Engineering Simulating this cascoded NMOS logic circuit

[elektro2021]

Homework Statement

Size and simulate the circuit (IMAGE BELOW) so that it achieves a 100 ps delay (50-50) using 0.25 μm devices, while driving a 100 fF load on both differential outputs. (VDD = 2.5V) Assume A, B and their complements are available as inputs.

Relevant Equations

vailable common data for nmos are following Vt=0.43(V),Vdsat=0.63(V),k'=115x10^-6 (A/V^2),lambda=0.06(v^-1)

I need help for following exercise from Rabaey - Digital Integrated Circuits: A Design Perspective

Size and simulate the circuit (IMAGE BELOW) so that it achieves a 100 ps delay (50-50) using 0.25 μm devices, while driving a 100 fF load on both differential outputs. (VDD = 2.5V) Assume A, B and their complements are available as inputs.
Available common data for nmos are following Vt=0.43(V),Vdsat=0.63(V),k'=115x10^-6 (A/V^2),lambda=0.06(v^-1)
Please help me.

 

[Baluncore]

Welcome to PF.
Have you yet identified the two input logic function with a complementary output ?
How will you simulate the gate and delay ?

 

[berkeman]

Welcome to PF.

You need to show some effort before we can provide tutorial help. Please show us how you will approach this question.

Also, I'm a little confused by this symbol in the middle of your NMOS logic circuit -- what is it meant to represent? Is it some IP that is defined elsewhere in the problem statement?

 

[Baluncore]

Also, I'm a little confused by this symbol in the middle of your NMOS logic circuit

It is a memory element made from two soft output inverters.
It retains the last valid state of the gate, so prevents floating inputs consuming current.

 

[berkeman]

Ah, it's a "keeper" circuit. Got it, thanks @Baluncore

 

[elektro2021]

Welcome to PF.
Have you yet identified the two input logic function with a complementary output ?
How will you simulate the gate and delay ?

I think it's a XOR port for Y and XNOR for Y negate.I don't want to simulate the circuit by a simulator but I want to size (by hand) W/L for NMOS transistors to get a 100 ps delay (50-50) using 0.25 μm devices, while driving a 100 fF load on both differential outputs.

 

[berkeman]

I don't want to simulate the circuit by a simulator but I want to size (by hand) W/L for NMOS transistors to get a 100 ps delay (50-50) using 0.25 μm devices, while driving a 100 fF load on both differential outputs.

Okay, can you show us how you are going to approach that?

 

[Baluncore]

I want to size (by hand)

Have you attempted to do that yet?

 

[elektro2021]

I think that I need to compute current charge/discharge for 100 fF capacitor...what do you think?

 

[elektro2021]

Any help?

 

[berkeman]

Any help?

You go first...

 

[elektro2021]

I think that Ic=C*(dv/dt) con C=100 fF and dv/dt= (VDD/2)/T con T=100ps and VDD=2.5V...what do you think?

 

[berkeman]

So after you determine the voltages and currents involved, how will you choose the aspect ratio for your geometry?

I want to size (by hand) W/L for NMOS transistors to get a 100 ps delay (50-50) using 0.25 μm devices

 

[elektro2021]

I don't know...I think that NMOS current depends by W/L...please help me

 

[berkeman]

We *are* trying to help. What do your class notes say about aspect ratio effects on voltages and currents?