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Introduction to memristors
The 4 fundamental circuit variables
In classical circuit theory there are 4 fundamental
quantities :
1. The current(i)
2. The voltage(v)
3. The charge(q)
4. The flux linkage(Ø)
By combing these quantities in pairwise relations we can
define the fundamental circuit elements.
 6 possible relations
 5 are well known
The first 2 pairs define the voltage and current :
 Voltage : Rate of change of flux
 Current : Rate change of charge
The other 3 pairs define the fundamental circuit
elements :
 Resistor(R)
 Capacitor(C)
 Inductor(L)
The 3 fundamental passive circuit elements
 Passive : No internal power source is necessary
 Fundamental : Cannot be mimicked by other fundamental elements
I-V characteristics of basic elements
I
V
Memristor: The 4th fundamental circuit element
 In 1971 Prof. Chua, based on the simple
symmetry arguments he proposed the
memristor to complete the missing link
Rediscover of the memristor from HP
 HP revived the field of memristors in 2008
 Introduced the HP memristor model.
What is a Memristor?
 Memristor = Memory + Resistor
 Behaves similarly to a non-linear resistor :
 i.e, opposes the flow of charge like resistor does
 resistance of memristor is called Memristance
 has the same units : Ohm
 But it has non-volatile memory :
 its resistance value changes permanently depending on how much charge
has flown through, as long as an input is applied.
 non-volatile : when input is removed the device maintains its resistance
indefinitely
Linear Resistors vs Memristors
Resistor : Memristor :
 Described by Ohm’s Law :
V = R i(t)
 R is constant
 e.g. doubling the input current
will double the output voltage
 Described by Ohm’s Law :
V = M(q)
i(t)
 M(q) is function of charge or flux
 Memristors follow same rules as resistors when combined in networks:
Characteristics of a Memristor :
 Response to a sinusoidal excitation
 Limited to I and III quadrant
 Memristance is always bound between a
min(RON) and Max(ROFF)
 Zero-crossing
 At high frequencies it acts as a linear resistor
Basics of Memristors and fundamentals.pptx

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Basics of Memristors and fundamentals.pptx

  • 2. The 4 fundamental circuit variables In classical circuit theory there are 4 fundamental quantities : 1. The current(i) 2. The voltage(v) 3. The charge(q) 4. The flux linkage(Ø) By combing these quantities in pairwise relations we can define the fundamental circuit elements.  6 possible relations  5 are well known
  • 3. The first 2 pairs define the voltage and current :  Voltage : Rate of change of flux  Current : Rate change of charge The other 3 pairs define the fundamental circuit elements :  Resistor(R)  Capacitor(C)  Inductor(L)
  • 4. The 3 fundamental passive circuit elements  Passive : No internal power source is necessary  Fundamental : Cannot be mimicked by other fundamental elements
  • 5. I-V characteristics of basic elements I V
  • 6. Memristor: The 4th fundamental circuit element  In 1971 Prof. Chua, based on the simple symmetry arguments he proposed the memristor to complete the missing link
  • 7. Rediscover of the memristor from HP  HP revived the field of memristors in 2008  Introduced the HP memristor model.
  • 8. What is a Memristor?  Memristor = Memory + Resistor  Behaves similarly to a non-linear resistor :  i.e, opposes the flow of charge like resistor does  resistance of memristor is called Memristance  has the same units : Ohm  But it has non-volatile memory :  its resistance value changes permanently depending on how much charge has flown through, as long as an input is applied.  non-volatile : when input is removed the device maintains its resistance indefinitely
  • 9. Linear Resistors vs Memristors Resistor : Memristor :  Described by Ohm’s Law : V = R i(t)  R is constant  e.g. doubling the input current will double the output voltage  Described by Ohm’s Law : V = M(q) i(t)  M(q) is function of charge or flux
  • 10.  Memristors follow same rules as resistors when combined in networks:
  • 11. Characteristics of a Memristor :  Response to a sinusoidal excitation  Limited to I and III quadrant  Memristance is always bound between a min(RON) and Max(ROFF)  Zero-crossing  At high frequencies it acts as a linear resistor