Find the dynamic range in dB of a quantizer using: a. 4 bits b. 8 bits...

   

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Find the dynamic range in dB of a quantizer using: a. 4 bits b. 8 bits c. 16 bits 2.23 The dynamic range of an A/D converter is 60.2 dB. How many data bits does it produce? 2.24 An analog signal ranging between 0 and 1 V must be quantized. The midrange quan- tization errors must be no greater than 0.1 V. How many quantization bits must be used to satisfy this requirement? 2.25 Compute the bit rate for an 8 kHz, 16-bit sampler. 2.26 The maximum midrange quantization error allowed is 1% of the full scale range of an analog signal. If the sampling frequency of an A/D converter is 16 kHz, what is the converter's minimum bit rate? 2.27 A 3-bit D/A converter produces a 0 V output for the digital code 000 and a 5 V out- put for the code 111, with other codes distributed evenly between 0 and 5 V. Draw the zero order hold output from the converter for an input: 111 101 011 101 000 001 011 010 100 110. 2.28 What effect does an anti-imaging filter have on a zero order hold signal? TABLE 2.5 Analog Samples for Question 2.21 n 0 1 6 4 2 7 3 5 8 9 Analog Sample (V) 0.5715 4.9575 0.625 3.6125 4.0500 0.9555 2.7825 1.5625 2.7500 2.8755 TABLE 2.6 Quantization Table for Question 2.21 Digital Code 000 001 010 011 100 101 110 111 Quantized Level (V) 0.000 0.625 1.250 1.875 2.500 3.125 3.750 4.375 Range of Analog Inputs Mapping to This Digital Code (V) 0≤x≤0.3125 0.3125x<0.9375 0.9375x< 1.5625 1.5625x<2.1875 2.1875x<2.8125 2.8125 x<3.4375 3.4375x4.0625 4.0625x< 5.0 Find the dynamic range in dB of a quantizer using: a. 4 bits b. 8 bits c. 16 bits 2.23 The dynamic range of an A/D converter is 60.2 dB. How many data bits does it produce? 2.24 An analog signal ranging between 0 and 1 V must be quantized. The midrange quan- tization errors must be no greater than 0.1 V. How many quantization bits must be used to satisfy this requirement? 2.25 Compute the bit rate for an 8 kHz, 16-bit sampler. 2.26 The maximum midrange quantization error allowed is 1% of the full scale range of an analog signal. If the sampling frequency of an A/D converter is 16 kHz, what is the converter's minimum bit rate? 2.27 A 3-bit D/A converter produces a 0 V output for the digital code 000 and a 5 V out- put for the code 111, with other codes distributed evenly between 0 and 5 V. Draw the zero order hold output from the converter for an input: 111 101 011 101 000 001 011 010 100 110. 2.28 What effect does an anti-imaging filter have on a zero order hold signal? TABLE 2.5 Analog Samples for Question 2.21 n 0 1 6 4 2 7 3 5 8 9 Analog Sample (V) 0.5715 4.9575 0.625 3.6125 4.0500 0.9555 2.7825 1.5625 2.7500 2.8755 TABLE 2.6 Quantization Table for Question 2.21 Digital Code 000 001 010 011 100 101 110 111 Quantized Level (V) 0.000 0.625 1.250 1.875 2.500 3.125 3.750 4.375 Range of Analog Inputs Mapping to This Digital Code (V) 0≤x≤0.3125 0.3125x<0.9375 0.9375x< 1.5625 1.5625x<2.1875 2.1875x<2.8125 2.8125 x<3.4375 3.4375x4.0625 4.0625x< 5.0