The band of interest for a DSP system extends from 0 to 2 KHz. The achievable signal-to-quantisation-noise power ratio (SQNR) of this DSP system is 86 dB using a B-bit ADC. A 3rd order Butterworth anti-aliasing filter is to be designed for the DSP system. (a) Determine the minimum value of B for the ADC, the corresponding minimum sampling frequency, F, and the level of aliasing error relative to the signal level at the passband. Include any assumptions you have made in your calculation.

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(ii)
The band of interest for a DSP system extends from 0 to 2 KHz. The
achievable signal-to-quantisation-noise power ratio (SQNR) of this DSP
system is 86 dB using a B-bit ADC. A 3rd order Butterworth anti-aliasing
filter is to be designed for the DSP system.
(a)
Determine the minimum value of B for the ADC, the corresponding
minimum sampling frequency, F, and the level of aliasing error
relative to the signal level at the passband. Include any
assumptions you have made in your calculation.
Transcribed Image Text:€ (ii) The band of interest for a DSP system extends from 0 to 2 KHz. The achievable signal-to-quantisation-noise power ratio (SQNR) of this DSP system is 86 dB using a B-bit ADC. A 3rd order Butterworth anti-aliasing filter is to be designed for the DSP system. (a) Determine the minimum value of B for the ADC, the corresponding minimum sampling frequency, F, and the level of aliasing error relative to the signal level at the passband. Include any assumptions you have made in your calculation.
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