1. A signal w(r) that has values so that 45 w{t)<4is a 5 bit PCM encoded using a unif orm quantizer which has the characteristics shown below. The coding of the quantized levels to bits are also shown in the diagram. Lowest level goes to "00000" and highest level goes to "11111" in succession. a. Find the maximum value of the quantization error signal in Volts. b. Find the average quantization SNR of the signal. c. For two sample values of -0.6 Volt and +0.4 Volt, find the corresponding quantized values w, and binary PCM signals. d. Choose and give 2 input values bebveen -0.5 Volt and +0.5 Volt for which quantization error is zero.
Quantization and Resolution
Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.
Probability of Error
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A signal w(t) that has values so that w(t) range is between -4 and 4 and it is a 5 bit PCM encoded using a uniform quantizer which has the characteristics shown below. The coding of the quantized levels to bits are also shown in the diagram. Lowest level goes to "00000" and highest level goes to "11111" in succession.
- Find the maximum value of the quantization error signal in Volts.
- Find the average quantization SNR of the signal.
- For two sample values of -0.6 Volt and +0.4 Volt, find the corresponding quantized values w, and binary PCM signals.
- Choose and give 2 input values between -0.5 Volt and +0.5 Volt for which quantization error is zero.
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