# What is Sampling frequency: Definition and 15 Discussions

In signal processing, sampling is the reduction of a continuous-time signal to a discrete-time signal. A common example is the conversion of a sound wave (a continuous signal) to a sequence of samples (a discrete-time signal).
A sample is a value or set of values at a point in time and/or space. A sampler is a subsystem or operation that extracts samples from a continuous signal. A theoretical ideal sampler produces samples equivalent to the instantaneous value of the continuous signal at the desired points.
The original signal is retrievable from a sequence of samples, up to the Nyquist limit, by passing the sequence of samples through a type of low pass filter called a reconstruction filter.

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1. ### Modern Digital Audio: Understanding Dither and Oversampling in Hi-Res Age"

I have recently been investigating modern digital audio. First, we need some background in Digital Signals. This can be mathematically quite advanced, but since I would like this post to be accessible to as wide an audience as possible, here is a link that explains what is needed (not even...

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3. ### Digital Filters: why is sampling frequency equal to 2*pi unit circle

Hi, I was working through a filter design problem and got stuck on a concept. Scenario: Let us say we have the following pulse transfer function and the sampling frequency is ## f_s = 50 \text{Hz} ##. G(z) = \frac{1}{3} \left( 1 + z^{-1} + z^{-2} \right) The zeros of the transfer function...
4. ### MATLAB Deconvolving two signals with different sampling rates

Hi, So i am in a fix now. I have a discrete time signal which is produced by a device with Nyquist frequency as 50MHz and 1088 samples (there is nothing i can do with the device to change the frequency or number of samples). I have an analytical signal which is produced in the frequency domain...
5. ### MATLAB Issue in EMG signal using matlab with arduino

Hello I'm working on project for "design & implementation of EMG data acquisition" for now I completed the design and connected the output of the system to arduino uno to read the emg signal in real time with MATLAB 2017b using arduino support package. the problem is that the signal looks as...
6. ### Does anybody know the sampling frequency of a cop radar?

More specifically, does anybody know the sampling frequency of a mounted 360 degree cop radar? NOT a conical/directional hand-held radar gun.
7. ### Nyquist frequency and sampling frequency

Homework Statement ##N= \frac{2 f_s}{f_{lowest}}####\frac{f_s}{2} - \frac{f_s}{N}## Homework Equations - The Attempt at a Solution I have these equations listed on a formula sheet but I do not know what they are used for. It is from a chapter titled "Discrete Sampling and Analysis of Time...
8. ### Exersize related to sampling frequency of 2D signal

For an image, higher the dimensions of image ,more is the resolution of the image.But is there any relation present between sampling frequency and dimensions of image? Also, Whether the Number of samples presents in an image is equal to product of dimensions of image?
9. ### Finding sampling frequency for analog to digital conversion

The input signal to an analog to digital converter is x(t) = 5.4 cos (134.5πt + 0.1π). The output from the converter is y(n) = 5.4 cos (0.47πn - 0.1π). Compute the sampling frequency (samples per second) of the analog to digital converter. Hint: the continuous-time input signal is...
10. ### Accurate phase measurement with relativly low sampling frequency

Hello. To give some more information on what I am to use this for: I have two signals. Both are periodic sine waves with the same frequency, but with a constant phase difference. Let's call one of the signals for ref (reference) and the other sig (signal). They can look like this: ref(t)...
11. ### Sampling frequency and square waves

Homework Statement Lets say I have a square wave of 10Hz. I want a good sampling frequency or the Nyquist rate (minimum) to accurately capture its characteristics without aliasing. Is it enough to use 10Hz x 2 as nyquist rate, or must I break it down into harmonic frequencies? and use...
12. ### How to obtain the sampling frequency of frequency data

Hi everybody, this is my first question in this forums. I have some complex data in Matlab the absolute value of which represent a frequency response. My data extend from 1 Hz to 20 kHz and have an incremental frequency of 1 Hz. I now need to convert this frequency responses in Impulse...
13. ### Effect of sampling frequency changes in OFDM

[MODDERATOR NOTE: The OP has a follow up question. I added it to the end of this thread.]
14. ### Solving Sampling Frequency Exam Questions

hello everyone, I have an exam question about sampling frequency. Actually i really don't get the concept. I have limited sources. Question: Bandwith of x(t) 10 kHz y(t) obtained modulating x(t) with a sinus wave with frequency 30 kHz. y(t) sampled a) What is the sampling frequency...
15. ### Trouble understanding fft norm axis sampling frequency etc

Hello, I have a question regarding fft's. My experience with working with Fourier transforms is pretty much limited to transforming contrived functions pen and paper style. But now I need something and I think the fft is the appropriate tool, but I'm having a hard time understanding some...