Bi-quad filters Academic Essay

1. Design bi-quad filters to meet the following specifications:

Centre Frequency Gain/Attenuation Q
Filter 1 500 Hz -10 dB 3.5
Filter 2 1000 Hz -10 dB 5
Filter 3 2000 Hz +10 dB 6

1. Simulate the filters independently and in combination with each other using a tool such as MATLAB in order to verify that they perform as specified.
2. Represent the filters you design in the following formats:
• Z-transfer function.
• Z-Plane diagram.
• Signal flow-graph.
• Magnitude response.
• Difference equation.

3. Develop a Flowcode program to implement your EQ digital filter(s) on the dsPIC development boards, and evaluate EQ real-time performance.

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