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Envelope Tracking and Digital Pre-Distortion PA Testing for LTE User Terminal Components - App Note 5991-4069EN c20140917 [12]


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Keysight Technologies
Envelope Tracking and Digital
Pre-Distortion Power Amplifier Testing
for LTE User Terminal Components




           Application Note
Introduction

     With the introduction of 4G LTE, mobile communications were able to achieve higher data throughput
     than ever before. However that achievement is accompanied by unprecedented battery requirements
     for mobile terminals. LTE employs the SC-FDMA modulation format in the uplink and it has a higher
     Peak-to-Average Ratio (PAR) than W-CDMA. One of the most power-hungry components of a mobile
     terminal is the power amplifier (PA). As shown in Figure 1, the power level of the LTE uplink signal
     stays relatively low most of the time and goes to peak power only occasionally, but the PA is designed
     to deliver the highest efficiency only at peak power. Since the high power supplied to the PA won't be
     used most of the time, it is mostly dissipated as heat and causes battery drain, impacting the
     thermal design power (TDP) of the mobile terminals. Envelope tracking (ET) has come to the forefront
     as a possible solution for this issue in mobile RF front end design. ET dynamically adjusts DC supply
     voltage based on the "envelope" of the PA input signal and delivers higher voltages only when needed,
     improving battery consumption and heat dissipation in the PA.



         Constant PA supply voltage                             Envelope tracking voltage



                                       Unused energy




     PA input signal         Time                                              Time
     Figure 1. Time domain view of the input signal and bias voltage.


     Another issue facing power amplifiers with high PAR signals, such as LTE, is non-linearity. When a
     high power signal is applied to the PA input, the PA can't linearly amplify the signal, resulting in a
     situation leading to gain saturation and distortion, ultimately leading to signal quality degradation,
     such as higher ACLR and EVM. Techniques such as crest factor reduction (CFR) and/or digital pre-
     distortion (DPD) are used to compensate for the non-linear behavior of the PA. DPD applies "inverse"
     distortion to the PA input signal to cancel the distortion generated by the PA. There are several types
     of DPD methods but a simple look-up-table (LUT)-based DPD that doesn't take memory effect into
     account is commonly used in mobile devices. This application note discusses measurement solutions
     for PA testing using ET and LUT-based DPD.
03 | Keysight | Envelope Tracking and Digital Pre-Distortion Power Amplifier Testing for LTE User Terminal Components - Application Note



       Envelope Tracking Overview

       When testing ET devices, you will need an IQ signal for PA input and the associated
       envelope signal for modulating the PA power supply. The envelope is generated
       from the IQ sample's absolute magnitude, typically with 3x to 6x oversampling
       applied in order to create a smoother waveform. The base sample rate of a 20 MHz
       LTE signal is 30.72 MHz and the envelope's sample rate will be 92.16 MHz for 3x
       oversampling and 184.32 MHz for 6x oversampling. A high sample rate waveform
       generator is required to support these high sample rates. Raw envelope data
       generated from the IQ signal then goes through the shaping table before being
       applied to the ET power supply (ETPS). Typically, the shaping table has a so-called
       "de-troughing" function to avoid having the envelope voltage drop down to 0 V.
       Shaping tables are also used to maximize PA efficiency or to ensure constant gain
       over a wider input power level. This is called "iso-gain". It is not an exaggeration to
       say that ET system performance is defined by the shaping table.

                                                                                          Battery



                  Envelope             Shaping                             Vin       Envelope tracking
                   detector              table                                        power supply
                     |X|                (LUT)                                             (ETPS)




                                                                                                Vcc

                      IQ                                  Upconverter
                                                                           RFin
                                                                                        PA                    RFout


                      Baseband                                                         ET front-end
       Figure 2. Envelope tracking system simplified block diagram.



       ETPS dynamically adjusts the power supply voltage to the PA. As defined in the
       MIPITM Alliance's eTrak standard, most ETPS have differential inputs and therefore,
       the envelope waveform generator must have differential output. ETPS output is
       applied to the PA's supply line. This voltage has to be applied to the PA with precise
       timing relative to the input RF signal. For a 100 RB LTE signal, typically the timing
       alignment between RF and envelope has to be less than 1 ns. Wider bandwidth LTE
       signals, such as carrier aggregation, require even more severe timing control. Rough
       timing adjustments between RF and envelope can be achieved with an oscilloscope
       before connecting to the ETPA and ETPS. However, due to internal delays in the
       ETPS and the RF PA, the final tuning has to be done with the ETPA output using
       parameters such as EVM or ACLR. Precise timing adjustments, down to a fraction of
       a nanosecond, may be required to optimize ET system performance.
04 | Keysight | Envelope Tracking and Digital Pre-Distortion Power Amplifier Testing for LTE User Terminal Components - Application Note



       Keysight's ET test solution
       Keysight Technologies, Inc. offers two envelope tracking signal generation and
       analysis test solution configurations, which are shown in Figures 3a and 3b. The
       one in Figure 3a is made up of benchtop test instruments, while the one in Figure 3b
       is based on PXI test equipment.

       Keysight's N7624/25B Signal Studio for LTE/LTE-Advanced software's envelope
       tracking option enables generation of the envelope waveform from LTE and
       LTE-Advanced IQ waveforms. An arbitrary oversampling ratio of up to 32x can be
       specified for envelope generation (The sample rate is also limited by envelope gen-
       erator). The software's built-in shaping table manager allows for creating, importing
       and selecting multiple shaping tables quickly and easily. Generated IQ and envelope
       waveforms are then downloaded to the RF signal generator and arbitrary waveform
       generator (AWG) directly. The 33600/33500 series AWG can be used as an enve-
       lope waveform generator. After downloading waveforms, it is possible to adjust
       RF and envelope timing with 1 ps resolution in real-time, without re-generating
       the waveforms. This simplifies timing optimization. The 33600/33500 series AWG
       with its 2 ch output configuration supports differential output operation and has
       low wideband noise, making it an ideal function generator that can be connected
       to the ETPS input directly without filtering. Generated IQ and envelope waveforms
       can be saved and used in the other platforms, such as PXI, for higher throughput
       production testing.

       It is also possible to use ET (and DPD) with non-LTE waveforms, such as
       W-CDMA or MATLAB, using the library waveform capability in the
       N7624B/25B Signal Studio software.

       On the analysis side, Keysight's 89600 VSA software can be used with X-Series
       signal analyzers or a PXI VSA, as shown in Figure 3. The 89600 VSA software's
       multi-measurement and powerful graph function enables easy measurement of
       AM-AM, AM-PM and gain compression, by comparing PA input and output signals
       measured alternately a signal analyzer's single input.
05 | Keysight | Envelope Tracking and Digital Pre-Distortion Power Amplifier Testing for LTE User Terminal Components - Application Note



                                                                                                          DC power                89600 VSA software
                                                                                                           supply

           Signal Studio's envelope tracking
                    control window                          33600/33500 series AWG
                                                                                             Envelope

                                                                                                            ETPS



                                                           Trigger
                                                                                      Timing
                                                                                      alignment


                                                                                                  RF
                                                                                                            ETPA

                                                             X-Series signal generator

                                                                                                            DUT                  X-Series signal generator

       Figure 3a. ET signal generation and analysis test system with bench-top test instruments.




                                                                                                            DC power
                                                                                                                                       89600 VSA software
                                                                                                             supply


                                                            33600/33500 series AWG
                                                                                             Envelope
             Reference PA test
                application                                                                                   ETPS


                                                                Trigger
                                                                                     Timing
                                                                                     alignment



                                                                                                   RF
                                                                                                              ETPA


       Signal Studio's envelope tracking                                                                       DUT
                control window
                                                                M9381A PXIe VSG                                                            M9391A PXIe VSA

       Figure 3b. ET signal generation and analysis test system with PXI test instruments.
06 | Keysight | Envelope Tracking and Digital Pre-Distortion Power Amplifier Testing for LTE User Terminal Components - Application Note



       Digital Pre-Distortion Overview

       The LTE uplink signal could have as high as +7 dB PAR which is 2 to 3 dB higher
       than WCDMA/HSPA signals. As discussed earlier, the PA is required to have higher
       linearity to amplify high PAR signals. However, due to the limitations of cost, power
       consumption, and physical space, it is not easy to find higher linearity components
       that meet all of a particular system's requirements. Classic measures of PA linearity
       are AM-AM and AM-PM, comparing the input signal and the PA output signal.
       Figure 4's AM-AM curve shows reasonably linear characteristics with some minor
       deviation. On the other hand, AM-PM shows a relatively large phase shift over the
       range of the input power. If you take curve-fitting data and calculate the inverse
       characteristics to create a linear AM-AM curve and a flat AM-PM curve, the result
       is exactly what is needed for the DPD lookup table data. Figure 5 shows the DPD
       LUT calculation. During evaluation, you can typically repeat this measurement and
       the DPD LUT calculation several times to get optimum performance. This process is
       called DPD closed-loop iteration.




       Figure 4. 89600 VSA software showing AM-AM and AM-PM curves.




            Response (PA output)                   Pre-distortion curve                Ideal (linear response)




                                          +                                    =

       Figure 5. DPD LUT calculation.
07 | Keysight | Envelope Tracking and Digital Pre-Distortion Power Amplifier Testing for LTE User Terminal Components - Application Note



       Keysight's DPD solution overview
       To apply digital pre-distortion, it is necessary to change amplitude and phase, based
       on an IQ sample's magnitude. Signal Studio for LTE supports LUT-based pre-distor-
       tion applied to IQ samples. As with the ET shaping table, multiple look-up-tables
       can be edited, imported, and switched with just a few clicks needed to apply DPD.
       You can also observe how DPD affects IQ samples by looking at a CCDF curve or
       spectrum before and after applying DPD, as shown in Figure 6.




       Figure 6. Signal Studio's digital pre-distortion tool panel.



       To calculate the DPD LUT, compare the non-pre-distorted linear signal and the
       distorted PA output signal, plot the AM-AM and AM-PM curves, and generate curve
       fitting polynomial coefficients. The 89600 VSA software graph capability displays
       AM-AM, AM-PM, and gain compression traces as well as curve-fitting polynomials
       with a user-definable polynomial order up to 12. By taking these coefficients and
       calculating the inverse characteristics, it is possible to generate a DPD LUT that can
       be used in Signal Studio, with spreadsheet tools such as Excel.

       The required measurement bandwidth for acquiring signals will be determined by
       the bandwidth to be optimized. For example, to cover the channel adjacent to a 20
       MHz LTE signal, 60 MHz bandwidth must be available for capture. To cover an alter-
       nate channel, an additional 40 MHz BW would be required, which means 100 MHz
       BW would be needed overall. In case contiguous carrier aggregation is used with
       a 2x 20 MHz LTE carrier, 120 MHz bandwidth would be needed to cover adjacent
       and alternate channels. PXA and MXA X-Series signal analyzers and the M9391A
       PXIe VSA all support a maximum 160 MHz bandwidth, which provides adequate
       bandwidth for analyzing DPD-applied waveforms.
08 | Keysight | Envelope Tracking and Digital Pre-Distortion Power Amplifier Testing for LTE User Terminal Components - Application Note



       Combined use of DPD and ET
       When applying DPD, in order to linearize AM-PM characteristics, the envelope is
       typically generated based on pre-distorted IQ waveforms. This means that at each
       DPD closed-loop iteration, both the pre-distorted IQ and the envelope waveforms
       need to be re-generated based on the updated LUT. Typically, ET will be applied and
       optimized before DPD, so that the DPD closed-loop iteration can be performed to
       compensate for amplitude and phase non-linearity, in order to understand if perfor-
       mance improvements are due to ET or DPD. Signal Studio for LTE and LTE-Advanced
       has integrated GUI support for both ET and DPD, allowing generation of ET-enabled
       DPD waveforms.

             ET/DPD control software




                                                    Signal Studio
                                                                                                                                           PXA signal analyzer


                                                                             33522B
                                                                                                            ETPS+
                                                                                                            ETPA


                                                                        MXG-B




                                                                                                  Polynomial coefficients




                                                                                                                                           89600 VSA software

       Figure 7. Sample software program performing a DPD closed-loop iteration on an ETPA.



       This sample program, ET/DPD control software, shown in Figure 7, controls both
       Signal Studio and 89600 VSA software to extract curve-fitting coefficients of the
       AM-AM and AM-PM graphs, calculates the LUT, and applies digital pre-distortion.
       The process is then repeated for a specified number of iterations. Figure 8 and 9
       show example results with 10 MHz LTE uplink with QPSK modulation applied, 5x
       oversampling for IQ, and 3x oversampling for envelope. The polynomial order is set
       to 5 for both AM-AM and AM-PM. After applying DPD, both AM-AM and AM-PM
       curves are linearized. Figure 9 shows the spectrum of the ET PA output with and
       without DPD. Without DPD, it has approximately 



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