4. A signal is sampled at 1,024 samples/second and you have collected and stored

Question

4. A signal is sampled at 1,024 samples/second and you have collected and stored 32,768 samples after sampling. You apply the FFT algorithm to it, using all of the stored data. What will be the frequency resolution of the FFT in hertz? 5. You are required to sample a signal consisting of a mixture of 10, 10.25, and 12 Hz sinusoids that you want to be able to resolve in your Fourier (spectrum) analysis. Your data acquisition hardware can store up to 32,768 samples. Assuming that you store all 32,768 samples, what is the range of sampling frequencies such that you neither violate the Nyguist theorem nor go above the needed resolution?

Explanation / Answer

4

requency resolution = 1024/32768 = 0.03125 Hz

5

lowest sampling frequency = 2* fmax = 2*12 = 24 Hz ( by nyquest theorem)

lowest sample frequency = sampling frequency / number of samples = 24/ 32768 =7.3242*10^-4

Related Questions

Navigate

• Browse (All)
• Browse 4
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.