High-speed and low-speed data converters serve critical functions in modern broadband mobile radios. This application note outlines how to determine high-speed data converter performance requirements in baseband sampling radio architectures. Also, system partition strategies and advantages are outlined when considering a high-speed analog front-end (AFE) solution.
A similar version of this article appears on Mobile Dev & Design (MD&D)
, May 20, 2010.
Mobile broadband wireless communication systems employ several techniques for improving spectral efficiency. To achieve high data rates, yield optimal system capacity, and ensure reliable quality of service (QoS), modern wireless communication systems use variable channel bandwidths (BW = 1.25MHz to 20MHz) with high-order modulation (16QAM to 64QAM) and code-division or orthogonal frequency-division multiple access (CDMA, OFDMA) as well as scalable, smart antenna technology (e.g., multiple-input multiple-output or MIMO, spatial diversity).
3GPP standards UMTS, TD-SCDMA, and long-term evolution (LTE) as well as others like IEEE® 802.16e, IEEE 802.11n, and IEEE 802.11ac are some common systems that use these techniques. As an example, a 4G LTE radio can achieve a peak data rate greater than 100Mbps with robust performance using 64QAM modulation, orthogonal frequency-division multiplexing (OFDM) with 2048 subcarriers, a 20MHz channel bandwidth, and a 2×2 MIMO architecture.
High-order modulation with OFDM, wide-channel bandwidths, and MIMO architectures all conspire to demand higher performance from the receive analog-to-digital converter (Rx ADC) and the transmit digital-to-analog converter (Tx DAC). The high-speed data converter requirements include faster sample rate, higher dynamic range, improved spectral performance, and multiple channels. Furthermore, since the end-product communication equipment is mobile and battery-powered, the data converters must be low power and miniature in size. These factors present a maze of design challenges when selecting the right high-speed data converter solution. The following topics present a methodology to help designers navigate these challenges.
Radio and Data Converter Functions
Small size, low power, and low cost are important design goals in mobile wireless products like smartphones, data cards, embedded radios, public safety radios, tactical military radios, or mobile satellite radios. Because of this, a direct-conversion zero intermediate frequency (ZIF) architecture is a common radio solution. Compared to heterodyne radios, the ZIF architecture eliminates multiple intermediate frequency components such as IF mixer, VGA, LO synthesizer, and image reject filter. This elimination lowers cost and reduces size. Furthermore, in applications with variable channel bandwidths, like LTE, the ZIF architecture lends itself to programmable baseband filtering.
Figure 1 illustrates the radio lineup used in a typical mobile application. The radio architecture, a ZIF receiver and quasi-direct conversion transmitter, requires a dual-channel high-speed Rx ADC and a dual-channel high-speed Tx DAC for in-phase and quadrature-phase (I/Q) baseband signal sampling and construction. Other low-speed converters are used for RF front-end gain control and ancillary analog signal measurements like RF power amplifier temperature and transmitter RF power level. The converter’s digital bus interfaces with a digital baseband processor in the form of a field-programmable gate array (FPGA), a digital signal processor (DSP), or an application-specific integrated circuit (ASIC). The digital baseband processor performs signal-processing functions like channel coding, modulation mapping, and digital filtering. As shown in Figure 1 a single-mode radio might require up to eight data converter channels.
Figure 1. Typical ZIF radios are based on a highly integrated analog front-end chip.
Enter the High-Speed Analog Front-End (AFE)
As shown in Figure 1, there is a 4:1 ratio between high-speed converter channels and a radio transceiver. For every radio transceiver added, the data converter density increases by four. The dramatic 4:1 relationship between data converters and radios can be seen in a 4×4 MIMO design, where four radio transceivers are needed with 16 high-speed data converter channels. This makes the data converter function an important area where dense analog integration can help shrink size, lower cost, and reduce power—all critical for mobile radio designs.
High-speed and low-speed data converters can be combined into a single device to meet size, cost, and power targets for mobile products. A high-speed AFE could function as an integrated converter solution. One such AFE is the MAX19713
, shown in Figure 2
. The AFE integrates all data converters needed to interface with a radio front-end.
Figure 2. The MAX19713 high-speed AFE block diagram.
A high-speed AFE has applications in multimode designs. One example is a dual-mode radio that supports UMTS with Wi-Fi®- or MIMO-based designs, such as LTE, WiMAX®, and IEEE 802.11n/ac, which require multiple radios and multiple converter channels. The 4:1 relationship between radio data converters and RF transceivers makes the AFE an attractive solution for FPGA-based and DSP-based designs.
Because stand-alone DSPs and FPGAs often are pure digital devices, they do not integrate mixed-signal data converter functionality. A high-speed AFE fulfills the data converter requirements and ideally does the job at low power with a small footprint. Another advantage to the AFE partition is scalability. As a given design scales from 1×1 single-input single-output (SISO) to 2×2 MIMO or 4×4 MIMO, the AFE can be bolted on as needed. This offloads the digital baseband modem from having to integrate multiple AFE configurations to support different MIMO radio scenarios. Moving the converters out of the digital baseband optimizes the modem die size, lowers test cost, and reduces silicon cost. Because of this, a stand-alone AFE partition provides design flexibility and scalability. However, fully understanding the system requirements is a key factor in executing a successful AFE partition.
When selecting a high-speed AFE for wireless communications systems, the target air-interface channel bandwidth, modulation order, and desired symbol error rate (SER) must be known. All data converter functions as related to the radio front-end must be identified. The converter cost and power targets must be established. And the converter dynamic performance requirements and trade-offs must be understood.
Understanding the high-speed converter performance requirements is critical for several reasons. Primarily, the converter’s dynamic performance establishes the radio’s performance level. The Rx ADC and Tx DAC must faithfully digitize and synthesize receiver and transmitter signals without degrading system signal-to-noise ratio (SNR) and SER. Furthermore, over specifying the converters will result in a larger die size that yields a higher-power and higher-cost solution. Also, to minimize system size and reduce total cost, the analog and digital physical interfaces must work seamlessly with the respective radio front-end and digital baseband processor. A seamless physical interface eliminates external discrete devices needed for level shifting, gain setting, and offset adjustments.
System requirements for modulation order, desired SER, undesired high interference levels, spurious emission levels, and access coding determine the Rx ADC and Tx DAC dynamic specifications. Signals that use high-order modulation require more quantization levels. Channel bandwidth determines the converter sample rate. The signal peak-to-average power ratio (PAPR) dictates dynamic range, and system spurious emission limits determine output spectral purity.
In mobile wireless terminals, the resolution of the Rx ADC or Tx DAC can range from 4 bits used in quadrature phase-shift keying (QPSK) to 12 or 14 bits used in 256QAM, and the conversion rate can vary from 2.5Msps to 80Msps for 1.25MHz to 40MHz channel bandwidths.
High-Speed Converter Sample Rate
The Nyquist criterion dictates that converter sampling frequency must be at least twice the highest frequency component of interest or information will be lost. For example, in an 802.11g wireless local-area network (WLAN) radio, the channel bandwidth is 16.25MHz. At baseband, the I/Q frequency components are each 8.125MHz. So theoretically, the Rx ADC and Tx DAC must sample at least 16.25Msps (FCLK = 16.25MHz).
This sample rate requires a “brick wall” (i.e., high order) filter that attenuates out-of-band frequency components to prevent aliasing by the Rx ADC or spurious emissions in the DAC transmit path. When the sample rate is increased by four or eight times, the baseband I/Q filter order requirement can be relaxed because alias and image frequencies are moved beyond the first Nyquist region.
Also, attenuation due to the Tx DAC sin(x)/x response can be minimized by increasing FCLK. The normalized Tx DAC output amplitude is given by the following equation:
AOUT = sin (πfOUT/fC) × (πfOUT/fC)-1
fOUT = output frequency
fC = clock frequency
The normalized output amplitude equation shows that for fOUT = FCLK/8, the sin(x)/x attenuation is reduced to 0.22dB. Process gain is an added benefit to oversampling since the converter SNR improves by 3dB with a twofold increase in FCLK.
As air-interface channel bandwidths increase, the data converter sample rate must increase. A minimum 2x oversampling rate is desirable to reduce baseband filter requirements, improve SNR, and minimize sin(x)/x effects. To address 4G variable channel bandwidths covering 1.4MHz up to 20MHz, the high-speed data converter should be at a minimum 2x oversampling rate, ranging from 2.8Msps to 40Msps.
Rx ADC: How Many Bits?
The Rx ADC dynamic-performance requirements can be calculated using the example Rx ADC SNR budget analysis in Figure 3. The analysis determines the required Rx ADC dynamic range for reliable signal recovery. In baseband sampling applications, the important ADC parameter is signal-to-noise and distortion (SINAD), which translates to effective number of bits (ENOB). Dynamic performance represented as ENOB, not absolute resolution in bits, is the key parameter. ENOB and SINAD are related by the following equation:
||6.02n + 1.76dB + 10log10fS/(2 × BW)
|n = effective number of bits
|fS = sampling frequency
|BW = signal bandwidth
The SINAD parameter accounts for noise and distortion within the Nyquist band and for process gain due to oversampling. RF front-end sensitivity, noise figure, and filtering are selected to meet the baseband demodulation signal-processing requirement for a desired SER. It is the primary job of the Rx ADC to quantize the ZIF receiver’s analog I/Q output signals without significantly degrading SNR. Furthermore, the Rx ADC cannot introduce distortion that inhibits reliable signal recovery.
The analysis in Figure 3 uses 64QAM modulation with OFDM, channel bandwidth = 5MHz, and 1e-5 SER and accounts for ADC SNR degradation, ADC gain/offset errors, and RF front-end automatic gain control (AGC) error. The analysis is applicable to any air interface standard, including LTE, high-speed packet access (HSPA), and 802.11a/b/g/n/ac.
Figure 3. The RX ADC SNR budget shows how different system aspects contribute to the total dynamic range requirement.
|Rx ADC SNR Budget
||64QAM, SER = e-5
||-0.6dB SNR degradation
||OFDM (n = 256) back-off
||±5% ADC gain/offset errors
||20% AGC error
||Digital filter blocker attenuation
10log (Fs/2 × BW)
||SINAD = 6.02N + 1.76
|Rx ADC Bits
The Rx ADC SNR budget involves several factors:
The above analysis concludes that an Rx ADC with SINAD = 51.86dB at FCLK = 10Msps ensures digital demodulator signal recovery of a 5MHz, 64QAM OFDM signal at SER = 1e-5.
Note on Rx ADC dynamic range: It is important to look closely at the Electrical Characteristics table in an Rx ADC data sheet for the specified SINAD and input full-scale level. To take advantage of the full Rx ADC dynamic range, the RX ADC input full-scale level should closely match the ZIF receiver’s analog I/Q output signal level. For instance, assume that the Rx ADC full-scale input is 2VP-P with SINAD specified at 50dB. Now assume that the ZIF receiver’s maximum full-scale output is 1VP-P. This means that the Rx ADC is effectively backed off by 6dB, which results in a 6dB reduction in SINAD for AIN = 1VP-P. As a result, the achievable SINAD is 44dB at AIN = 1VP-P. Conversely, if the Rx ADC were designed with a full-scale input of AIN = 1VP-P and specified SINAD = 50dB, then the full 50dB dynamic range could be used.
Figure 4. This graph shows the required SNR for a given symbol error probability and different orders of modulation.
Tx DAC: How Many Bits?
The Tx DAC dynamic-performance requirements can be calculated using the example Tx DAC SNR budget analysis in Figure 5. The analysis is based on the error vector magnitude (EVM) specification for a ZIF transmitter lineup. EVM is a modulation quality metric used in many air interface standards (3G, 4G, and 802.11) and is defined as the ratio of RMS constellation error magnitude to peak constellation symbol magnitude. Expressed as a percentage, it is a measure of total transmitter performance, including impairments such as gain/phase errors, symbol error, and in-channel spurious emissions. EVM is related to SNR by the following equation, and thereby can be related to SER:
SNR = -20log (EVM/100%)
The performance budget analysis in Figure 5 uses 16QAM modulation with OFDMA, 1e-6 SER, channel bandwidth = 8.75MHz, and allowances for Tx DAC degradation, DAC gain/offset errors, and PAPR. The analysis uses the WiBro® air interface standard as an example but is applicable to any wireless broadband standard.
Figure 5. The Tx DAC SNR budget includes many factors that contribute to the overall dynamic range. Using this method, designers can determine the required TX DAC ENOB.
|Tx DAC SNR Budget
||16QAM, 3/4 FEC
||0.25% EVM degradation
||OFDM (n = 256)
||DAC gain/offset errors (±5%)
||-0.91dB roll-off at FCLK/4
||SINAD = 6.02N + 1.76
|Tx DAC Bits
The Tx DAC SNR budget involves several factors:
- Modulation EVM: A given air-interface reference design, such as WiBro, that uses the MAX2837 RF transceiver provides a 3.5% transmit EVM for 16QAM and a 3/4 forward error correction (3/4-FEC) coded signal with POUT = 23dBm. The EVM specification is antenna-referenced and includes RF modulator and power amplifier (PA) impairments. The 3.5% EVM performance translates to -29.1dB SNR.
- SNR margin: Assume that the Tx DAC cannot degrade system SNR by more than 0.6dB, which translates to a Tx EVM degradation of 0.25%. Overall, Tx EVM, including the Tx DAC contribution, must be 3.75% (3.5% + 0.25%) or 28.5dB SNR. The modulator and PA yield 29.1dB SNR based on 16QAM modulation. Consequently, the Tx DAC must have 8.86dB better SNR to yield 0.6dB degradation. The Tx DAC requires 37.96dB SNR (29.1dB + 8.86dB).
- PAPR: For 2n-carrier (subcarriers = 256, 512, 2048) OFDMA signaling, the PAPR is 8dB to 12dB. This means the Tx DAC output must be backed off -12dB to prevent clipping during peaks. DAC clipping creates signal distortion, resulting in spurious emissions that degrade SER performance.
- Gain/offset errors: The major contributor to gain error in a DAC is the internal voltage reference. The internal reference can have ±5% tolerance over temperature. Offset is residual from the internal DAC amplifier voltage offsets. Gain and offset errors are important considerations in the DAC error budget because they reduce the usable dynamic range. If the gain and offset errors are each 10% of full scale, then each contributes a 1dB reduction in dynamic range. Because of this error, the DAC must be backed off 1dB to prevent output clipping and another 1dB to account for limited dynamic range.
- Sin(x)/x correction: The sin(x)/x frequency response at fC/fOUT = 4 results in -0.91dB attenuation at fOUT = FCLK/4. A finite impulse response (FIR) filter implemented in digital baseband can correct for this. Alternatively, if this roll-off is acceptable, then a +0.91dB margin can be added to the SNR budget, which accounts for -0.91dB SNR degradation at fOUT = FCLK/4.
The above analysis concludes that a Tx DAC with SNR = 52.87dB at FCLK = 17.5Msps can synthesize an 8.75MHz, 16QAM OFDMA WiBro signal spectrum at SER = 1e-6.
The auxiliary DAC channels are primarily used for level control functions like receiver AGC and PA output power. Factors influencing auxiliary DAC resolution and conversion rate include gain control voltage levels, gain range, gain step size, and settling time. Typical ZIF radios have approximately a 60dB receiver AGC baseband gain range with a 0.5dB step size, a 50dB transmitter VGA range with a 1dB step size, and a 30dB AFC range. The auxiliary functions typically have a 2V full-scale range and 100ms settling time. To calculate auxiliary DAC resolution, the AGC function provides a 60dB gain range and a 0.5dB step size = 120 steps. Therefore, 2n = 120 and n = 6.9 bits.
The DAC channels need to be guaranteed monotonic with less than ±2 LSB integral nonlinearity (INL). Absolute accuracy is not required because the DAC channels are used in a closed-loop system. However, guaranteed monotonic is important to maintain loop stability. To ensure system linearity, INL over a specified usable code range is adequate.
The auxiliary ADC parameters are primarily determined by input signal level and accuracy. However, in some applications such as 802.11a, a fast RSSI conversion (t < 5µs) is needed. Generally, measurements such as PA power level, voltage standing-wave ratio (VSWR), and temperature sensing are not critical for speed. A typical RF power detector like the MAX4003
operating at RFIN = 1900MHz has an analog output voltage range of 360mV (PIN
= -45dBm) to 1.58V (PIN
= 0dBm). A typical temperature sensor like the MAX6613 has an analog output range of 400mV to 2V with ±4°C accuracy. The resolution and conversion rate of general-purpose converters typically range from 8- to 10-bit and 50ksps to 300ksps, respectively.
When interfacing with a ZIF radio, the following data converter parameters can support 64QAM downlink, 16QAM uplink with OFDM; and 1.25MHz to 5MHz channel bandwidth at 8x oversampling or up to 10MHz channel bandwidth with 4x oversampling:
- Dual, 10-bit, 40Msps high-speed Rx AD, SINAD = 51.86dB
- Dual, 10-bit, 40Msps high-speed Tx DAC, SNR = 52.87dB
A single integrated high-speed AFE device, such as the MAX19713, can meet the above system requirements and provide the following features and benefits:
- Dual, 10-bit, 45Msps high-speed Rx ADC , SINAD = 54.3dB with 2.4dB margin
- Dual, 10-bit, 45Msps high-speed Tx DAC, SNR = 56.1dB with 3.2dB margin
- Tx DAC common-mode adjust with I/Q offset trim
- Triple, 10-bit, low-speed auxiliary DAC with serial interface
- 10-bit, low-speed auxiliary ADC with 2:1 multiplexer and serial interface
- Production tested over temperature
- Ultra-low power at 87mW (29mA, 3.0V) in FD mode at 40Msps
To achieve high spectral efficiency and deliver high data throughput, today’s wireless broadband systems employ advanced communication techniques like high-order modulation with OFDM, wide variable channel bandwidths, and MIMO radio architectures. These advanced communication techniques increase the performance requirements of radio-related high-speed data converters, including dense integration of more converter channels, faster sampling rates, higher dynamic range, lower power, and smaller size. As CMOS geometry for digital baseband processors scale from 45nm to 28nm in an effort to decrease power and increase processing speed, the integration of high performance, high-speed data converters into a large-scale ASIC becomes more difficult, more costly, and higher risk.
Designers also face shorter product development cycles. They must achieve fast time to market with limited capital expenditure in order to control cost. Compounding these issues, the unstoppable trend in wireless end-products is to integrate more radio features such as WLAN, WAN, PAN, GPS, and mobile TV. This trend of radio feature integration forces designers to contend with a multiplicity of high-speed converter channels that must interface with an array of different radios to support a diverse set of air interface standards.
High-speed AFEs present an attractive solution to help combat these inter-related IC-process and product-development trends. High-speed AFEs like the MAX19713 yield several product-development benefits, including fast time to market, low initial investment, and proven capability. These devices also provide a reliable and flexible off-the-shelf solution to seamlessly interface with high sensitivity RF front-ends and sub-micron digital baseband processor modems.
Agilent application note, “8 Hints for Making and Interpreting EVM Measurements,” http://cp.literature.agilent.com/litweb/pdf/5989-3144EN.pdf
Agilent application note, “WiMAX Concepts and RF Measurements: IEEE 802.16-2004 WiMAX PHY layer operation and measurements,” http://cp.literature.agilent.com/litweb/pdf/5989-2027EN.pdf
Razavi, Behzad. RF Microelectronics. Upper Saddle River, N.J.: Prentice Hall, 1998.
Sklar, Bernard. Digital Communications: Fundamentals and Applications. Englewood Cliffs, N.J: Prentice Hall, 1988.
The author would like to thank Scott Anderson of Maxim for contributing the data in Figure 4.