Hi professor thanks for the webinar. I am currently working on a cmos freq doubler and running cadence's HB. Your lecture helped me a lot to understand the underlying principle. Your book is also excellent, easy to follow and enriched with insightful explanation. Thanks
Hi, at 23:20, how did you solve for I_0, I_1, and I_2 for the nonlinear subcircuit? Could you give an example calculation for I_0? I used trigonometric substitution to evaluate the [v(t)]^2 term, and I get a 4th harmonic from that and you drop that term as you say in your next slide, but I think that's the only part that we could agree on.
I'm looking at p. 923 in the second edition of the book and I am also struggling to follow along. The only explanation in the book is "The linear subcircuit and the nonlinear subcircuit described by the quadratic model result in the following equations." I calculate by substituting v(t) into i(t) = v(t) + [v(t)]^2, expanding the expression and grouping phasors in terms of DC, cos(wt), cos(2wt), etc. as explained: I0 = V0 + V0^2 + 1/2*V1^2 + 1/2*V2^2 I1 = V1 + 2*V0*V1 + V1*V2 I2 = V2 * 2*V0*V2 + 1/2*V2^2 I3 = V1*V2 (neglected) I4 = 1/2*V2^2 (neglected) However the book (19.5) and this video (23:30) give: I0 = V0^2 + 1/2*V1^2 I1 = 2*V0*V1 + V1*V2 I2 = 1/2*V2^2 These terms appear in what I calculated but there must be some justification for discarding the remaining portion. The system of differential equations at (32:10) is satisfied by the equations I found so I believe that the remaining portion is necessary. Further inspection shows the equations with all terms present in (19.14). I'm not sure if there is a subtlety I am missing or if the equations in (19.5) are just incomplete.
Hello everyone, I also solved with trigonometric substitution and there is a lot of variables that are not assigned for some reason that i did not find out. Could you please tell me what I'm missing? My trigonometric resolution is on the link below: drive.google.com/file/d/1w8xdCCbi8cejjh0CrIIg4XYrGI5DpPv6/view?usp=sharing
@Michal Steer , what is wrong if I directly solve for V0, V1 and V2 on slide 2 (Around 25) and got solutions i.e. V0 = -00390V, V1 = -0.125 V and v2 = 0.5 v.
Hi professor thanks for the webinar. I am currently working on a cmos freq doubler and running cadence's HB. Your lecture helped me a lot to understand the underlying principle. Your book is also excellent, easy to follow and enriched with insightful explanation. Thanks
Hi, at 23:20, how did you solve for I_0, I_1, and I_2 for the nonlinear subcircuit? Could you give an example calculation for I_0? I used trigonometric substitution to evaluate the [v(t)]^2 term, and I get a 4th harmonic from that and you drop that term as you say in your next slide, but I think that's the only part that we could agree on.
I used MATLAB. If you want to follow this along you need to look at the section referred to in the book. Lot's more explanation there.
I'm looking at p. 923 in the second edition of the book and I am also struggling to follow along. The only explanation in the book is "The linear subcircuit and the nonlinear subcircuit described by the quadratic model result in the following equations."
I calculate by substituting v(t) into i(t) = v(t) + [v(t)]^2, expanding the expression and grouping phasors in terms of DC, cos(wt), cos(2wt), etc. as explained:
I0 = V0 + V0^2 + 1/2*V1^2 + 1/2*V2^2
I1 = V1 + 2*V0*V1 + V1*V2
I2 = V2 * 2*V0*V2 + 1/2*V2^2
I3 = V1*V2 (neglected)
I4 = 1/2*V2^2 (neglected)
However the book (19.5) and this video (23:30) give:
I0 = V0^2 + 1/2*V1^2
I1 = 2*V0*V1 + V1*V2
I2 = 1/2*V2^2
These terms appear in what I calculated but there must be some justification for discarding the remaining portion. The system of differential equations at (32:10) is satisfied by the equations I found so I believe that the remaining portion is necessary.
Further inspection shows the equations with all terms present in (19.14).
I'm not sure if there is a subtlety I am missing or if the equations in (19.5) are just incomplete.
Hello everyone,
I also solved with trigonometric substitution and there is a lot of variables that are not assigned for some reason that i did not find out.
Could you please tell me what I'm missing?
My trigonometric resolution is on the link below:
drive.google.com/file/d/1w8xdCCbi8cejjh0CrIIg4XYrGI5DpPv6/view?usp=sharing
Hi Colin Hart,
Did you find anything ?
My work was still on my whiteboard, so here's a photo: imgur.com/csF6ZCs
@Michal Steer , what is wrong if I directly solve for V0, V1 and V2 on slide 2 (Around 25) and got solutions i.e. V0 = -00390V, V1 = -0.125 V and v2 = 0.5 v.
great webinar! your textbook has really taught me a lot even after using it during grad school.
what do you do? Analog?
Great explanation, thank you so much Sir. Can i have the matlab code with which you did the calculations?
This is a great video explanation!