Question

A signal x(t) that is band-limited to 10 kHz is sampled with sampling frequency of 20 kHz. The DFT of N = 1000 samples of x(n) is then computed. To what analogue frequency does the index k = 854 correspond?

Name: A signal x(t) that is band-limited to 10 kHz is sampled with sampling frequency of 20 kHz. The DFT of N = 1000 samples of x(n) is then computed. To what analogue frequency does the index k = 854 correspond?
Uploaded: 2023-08-02T03:45:19-08:00
Duration: 2 min 50 s
Channel: Madhur L
Description: A signal x(t) that is band-limited to 10 kHz is sampled with sampling frequency of 20 kHz. The DFT of N = 1000 samples of x(n) is then computed. To what analogue frequency does the index k = 854 correspond?

          A signal x(t) that is band-limited to 10 kHz is sampled with sampling frequency of 20 kHz. The DFT of N = 1000 samples of x(n) is then computed. To what analogue frequency does the index k = 854 correspond?

A signal x(t) that is band-limited to 10 kHz is sampled with sampling frequency of 20 kHz. The DFT of N = 1000 samples of x(n) is then computed. To what analogue frequency does the index k = 854 correspond?

Added by Jasmine C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

08/02/2023

Step 1

Step 1: Identify the given parameters: - Band-limited signal frequency: \( f_{\text{max}} = 10 \text{ kHz} \) - Sampling frequency: \( f_s = 20 \text{ kHz} \) - Number of samples: \( N = 1000 \) - DFT index: \( k = 854 \) Show more…

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