Amplifiers – With semiconductor amplifying device – Including differential amplifier
Reexamination Certificate
1998-11-25
2001-01-23
Mottola, Steven J. (Department: 2817)
Amplifiers
With semiconductor amplifying device
Including differential amplifier
C330S311000
Reexamination Certificate
active
06177838
ABSTRACT:
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates generally to complementary metal oxide semiconductor (CMOS) circuitry, and more specifically to a gain enhanced cascoded CMOS operational amplifier circuit providing faster settling time without sacrificing stability and accuracy.
2. Description of the Prior Art
Analog signal processing circuits having CMOS operational amplifier (op-amp) circuits include switched-capacitor filters, algorithmic A/D converters, sigma-delta converters, sample- and hold amplifiers, and pipeline A/D converters. Analog signal processing applications typically require op-amp circuits having a high gain high accuracy analog signal processing systems typically require a gain of 60 dB to 100 dB. Gain is typically limited in CMOS op-amp circuits due to device characteristics. However, high gain is only one of several important op-amp circuit design parameters which further include accuracy and stability which are related to linearity and phase margin. In many cases, the speed and accuracy of a CMOS analog signal processing system is determined by the settling behavior of a CMOS operational amplifier circuit included therein As explained below, fast settling time in an op-amp circuit requires a high unity-gain frequency and preferably a single-pole settling behavior.
FIG. 1A
 shows a schematic diagram at 
10
 of a single transistor CMOS operational amplifier (op-amp) circuit including: a current source 
12
 having a terminal 
14
 connected to a system voltage source VDD, and an opposite terminal 
16
 connected to a node 
18
; an NMOS transistor 
20
 having a drain 
22
 connected to node 
18
, a gate 
24
 connected to receive an input voltage V
i
, and a source 
26
 connected to a node 
28
; and a load capacitor 
30
 having a terminal connected to node 
18
, and an opposite terminal connected to node 
28
. An output voltage V
O 
is developed across the load capacitor 
30
 between nodes 
18
 and 
28
, in response to the input voltage V
i 
provided to gate 
24
 of the transistor 
20
.
FIG. 1B
 shows a schematic diagram at 
40
 of an AC small signal equivalent circuit of the single transistor CMOS op-amp circuit 
10
 (FIG. 
1
A). The equivalent circuit 
40
 includes: a voltage controlled current source 
42
 having a first terminal connected to a node 
44
, and an opposite terminal connected to a node 
46
; an output resistance element 
48
 having an output impedance value r
o
, and having a terminal connected to node 
44
, and an opposite terminal connected to node 
46
; and a load capacitive element 
50
 having a load capacitance value C
L
, and having a terminal connected to node 
44
, and an opposite terminal connected to node 
46
. The input voltage V
i 
is represented across a terminal 
52
 and node 
46
, and the output voltage V
O 
is represented across nodes 
44
 and 
46
. The output impedance value r
o 
represents the output impedance of the op-amp circuit 
10
 (
FIG. 1A
) looking into the output node 
18
 (FIG. 
1
A). The voltage controlled current source 
42
 provides a current, i, having a value expressed according to Relationship (1), below,
i
=(
g
m
*V
i
)  (1) 
wherein g
m 
represents the transconductance of the NMOS transistor 
20
 (FIG. 
1
A).
The DC gain, A
DC
, of the op-amp circuit 
10
 (
FIG. 1A
) may be generally expressed in accordance with Relationship (2), below.
A
DC
=V
out
/V
in
=(
g
m
* r
0
)  (2) 
The gain as a function of frequency of the circuit 
10
 (
FIG. 1A
) may be generally expressed in accordance with Relationship (3), below,
A
(
f
)=
A
DC
/(1+
j*f/f
0
)  (3) 
wherein f
0
, is the pole frequency of the circuit 
10
 (
FIG. 1A
) which is equal to 1/(2*&pgr;*r
o
*C
L
).
FIG. 1C
 shows a bode plot at 
60
 representing the gain 
61
, or frequency response of the single transistor op-amp circuit 
10
 (FIG. 
1
A). The depicted bode plot includes an AY-axis 
62
 representing the log of the gain of the single transistor op-amp expressed in decibels (dB), and an X-axis 
64
 representing the log of frequency. Between DC (f=0) and a first pole frequency f
0
, the gain 
61
 is approximately equal to A
DC
. At the first pole frequency f
0
, the gain begins to roll off at negative 20 dB/decade, at a slope of −1 on the log—log scale. The first pole frequency, which is associated with the load capacitance C
L 
and output impedance r
o 
of the circuit 
10
 (FIG. 
1
A), is also commonly referred to as the negative 3 dB frequency point, or the negative 3 dB bandwidth. At a unity gain frequency f
u
, the gain 
61
 of the op-amp circuit 
10
 (
FIG. 1A
) is equal to 0 dB, which corresponds with a unity gain value. The unity gain frequency f
u 
is equal to (A
DC
*f
0
) for the single pole op-amp circuit 
10
 (FIG. 
1
A).
Due to a short channel effect in modern sub-micron CMOS processes, the gain provided by the single transistor CMOS op-amp circuit 
10
 (
FIG. 1A
) is limited to approximately 20 to 25 dB. However, gain is only one important design parameter. Speed and accuracy are also important properties of op-amp circuits. Typically, methods for increasing the gain of an op-amp circuit give rise to higher order poles.
Because of the demand for increased clock rates in switched capacitance circuits, fast-settling time is required for accuracy in op-amp circuits. Fast-settling time requires a high unity-gain frequency and preferably a single-pole settling behavior, whereas accurate settling requires a high DC-gain. The realization of a CMOS op-amp circuit that combines high DC-gain with high unity-gain frequency has been a difficult problem. A high DC gain is typically achieved using multistage designs with long-channel devices biased at low current levels, whereas a high unity-gain frequency is typically achieved using a single-stage design with short-channel devices biased at high current levels. Future processes with sub-micron channel length will enable the realization of higher unity-gain frequencies. However, the intrinsic MOS transistor gain, (g
m
*r
o
), will then be lower, and the problem of achieving sufficient DC-gain becomes even more difficult.
Several circuit design approaches have been developed to circumvent this problem. Cascoding is a well-known means to enhance the DC-gain of an amplifier without severely degrading the high-frequency performance. The result is a DC-gain that is proportional to the square of the intrinsic MOS transistor gain (g
m
*r
o
). However, cascoding does not provide optimal phase margin because power supply levels are decreasing in modern CMOS devices, head room between power supply rails is decreasing. The technique of cascoding is not amenable to decreased head room.
FIG. 2A
 shows a schematic diagram at 
80
 of a cascoded CMOS gain stage. The depicted gain stage 
80
 includes: a current source 
82
 having a terminal 
84
 connected to a system voltage source VDD, and an opposite terminal 
86
 connected to a node 
88
; a cascoded transistor 
90
 having a drain 
92
 connected to node 
88
, a gate 
94
 connected to receive a reference voltage V
ref
, and a source 
96
 connected to a node 
98
; an input transistor 
100
 having a drain 
102
 connected to node 
98
, a gate 
104
 coupled to receive an input voltage V
i
, and a source 
106
 connected to VSS. In the depicted circuit, both the cascoded transistor 
90
 and the input transistor 
100
 are NMOS transistors. The gain stage 
80
 further includes: a load capacitor 
110
 having a capacitance value C
L
, and having a terminal connected to node 
88
, and an opposite terminal connected to VSS; and a parasitic capacitance element 
112
 having a capacitance value C
P
, and having a terminal connected to node 
98
, and an opposite terminal connected to VSS.
An increased gain is achieved in the cascoded CMOS gain stage 
80
 over the single transistor op-amp 
10
 (
FIG. 1A
) in accordance with the method of cascading which increases the gain of an op-amp circuit by increasing the output impedance of the op-amp circuit. The DC-gain of an op-amp circuit is
Hamrick Claude A. S.
Mottola Steven J.
Oppenheimer Wolff & Donnelly LLP
PixArt Technology, inc.
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