A DSP system contains an anti-aliasing second-order Butterworth low-pass filter (LPF) with a cutoff frequency of 3.4KHZ, followed by a sample and hold circuit with a sampling frequency of 8KHZ, then terminated by an analog-to-digital converter (ADC) as a coding stage. Let the analog frequency at its input is 2KHZ. 1) Calculate percentage level of aliasing %. 2) Modify the order of the given anti-aliasing Butterworth LPF to reduce the aliasing level percentage to less than 12%.

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A DSP system contains an anti-aliasing second-order Butterworth low-pass filter (LPF) with a
cutoff frequency of 3.4KHZ, followed by a sample and hold cireuit with a sampling frequency
of 8KHZ, then terminated by an analog-to-digital converter (ADC) as a coding stage. Let the
analog frequency at its input is 2KHZ.
1) Calculate percentage level of aliasing %.
2) Modify the order of the given anti-aliasing Butterworth LPF to reduce the aliasing level
percentage to less than 12%.
Transcribed Image Text:A DSP system contains an anti-aliasing second-order Butterworth low-pass filter (LPF) with a cutoff frequency of 3.4KHZ, followed by a sample and hold cireuit with a sampling frequency of 8KHZ, then terminated by an analog-to-digital converter (ADC) as a coding stage. Let the analog frequency at its input is 2KHZ. 1) Calculate percentage level of aliasing %. 2) Modify the order of the given anti-aliasing Butterworth LPF to reduce the aliasing level percentage to less than 12%.
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