Questions tagged [frequency-domain]
The frequency-domain tag has no usage guidance.
257
questions
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Why is the mel filter bank used to create a mel spectrogram?
The formula for converting frequencies from Hz to mel scale is as follows:
$$2595\log(1+f/700).$$
So why is the mel filter bank used? What is the origin of the mel filter bank?
0
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1answer
11 views
Going from an MFCC coefficient to Hz range?
I have not worked with MFCCs before, but I am faced with the observation that the 5th MFCC of a signal is actually of interest for me in my speech research. In order to understand why that one is ...
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2answers
40 views
unsymmetric fft in matlab
This is the FFT of a 4khz sin signal. I wonder why the negative part and positive part of X axis is not symmetrical?
...
3
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2answers
56 views
Constructing frequency domain filter from a 2d spatial kernel
Given a 2d spatial kernel $h$, I want to construct the corresponding frequency filter $H$. In theory, $H$ is simply obtained by calculating the DFT of $h$ using a FFT algorithm. But in practice, there ...
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1answer
36 views
Spectrum in real life with Spectrum in theory
as you know it is possible to measure the power spectral density ($|X(f)|^2$) of a certain voltage signal $x(t)$ through a Spectrum Analyzer.
As far as I'm concerned, the simplest spectrum analyzer ...
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1answer
211 views
Why is modern control theory in the time domain instead of the S-domain?
I am not sure if I am missing something, but from what I read I understand that modern control systems work in the time domain rather than the frequency frequency or S-domain.
Wikipedia article ...
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2answers
38 views
Power Spectral Density as a single number confusion
I'm trying to recreate the results of a machine learning applied to the DSP classification in the article: link.
I have a signal (activity measurements from a smartwatch) per patient, so about 30 ...
0
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1answer
32 views
Frequency domain filtering: must filter coefficients always be conjugate symetric?
While trying to do frequency domain filtering of audio signals using windowed overlap-add methodology, I came across some pre-calculated frequency domain coefficients. I noticed that the coefficients, ...
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1answer
45 views
What does frequency weighting an acceleration signal mean? And How do I frequency weight the raw acceleration data collected?
Disclaimer: I have very little knowledge in signal processing.
I'm trying to calculate a Whole Body Vibration(WBV) measure called Vibration Dose value(VDV).
$$VDV = \left(\int_{0}^{T}a(t)^4\,dt\right)^...
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1answer
39 views
Train of impulses in frequency domain
Why compressing a train of impulses in time domain produce a wide-spaced train of impulses in frequency domain and vice versa? i want to know the intuition behind that.
3
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1answer
82 views
Frequency-domain deconvolution: “Direct” filtering vs “Wiener” filtering
Can someone help with clarifying the difference between two approaches
to frequency domain "deconvolution:
For the frequency domain problem:
We want to find a filter $F(\omega)$ which will ...
1
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1answer
53 views
Measuring frequency response with white noise signal
I need to measure a frequency response of an eleсtric circuit (simple like an RC-filter). I suppose that I can generate an input signal that has spectrum like white noise (for example, m-sequence ...
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1answer
37 views
How to do sliding window multiplication in frequency domain
I want to perform the following computations with the impulse response of length L of a LTI system:
Multiply the impulse response with a window w(n) of length M << L.
Take the FFT of the result ...
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4answers
203 views
Estimation of Amplitude, Frequency and Phase of Linear Combination of Harmonic Signal Beyond the Leakage Resolution of DFT
How can I find a rough ( as accurate as possible) Amplitude of each frequency when there is spectral leakage.
Currently, I am dealing with a system that contains special leakage which seems ...
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7answers
156 views
Where do harmonics come from?
At first, I thought harmonics come from the signal being periodic. However, we know a sine wave is also periodic but contains a single frequency and no harmonics.
A harmonic for me is a component (...
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1answer
56 views
Estimating the SNR of 2-FSK
I have some iq data recordings of a 2-FSK waveform that I've created periodograms from. How do you estimate the SNR of this waveform in the frequency domain? I've heard two opinions:
One:
Integrate ...
0
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1answer
31 views
Amplitude in frequency domain of the same signal measured at different bandwidth (f_max - f_min) and different FFT lines
Fourier series in complex form
Fourier series in trigonometry form
Here, I'm measuring the same signal (an impulse force - or at least as close as possible to an impulse, represented by a knocking ...
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0answers
18 views
What is the requirement to reconstruct a spatial domain signal if we sample in the frequency domain?
I've come across an interesting question with regarding to signal reconstruction.
The sampling theorem states that a signal in the time or spatial domain must be sampled at twice a rate twice the ...
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1answer
39 views
Meaning of the frequencies vector using fft
I'm so confused, and it would be nice if someone could clear my head, or at least direct me to suitable references.
Assume that I have two gaussian pulses with the same bandwidth in time, but for 2 ...
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0answers
19 views
The best method to convert piano sound to music notes in real time [duplicate]
I was looking for a way to convert piano sounds to piano notes for my research. I discovered the conversion of piano sound to piano notes using FFT and piano note recognition using CQT. I am also a ...
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1answer
36 views
I need help interpreting FFT diagram
I need help with analyzing the computed FFT of my signal. I don't wanna bother by going into the details of how my signal is formed so I will just state which frequencies I know my signal has. I know ...
3
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1answer
297 views
The Proper Way to Do Sinc Downsampling (DFT Downsampling) for Uniformly Sampled Discrete Signals with Finite Number of Samples
Given a signal $ \left\{ x [ 0 ], x [ 1 ], ..., x [ N - 1 ] \right\} $ what would be the correct way to downsample it in the frequency domain (Sinc interpolation)?
4
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1answer
72 views
Finding the Transfer Function of a Multiplicative Distortion in MATLAB
I have the frequency response of two signals shown above. One is uncontaminated, and the other is the same signal contaminated by a multiplicative distortion with two poles and two zeros. I need to ...
2
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1answer
79 views
Dealing with bias in an FFT for frequency correction
I'm working on using an FFT for frequency correction of a generic modulation signal. My algorithm basically attempts to balance the energy in the positive and negative frequencies of the FFT to be ...
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0answers
36 views
Extrapolation of band-limited frequency data
I'm now studying "How to do accurate transform from band-limited frequency data specifically S-parameter data of high speed interconnect to the causal impulse response in time domain. There are ...
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0answers
47 views
Average of magnitude data
I'm trying to reduce my magnitude spectra, which I need in octave bands. I have 5 measurements of a sound source, recorded with the same microphone at different times. I want to get an average model ...
2
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1answer
112 views
Designing a Chirp in the Frequency Domain
I am trying to create a chirp signal in the frequency domain, by simply setting the magnitudes of each frequency bin to one, and then setting the phase delay function such that the resulting time ...
1
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1answer
44 views
The cost function of LS algorithm
I'm trying to understand the derivation of LS algorithm for channel estimation in OFDM.
Could anyone explain why do we need complex conj transpose in the below equation?
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0answers
69 views
Sweep synthesis in frequency domain: How to correctly adjust magnitude?
I'm attempting to synthesize a logarithmic sweep signal to measure the IR of a system. For the most part, I'm following Section 5.2 of the paper Transfer Function Measurement with Sweeps.
To generate ...
0
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0answers
48 views
Is it possible to apply a fractional delay to even-length signals using the frequency-domain phase shift method?
Suppose I have the following Python function to apply any real-valued circular delay to a signal by multiplying by a phase factor in the frequency domain:
...
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0answers
26 views
In audio analysis, is the first rahmonic from the cepstrum equivalent to the first partial of a pitched sound?
I was reading this text from Oppenheim and Schafer, briefly explaining the concept of the cepstrum. I'm new to this concept.
He explains that the cepstrum is useful to quantize the distance between '...
0
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1answer
41 views
Continuously changing pitch of stable-pitch audio sample
I have an 44100-rate 4 second sample of a legato violin playing at 440 Hz. I would like to modulate this sample so that it starts at 440 Hz, then transforms its frequency continuously and ...
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3answers
362 views
If a square wave is a sum of odd harmonic impulses, why is it continuous in the frequency domain?
A square wave is a sum of sinusoids so surely it should be represented as individual discrete impulses in the frequency domain, where all other frequencies are 0. Why instead are those intermediate ...
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0answers
37 views
How to downsample a fourier transformed signal?
I have a signal of length 100000 timestamps sampled at a frequency of 25kHz. First I apply a high pass filtering at (300Hz) and then do the Fast Fourier Transformation. Then the absolute values are ...
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1answer
33 views
Names of system functions in frequency domain
I was just trying to refresh my systems theory known from long ago, and I realized that I had forgetten the name of the basic functions. Specifically, what are the names of these functions ...
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1answer
66 views
Is pitch detection for bass instruments a solved theme?
I would like to know if pitch detection is a solved theme for an instrument like a bass (bass tones).
Is it, or there is always a percentage of error rate on the detection?
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1answer
76 views
Why use PSD to analyze a signal instead of its Fourier Transform?
Let's imagine I have a perfectly known signal $s(t)$ and I want to analyze its frequency components.
I noticed that mostly everyone would use the PSD of $s(t)$ to do that, instead of simply use the ...
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1answer
62 views
Steady state variance of a stochastic differential equation - relation between the frequency and time domains
Consider a stochastic differential equation:
$$
dx(t) = a x(t)dt + b y(t)dt \quad (1)
$$
where $y(t)$ is a stochastic process satisfying $\langle y(t)y(t')\rangle = \delta(t-t')$. We will assume that ...
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1answer
23 views
Is it possible to prove that dither VS PWM can result the same output?
Assume that we have a SISO transfer function model $G(s)$ and we want to look how the output looks like when we have a input signal $u(t)$ that looks like this:
$$u_1(t) = \left\{\begin{matrix}
50 + ...
2
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2answers
213 views
Proof of fourier transformation of multiplication of two signals
I've been trying to find a proof of the following, but still I m unable to proof it, can someone help me?
$$
ℱ[x(t)g(t)] = \frac{1}{2\pi}
[X(\omega)*G(\omega)]
$$
-1
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1answer
59 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 ...
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3answers
319 views
What is the Effect of Multiplying a Function by the Unit Impulse Function in the Frequency Domain?
I know about the the shifting property of the impulse function in the time domain as can be seen in equation $(1)$.
$$
\int_{-\infty}^{\infty} f(x)\delta(x - a)dx = f(a)\tag{1}
$$
But what is the ...
0
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1answer
100 views
phase offset extraction using matched filter
I'm looking for an application of detecting the drift of a received signal carrier frequency from ADC clock of the receiver (in case of no drift, ADC clock should be optimally an integer multiple of ...
0
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1answer
75 views
ouput of low pass filter
$$y[n]=(-1)^n w[n]+w[n]$$
$n$ ranges from $-\infty$ to $\infty$
where $w[n]$ is output of frequency response block with cutoff frequency = $\pi/2$, and input is unit impulse function.
I know ...
0
votes
1answer
79 views
Derivation of Circular Mean Square Error
I would like to understand how Eq. (36) in [2] was derived:
The rationale behind the definition of circular sample mean in Eq. (37) is clear, but there is no motiviation for the CMSE definition in Eq....
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2answers
59 views
Digital filtering based on frequency component amplitude… why not?
I've got a very general question.
I've just implemented a filter working in frequency domain that simply cuts every frequency component whose modulus amplitude falls below a certain threshold value. ...
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1answer
35 views
Continuous frequency grid to discrete grid
I am designing a controller for a system using several methods, one of which is a discrete method. In the continuous time I am looking at a logarithmically spaced frequency grid in the range $$\omega \...
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1answer
116 views
Why does this transfer function estimation not work? System identification
Goal:
I have an unknow dynmical system $G(s)$ and I want to find it from measurement data, output $y(t)$ and input $u(t)$. The data is frequency responses.
Method:
I begun first with creating the ...
4
votes
1answer
372 views
Convolution Theorem using DCT
I am trying to digest this paper.
[2002] Anna Usakova. Using Of Discrete Orthogonal Transforms For Convolution
So far, I've been successful with DFT and DHT.
Could someone give a hand with DCT?
I am ...
0
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1answer
92 views
Is it true that each and every signal has multiple frequency components?
Usually when we observe spectrum of a signal,we see multiple frequency components, each having different contribution to amplitude
But is it true that each and every signal has multiple frequency ...
