BE491留学生编程讲解、辅导Java，Python/c++程序设计
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1
Lab 3: Signals, filters and the frequency domain
Formatting
Single spaced
1 in margins
Arial 11 for text, Arial 9 for captions
Concise report (under 5 pages with figures)
Correct grammar and spelling
Answered questions in complete sentences/paragraphs
Figure format
Figure captions
Axes labeled
Legend (when appropriate)
Data lines/markers thicker than default
All figure text legible and font sufficiently large
Range for horizontal and vertical axes equivalent for all subplots within a figure
Identify each subplot within a figure
Checkpoint code (10 pts)
Abstract (10 pts)
State the purpose
Explain the relationship between the time and frequency domains
Explain analog-to-digital conversion
Explain how a filter works in the frequency domain
Describe the methods
Arduino code
Square waves, impulses
Low-pass filter, high-pass filter
FFT
Summarize the results
Ability to measure frequency response using different methods
Abstract is ~300 words or less
Results (70 pts)
Section 1 – Characterizing filters with square waves (20 pts)
Describe the following. Refer to Figures 1 and 2 in the text to illustrate and support your points.
How a filter can be characterized with square waves.
The signals generated by the Arduino.
The low-pass filter that was constructed and their cutoff frequencies.
The data that were collected.
BE491 Fall 2016 Lab 4 Solutions
2
How low-pass filters affect input waveforms and how this depends on waveform
frequency.
The analysis used to examine waveforms quantitatively.
The input waveforms in the frequency domain
How the waveform’s FFTs change as a result of low-pass filtering.
Section 2 – Characterizing filters with impulses (20 pts)
Describe how filters can be characterized with impulses. Qualitatively describe the impulse
response of the low pass filter in the time domain and frequency domain, and how it depends on
the capacitor value (and thus, cutoff frequency). Refer to Figure 3 in the text to illustrate and
support your points.
Section 3 (20 pts) – Comparing estimates of the filter frequency response
Describe three methods for characterizing filters in the frequency domain and how they were
achieved. Qualitatively describe how the estimates of the frequency response of the low-pass
filters differ using each method. Refer to Figure 4 in the text to illustrate and support your
points.
Section 4 (10 pts) – Characterizing a high-pass filter
Describe the difference between low-pass and high-pass filters. Describe how square waves
are shaped by high-pass filters in the time domain as well as how they are changed in the
frequency domain. Refer to Figure 5 and 6 in the text to illustrate and support your points.
Discussion (10 pts)
Discuss the advantages of and disadvantages of describing filters in the frequency domain
using different methods. Use 300 words or less
1
Lab 3: Signals, filters and the frequency domain
Formatting
Single spaced
1 in margins
Arial 11 for text, Arial 9 for captions
Concise report (under 5 pages with figures)
Correct grammar and spelling
Answered questions in complete sentences/paragraphs
Figure format
Figure captions
Axes labeled
Legend (when appropriate)
Data lines/markers thicker than default
All figure text legible and font sufficiently large
Range for horizontal and vertical axes equivalent for all subplots within a figure
Identify each subplot within a figure
Checkpoint code (10 pts)
Abstract (10 pts)
State the purpose
Explain the relationship between the time and frequency domains
Explain analog-to-digital conversion
Explain how a filter works in the frequency domain
Describe the methods
Arduino code
Square waves, impulses
Low-pass filter, high-pass filter
FFT
Summarize the results
Ability to measure frequency response using different methods
Abstract is ~300 words or less
Results (70 pts)
Section 1 – Characterizing filters with square waves (20 pts)
Describe the following. Refer to Figures 1 and 2 in the text to illustrate and support your points.
How a filter can be characterized with square waves.
The signals generated by the Arduino.
The low-pass filter that was constructed and their cutoff frequencies.
The data that were collected.
BE491 Fall 2016 Lab 4 Solutions
2
How low-pass filters affect input waveforms and how this depends on waveform
frequency.
The analysis used to examine waveforms quantitatively.
The input waveforms in the frequency domain
How the waveform’s FFTs change as a result of low-pass filtering.
Section 2 – Characterizing filters with impulses (20 pts)
Describe how filters can be characterized with impulses. Qualitatively describe the impulse
response of the low pass filter in the time domain and frequency domain, and how it depends on
the capacitor value (and thus, cutoff frequency). Refer to Figure 3 in the text to illustrate and
support your points.
Section 3 (20 pts) – Comparing estimates of the filter frequency response
Describe three methods for characterizing filters in the frequency domain and how they were
achieved. Qualitatively describe how the estimates of the frequency response of the low-pass
filters differ using each method. Refer to Figure 4 in the text to illustrate and support your
points.
Section 4 (10 pts) – Characterizing a high-pass filter
Describe the difference between low-pass and high-pass filters. Describe how square waves
are shaped by high-pass filters in the time domain as well as how they are changed in the
frequency domain. Refer to Figure 5 and 6 in the text to illustrate and support your points.
Discussion (10 pts)
Discuss the advantages of and disadvantages of describing filters in the frequency domain
using different methods. Use 300 words or less