01: If a digital filter has deference equation y[n] = x[n] – 0.25 x[n-1]+ 0.5 k y[n]. a- What is the filter transfer function? b- Draw at the z-plane the poles and zeros. c- The range of k values that make the filter stable. d- The frequency response of the filter at the frequency equal to one third of the sampling frequency at k=1. e- Construct the block diagram of the filter. f- What is the filter type and order?

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Q1: If a digital filter has deference equation y[n] = x[n] – 0.25 x[n-1] + 0.5 k y[n].
a- What is the filter transfer function?
b- Draw at the z-plane the poles and zeros.
c- The range of k values that make the filter stable.
d- The frequency response of the filter at the frequency equal to one third of the
sampling frequency at k=1.
e- Construct the block diagram of the filter.
f- What is the filter type and order?
Transcribed Image Text:Q1: If a digital filter has deference equation y[n] = x[n] – 0.25 x[n-1] + 0.5 k y[n]. a- What is the filter transfer function? b- Draw at the z-plane the poles and zeros. c- The range of k values that make the filter stable. d- The frequency response of the filter at the frequency equal to one third of the sampling frequency at k=1. e- Construct the block diagram of the filter. f- What is the filter type and order?
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