33
votes
Accepted
What are advantages of having higher sampling rate of a signal?
Sampling at a higher frequency will give you more effective number of bits (ENOB), up to the limits of the spurious free dynamic range of the Analog to Digital Converter (ADC) you are using (as well ...
- 45.9k
6
votes
Accepted
Uncertainty principle - Duration bandwidth principle
An important theorem, known as Weyl's, 1931, is:
if function $s(t)$ and related functions $ts(t)$, $s'(t)$ are in $L^2$ (square integrable) with the related $\|\cdot\|$ $L_2$ norm symbol then:
$$ \|...
- 31.3k
6
votes
What are advantages of having higher sampling rate of a signal?
If you sample at a higher sample rate, you need to analyze (e.g. feed to your CNN) a proportionately longer sample vector to get about the same frequency resolution (or other characteristics of any ...
- 34.7k
6
votes
Accepted
How to Increase the Resolution of a Video from a Sequence of Photos?
One way to do it is to solve a MAP problem of the up scaled video and using the High Resolution images as a prior.
Try looking at the articles - Super Resolution MAP.
- 50.4k
5
votes
Relation of zero-padding and frequency resolution
why do I get "better" frequency resolution in case of adding zero-padding to this signal.
You do and you don't. Zero padding increases resolution by interpolating between existing data ...
- 39.2k
4
votes
Reduce the number of frequencies after FFT
Apply a sliding window function of 500 samples length to the signal, for example a Hamming window. Choose a suitable overlap between windows e.g. 75%. Calculate the spectrum of each window and then ...
- 2,070
4
votes
Accepted
Using oversampling to increase resolution of a DC-signal as input
My input signal is a dc signal (sensor output) and im getting kind of a headache to understand why oversampling can increase the resolution of dc signals.
The ADC puts out integers. So, let $x$ be ...
- 11.3k
4
votes
FFT with High Time and Frequency Resolution
Time frequency resolution is a long debate in the DSP communities.
But modern models has proved that the resolution isn't limited by the DFT because usually we know more about the signal but its ...
- 50.4k
3
votes
WFM SDR and Audio resolution
how does the SDR sample rate translate to sample rate and bit depth of the resulting audio signal?
Extremely indirectly. I haven't got precise mathematical formulas for you, but here's an overview of ...
- 520
3
votes
Basic difference between Multi-scale and Multi-resolution images
In scale space the square of width of blurring kernel considered as the scale (variance of Gaussian and not its Standard deviation because if you sequentially blur an image with 2 Gaussian kernel ...
- 1,328
3
votes
Relation of zero-padding and frequency resolution
Zero padding before an FFT increases the number of interpolated points to plot from the longer result, by doing a high quality Sinc interpolation.
With a higher density of plot points, the probability ...
- 34.7k
3
votes
Accepted
Methods to increase FFT time resolution without lowering FFT size
Yes. Windowing will decrease the frequency resolution and therefore increase time resolution. The resolution bandwidth as the inverse of time resolution is well tabulated in the classic paper by fred ...
- 45.9k
2
votes
Origin of brightness artifacts in intensity resolution compressed images
I've taken the original tiff and just set a low threshold for 1bit quantization (conversion to black and white):
so we can clearly make out that these artifacts look very circular, and placed in ...
- 28.3k
2
votes
Basic difference between Multi-scale and Multi-resolution images
The definitions behind the concepts of multiresolution or multiscale may overlap somehow, and are sometimes used interchangeably.
Let me provide the following distinction: resolution encompasses ...
- 31.3k
2
votes
Does using the Goertzel algorithm actually give better frequency resolution?
I was not able to access the article you were referring to, but I think you may find this one quite interesting. The authors presented their version of Goertzel algorithm which can be used to find ...
- 217
2
votes
How to increase resolution of FFT?
The resolution of a FFT can be described as FS/N , where FS is the sampling frequency and N is number of points. If you want more resolution in your case just take aquire more data before running FFT ...
2
votes
The effects of frequency resolution in FFT on the frequency spectrum
What may explain why your spectrum is noisy is that you are computing it using a single burst of data. You will have to smooth it by averaging successive spectrums applied on your measurements. The ...
- 98
2
votes
Separability vs. Resolution - Synonymous terms?
Most technical terms, such as these two, do not get their definitions purely from their etymology, but rather from the context of application, by experience and by tradition of acceptance.
And for ...
- 27.6k
2
votes
Accepted
Quantization error of SAR-ADCs
What the OP shows is the difference between truncation and rounding which in terms of error simply introduces an offset. They generate the same quantization noise spectrally; the standard deviation of ...
- 45.9k
2
votes
What is the effect of a larger window size on "temporal resolution"?
You have probably heard of the uncertainty principles that arise in physics, with the most famous of all being the Heisenberg's uncertainty principle. But the uncertainty principle applies to signals ...
- 247
2
votes
Accepted
Alias free-range extent and range resolution formula proof
The range in FMCW radars is found by generating a beat frequency after homodyning with the received signal. That beat frequency can be mapped to the target's range based on the parameters of the ...
- 2,046
2
votes
Methods to increase FFT time resolution without lowering FFT size
is it possible to overcome issues in time resolution by methods such as overlap FFT
Yes and no. You can certainly increase time resolution by having more overlap, but this results only in ...
- 39.2k
1
vote
Accepted
Effective Nyquist frequency / signal resolution for overlapping time averaged signal samples
The process that you are describing can be broken down into two steps
Filter with a moving average filter with length $t_{width}$
Sampling with an interval $delta\_t$
A moving average filter is a ...
- 39.2k
1
vote
Accepted
Is it worth recording 4K resolution from a 1080p camera input?
I do not know how the choice between 1080p and 4K affects the recording quality in Ecamm live.
But it makes sense to convert a high-bitrate 1080p video to high-bitrate 4K video before uploading to ...
- 13.2k
1
vote
How can I improve the resolution of a spectrogram of a low-frequency signal with high sampling frequency (Python)?
I'm not sure but there's something called the time-frequency resolution limit, basically the shorter your windowing interval the broader your spectrum is going to be.
The frequency resolution in the ...
- 858
1
vote
Multi Resolution STFT for audio
I've done multi-resolution spectrograms before, so they're not impossible (a unicorn). One method is to zero-pad the shorter data window (for better time locality resolution) to the same length FFT ...
- 34.7k
1
vote
How do I add more resolution / taps to an analog -> digital filter?
Doing a decent sounding audio reverb with IIR filters is difficult. You need way more poles that you can generate with a normal IIR structure and you need a way to do it efficiently.
There is a ...
- 39.2k
1
vote
THD requirement for generated sine
This can't be the way to go: If you have an ideal LPF, one-bit DAC is always sufficient. (Hint: Draw the spectrum of a square wave. Draw the pass band of your LPF on top.)
You don't have an ideal LPF;...
- 28.3k
1
vote
Accepted
How to increase the spectral resolution?
You seem to have a good grasp of the tradeoffs. When using short-time Fourier analysis like you are, there is a version of the uncertainty principle at play. Increasing your time resolution (in your ...
- 24.3k
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