Q1. (a) Why is the Nyquist sampling frequency for analogue signals not used in practice? Discuss...
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Q1. (a) Why is the Nyquist sampling frequency for analogue signals not used in practice? Discuss the practical implications of oversampling and undersampling of the Nyquist rate. Give typical solutions that are usually employed in practice? [5 marks] (b) Show that the Signal-to-Quantisation Noise Ratio (SQNR) for a uniform quantiser can be written as SQNR = 3V2 C²R2 -22m Where V, is the peak signal amplitude, R is the peak-to-rms ratio of the signal to be quantised, C is the quantiser input signal range, and m is the number of bits required to represent each quantization level. Discuss typical tradeoffs in the choice of m-bit analogue-to-digital converter in practice. Comment on the situation where a uniform quantiser is not the best choice and explain why. [8 marks] Q1. (a) Why is the Nyquist sampling frequency for analogue signals not used in practice? Discuss the practical implications of oversampling and undersampling of the Nyquist rate. Give typical solutions that are usually employed in practice? [5 marks] (b) Show that the Signal-to-Quantisation Noise Ratio (SQNR) for a uniform quantiser can be written as SQNR = 3V2 C²R2 -22m Where V, is the peak signal amplitude, R is the peak-to-rms ratio of the signal to be quantised, C is the quantiser input signal range, and m is the number of bits required to represent each quantization level. Discuss typical tradeoffs in the choice of m-bit analogue-to-digital converter in practice. Comment on the situation where a uniform quantiser is not the best choice and explain why. [8 marks]
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