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Author Archives: Dai
The Calculation of Phase Margin
Negative feedback is ubiquitous, and the discussion on its stability can be found everywhere. For ease of reference, I will put a memo on the equations to calculate the phase margin. The amplifying system may includes multiple poles: . Neglecting higher … Continue reading
Gm/IdDesign Methodology
Three times of entering a wrong password to access this site… Earlier in 2012, I wrote an introductory post about EKV model and later extended the related topic a little bit in another post – Stay Simple – SquareLaw Equation … Continue reading
Brief Study of NoiseShaping SAR ADC – Part C
The topic of noiseshaping SAR ADC will come to an end in this post. In Part A, I briefly talked about the concept of noise shaping applied to sigmadelta modulators. In Part B, I introduced one special property of SAR … Continue reading
Brief Study of NoiseShaping SAR ADC – Part B
In the previous post, I’ve shared some basics of sigmadelta ADC. In this post, before we look at the noiseshaping SAR ADC, let’s again do a warmup. The zdomain linear model for a 1storder sigmadelta modulator: The linear model has … Continue reading
Brief Study of NoiseShaping SAR ADC – Part A
Sometimes it is much easier to become a fan of something when you only know something about it. Just like SigmaDelta ADC, it is so complicated that even though I have learned it for several times I still can’t fully understand it! Nevertheless, I am … Continue reading
Noise Effect On The Distribution of ADC Output Codes
In the previous post, the probability of comparator decision with the existence of noise was calculated. In this post, the topic about noise and probability will continue. The whole topic is actually inspired by a 1986paper [1], which discusses noise effect … Continue reading
Noise Effect On The Probability of Comparator Decision
In the previous post, it is explained why normal distribution with a standard deviation of is used to characterize the circuit inputreferred noise. In this post, we will calculate the probability of comparator decision (High or Low) with the existence of noise. We … Continue reading
Posted in Analog Design
Tagged Normal Distribution, Probability of Comparator Decision, Thermal Noise
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Normal Distribution and InputReferred Noise
Normal distribution is frequently assumed when we do circuit analysis. Why? Because there is a saying that the sum of a large number of random variables converges to the Normal. Under what condition is this true? The central limit theorem deals with … Continue reading
Stay Simple – SquareLaw Equation Related
The 1st post in 2013. Happy middle new year! 😉 Nowadays most of us in academy are designing analog circuits in deepsubmicron nodes using shortchannel transistors. Putting them together with the digital, building up a system, and selling it with extraordinary performance in top … Continue reading
Brief Study of Dither C: Dithered DNL
In ‘Dither’ series B, I have shown dither reduces the harmonic distortion by decolalizing the code mapping of the analog signal from the transfer curve. So if we take a step further, we might say the main purpose of dither is … Continue reading