How to obtain the sampling frequency of frequency data

AI Thread Summary
The discussion centers on determining the sampling frequency for frequency response data in Matlab, which ranges from 1 Hz to 20 kHz with 1 Hz increments. The user is confused about whether the sampling frequency is the highest frequency (20 kHz) or double that value (40 kHz). The response clarifies that the sampling frequency should be double the maximum resolved frequency due to the Nyquist theorem. This means the appropriate sampling frequency for the user's data is indeed 40 kHz. Understanding this is crucial for converting frequency responses to impulse responses and measuring their duration accurately.
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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