Question

Figure-1 shows the signal synthesized cos(4?/32 n) in Matlab environment. Figure-1: x[n] time domain representation When the N-dimensional FFT of this signal is taken, the amplitude spectrum that appears is given in Figure-2. Figure 2. |X[k]| frequency domain display

          Figure-1 shows the signal synthesized cos(4?/32 n) in Matlab environment.
Figure-1: x[n] time domain representation
When the N-dimensional FFT of this signal is taken, the amplitude spectrum that appears is given in Figure-2.
Figure 2. |X[k]| frequency domain display

Figure-1 shows the signal synthesized cos(4?/32 n) in Matlab environment.
Figure-1: x[n] time domain representation
When the N-dimensional FFT of this signal is taken, the amplitude spectrum that appears is given in Figure-2.
Figure 2. |X[k]| frequency domain display

Added by Burak D.

Precalculus

Ron Larson 10th Edition

Chapter 4

Instant Answer

Solved by Expert Breanna Ollech

12/28/2023

Step 1

x(t) is the continuous time representation of a signal, while x[n] is the discrete time representation. To move from x(t) to x[n], you need to sample the continuous signal at discrete time intervals. This process is called sampling. The sampling rate determines Show more…

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a. What is x(t) which is the continuous time equation of signal x[n]? Explain how to move from x(t) to x[n]. b. What is FFT size? Please clearly state which shape you use when determining the FFT size. c. If the time signal is sampled at 8 kHz, what is the fundamental frequency of the signal? d. How do you calculate the fundamental frequency value you found from the time domain in the amplitude spectrum? e. Why are there two peaks in the FFT Amplitude spectrum? Explain the meaning of the hills and why they appear?