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Part 1:
Design the filter system to meet the following specifications.• System input: 2 Hz signal data + 60 Hz interference + random noise System sampling rate: 6 kHz Peak amplitude of the 2 Hz and 60 Hz samples: 1 Random noise: Gaussian noise samples • System requirements: (a) eliminate the interference (b) reduce the random noise (c) recover the samples of the signal Figure shows the stages of the system.
Exercises: 1. Display the time waveforms. Make sure the waveforms can be clearly seen and the axes are correctly labeled. 2. Calculate and display the RMS value of the 2 Hz signal and the recovered signal. Part 2:
Determine the spectrum of the following waveforms
(1) System input
(2) System output
Exercises:
Display the spectra. Clearly label the plots and the axes.
Capture the display of the spectra for the frequencies in the range 0 Hz to 10 Hz. (Extra credit) Estimate the average dB level of the noise waveform in this range.
Demonstration:
The working model must be demonstrated to the teaching staff on Tue., 10/29/13 during the class. There will be no credit for the project if this step is overlooked.
Report:
The report must follow the guidelines posted under Supporting Documents on Angel and must include the following:
1. Design method2. Answers to the exercises3. Results and discussion
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