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Explain what is meant by quantization noise and comment on Adaptive delta modulation.

Subject : Principle of Communication Engineering

Topic : PCM and Multiplexing

Difficulty : High

1 Answer
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  • Quantization is a process of approximating or rounding off. The sampled signal in PCM transmitted is applied to the quantizer block
  • Quantizer converts the sampled signal into an approximate quantized signal which consists of only finite number of predicted voltage levels
  • Each sampled value at the input of the quantizer is approximated or rounded off to the nearest standard predicted voltage level. These standard levels are called as quantization levels
  • The quantized signal xq (t) is the approximation of x(t). The difference between them is called as quantization error or as quantization noise. This error should be small as possible
  • To minimize the quantization error, we need to reduce the step size ‘s’ by increasing the number of quantization levels Q.
  • If we do not use the quantizer block in the PCM transmitter, then we will have to convert each and every sampled value into a unique digital word.
  • This will need a large number of bits per word (N). This will increase the bit rate and hence the bandwidth requirement of the channel.
  • The difference between the instantaneous values of the quantized signals and the input signal is called as quantization error or as quantization noise.
  • The mean square value of the quantization error= s^2/12

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Adaptive Delta Modulation

  • To overcome the quantization errors due to slope overload and granular noise, the step size (δ) is made adaptive to variations in the input signal x(t).
  • Particularly in the steep segment of the signal (t) , the step size is increased .When the input is varying slowly , the step size is reduced .Then the method is called Adaptive Delta odulation(ADM).
  • The adaptive delta modulators can take continuous changes in step size or discrete changes in step size.

Advantages of ADM

  • Reduction in slope overload distortion and granular noise

  • Improvement in signal to noise ratio+

  • Wide dynamic range due to variable step size

  • Better utilization bandwidth as compared to delta modulation

  • Low signalling rate

  • Simplicity of implantations

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