Consider a uniform quantisation scheme where a 8-bit analogue to digital converter (ADC) is used to represent a signal that has 2 V peak to peak voltage. (a) How many quantisation levels can be obtained? (b) Show that the maximum signal to quantisation noise ratio of the uniform scheme is given by 1.76 + 6.02R for an R-bit ADC (c) Thus find the maximum quantisation error of the 8-bit ADC (d) What is the smallest ADC (in terms of number of bits) required obtain a signal to quantisation noise ratio limit of 40 dB

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Consider a uniform quantisation scheme where a 8-bit analogue to digital converter (ADC)
is used to represent a signal that has 2 V peak to peak voltage.
(a) How many quantisation levels can be obtained?
(b) Show that the maximum signal to quantisation noise ratio of the uniform scheme is
given by 1.76 +6.02R for an R-bit ADC
(c) Thus find the maximum quantisation error of the 8-bit ADC
(d) What is the smallest ADC (in terms of number of bits) required obtain a signal to
quantisation noise ratio limit of 40 dB
Transcribed Image Text:Consider a uniform quantisation scheme where a 8-bit analogue to digital converter (ADC) is used to represent a signal that has 2 V peak to peak voltage. (a) How many quantisation levels can be obtained? (b) Show that the maximum signal to quantisation noise ratio of the uniform scheme is given by 1.76 +6.02R for an R-bit ADC (c) Thus find the maximum quantisation error of the 8-bit ADC (d) What is the smallest ADC (in terms of number of bits) required obtain a signal to quantisation noise ratio limit of 40 dB
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