A/D and D/A converters are commonly used components in digital control systems. The tasks for the...

 

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A/D and D/A converters are commonly used components in digital control systems. The tasks for the exercise are specified below. a) With reference to Figure Q3, a sampled data sequence has been obtained in Table Q3.1. Calculate the output sequences from Quantizer and Coder. [8 marks] X(n) Xdn) Sampler Quantizer & Coder Analogue Discrete Digital signal time signal Figure Q3 Sample time n 1 3 4 2.3 4.4 4.9 2.8 Quantizer Coder Table Q3.1 b) Digital controller has generated a predicted output sequence as shown in Table Q3.2. A Zero Order Hold D/A converter is used, sketch the corresponding continuous time sequence. [4 marks] Sample time n 1 3 4 Xdt) 7 2 1 Table Q3.2 sta c) Discuss how to select a sampling period for a transfer function G(s) [6 (s+P)(s+P2) marks] d) There are two formulations A= X max -A min and bz log, m for selecting accuracy of A/D т-1 converters. Discuss the roles of the variables. [7 marks] A/D and D/A converters are commonly used components in digital control systems. The tasks for the exercise are specified below. a) With reference to Figure Q3, a sampled data sequence has been obtained in Table Q3.1. Calculate the output sequences from Quantizer and Coder. [8 marks] X(n) Xdn) Sampler Quantizer & Coder Analogue Discrete Digital signal time signal Figure Q3 Sample time n 1 3 4 2.3 4.4 4.9 2.8 Quantizer Coder Table Q3.1 b) Digital controller has generated a predicted output sequence as shown in Table Q3.2. A Zero Order Hold D/A converter is used, sketch the corresponding continuous time sequence. [4 marks] Sample time n 1 3 4 Xdt) 7 2 1 Table Q3.2 sta c) Discuss how to select a sampling period for a transfer function G(s) [6 (s+P)(s+P2) marks] d) There are two formulations A= X max -A min and bz log, m for selecting accuracy of A/D т-1 converters. Discuss the roles of the variables. [7 marks]