(b) The achievable signal to quantisation noise power ratio (SQNR) of a DSP system is 61.96 dB using a B-bit ADC. A 2nd
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(b) The achievable signal to quantisation noise power ratio (SQNR) of a DSP system is 61.96 dB using a B-bit ADC. A 2nd order Butterworth anti-aliasing filter is to be designed for the DSP system. Determine the minimum value of B. If the corresponding minimum sampling frequency, Fs, is 30.87 KHz, determine the cut-off frequency and the level of aliasing error relative to the signal level at the passband. Include any assumptions you have made in your calculation. [12 marks] Note: A 2nd order Butterworth filter has the following characteristic equation: 7-1/2 F H(F) = 1 + HA=[-(*)")" where n=2 and Fc is the cut-off frequency.
(b) The achievable signal to quantisation noise power ratio (SQNR) of a DSP system is 61.96 dB using a B-bit ADC. A 2nd order Butterworth anti-aliasing filter is to be designed for the DSP system. Determine the minimum value of B. If the corresponding minimum sampling frequency, Fs, is 30.87 KHz, determine the cut-off frequency and the level of aliasing error relative to the signal level at the passband. Include any assumptions you have made in your calculation. [12 marks] Note: A 2nd order Butterworth filter has the following characteristic equation: 7-1/2 F H(F) = 1 + HA=[-(*)")" where n=2 and Fc is the cut-off frequency.