2. A digital signal processing system with analog audio signal input in the range of 0-20...

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Electrical Engineering

2. A digital signal processing system with analog audio signalinput in the range of 0-20 Khz uses oversampling techniques and asecond order sigma delta modulator to convert the analog signalinto a digital bit stream at a rate of 3.072 Mhz.
i) Explain how the digital bit stream may be converted in to adigital multibit stream for x(n).
ii) Determine the overall improvement in signal to quantizationnoise ratio made possible by oversampling and noise shaping andhence estimate the effective resolution in bits of thedigitizerÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â

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The singlebit stream is convertedto multibit words by decimation down sampling process The outputof the SDM contains very small inband quantization noise but verylarge outofband noise The outofband noise is removed bylowpass digital filtering Because of the high sampling ratedirect use of a digital filter is impractical Instead See Answer

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