Question

In a recent article, a mathematician claimed that by using a DFT to process 1 second of signal data it was possible to detect the presence of two sinusoids of roughly the same amplitude but separated by only 0.75 Hz. Is that really possible? Give a complete explanation of your answer. (No... you don't need to know the sampling rate!!!)

Name: in a recent article a mathematician claimed that by using a dft to process 1 second of signal data it was possible to detect the presence of two sinusoids of roughly the same amplitude but s 52766
Uploaded: 2023-06-07T05:59:40-08:00
Duration: 1 min 15 s
Channel: Madhur L
Description: in a recent article a mathematician claimed that by using a dft to process 1 second of signal data it was possible to detect the presence of two sinusoids of roughly the same amplitude but s 52766

          In a recent article, a mathematician claimed that by using a DFT to process 1 second of signal data it was possible to detect the presence of two sinusoids of roughly the same amplitude but separated by only 0.75 Hz. Is that really possible? Give a complete explanation of your answer. (No... you don't need to know the sampling rate!!!)

in a recent article a mathematician claimed that by using a dft to process 1 second of signal data it was possible to detect the presence of two sinusoids of roughly the same amplitude but s 52766

Added by Alicia Y.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

06/07/2023

Step 1

The relationship is given by: $\Delta f = \frac{f_s}{N}$ where: * $\Delta f$ is the frequency resolution * $f_s$ is the sampling frequency * $N$ is the number of samples Show more…

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In a recent article, a mathematician claimed that by using a DFT to process 1 second of signal data it was possible to detect the presence of two sinusoids of roughly the same amplitude but separated by only 0.75 Hz. Is that really possible? Give a complete explanation of your answer. (No... you don't need to know the sampling rate!!!)