Consider an anti-aliasing filter design using the Butterworth filter. The anti-aliasing filter feeds a DSP processor that has an Analog to Digital Converter (ADC) that can be configured to 8 bits or 10 bits. The sampling frequency of the ADC can be varied from 8kHz to 48kHz. You are using your Anti-aliasing filter + ADC pair to capture an analog measurement of a periodic signal with a maximum signal bandwidth of 3.4kHz.You decide to use the 8-bit ADC resolution at the lowest sampling frequency of 8kHz ( afterall the lowest sample freq of 8kHz satisfies the Nyquist criteria and you really are all about doing just the right amount of work!). What order must your Butterworth filter be?You relent and decide to use the max sampling rate of 48kHz. How does that decision change the filter order requirement of your Butterworth anti-aliasing filter?You decide that you want better resolution so you increase the ADC resolution from 8bit to 10bits. You also decide to keep the max sampling rate of 48kHz. Now how does that decision change the filter order requirement?need help fast. Thanks

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Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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Consider an anti-aliasing filter design using the Butterworth filter. The anti-aliasing filter feeds a DSP processor that has an Analog to Digital Converter (ADC) that can be configured to 8 bits or 10 bits. The sampling frequency of the ADC can be varied from 8kHz to 48kHz. You are using your Anti-aliasing filter + ADC pair to capture an analog measurement of a periodic signal with a maximum signal bandwidth of 3.4kHz.

You decide to use the 8-bit ADC resolution at the lowest sampling frequency of 8kHz ( afterall the lowest sample freq of 8kHz satisfies the Nyquist criteria and you really are all about doing just the right amount of work!). What order must your Butterworth filter be?
You relent and decide to use the max sampling rate of 48kHz. How does that decision change the filter order requirement of your Butterworth anti-aliasing filter?
You decide that you want better resolution so you increase the ADC resolution from 8bit to 10bits. You also decide to keep the max sampling rate of 48kHz. Now how does that decision change the filter order requirement?

need help fast. Thanks

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