Title: Linearized%20MOSFET%20Resistors
1Linearized MOSFET Resistors
2Review of Gm-C Filters
Gm-C filters voltage mode/current
mode/log-domain Use amplifier dynamics as
filtering elements If making 10kHz filter,
why make amplifiers run at 10MHz?
- Good properties
- Highest bandwidth / power consumed
- Smallest number of elements / area consumed
- Lowest noise levels / power consumed (thermal)
- Utilizes capacitor matching (ie. C4)
- Electronically tunable
3Issues for Gm-C Filters
Improvement by Floating-Gate Techniques
Tuning Need control schemes (direct or indirect) adds significant amount of control overhead Mostly compensates slight adjustments due to transistor aging / T changes, etc.
Matching Huge issue for current-mode techniques Design to eliminate these issues
Distortion Techniques to improve linear range, but at a cost of lower gm/I (lower speed, higher noise, higher power) More techniques to improve linear range
Most Gm-C techniques are fairly recent
(80s-90s), and Floating-Gate techniques
are even more recent (90s - ).
4Other Filter Techniques
Utilizing higher frequency elements / additional
elements, to improve distortion (as well as
1/f noise, etc.). Two techniques Amplifiers
(Op-amps), that run at much faster frequencies
than filter cutoff. Can use feedback to
widen the linear range. Significant power
increase. Oversampling Using a wider bandwidth
than necessary to lower
noise per unit bandwith (and more power) and
distortion. Nonlinear
systems can utilize noise shaping (Sigma-Delta
Modulators) Common in sampled
data systems. Two techniques Switched
Capacitor Blocks Blocks based upon
traditional, discrete RC active fitlers.
5How to Build Resistances?
Resistors in a CMOS process - Sometimes
High resistance poly layer in a given process
- Poly, diffusions, or Well, but larger area
consumed Fairly linear, can be large for
frequencies under 1MHz. Not tunable therefore
RC gt 20 mismatch, so we have a problem for
precission filtersso either laser trimming,
EEPROM trimming, (could tune cap, but)
or imprecise filters, like anti-alaiasing filter.
MOSFET as a Resistor
6MOSFET as a Resistor
Ohmic Region how linear will that be, well only
over a small region. We have a gate voltage,
so it is tunable, but of course, we
still need a method of tuning. MOSFET has an
ohmic region both in subthreshold
and above threshold operation. Resistance is
not exactly a constant, except for a fixed
source voltage. resistance changes with
source / drain voltage. Could imagine an nFET
and a pFET in parallel, but still not a
precission element.
7MOSFET as a Resistor
Two things to improve the situation. 1.
Typically built around an amplifier to fix one of
the terminals (mostly op-amps, but could
also be a Norton or
transisresistance approach as well)
The amplifier must keep terminals nearly fixed to
eliminate distrotion therefore, in
general the amplifier must run a lot
faster than expected by a simple GmC stage.
2. Can use a combination of MOSFETs to linearize
the behavior.
8Linearized MOSFET resistors
Simple Structure
Balanced Differential Element
Vi
Vi
9Linearized MOSFET resistors
In practice, one might use even lower input
impedance elements
GND
GND
GND
GND
10Basic Resistive Feedback
GND
Vout
Vin
R1
R2
11Basic Integrator Structure
C
GND
Vout
Vin
R1
C
C
Ideal Integrator if
12Tow-Thomas SOS (Lowpass)
C1
R3
C2
R
R1
R4
R2
Vin
R
GND
V1
Vout
GND
V2
GND
R4 needed for stability
Tuning can be interesting (tuning pots)
All amps must be sufficiently fast
13Tow-Thomas SOS (Lowpass)
C
R
C
R
R
R4
R
Vin
R
GND
Vout
GND
GND
t RC
Q R4 / R