Introduction:
The following tasks constitute a comprehensive project statement. They are intended to test your ability to work with signals in the time and frequency domains. They also require basic MATLAB/Simulink skills that are important to master for any electrical engineering student. Signal processing skills and understanding as well as image processing techniques are emphasized in this project.
Task A (MATLAB): Provide solutions steps and MATLAB codes.
Consider that you have a continuous-time audio signal with amplitude and frequency pairs (A, f) as follows:
(A, f (Hz)) (1, 500) (1, 600) (1.5, 750) (1.5, 850)
This audio signal is the input to a microphone. The microphone scales the magnitude of the input by a factor of two and adds noise to the audio signal. The components of noise have amplitude-frequency pairs as follows:
(A, f (Hz)) (1, 200) (1, 300) (1, 350)Introduction:
The following tasks constitute a comprehensive project statement. They are intended to test your
ability to work with signals in the time and frequency domains. They also require basic
MATLAB/Simulink skills that are important to master for any electrical engineering student.
Signal processing skills and understanding as well as image processing techniques are emphasized
in this project.
Task A (MATLAB): Provide solutions steps and MATLAB codes.
Consider that you have a continuous-time audio signal with amplitude and frequency pairs (A, f )
as follows:
This audio signal is the input to a microphone. The microphone scales the magnitude of the input
by a factor of two and adds noise to the audio signal. The components of noise have amplitude-
frequency pairs as follows:
Consider the microphone as a system with input and output waveforms:
What is the fundamental period of the input audio signal?
Plot the original input and noisy output waveforms on the same window using the
subplot command.
If you were to sample the noisy output of the microphone, what is the sampling
rate that you recommend? Justify your recommendation.
Introduction:
The following tasks constitute a comprehensive project statement. They are intended to test your
ability to work with signals in the time and frequency domains. They also require basic
MATLAB/Simulink skills that are important to master for any electrical engineering student.
Signal processing skills and understanding as well as image processing techniques are emphasized
in this project.
Task A (Handwritten/MATLAB): Provide solutions steps and MATLAB codes.
Consider that you have a continuous-time audio signal with amplitude and frequency pairs (A, f )
as follows:
This audio signal is the input to a microphone. The microphone scales the magnitude of the input
by a factor of two and adds noise to the audio signal. The components of noise have amplitude-
freq â‚« ncy pairs as follows:
A. 1
Consider the microphone as a system with input and output waveforms:
What is the fundamental period of the input audio signal?
Plot the original input and noisy output waveforms on the same window using the subplot
command.
If you were to sample the noisy output of the microphone, what is the sampling rate that
you recommend? Justify your recommendation.
Test for different sampling rates, and provide a graphical comparison between the
sampled signals.
A. 2
Is the microphone considered to be an LTI system? Justify your answer.
A. 3
Design a filter circuit to reject the added noise.
What is the transfer function corresponding to this filter? What are its zeros and poles, if
any?Test for different sampling rates, and provide a graphical comparison between the
sampled signals.
Is the microphone considered to be an LTI system? Justify your answer.
Design a filter circuit to reject the added noise.
What is the transfer function corresponding to this filter? What are its zeros and poles, if
any?
Introduction:
The following tasks constitute a comprehensive project statement. They are intended to test your ability to work with signals in the time and frequency domains. They also require basic MATLAB/Simulink skills that are important to master for any electrical engineering student. Signal processing skills and understanding as well as image processing techniques are emphasized in this project.
Task A (Handwritten/MATLAB): Provide solutions steps and MATLAB codes.
Consider that you have a continuous-time audio signal with amplitude and frequency pairs (A, f) as follows: (A,f(Hz)) (1, 500) (1, 600) (1.5, 750) (1.5, 850)
This audio signal is the input to a microphone. The microphone scales the magnitude of the input by a factor of two and adds noise to the audio signal. The components of noise have amplitude- freq ncy pairs as follows: A,fHz) (1, 200) (1, 300) (1, 350)
A.1 Consider the microphone as a system with input and output waveforms: 1. What is the fundamental period of the input audio signal? 2. Plot the original input and noisy output waveforms on the same window using the subplot command. 3. If you were to sample the noisy output of the microphone, what is the sampling rate that you recommend? Justify your recommendation. 4. Test for different sampling rates, and provide a graphical comparison between the sampled signals.
A.2 Is the microphone considered to be an LTI system? Justify your answer
A.3| 1. Design a filter circuit to reject the added noise 2. What is the transfer function corresponding to this filter? What are its zeros and poles, if any?
