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Maxim > Design Support > Technical Documents > Application Notes > Wireless and RF > APP 3062
Keywords: high-speed ADC, high-speed analog-to-digital converter, high dynamic performance, RF
receiver, Rx, transmitter, Tx, base station systems, BTS, AMPS, CDMA, WCDMA, mixer, IF, dynamic
range, AGC, VGA, RF, baseband, signal-to-noise ratio, SNR, blocker, c
APPLICATION NOTE 3062
Dynamic Performance Requirements for HighPerformance ADCs and RF Components in Digital
Receiver Applications
Jun 15, 2004
Abstract: Today's basestation systems (BTS) have to meet a variety of different standards and must fulfill
critical specifications in various blocks of the signal chain. The following paper identifies these demands
in signal chain components such as high dynamic performance ADCs, variable gain amplifiers, mixers
and local oscillators and details their use in a typical BTS application and how they meet the stringent
requirements for high dynamic performance, high intercept performance and low noise.
Demanding requirements are placed on high-performance analogto-digital converters (ADCs) and analog components in most digital
receivers. In cellular base station digital receivers for example,
sufficient dynamic range is needed to handle high-level interferers
(or blockers) while properly demodulating the lower level desired
signal. Maxim's MAX1418 15-bit 65Msps or MAX1211 12-bit
65Msps ADC, in combination with the MAX9993 2GHz or
Click here for an overview of the wireless
MAX9982 900MHz integrated mixers, provide exceptional dynamic
components used in a typical radio
transceiver.
range for two of the most critical stages in a receiver line-up. In
addition, Maxim's MAX2027 and the MAX2055 IF digital variable
gain amplifiers (DVGAs) provide exceptionally high third order
output intercept performance (OIP3) with the required gain adjustment range for many applications.
A cellular base station (BTS: Base Transceiver Station) consists of many different hardware modules
including one that performs the RF receiver (Rx) and transmitter (Tx) functionality - namely a transceiver
(TRx). In the older analog AMPS and TACS BTSs, one transceiver handles a duplexed Rx and Tx RF
carrier. Many transceivers are needed to provide enough carriers to obtain the required calling coverage.
Analog technology is being replaced by CDMA and WCDMA worldwide, and Europe adapted GSM over
a decade ago. In CDMA, many callers utilize the same RF frequency, which allows a single transceiver
to handle many callers' signals simultaneously. Various CDMA and GSM designs exist today and
methods to reduce cost and power are continuously being sought by BTS manufacturers. Optimizing
single-carrier solutions or developing multi-carrier receivers can accomplish this. Figure 1 illustrates the
main blocks in a subsampling receiver architecture commonly used in BTS equipment.
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Figure 1. Subsampling receiver architecture.
Maxim's MAX9993 2GHz mixer and MAX9982 900MHz mixer provide the gain and high linearity coupled
with low noise figure allowing the designer to eliminate lossy, passive mixers in many designs. The
MAX2027 and MAX2055 are designed to operate in the 1st or 2nd IF stages of the receiver. Both offer
+40dBm third order output intercept (OIP3) performance over their entire gain adjustment range. Even
though the MAX1418 (15-bit 65Msps) and MAX1211 (12-bit 65Msps) data converters are illustrated in
Figure 1, other speed grades satisfying most applications are included in both converter families. If the
second down conversion is eliminated (shown in dashed lines), the figure depicts a single down
conversion architecture.
Maxim's Low Noise ADC, MAX1418
For the subsampling receiver architecture shown in Figure 1, stringent noise and distortion requirements
are placed on the ADC. In receiver applications, the lower level desired signal is digitized alone or in the
presence of an unwanted signal(s) that can be significantly larger in amplitude. To properly design the
receiver, the ADC effective noise figure must be determined under these two signal extremes. The
converter's noise figure is determined by comparing its total noise power to the thermal noise floor. For
small analog input signals, the thermal + quantization noise power dominate the ADC's noise floor,
which is used to approximate the ADC's effective noise figure (NF).
In practice, once the ADC's effective noise figure is known in the small signal condition, and the
cascaded noise figure of the analog circuitry (RF & IF) is determined, the minimum power gain ahead of
the ADC is selected to meet the required receiver noise figure. The amount of power gain places an
upper limit on the maximum blocker, or highest interference level the receiver can tolerate before the
ADC overloads. For BTS applications, the ADC often does not have sufficient dynamic range to meet
both the noise figure requirements (receiver sensitivity) and maximum blocker requirements without
implementing automatic gain control (AGC). The AGC can be included either in the RF stages, IF
stages, or both.
Other converters in the MAX1418 family are optimized for baseband performance where fINPUT =
fCLOCK/2 . Operating in this frequency range and using these baseband optimized parts provide the best
possible converter dynamic range. These converters include the MAX1419 optimized for a 65Msps clock
rate and the MAX1427 optimized for a clock rate of 80Msps, both with SFDR performance equal to
94.5dBc at baseband.
The following example uses the MAX1418 specifications listed in Table 1:
Table 1. MAX1418 Electrical Characteristics
Parameter
Condition
Symbol Typ Value Units
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Resolution
N
15
Bits
Analog Input Range
VID
2.56
VP-P
Differential Input Resistance
RIN
1
kΩ
AC Specifications
fCLK = 65Msps
Thermal + Quantization Noise Floor
Analog input = -35dBFS Nfloor
-78.2
dBFS
Signal-to-Noise Ratio Analog in = -2dBFS
fIN = 70MHz
SNR
73.6
dB
Spurious-Free Dynamic Range Analog in = -2dBFS fIN = 70MHz
SFDR
84
dB
Signal-to-Noise-and-Distortion Analog in = -2dBFS fIN = 70MHz
SINAD 73.3
dB
The MAX1418 can be used with a 14-bit interface by not connecting the LSB. If so used, there is a
slight SNR performance penalty and the SFDR performance remains essentially unaffected.
Figure 2 illustrates the ADC noise contribution in the absence of a large-level blocker. Assume all the
analog circuitry in front of the ADC has a cascaded noise figure of 3.5dB. As a first approximation,
suppose a designer's goal is for the ADC to degrade the overall receiver noise figure by no more than
0.2dB to meet some target sensitivity in a CDMA base station receiver. This noise figure value should
provide sufficient margin to the air-interface requirements, which is also dependent on the final detector's
Eb/No (bit energy to noise power spectral density ratio) requirement. If the MAX1418 Thermal +
Quantization Noise Floor value from Table 1 is used, an equivalent noise figure of 26.9dB can be
calculated when the device is clocked at 61.44Msps (50x chip rate). The ADC noise in the 1.23MHz
CDMA channel bandwidth is 14dB lower than the noise in the Nyquist bandwidth due to the processing
gain achieved. An overall gain of 36dB is needed to achieve the desired cascaded receiver noise figure
value of 3.7dB.
Figure 2. ADC noise contribution for no blocker.
With 36dB gain ahead of the ADC, a maximum single tone blocker level above -30dBm at the antenna
terminal will exceed the ADC full-scale input. The cdma2000® cellular base station standard specifies a
maximum allowable blocker level of -30dBm at the antenna terminal. For this example, 6dB gain
reduction is used to increase the largest allowable blocker signal applied to the ADC providing margin to
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the standard's specification. Assuming 2dB headroom is allowed, 6dB gain reduction results in a
maximum blocker level of -26dBm at the antenna and +4dBm at the ADC input (see Figure 3). The
cellular standards allow 3dB degradation in overall (noise + distortion) relative to reference sensitivity
when a single-tone blocker is present. The allocation of individual noise and distortion components is left
up to the designer.
Suppose the designer allows the RF front-end cascaded noise plus distortion to degrade the NF by 1dB
(from the nominal 3.5dB) when the blocker is present with 6dB of AGC applied. With only 30dB of gain
in front of the ADC and an effective noise figure of 29.4dB determined by the ADC SNR performance,
the cascaded receiver noise figure is 5.7dB in the 'blocked condition', which is a 2dB degradation from
3.7dB noise figure calculated for receiver sensitivity. Because this calculation does not take into account
the spurious performance, an additional 1dB degradation can be allowed for the ADC's spurious free
dynamic range (SFDR) performance. Instead of calculating noise and SFDR contributions separately,
SINAD could have been used to compute the effective NF when a blocker signal is present.
Figure 3. ADC noise contribution for blocker present.
MAX1211 Allows Single Down Conversion Architecture
The subsampling architecture can be used with a single down conversion architecture if sufficient SNR &
SFDR performance can be obtained from the converter at higher IF frequencies. Maxim's MAX1211 is a
12-bit 65Msps converter designed with this architecture in mind along with pin-compatible 80Msps and
95Msps versions that will soon be released. This family of converters allows direct IF sampling for input
frequencies up to 400MHz along with advanced features such as differential or single-ended clock input,
allows 20% to 80% clock duty cycle, data valid indicator allowing the simplification of clock and data
timing, 2's complement or gray code digital output data format all in a small 40-pin thin QFN package
(6mm x 6mm x 0.8mm). See Table 2 for the typical MAX1211 AC specifications illustrating the superb
AC performance for an analog input frequency of 175MHz. (Note: An improved MAX1211 version, whose
AC specifications are given in the table below, will be available in about one month.)
Table 2. MAX1211 Electrical Characteristics
Parameter
Condition
Symbol
Typ
Value
Units
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Resolution
N
12
Bits
Analog Input Range
VID
2
VP-P
Differential Input Resistance
RIN
15
kΩ
AC Specifications
fCLK = 65Msps
Thermal + Quantization Noise Floor
Analog input = 35dBFS
Nfloor
69.3
dBFS
Signal-to-Noise Ratio Analog in = -0.2dBFS
fIN = 32.5MHz
fIN = 175MHz
SNR
68.3
66.8
dB
Spurious-Free Dynamic Range Analog in = 0.2dBFS
fIN = 32.5MHz
fIN = 175MHz
SFDR
82.4
79.7
dB
Signal-to-Noise-and-Distortion Analog in = -2dBFS
fIN = 32.5MHz
fIN = 175MHz
SINAD
68.1
66.5
dB
There are significant advantages gained when choosing single down conversion instead of double down
conversion. By eliminating the second down conversion mixer, second-IF gain stages, and 2 nd LO
synthesizer circuitry, the parts count and board space can be reduced by approximately 10% and cost by
$10 to $20.
Spurious Considerations for Different Architectures
If saving parts count, board space, power, and cost don't provide enough incentive, the following
example illustrates the frequency planning advantage gained when using the MAX1211 in a single down
conversion architecture. Suppose a cdma2000 receiver is designed to operate in the PCS frequency
band. For a sample rate of 61.44Msps and synthesizer reference frequency of 30.72MHz, choose a first
IF frequency centered in the sixth Nyquist band at 169MHz having a bandwidth of approximately
1.24MHz. Using the same first IF center frequency of 169MHz, the DDC architecture assumes a 2 nd IF
frequency is centered in the 2 nd Nyquist band at 46.08MHz.
Table 3. Spur Search Assumptions for SDC & DDC Architectures
SDC DDC Parameter
Value
x
x
Receive band
1904.3800 to 1905.6200MHz
x
x
Clock Frequency
61.44000MHz
x
x
Max clock harmonic
30
x
x
Synthesizer ref freq
30.7200MHz
x
x
Max synthesizer harmonic 40
x
x
First injection LS
1736.0000MHz
x
x
Max 1st LO harmonic
5
x
x
Receive image band
1566.3800 to 1567.6200MHz
x
x
First IF band
168.3800 to 169.6200MHz
x
Second injection LS
122.9200MHz
x
Max 2nd LO harmonic
5
x
1st IF image band
76.2200 to 77.4600MHz
x
Second IF band
45.4600 to 46.7000MHz
Table 3 lists the spur search assumptions for an RF carrier near the upper end of the PCS band for the
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single-carrier, single down conversion (SDC) and double down conversion (DDC) architectures. For the
SDC architecture, the spur search resulted in 134 total spurs in the RF receive band, receive image
band, IF band, and IF image band. Most of these spurs are high order and will not degrade the
receiver's performance. For the DDC architecture, this spur search results in over 2400 spurs, which 18
times more than what was calculated for the SDC architecture. These spurious products occur in the RF
receive band, receive image band, 1 st IF band, 1 st IF image band, 2 nd IF band, and 2 nd IF image band.
The spurs resulting from combinations of higher clock harmonics and synthesizer reference frequency will
be relatively easy to reduce through good board layout practices and filtering. However, a significant
number of lower order spurs will be difficult to minimize.
Maxim's IF Amplifiers, MAX2027 & MAX2055
Maxim also offers high performance IF amplifiers having digital variable gain control in 1dB increments.
The MAX2027 is a digital variable gain amplifier (DVGA) having single-ended input / single-ended output
for frequencies ranging from 50MHz to 400MHz. This DVGA offers a low noise figure of 5dB at
maximum gain. The MAX2055 is a single-ended input / differential output DVGA meant to drive highperformance ADCs for frequencies ranging from 30MHz to 300MHz. A step-up transformer can be used
between the differential output of the MAX2055 and the ADC differential input. The transformer is driven
differentially; thus optimizing the transformer performance and balance between the output signals. Both
DVGAs operate from 5V bias and have +40dBm OIP3 over all gain setting ranges. See the associated
data sheets on Maxim's web site for additional detail at www.maximintegrated.com.
Maxim's High Linearity Mixers, MAX9993 & MAX9982
In receiver circuits, mixers are subjected to large input signals that place stringent requirements on their
performance. Ideally, the mixer output signal amplitude and phase are proportional to the input signal's
amplitude and phase and independent of the LO signal characteristics. Using this assumption, the
amplitude response of the mixer is linear for the RF input and is independent of the LO input.
However, mixer nonlinearities produce undesired mixing products called spurious responses, which are
caused by undesired signals reaching the mixer's RF input port and producing a response at the IF
frequency. When they interfere with the desired IF frequency, the mixing mechanism can be described
by:
fIF = ± mf RF ± nfLO where IF, RF, and LO refer to the signals at designated ports respectively and m and
n are integer harmonics of both the RF and LO frequencies that mix to create numerous combinations of
spurious products.
Integrated (or active) balanced mixer designs, such as Maxim's MAX9993 and MAX9982 are becoming
more popular as their performance rivals that of passive mixer solutions. Balanced mixers reject certain
spurious responses when m or n is even resulting in excellent 2 nd order harmonic performance. Ideal
double balanced mixers reject all responses where m or n (or both) is even. The IF, RF, and LO ports
are mutually isolated in all double balanced mixers. With properly designed baluns, these mixers can
have overlapping RF, IF, and LO bands. The MAX9993 and MAX9982 features include: gain, low noise
figure, integrated LO buffer, low LO drive, LO switch allowing two LO frequency inputs, superb LO noise
performance, and integrated RF baluns on the RF and LO ports.
Maxim's mixers have built-in LO buffers with superb LO noise performance that ease the input LO power
requirements driving them. LO noise reciprocally mixes with high-level input blocking signals that
desensitize the receiver. Both MAX9993 and MAX9982 have low noise LO buffers designed to have
minimal impact on receiver desensitization when blockers are present. For example, suppose the VCO
providing the injection signal has a sideband noise performance of -145dBc/Hz. The typical LO noise
performance for the MAX9993 is -164dBc/Hz so the composite sideband noise performance is degraded
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by only 0.05dBc/Hz to -144.95dBc/Hz. This way, the user not only benefits from needing to provide a
low-level LO injection signal to the mixer, but can also be assured the reciprocal mixing performance of
the receiver is not degraded due to the MAX9993 LO buffer performance.
A particularly troublesome 2 nd order spurious response called the half-IF (1/2 IF) spurious response is
defined for the mixer indices of (m = 2, n = -2) for low-side injection and (m = -2, n = 2) for high-side
injection. For low-side injection, the input frequency that creates the half-IF spurious response is located
below the desired RF frequency by an amount fIF/2 from the desired RF input frequency (see Figure 4).
The desired RF frequency is represented by 1909MHz, and in combination with the LO frequency of
1740MHz, the resulting IF frequency is 169MHz. Though the CDMA RF and IF carrier occupies a
1.24MHz bandwidth, it's illustrated as a single frequency indicating the center carrier frequency. For this
example, the undesired signal at 1824.5MHz causes a half-IF spurious product at 169MHz.
Verify:
2 x fHalf-IF - 2 x fLO =
2 x (fRF - fIF/2) - 2 x (fRF - fIF) =
2 x (fRF - 2 x fIF/2) - 2 x fRF + 2 x fIF = fIF
Results in:
2 x 1824.5MHz - 2 x 1740MHz = 169MHz
Figure 4. Frequency locations for desired fRF, fLO, fIF, and undesired fHalf-IF.
The amount of rejection, called the 2x2 spurious response, can be predicted from the mixer's second
order intercept point, IP2. The 2x2 IMR or spurious values in Figure 5 are taken from Maxim's MAX9993
data sheet. Note the signal levels in the figure are referred to the input of the mixer for which the input
IP2 (IIP2) performance is calculated.
Such superb level of 2x2 performance results in the following:
IIP2 = 2 x IMR + PSPUR = IMR + PRF
= 2 x 70dBc + (-75dBm) = 70dBc + (-5dBm)
= +65dBm
Similarly, Maxim's MAX9982 900 MHz active mixer provides typical 2RF - 2LO spurious response equal
to 65dBc under similar conditions which results in:
IIP2 = 2 x IMR + PSPUR = IMR + PRF
= 2 x 65dBc + (-70dBm) = 65dBc + (-5dBm)
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= +60dBm
Figure 5. 2 nd -order intercept calculation for signals referred to mixer input, IIP2.
Image-reject filters used in the RF path immediately ahead of the mixer attenuate any amplifier
harmonics. The noise filter in the LO path attenuates harmonics caused by the LO injection source.
High-level input signals create distortion or intermodulation products and can be quantified by calculating
the intercept point, either at the input or output of the device or system. For the case where the mixer
LO power is held constant, the order of the intercept point or distortion product is determined only by the
RF multiplier and not by the LO multiplier because variations in the RF signal are only of concern. The
order refers to how fast the amplitudes of the distortion products increase with a rise in input level.
It's been shown that Maxim's MAX1418 15-bit ADC offers excellent noise performance resulting in low
required receiver gain thus withstanding higher blocker or interference levels with minimum AGC. The
MAX1211 ADC family is ideally suited for a single-conversion receiver architecture with 1 st IF input
frequencies up to 400MHz. In addition, Maxim's RF MAX9993 and MAX9982 mixers provide the desired
linearity along with low noise figure and sufficient power gain to eliminate the need for passive mixers in
many of today's receiver designs. Maxim's MAX2027 and MAX2055 DVGAs provide a typical OIP3 value
of approximately +40dBm over their entire gain adjustment range. Taken together, a receiver lineup
incorporating these components can achieve a high level of performance in a very cost effective solution.
1. The output intercept point is merely the input intercept point plus the gain (in dB) of the circuit or system under measurement.
References
1. Referenced application notes found on Maxim's web site www.maximintegrated.com include:
AN 728 'Defining and Testing Dynamic Parameters in High-Speed ADCs, Part 1'
AN 729 'Dynamic Testing of High-Speed ADCs, Part 2'
AN 1197 'How Quantization and Thermal Noise Determine an ADC's Effective Noise Figure'
AN1929 'Understanding ADC Noise for Small and Large Signal Inputs for Receiver
Applications'
AN 1838 'Mixer 2x2 Spurious Response and IP2 Relationship'
AN 2021 'Specifications and Measurement of Local Oscillator Noise in Integrated Circuit Base
Station Mixers'
AN 2371 'Consider Overall Cascaded Performance When Comparing Integrated RF Frequency
Mixers to Passive Mixer Solutions'
2. 'Digital Techniques for Wideband Receivers' by James Tsui, Artech House Publishers, 1995.
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3. 'RF Design Guide, Systems, Circuits, and Equations' by Peter Vizmuller, Artech House Publishers,
1995
4. 'CDMA Systems Engineering Handbook' by Jhong Sam Lee & Leonard E. Miller, Artech House
Publishers, 1998.
A similar version of this article appeared in the February issue of Microwaves&RF magazine.
cdma2000 is a registered certification mark and registered service mark of the Telecommunications
Industry Association.
Related Parts
MAX1211
12-Bit, 65Msps, IF Sampling ADC
MAX1418
15-Bit, 65Msps ADC with -78.2dBFS Noise Floor for IF
Applications
MAX2027
IF Digitally Controlled Variable-Gain Amplifier
MAX2055
Digitally Controlled, Variable-Gain, Differential ADC
Driver/Amplifier
MAX9982
825MHz to 915MHz, SiGe High-Linearity Active Mixer
Free Samples
MAX9993
High-Linearity 1700MHz to 2200MHz Down-Conversion
Mixer with LO Buffer/Switch
Free Samples
More Information
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APPLICATION NOTE 3062, AN3062, AN 3062, APP3062, Appnote3062, Appnote 3062
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