Need help for my homework questions for ECET 350

 

2.  For a seven-term moving average filter, write an expression for the

a. difference equation

b. impulse response

c. transfer function

d. frequency response

 

3a.  Sketch a frequency response for a seven-term moving average filter using dB for magnitudes and degrees for phases.  Use digital frequency steps of π/8 radians or smaller.

 

3b.  With reference to the frequency response sketch, explain why this filter can guarantee that no pass  and phase distortion will occur.

 

8a.  The magnitude response for a filter in a 22kHz sampled system in Figure 9.70.  Determine the:

a. Pass band ripple

b. Stop band ripple

c. Bandwidth (Hz)

d. Stop band attenuation

e. Center frequency (Hz)

f. Transition width (Hz)

FIGURE 9.7:

 

10.  Draw a nine-term windows, w[n] versus n, for each of the following window types:

b. Hanning

 

11. Draw magnitude responses, |W(Ω)| versus Ω, for nine-term windows of each of the following window types:

b. Hanning

 

12. For each of the following low pass filter specifications, select an FIR window type and identify the number of terms needed to meet the requirements:

b. Stop band attenuation 50 dB; transition width 2kHz; sampling frequency 5kHz

d. Pass band gain 10dB; stop band gain - 30 db; pass band edge frequency 5kHz; stop band edge frequency 6.5 kHz; sample frequency 22kHz

 

14. Find the number of zeros, poles, and coefficients that characterize an FIR filter with:

a. N = 51 terms

b. N = 101 terms

2.For a seven-term moving average flter, write an expression ±or thea. di²erence equaTonb. impulse responsec. trans±er ±uncTond. ±requency response3a.Sketch a ±requency response ±or a seven-term moving average flter using dB ±or magnitudes anddegrees ±or phases.Use digital ±requency steps o± π/8 radians or smaller.3b.With re±erence to the ±requency response sketch, explain why this flter can guarantee that no passand phase distorTon will occur.8a.³he magnitude response ±or a flter in a 22kHz sampled system in Figure 9.70.Determine the:a. Pass band rippleb. Stop band ripplec. Bandwidth (Hz)d. Stop band a´enuaTone. Center ±requency (Hz)±. ³ransiTon width (Hz)FIGURE 9.7:10.Draw a nine-term windows,w[n] versusn, ±or each o± the ±ollowing window types:b. Hanning

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