function in time domain
Preliminaries
I need to know the response of Butterworth filter in time domain of the following input (at least numerically):
$$
x(t) = \theta(t)(1-\exp\{-at\})\exp\{-bt\}, \quad a,b>0,\quad a\gg b
...
0
votes
1answer
56 views
Complex time domain signals and QAM
Is there an inherent connection between complex time domain signals and QAM?
Given a complex time-domain signal is it always implied that this is a QAM-demodulated form of a real time domain signal?
...
0
votes
1answer
59 views
Converting a discrete real time domain to a discrete complex time domain signal
To test my understanding of amplitude modulation in the frequency domain I'm trying to replicate the center frequency with 2 side-bands in an Octave plot with the following code
...
0
votes
2answers
107 views
Intuitive meaning of complex time domain signal representation (quadrature sampling)
I saw What is the meaning of imaginary values in the time domain?.
My question is about I Q samples as recorded from an SDR receiver (e.g. RTL-SDR).
My understanding is that we can call these I Q ...
1
vote
2answers
224 views
How do I find the convolution of the following signals? [closed]
$h(t)$ is the inputted to convolve the $x(t)$
The signal written in unit step are:
$x(t) = (5-t)u(t-3) - (5-t)u(t-5)$
$h(t) = 2u(t-1) - 2u(t-3)$
So to convolve I first change the function to:
$h(...
0
votes
0answers
50 views
IFFT during ISTFT - and Nyquist
Using a compilable programming language (not Librosa, Matlab, etc), I am attempting to perform ISTFT on filtered (masked) source STFT matrices obtained from NMF. During the original construction of ...
5
votes
4answers
836 views
Can every type of linear filter be modelled by a convolution?
I have an input time series going through a filter that creates another time series as output.
If I assume in first approximation that my filter is linear, does it necessarily mean that I can model ...
1
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0answers
44 views
Underwater acoustic channel is giving me a flat BER vs SNR curve
I need to do OFDM and GFDM signal transmission in underwater acoustic channel. I have my underwater acoustic channel as follow.
...
0
votes
1answer
37 views
Test for Equivalence of two time series
I wish to test whether two time series are equal. So I believe best way to define equivalence is that given two time series, say $\{x1_t\}$ and $\{x2_t\}$, we show that both the series come from the ...
1
vote
1answer
84 views
How to determine the phase of a time-sampled periodic signal?
I know this is a rather common and a rather simple problem, but somehow I can't find a solution that is equally simple to understand (and implement).
I have a signal that closely resembles a noisy ...
0
votes
2answers
62 views
Is it valid to calculate the magnitude, power, and phase of a real time-domain signal without converting it to the frequency-domain?
I would assume you perform the calculations the same way, but since there would be no imaginary component because the signal is not complex it would be simpler:
...
1
vote
2answers
129 views
Why the following discrete type system,variable accumulator, is time invariant?
$y[n]=T{x[n]}=\displaystyle\sum_{k=n-n_{0}}^{n+n_{0}} x[k]$
it is some sort of moving summer which computes $n^{\text{th}}$ output sample by adding all samples lying within length $n_{0}$ around some ...
1
vote
2answers
96 views
Can a 1-dimensional signal be in a domain other than the time or frequency domain?
In signal processing I have only heard of signals being in the "Time" domain or in the "Frequency" domain, but are there situations where a signal is not in either of these?
If so, what are these ...
0
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2answers
270 views
negative value of signals
can we say there is no sound produced when the amplitude is 0?
if yes what can we say when the amplitude is negative?
0
votes
1answer
74 views
Extracting audio from picture of time-domain signal
I saw this nifty art thing where they dress up the time-domain audio signal in some pretty way.
https://www.etsy.com/ArtbloxShop/listing/621561709/sound-wave-art-custom-soundwave-print
My question is ...
2
votes
0answers
104 views
How do audiobook players manage to quickly speedup/slowdown playback speed without using more memory?
Many audiobook player apps on Android have a reading speed slider which lets us choose the reading speed e.g. 0.5x 0.75x 1.00x 1.25x 1.50x. This is time-stretching ...
1
vote
1answer
276 views
What is the relationship between the discrete time and continuous time variables?
While going through Proakis's Digital Signal Processing (page 21) ,he stated that
if a continuous time signal $~x(t)~$ that has been sampled each $~T~$ seconds to produce a discrete time signal $~x(n)...
0
votes
1answer
34 views
Practical insightful time domain functions [closed]
This question might be a little bit different, but i am having hard time to find some sort of a list/book/website/advice, with very practical time domain functions that provides useful insgihts for a ...
2
votes
1answer
245 views
Is it right to talk about dynamic range on frequency domain?
I'm comparing three frequency response's plots from simulations and experiments and I observed that two of them look like clamped to a DC component, where the max dB value is i.e. 100 and the min is ...
3
votes
1answer
192 views
What is wrong with my residue partial expansion method? (Transfer Function into State-Space Modal/Diagonal Form)
I'm using reference from here and here.
This is Laplace transfer function of DC Control Speed System:
$$\frac{\omega(s)}{V(s)}=\frac{K}{(Js+b)(Ls+R)+K^2}$$
Where,
$\omega$ is the motor angular ...
5
votes
6answers
512 views
Optimal $ n $ -th Order IIR /AR Approximation of a Moving Average Filter
I would like to approximate a moving average filter with an IIR filter of much lower order than the tap-length of the moving average filter. Optimality shall refer to the $L_2$ norm of the impulse ...
1
vote
2answers
1k views
Finite and Infinite support in time and frequency domain
It's known that signals with a finite support in time has an infinite support in frequency (talking about Fourier Transforms).
A common example that is given for the claim is the triangle function ...
0
votes
1answer
77 views
Complex FFT reversing
I've succeeded to compute complex FFT of a data array of interleaved values using the arm_cfft_f32() API of the CMSIS DSP library for Cortex-M4, and got in the same array the FFT results as frequency ...
0
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0answers
83 views
Making longer a time domain signal by adding values on its frequency domain. What am I doing wrong?
Background
Here's the thing: using software for Finite Element Acoustic Simulation I got the dataset of frequency response from a room; software works by solving the wave equation in the interval $`[...
0
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0answers
73 views
Plot Background Noise
I am a total newbie in signal processing.
I have been trying to plot on simulink a time/frequency domain noise in PLC (Powerline Communication) that matches a real-world research "...
0
votes
2answers
89 views
Noise when dividing or multiplying signal in C
I'm trying to create a echo effect and have managed to add multiple delays but when i try to divide or multiply these numbers the signal is completely distorted and adds a lot of noise to the system.
...
2
votes
1answer
312 views
Eigenfunction property for LTI sinusoidal and the sinusoidal steady-state response
All LTI systems possess the eigenfunction property for complex exponential inputs. That is (restricting our attention to periodic complex exponentials), if $e^{j\omega_k t}$ is an input to the LTI ...
0
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2answers
140 views
How to estimate ALL time-delays across MULTIPLE signals?
Imagine there are 100 recordings of the same signal or pattern, but those recordings are not properly aligned with each other in time. In other words, each sample has some unknown time delay in ...
0
votes
1answer
334 views
characterization of DC component
Consider the following two statements:
In time axis:
A signal without a DC component is a signal which doesn't have the zero frequency (the DC frequency)
A signal without a DC component is averaged ...
2
votes
1answer
818 views
Time scaling of discrete-time sequences and the DTFT
In the second edition of Signals and Systems by Alan Oppenheim, he discusses the DTFT of a "time-expanded" sequence that is effectively a slowed down version of the original sequence and can be ...
3
votes
2answers
2k views
Extracting Peak Frequencies Using FFT vs. Time Domain Peak Finding
I am trying to compare two processing algorithms that I believe should be producing very similar results. I am processing acceleration signals over the course of the day and we expect to see a ...
2
votes
2answers
629 views
Linear Constant Coefficient Differential Equations: Zero-Input and Zero-State responses
The solution to a linear constant coefficient differential equation of the form $$\sum_{k = 0}^{N} a_k y^{(k)} (t) = \sum_{k = 0}^{M} b_k x^{(k)} (t)$$ can be written as $y(t) = y_{ZI} (t) + y_{ZS} (t)...
1
vote
2answers
442 views
Convolution and Modulation Theorem with Octave Example
As far as I know, convolution theorem stated that
$$
x[n] * y[n] = X(e^{j \omega}) Y(e^{j \omega})
$$
$$
X(e^{j \omega}) * Y(e^{j \omega}) = x[n] y[n]
$$
I tried a simple experiment using GNU Octave ...
2
votes
1answer
470 views
Confused on the difference between the frequency spectrum of an entire song, and the frequency spectrum of a point in time
I am very much a beginner in this field - but find it really interesting. However I am a little confused on a certain area of knowledge.
If I have understood correctly:
At any point in an audiosignal,...
0
votes
3answers
457 views
How to filter out everything but a single frequency in the time domain?
I'm new to signal processing and would like some insights about the best way to filter simple data without being too computationally intensive.
I have an audio signal and I want to extract a single ...
0
votes
1answer
32 views
Does waveform-based ASR with lowpass filtering preprocessing still require the assumption of FFT?
I read some recent papers about time-domain speech recognition, and wondering if it steers away from the stationary assumption of FFT. However, some preprocessing operations like pre-emphasis and low-...
2
votes
2answers
1k views
Is it possible to apply a frequency filter a time domain signal?
Is it possible to frequency filter a time domain signal, without converting the signal to a frequency domain..
My question comes in regards how MFCC according to wiki and other pages describe the ...
1
vote
1answer
49 views
Index of stationarity of a time domain signal
During my internship, I've come across a software that calculates a percentage called "Index of stationarity". This index shows how much stationary is the signal. Does anyone have any idea on how to ...
3
votes
3answers
2k views
Time synchronous averaging - MATLAB
I have a time domain signal that corresponds to a vibration signal of a machine. I have a second signal that corresponds to a tachometer signal (There is a pulse every one revolution of the shaft).
I'...
