TUTORIAL 1055

Digital-to-Analog Converters Are a "Bit" Analog

© Apr 16, 2002, Maxim Integrated Products, Inc.

Abstract: Despite the popularity of digital devices, real-world signals are typically represented by analog signals. Digital control systems process analog signals by using an analog-to-digital converter (ADC) to convert analog signals to digital. Conversions back to analog signals are accomplished using a digital-to-analog converter (DAC). Maxim offers a complete line of precision DACs from 8 to 16 bits. It is important to find a DAC that meets the requirements of the application. A design engineer needs to look at parameters such as linearity, resolution, speed, and accuracy when selecting a DAC.

A similar version of this article appeared in the June 2001 issue of EPD magazine.

Despite the widespread use of digital electronics, the real world is still analog. As a result, digital-to-analog converters (DACs) are needed at the point of contact between digital and analog sections of a system. The following discussion covers important parameters that should be taken into account when selecting a DAC. It also highlights some interesting features available in the devices.

Most electronic devices now include digital control circuitry, but analog values are still needed to control valves, loudspeakers, and other actuators. The conversion from digital to analog is usually accomplished within a dedicated D/A converter. This DAC can be selected from the vast array of available standard circuits, in accordance with the conversion requirements and system settings.

Resolution

In selecting a DAC, the first step is to determine the necessary resolution, N, where 2N × LSB (least significant bits) equals the maximum analog output. Maxim offers product variety for DACs that specify a resolution in the range 8 bits to 16 bits (256 steps to 65,536 steps). Resolution gives no indication of accuracy, however, because other sources of error must be taken into account.

The next parameter of interest is integral nonlinearity (INL), which describes the deviation of a DAC's transfer function from a straight line. For DACs, this deviation is measured at every step (Figure 1a). The straight line can be a best approximation to the actual transfer function, or a line drawn between the transfer function's end points (after subtracting the gain and offset errors). Though low-cost devices specify this parameter as high as ±16 LSBs, it can often be improved through the use of correction coefficients in the operation software. For high-end DACs, INL values are better than ±1 LSB.

Differential nonlinearity (DNL) is the difference between an actual step height and the ideal value of 1 LSB. The target value for DNL (greater than -1 LSB) ensures that the DAC is monotonic. This means no data is lost because the output always changes in accord with the digital input; it increases in response to a digital increment, and decreases in response to a digital decrement. Figure 1b defines DNL in terms of the transfer function.

The deviation of the actual output from the ideal value is graphed in Figure 1c. For DACs, offset error equals the output voltage when the digital input is zero. This error remains constant for all input values, and normally can be compensated by calibrating the circuit. Offset error is often specified as an absolute value in millivolts rather than LSBs. (Offset error in LSBs depends on the output step height, which in turn depends on the level of reference voltage.) An acceptable offset error is usually less than ±10mV.

Gain error is the difference between the ideal maximum output voltage and the actual maximum value of the transfer function after subtracting the offset error (Figure 1d). Because gain error changes the slope of the transfer function, it delivers the same percentage error for each step. Gain error is expressed in LSB or millivolts, as a percent of the maximum value.

Figure 1. These graphs define major performance parameters for a DAC: (a) integral nonlinearity, (b) differential nonlinearity, (c) offset error, and (d) gain error.
Figure 1. These graphs define major performance parameters for a DAC: (a) integral nonlinearity, (b) differential nonlinearity, (c) offset error, and (d) gain error.

Dynamic Output Characteristics

An ideal DAC would deliver its analog output immediately after a digital value is applied to the input. Actual DACs, however, impose a settling time that consists of the internal propagation delay and a limited slew rate in the output driver. Settling time begins with the start of a conversion, ends when the DAC output becomes stable, and includes any static error.

A type of noise called "digital feedthrough" can be measured at the output of a DAC. Every digital transition at the input couples through to the output. Though caused by the DAC itself, this effect is intensified by improper grounding and board layout.

Data Interface

Formerly, the most widely used data interface was the parallel type. It still offers the advantages of fast transmission and a simple data protocol. Maxim provides a variety of DACs with a parallel interface, for example, the MX7839 13-bit voltage-output DAC with on-chip precision output.

In contrast to a parallel interface, the lower pin count of a serial interface requires less board space and allows a smaller package. Two principal serial interface protocols are the SPI™ and I²C. SPI supports full duplex communication with higher throughput than I²C. Additionally, the SPI interface does not require pullup resistors, which leads to lower power consumption. However, fewer pins/lines are required for the I²C interface. Maxim provides a variety of DACs that feature SPI or I²C interfaces. For example, the MAX5812 is a 12-bit, low-power voltage-output DAC with an I²C-compatible 2-wire serial interface. The MAX5214 is a 14-bit, low-power, buffered single DAC with a 3-wire SPI interface.

Reference Voltage

To a large extent, the characteristics of a DAC are defined by its reference voltage, whether generated within the DAC or applied externally. First, the reference voltage (VREF) sets the DAC's maximum output voltage, if the output signal is not amplified by an additional output stage. VREF also defines the voltage step by which the output changes in response to a 1-LSB transition at the input. One step equals VREF/2N, where N is the DAC resolution.

At a constant temperature, the output voltage of a reference varies within a range specified by its initial accuracy. For a changing temperature, the output voltage drift has a direct bearing on the DAC's quality (Table 1).

Table 1. Allowable Temperature Range for Maximum Drift of ±1 LSB in 2.5V References
Resolution (Bit) Step Count 1 LSB at 2.5V (mV) Temperature Drift at 0
to 70°C (ppm/°C, max)
Temperature Drift at -40°C
to 85°C (ppm/°C, max)
8 256 9,766 111,61 62,50
10 1024 2,441 27,90 15,63
12 4096 0,610 6,98 3,91
13 8192 0,305 3,49 1,95
14 16384 0,153 1,74 0,98
16 65536 0,038 0,44 0,24

Table 1 shows that a DAC requires minimum drift in its reference. Integrated references are typically 100ppm/°C, and are, therefore, qualified only for a limited temperature range. An exception is the 12-/13-bit MAX5122/MAX5132, whose integrated precision reference specifies a maximum drift of 10ppm/°C (3ppm/°C, typ).

When connecting an external reference, you should consider not only the current required and the voltage range of the DAC's reference input, but also any dynamic effects produced by the DAC's inner structure. With variation of the applied digital value, the reference input resistance can also change. Thus, the reference selected must be capable of following each load step within the required time, or you must add a bypass capacitor or an op amp buffer.

DACs with an external reference input (like the MAX5170) can also be operated in the multiplying mode. A variable voltage (rather than a constant one) is applied to the reference input (Figure 2). The variable voltage is multiplied with the adjusted digital input value and transferred to the output, producing the effect of an accurate digital potentiometer. For this operating mode, you should consider the DAC's bandwidth and voltage range, as well as dynamic characteristics of the reference input. These characteristics include voltage feedthrough from the reference input to the output, at a digital value of zero.

Figure 2. A multiplying DAC produces the product of the digital input and an AC-reference signal.
Figure 2. A multiplying DAC produces the product of the digital input and an AC-reference signal.

Output Stages

The output stage of a DAC can be designed to provide a voltage or current output, but the simpler voltage output has a much larger market share. Some Maxim devices offer a voltage output with fixed gain or an uncommitted amplifier as options, the so-called "force-sense" outputs. That arrangement lets you set an individual gain with two external resistors (Figure 3a). The force-sense voltage output also lets you realize a current output (Figure 3b).

Figure 3. An uncommitted output op amp provides a
Figure 3. An uncommitted output op amp provides a "force-sense" output (a). Configured as shown in (b), the op amp provides a current output for the DAC.

The MAX5120 and MAX5170 families provide a special power-up feature called "glitch prevention." Without this feature, the DAC output simply follows the supply voltage at power-up until the integrated circuits start to work. That action corrupts the output with an impulse up to 3V high, which can lead to a malfunction in the following circuitry. MAX5120/MAX5170 devices suppress this impulse. They also deliver a power-up reset that clears all DAC registers. This reset can be adjusted for power-up at 0V or at half of the maximum output voltage (midrange), as is required for bipolar output stages.

Most modern devices operate on a unipolar power supply, but they can deliver bipolar output signals if you add an external bipolar amplifier and define midrange of the maximum output voltage as zero. Parts like the 12-bit MAX5322 operate on bipolar supplies and deliver bipolar output voltages directly. As another consideration for the DAC power supply, you should note that latchup can occur if a digital-input voltage is 0.3V higher than the supply voltage. In particular, data signals should not be applied to the DAC input at power-up or power-down. Schottky diodes provide protection against this problem (Figure 4).

Figure 4. Schottky diodes provide protection against latchup effects at power-up or power-down.
Figure 4. Schottky diodes provide protection against latchup effects at power-up or power-down.

Related Parts
MAX5120 +3V/+5V, 12-Bit, Serial, Voltage-Output DACs with Internal Reference Free Samples  
MAX5122 +5V/+3V, 12-Bit, Serial, Force/Sense DACs with 10ppm/°C Internal Reference Free Samples  
MAX5132 +5V/+3V, 13-Bit, Serial, Force/Sense DACs with 10ppm/°C Internal Reference Free Samples  
MAX5170 Low-Power, Serial, 14-Bit DACs with Voltage-Output Free Samples  
MAX5175 Low-Power, Serial, 12-Bit DACs with Force-Sense Voltage-Output Free Samples  
MAX5322 ±10V, Dual, 12-Bit, Serial, Voltage-Output DAC Free Samples  


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APP 1055: Apr 16, 2002
TUTORIAL 1055, AN1055, AN 1055, APP1055, Appnote1055, Appnote 1055