# EE370 hw

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EE370A - Monsoon 2019 Indian Institute of Technology Kanpur Department of Electrical Engineering Practice Problems  –   3 Due: Friday 23 rd  August, 2019 For the problems discussed below, assume that for nMOSFETs  K  n ' = 200  A V -2  and V  Tn  = 1 V, and for pMOSFETs |  K   p '| = 100  A V -2  and | V  Tp |= 1 V. The supply voltage used is V  DD  = 5 V. The minimum size of W   and  L  are W  min =  L min = 0.5  m. The capacitive load seen by the inverters may be taken to be 10 pF. For the circuit in which these inverters are to be placed the period of switching of the clock used is ten times the inverter t   p  and the activity factor is 0.1 (i.e., the  probability of energy consuming transition of the input is 0.1). Use reasonable approximation wherever necessary in your analysis and calculations. 1. For the inverter shown in Fig. 1: (i) Calculate the V  OH , V  OL , V  IH , V  IL  and V  M . Confirm whether you assumption for the region of operation of transistor is valid after you obtain the final result. What design changes will you make to push the parameters you have obtained to their ideal value. (ii) Calculate t   pHL  and t   pLH  and t   p  for this inverter. What will be the design changes you may want to obtain improved performance of the inverter? (iii) Determine the static and dynamic power dissipation for these circuits. What design changes would you suggest to minimize power consumption by the inverter? 2. For the inverter shown in Fig. 2: (i) What will be your choice for V   bais  if you want to achieve maximum V  OH ? Give your reasons for your choice. (ii) Calculate the V  OH , V  OL , V  IH , V  IL  and V  M . Confirm whether you assumption for the region of operation of transistor is valid after you obtain the final result. What design changes will you make to push the parameters you have obtained to their idea value. (iii) Calculate t   pHL  and t   pLH  and t   p  for this inverter. What will be design changes you will make to obtain improved performance of the inverter? (iv) Determine the static and dynamic power dissipation for these circuits. What design changes will be you make to minimize power consumption by the inverter?  EE370A - Monsoon 2019 3. For the inverter shown in Fig. 3: (i) What will be your logical choice for V   bais ? Give your reasons. What will be the size of the p-MOSFET that will be reasonable? (ii) Calculate the V  OH , V  OL , V  IH , V  IL  and V  M . Confirm whether you assumption for the region of operation of transistor is valid after you obtain the final result. What design changes will you make to push the  parameters you have obtained to their idea value. (iii) Calculate t   pHL  and t   pLH  and t   p  for this inverter. What will be design changes you will make to obtain improved performance of the inverter? (iv) Determine the static and dynamic power dissipation for these circuits. What design changes will be you make to minimize power consumption by the inverter? 4. Consider the inverter shown in Fig. 4. (i) What will be the values of W   and  L  you will choose for your transistors to make the PUN and PDN equally strong? (ii) What are the V  OH , V  OL , V  IH , V  IL  and V  M  for thi s inverter’s VTC? [Notice the symmetry in the results.] (iii) Calculate t   pHL  and t   pLH  and t   p  for this inverter. (iv) Determine the static and dynamic power dissipation for these circuits. 5. Run SPICE simulation for the above inverter circuits. You may use any (open source) SPICE simulator. Indicate the technology you are using corresponding to the SPICE parameters for the transistors. (a) Determine the voltage transfer characteristics as well as the key parameters in the VTC quantitatively. (b) Then determine t   pHL  and t   pLH  and t   p  for these invertors (i) no external capacitor attached; (ii) with an external capacitor of 10 pF attached to the output. (c) Determine the static and dynamic power dissipation for these inverters.

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