Quantization noise: Difference between revisions

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)

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-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 (rounding error). It is commonly expressed by the root-mean-square error equation.
+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.
-<math> N_Q = \frac{ \left ( \frac{V_{AD}}{2^Q} \right )^2 }{6 \cdot T_S \cdot R_L^2} </math>
-<math> V_{AD} </math> is the analogue voltage range of the converter expressed in (Volts),
+<math>N_Q = { { { ( { {V_{AD_{\,\!}}} \over 2^Q } ) } ^2} \over {6 \cdot T_s \cdot {R_L}^2} }</math>
-<math> Q </math> is the number of bits in the converter or the resolution.
+<!--[[image:rms_equation.png]]-->
-<math> T_S </math> is the sampling interval of the converter expressed in (seconds).
-<math> R_L^2 </math> is the load resistance of the converter expressed in (Ohms).
+<math>Q~</math> is the resolution or the amount of bits in the converter
+<math>V_{AD}~</math> is the analog voltage range of converter expressed in (Volts)
+<math>T_s~</math> is the sampling interval of the converter expressed in (Seconds)
+<math>{R_L}^2</math> is resistance of the converter expressed in (Ohms)
+[[Category:Signal Processing]]