Question

02. a) What is Nyquist's theorem? b) An ECG signal contains c 2. What is the minimum frequency at which the sig alog converter (ADC) has a step size of 0.0075V and a fu timum quantization error for this ADC if the ECG signal ranges signal is samples at 80 samples/second. What frequency will be "alia to 100 Hz, although no contains components with frequencies up ained at frequencies above 40 Hz. the min (1 Mark) C) A certain digital-to-analog converter termine the percent of resolution and the num d) Calculate the quantization 7. mmen t on how to decrease quantization error. e) A 100 Hz (2 Marks) is

Answer 1

a) Nyquist theorem is also know as sampling theorem, defined as " a continuous time signal can be completely represented in it's sample form and recovered back from sampled form, if the sampling frequency is greater or equal to 2 times the maximum frequency of the continuous time signal.

Therefore Nyquist theorem or sampling theorem is used to represent signal in sample form and reconstruct back from it's sample form when sampling frequency is greater than 2W( frequency of signal). When sampling theorem satisfied this condition then no aliasing or distortion takes place.

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