Hi, I trying to calculate the Quantization Noise Current Spectral Density with regard to the ADC input of my system. My system includes a C6711 DSK and an AIC23EVM Codec. I think I'm right in saying that the formula for Quantization Noise Current Spectral Density is given by - ((V/2^Q)^2)/6TR^2 where V is the voltage range at the ADC, Q is the number of bits - quatization, T is the sampling time, and R is the load resistance. Does this sound correct? My ADC operates with a full-scale range of 1.0VRMS, 16 bit, 96kHz. Therefor am I right in saying that my Quantization Noise Current Spectral Density is - (((2^3/2)/2^16)^2)/(6*1/96000*(R^2)) Should the Quantization Noise Current Spectral Density increase with Sampling frequency?? Anyway, I'm implementing demodulation algorithms on the Codec input signal, and outputting the result to the Codec DAC. I'd like to come up with some way of representing the quantization noise that my system will incur with respect an "identical" analogue system. How should I go about doing this? Thanks.
Quantization Noise Current Spectral Density
Started by ●August 10, 2003
Reply by ●August 12, 20032003-08-12
Your quantization noise will be at the ADCs and DACs, the quantization noise will be negligible on the 32bit floating point processor. The AIC23 is 16 bit for each channel if I remember correctly. bg_ie@yahoo.com (Barry) wrote in message news:<731cea69.0308100958.5138bffa@posting.google.com>...> Hi, > > I trying to calculate the Quantization Noise Current Spectral Density > with regard to the ADC input of my system. My system includes a C6711 > DSK and an AIC23EVM Codec. > > I think I'm right in saying that the formula for Quantization Noise > Current Spectral Density is given by - > > ((V/2^Q)^2)/6TR^2 > > where V is the voltage range at the ADC, Q is the number of bits - > quatization, T is the sampling time, and R is the load resistance. > Does this sound correct? > > My ADC operates with a full-scale range of 1.0VRMS, 16 bit, 96kHz. > Therefor am I right in saying that my Quantization Noise Current > Spectral Density is - > > (((2^3/2)/2^16)^2)/(6*1/96000*(R^2)) > > Should the Quantization Noise Current Spectral Density increase with > Sampling frequency?? > > Anyway, I'm implementing demodulation algorithms on the Codec input > signal, and outputting the result to the Codec DAC. I'd like to come > up with some way of representing the quantization noise that my system > will incur with respect an "identical" analogue system. How should I > go about doing this? > > Thanks.
Reply by ●August 14, 20032003-08-14
Barry wrote:> Hi, > > I trying to calculate the Quantization Noise Current Spectral Density > with regard to the ADC input of my system. My system includes a C6711 > DSK and an AIC23EVM Codec. > > I think I'm right in saying that the formula for Quantization Noise > Current Spectral Density is given by - > > ((V/2^Q)^2)/6TR^2 > > where V is the voltage range at the ADC, Q is the number of bits - > quatization, T is the sampling time, and R is the load resistance. > Does this sound correct? > > My ADC operates with a full-scale range of 1.0VRMS, 16 bit, 96kHz. > Therefor am I right in saying that my Quantization Noise Current > Spectral Density is - > > (((2^3/2)/2^16)^2)/(6*1/96000*(R^2)) > > Should the Quantization Noise Current Spectral Density increase with > Sampling frequency?? > > Anyway, I'm implementing demodulation algorithms on the Codec input > signal, and outputting the result to the Codec DAC. I'd like to come > up with some way of representing the quantization noise that my system > will incur with respect an "identical" analogue system. How should I > go about doing this? > > Thanks.The r.m.s quantisation noise is given for rounding as sigma = delta/sqrt(12) where delta = dynamic range/ no of quantisation levels no of quantisation levels = 2^B where B = no of bits. Tom