The output of a sensor is connected to the input of an ideal anti-aliasing filter. (The order of an ideal anti-aliasing filter is infinite; n equals infinity). The output of the anti-aliasing filter is connected to the input of an analog-to-digital converter (ADC). The highest frequency in the analog output signal from the sensor is fHIGH. This signal is applied to the input of the anti-aliasing filter. A noise signal is also present at the input to the anti-aliasing filter. The highest frequency in the noise signal is fNOISE where fNOISE is greater than fHIGH. The ADC has L quantization levels. The sampling rate of the ADC is 1.3 times the minimum required sampling rate. The corner or cutoff frequency of the anti-aliasing filter is fC. a. How would you determine fC? Please be specific. b. How would you determine fC if the anti-aliasing filter were non-ideal (finite order n)? Please be specific and please discuss. c. What information is not given which is required to determine the resolution (or quantization) error? d. Determine an expression for the number of bits generated by the ADC in T seconds. (Assume an ideal anti-aliasing filter)
The output of a sensor is connected to the input of an ideal anti-aliasing filter. (The order of an ideal anti-aliasing filter is infinite; n equals infinity). The output of the anti-aliasing filter is connected to the input of an analog-to-digital converter (ADC). The highest frequency in the analog output signal from the sensor is fHIGH. This signal is applied to the input of the anti-aliasing filter. A noise signal is also present at the input to the anti-aliasing filter. The highest frequency in the noise signal is fNOISE where fNOISE is greater than fHIGH. The ADC has L quantization levels. The sampling rate of the ADC is 1.3 times the minimum required sampling rate. The corner or cutoff frequency of the anti-aliasing filter is fC.
a. How would you determine fC? Please be specific.
b. How would you determine fC if the anti-aliasing filter were non-ideal (finite order n)? Please be specific and please discuss.
c. What information is not given which is required to determine the resolution (or quantization) error?
d. Determine an expression for the number of bits generated by the ADC in T seconds. (Assume an ideal anti-aliasing filter)
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