Difference between revisions of "Quantization noise"

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(Category:Signal Processing)
 
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[[image:rms_equation.png]]
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<math>N_Q = { { { ( { {V_{AD_{\,\!}}} \over 2^Q } ) } ^2} \over {6 \cdot T_s \cdot {R_L}^2} }</math>
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<!--[[image:rms_equation.png]]-->
  
  
Q is the resolution or the amount of bits in the converter
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<math>Q~</math> is the resolution or the amount of bits in the converter
  
V_AD is the analog voltage range of converter expressed in (Volts)  
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<math>V_{AD}~</math> is the analog voltage range of converter expressed in (Volts)  
  
T_S  is the sampling interval of the converter expressed in (Seconds)  
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<math>T_s~</math> is the sampling interval of the converter expressed in (Seconds)  
  
R_L^2 is resistance of the converter expressed in (Ohms)
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<math>{R_L}^2</math> is resistance of the converter expressed in (Ohms)
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[[Category:Signal Processing]]

Latest revision as of 21:17, 15 September 2006

During the quantization process some precision gets lost, this changes the signal somewhat, the difference between the original signal and the quantized signal is called quantization noise or the (rounding error). It is commonly expressed by the root-mean-square error equation in engineering.


N_Q = { { { ( { {V_{AD_{\,\!}}} \over 2^Q } ) } ^2} \over {6 \cdot T_s \cdot {R_L}^2} }


Q~ is the resolution or the amount of bits in the converter

V_{AD}~ is the analog voltage range of converter expressed in (Volts)

T_s~ is the sampling interval of the converter expressed in (Seconds)

{R_L}^2 is resistance of the converter expressed in (Ohms)