The Frequency Response of Discrete Filters Part 1 The difference equation yin] =

Question

The Frequency Response of Discrete Filters Part 1 The difference equation yin] = x[n]-x(n-N] produces a so-called "comb filter" (i) What is the impulse response of such a filter? (ii) 1. Plot the MAGNITUDE frequency response for N-8 (absolute value and NOT in dB). Use a frequency range from 0-20kHz. The sampling frequency is 48kHz 2. A comb filter has the property that for sinusoidal inputs at certain evenly-spaced frequencies, the output is zero. (i) Determine the frequencies at which the output is zero. (ii) Let the input to the comb filter be a sinewave of frequency 6000Hz. Its amplitude is Write code to determine and plot the output from the comb filter. The sampling frequency is 48kHz. The comb filter has N-8. Plot 1000 samples of the output. Comment on the output

Explanation / Answer

1. Take the Z transform on both sides.

Y(z)=X(z)-z^-N*X(z)

Y(z)/X(z)=1-z^-N=Z transform of impulse response

Now taking inverse Z of above function. impulse response= del[n]-del[n-N]

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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