Reference no: EM13858033

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 method
2. Answers to the exercises
3. Results and discussion