Consider the following analog signal. This signal is sampled at a sampling frequency of 400 Hz...
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Consider the following analog signal. This signal is sampled at a sampling frequency of 400 Hz and quantized using a 4-bit quantizer with amplitude range from -1.0 to 1.0 volt. Amplitude(volt) 1 0.8 0.6 0.4 0.2 O -0.2 -0.4 -0.6 -0.8 01 2 3 4 5 6 7 8 Time(msec) 9 10 11 12 13 14 a) [3] Circle all the sample points in the graph above. Assume the first sample is at time = 0 second. b) [4] What are the quantization intervals (volt)? Fill the following "digital-to-analog" conversion map. Level 15 14 13 12 11 10 9 8 Quantization intervals (volt) ( ) (1) - Digital word 1111 1110 1101 1100 1011 1010 1001 1000 7 65 4 3 2 1 0 (-1 ) - ( ) c) [6] Assign a digital word to each sample point based on part b). Fill the following table with all the samples. Sample number 1 (first sample) 2 (second sample) 0111 0110 0101 0100 0011 0010 0001 0000 Sample (time, amplitude) (0, 0.45) Digital word d) [2] What is the resulting bit rate from this Analog to Digital converter? Consider the following analog signal. This signal is sampled at a sampling frequency of 400 Hz and quantized using a 4-bit quantizer with amplitude range from -1.0 to 1.0 volt. Amplitude(volt) 1 0.8 0.6 0.4 0.2 O -0.2 -0.4 -0.6 -0.8 01 2 3 4 5 6 7 8 Time(msec) 9 10 11 12 13 14 a) [3] Circle all the sample points in the graph above. Assume the first sample is at time = 0 second. b) [4] What are the quantization intervals (volt)? Fill the following "digital-to-analog" conversion map. Level 15 14 13 12 11 10 9 8 Quantization intervals (volt) ( ) (1) - Digital word 1111 1110 1101 1100 1011 1010 1001 1000 7 65 4 3 2 1 0 (-1 ) - ( ) c) [6] Assign a digital word to each sample point based on part b). Fill the following table with all the samples. Sample number 1 (first sample) 2 (second sample) 0111 0110 0101 0100 0011 0010 0001 0000 Sample (time, amplitude) (0, 0.45) Digital word d) [2] What is the resulting bit rate from this Analog to Digital converter?
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Related Book For
Discrete Time Signal Processing
ISBN: 978-0137549207
2nd Edition
Authors: Alan V. Oppenheim, Rolan W. Schafer
Posted Date:
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