How to obtain the sampling frequency of frequency data

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SUMMARY

The discussion centers on determining the sampling frequency for frequency response data in MATLAB, specifically data ranging from 1 Hz to 20 kHz with a 1 Hz increment. The key conclusion is that the sampling frequency should be set at double the maximum frequency of the dataset, which is 40 kHz, in accordance with the Nyquist theorem. This understanding is crucial for accurately converting frequency responses into impulse responses and measuring their duration.

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  • Knowledge of frequency response and impulse response concepts
  • Familiarity with the Nyquist theorem
  • Basic principles of Fourier transforms
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Signal processing engineers, MATLAB users, and anyone involved in analyzing frequency response data and converting it to impulse responses.

biscuits
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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 responses in order to measure the duration of this Impulse response. I am a bit confused though on what is the sampling frequency of my data. I need this information I guess in order to calculate time.

Is it the highest frequency of my dataset (that is 20 kHz) or double this frequency (40 kHz).

Thanks
 
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Assuming I have understood you correctly, you essentially have a Fourier transform of a signal as this data set you are talking about? Your sampling frequency will be double the maximum resolved frequency. It is the concept of the Nyquist frequency.
 

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