May 25, 2009 #1 S sunli567 Junior Member level 1 Joined Jan 4, 2009 Messages 17 Helped 1 Reputation 2 Reaction score 0 Trophy points 1,281 Activity points 1,402 step size number of bits Hi everyone, I am preparing for analog CMOS design exam and meet a question about comparator. Could you tell me the relationship between the number bits resolution and step size? The formula is best. Thanks!
step size number of bits Hi everyone, I am preparing for analog CMOS design exam and meet a question about comparator. Could you tell me the relationship between the number bits resolution and step size? The formula is best. Thanks!
May 25, 2009 #2 S sau_sol Full Member level 5 Joined Feb 27, 2008 Messages 257 Helped 41 Reputation 82 Reaction score 11 Trophy points 1,298 Location India Activity points 2,509 The theory is simple the more the number of bit the more precision you will get and the less the step size the more precision hence they are inversely proportional number of bits implies in how many bits the analog signal will consist of and the step size will be used for quantization like an 4 bit will resemble 2^4 and a step size 1 means it will have a total of 16 values step size 2 means it will have a total of 8 values like an 8 bit will resemble 2^8 and a step size 1 means it will have a total of 256 values step size 2 means it will have a total of 64 values
The theory is simple the more the number of bit the more precision you will get and the less the step size the more precision hence they are inversely proportional number of bits implies in how many bits the analog signal will consist of and the step size will be used for quantization like an 4 bit will resemble 2^4 and a step size 1 means it will have a total of 16 values step size 2 means it will have a total of 8 values like an 8 bit will resemble 2^8 and a step size 1 means it will have a total of 256 values step size 2 means it will have a total of 64 values
May 25, 2009 #3 S sunli567 Junior Member level 1 Joined Jan 4, 2009 Messages 17 Helped 1 Reputation 2 Reaction score 0 Trophy points 1,281 Activity points 1,402 Thanks very much for your reply. I still have below questions. When i work out the number of steps, how can i know the number of bits needed? For D/A linearity, it gives a point that 3 bit D/A need to set its levels to an accuracy of 1/65000. Why? In my opinion, it should be 1/8.
Thanks very much for your reply. I still have below questions. When i work out the number of steps, how can i know the number of bits needed? For D/A linearity, it gives a point that 3 bit D/A need to set its levels to an accuracy of 1/65000. Why? In my opinion, it should be 1/8.