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An N-point Discrete Fourier Transform (DFT) is implemented to compute the spectrum of samples of an Electro Dermal Activity (EDA) signal. Sebuah Discrete Fourier Transform
An N-point Discrete Fourier Transform (DFT) is implemented to compute the spectrum of samples of an Electro Dermal Activity (EDA) signal. Sebuah Discrete Fourier Transform (DFT) N-titik dilaksanakan untuk mengira spektrum sampel isyarat Electro Dermal Activity (EDA). a. An N-point implementation of the DFT requires N/2*log (N) arithmetic operations. If each N-point operation consumes 10 clock cycles and the CPU speed is 4GHz, what is the maximum N-point DFT that can be implemented for real-time EDA analysis? [2 marks] (Pelaksanaan N-titik DFT memerlukan N/2*log (N) operasi aritmetik. Jika setiap operasi N-titik menggunakan 10 kitar jam dengan kelajuan CPU ialah 4GHz, apakah N-titik maksimum DFT itu supaya analisis EDA boleh dilaksanakan pada masa nyata?) [2 markah] b. Figure 3 shows the spectrum result of signal x[i]. Sketch signal x[0). and clearly label x-axis and y-axis. What are the signal frequency and sampling frequency? [3 marks] (Rajah 3 menunjukkan hasil spektrum isyarat x[t). Lakarkan isyarat x[t) dan label paksi-x dan paksi-y dengan jelas. Apakah frekuensi isyarat dan frekuensi persampelan?) (3 Markah] 200000 175000 150000 125000 Amplitude 100000 75000 S0000 25000 2000 2000 12000 16000 20000 24000 28000 32000 36000 40000 Sample Figure 3: Frequency response of signal x[t] c. Write a Scilab code to implement a four-pole low-pass filter for frequency below 4000 sample according to Figure 3. [4 Marks] (Tulis kod Scilab untuk melaksanakan penapis lulus rendah empat-tiang untuk frekuensi di bawah sampel 4000 mengikut Rajah 3.) [4 Markah] d. For the given CPU speed as in question 2(a), which type of digital filter is faster for the same filter order/pole? Explain. [1 Marks) (Untuk kelajuan CPU yang diberikan seperti soalan 2(a), jenis penapis digital yang mana adalah lebih cepat untuk tertib/tiang penuras yang sama?. Jelaskan) [1 Markah]
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