34 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 ...
Dan Boschen's user avatar
  • 50.3k
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: $$ \|...
Laurent Duval's user avatar
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 ...
hotpaw2's user avatar
  • 35.3k
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 ...
Hilmar's user avatar
  • 44.1k
5 votes

Difference between ADC dynamic range and voltage resolution?

ADC resolution is the level of one quantization step in the units of magnitude desired (such as volts to refer to the input, or counts to refer to the digital output levels). The resolution is the ...
Dan Boschen's user avatar
  • 50.3k
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 ...
Max's user avatar
  • 2,215
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 ...
TimWescott's user avatar
  • 12.6k
3 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 ...
Dan Boschen's user avatar
  • 50.3k
3 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 ...
mac13k's user avatar
  • 247
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 ...
Mohammad M's user avatar
  • 1,327
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 ...
hotpaw2's user avatar
  • 35.3k
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 ...
Dan Boschen's user avatar
  • 50.3k
3 votes

Difference between ADC dynamic range and voltage resolution?

A 10-bit ADC with a $5 \ \text{V}$ reference has the relative amplitude resolution $$\Delta V_\text{lsb} = \frac{5 \ \text{V}}{2^{10}} = 4.88 \ \text{mV}. $$ For an input voltage of $4.88 \ \text{mV}$ ...
Carl's user avatar
  • 334
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 ...
Marcus Müller's user avatar
2 votes
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 ...
Jason R's user avatar
  • 24.6k
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 ...
Laurent Duval's user avatar
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 ...
Shutupandplay tuts's user avatar
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 ...
kalgoritmi's user avatar
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 ...
M.FAKHFAKH's user avatar
2 votes

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 ...
hotpaw2's user avatar
  • 35.3k
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 ...
Fat32's user avatar
  • 28.1k
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 ...
Envidia's user avatar
  • 2,436
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 ...
Hilmar's user avatar
  • 44.1k
2 votes

Difference between ADC dynamic range and voltage resolution?

The difference between the resolution and dynamic range used in ADC characterization As with many other special terms of signal processing and electronic engineering, these words are typical cases of ...
V.V.T's user avatar
  • 1,729
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 ...
Hilmar's user avatar
  • 44.1k
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 ...
Olli Niemitalo's user avatar
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 ...
FourierFlux's user avatar
1 vote

Multi Resolution STFT for audio

Try the IIR Constant-Q Transform (essentially an FFT with post-processing which will do what you want): https://iie.fing.edu.uy/~pcancela/iir-cqt/ The accompanying paper compares it to the ...
onthefritz's user avatar
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 ...
Hilmar's user avatar
  • 44.1k

Only top scored, non community-wiki answers of a minimum length are eligible