A system is designed to show the frequency components in an input signal using a

Question

A system is designed to show the frequency components in an input signal using an FFT calculation on consecutive blocks of 2048 data points. The analog-to-digital converter sampling rate is 20 kHz. (a) Describe the anti-alias filter that should be used in this system. (b) What is the time span in seconds of a block of 2048 samples? (c) What is the spacing (Hz) of the 2048 frequency-domain components? (d) What is the total range (Hz) of frequency components (positive and negative)? (e) What specific frequency-domain values are the closest to 1000 Hz?

Explanation / Answer

a)we need to use Lowpass filter as anti-alias filter that have min 20Khz as cut- of frequency

b)The time span is 1/20K=0.05msec

c)The spacing of the 2048 freq-Domain components=Sampling rate/no of FFT points=20K/2048=9.8Hz

d)The total range=-Sampling rate/2 to (Sampling rate/2 -Sampling rate/nfft)=(-20K/2) t0 ((20K/2)-(20k/2048))=-10Khz to 9.9Khz

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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