PSA: Given the following: y(n)=x[n]-x(n-1) 1. What kind of FIR filter is this? 2. Write the correct expression for H(el) 3. What is the Order of this filter?

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PSA: Given the following: y(n)=x[n]-x[n-1]
1. What kind of FIR filter is this?
2. Write the correct expression for H(el)
3. What is the Order of this filter?
4.
What is the length of the filter?
5. Derive an expression for the voltage magnitude of the H(el)
6.
Plot on the y-axis "voltage" Magnitude of H(el) versus on the x-axis for -pi < @ < pi
7.
Plot the pole zero diagram of H(e)
8.
Plot on the y-axis Group delay in terms of samples for H(e) versus on the x-axis for -pi < @ <
pi
9. Plot impulse response on the y-axis for this filter versus the x-axis # of sample
10. Plot step response on the y-axis for this filter versus x-axis # of samples
11. Draw the Direct form of the filter similar to Figure 5-16
12. Draw the Transposed form similar to Figure 5-17.
Now change the sampling rate to 100 sample per second and
13. Plot voltage magnitude of H on the y-axis and frequency in Hz on the x-axis
14. Plot the Group delay in terms of seconds on the y-axis and frequency in Hz on the x-axis.
15. Plot the y-axis impulse response in terms of seconds on the x-axis
16. Plot the step response on the y-axis for this filter in terms of seconds on the x-axis
Transcribed Image Text:PSA: Given the following: y(n)=x[n]-x[n-1] 1. What kind of FIR filter is this? 2. Write the correct expression for H(el) 3. What is the Order of this filter? 4. What is the length of the filter? 5. Derive an expression for the voltage magnitude of the H(el) 6. Plot on the y-axis "voltage" Magnitude of H(el) versus on the x-axis for -pi < @ < pi 7. Plot the pole zero diagram of H(e) 8. Plot on the y-axis Group delay in terms of samples for H(e) versus on the x-axis for -pi < @ < pi 9. Plot impulse response on the y-axis for this filter versus the x-axis # of sample 10. Plot step response on the y-axis for this filter versus x-axis # of samples 11. Draw the Direct form of the filter similar to Figure 5-16 12. Draw the Transposed form similar to Figure 5-17. Now change the sampling rate to 100 sample per second and 13. Plot voltage magnitude of H on the y-axis and frequency in Hz on the x-axis 14. Plot the Group delay in terms of seconds on the y-axis and frequency in Hz on the x-axis. 15. Plot the y-axis impulse response in terms of seconds on the x-axis 16. Plot the step response on the y-axis for this filter in terms of seconds on the x-axis
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