24-bit/-140 dB THD+N Multi-Channel Audio Async Sample Rate Converter

# RF Simulation Improves 802.11a System Performance

RF Simulation Improves 802.11a System Performance

By Dingqing Lu, Afshin Amini, Cory Edelman, and Jinbiao Xu, CommsDesign.com

March 5, 2002 (8:37 a.m. EST)

URL: http://www.eetimes.com/story/OEG20020218S0034

With wireless LAN (WLAN) popularity continuing to soar, designers must now begin evolving this to the 5-GHz band. Making this leap will not be easy. The IEEE 802.11a system calls for 5-GHz WLAN equipment to operate using an orthogonal frequency division multiplexing (OFDM) modulation scheme. But, to use OFDM in a WLAN environment, precise frequency synchronization must be maintained and tricky frequency offsets must be handled.

To help solve these problems, designers can turn to a frequency synchronization technique that is based on detecting, and compensating for, the carrier frequency offset between the transmitter and the receiver through the use of preambles in the data stream. Also, a channel estimation model can be used to detect and remove the delay spread. Let's explore how.

**The OFDM signal**

In an OFDM transmitter and receiver, as depicted in **Figure 1**, input data is converted from serial to parallel, allocated to a sub carrier, then modulated using linear modulation such as binary phase-shift keying (BPSK), quadrature PSK (QPSK), 16-level quadrature amplitude modulation (16-QAM), or 64-level QAM (64-QAM). The OFDM signal is generated as the inverse Fast Fourier transform (IFFT) of modulated subsymbols.

*Click here for a larger image of Figure 1*

*Figure 1. Functional diagram of an OFDM transmitter and receiver.*

As pointed out by M. Mizoguchi,^{2}, the receive signal of an OFDM system introduces a signal amplitude reduction because there is a phase rotation caused by the carrier frequency offset. Hence, OFDM signals are more sensitive to carrier frequency offset than the single carrier modulation signals. Thus, frequency synchronization is very important.

The issue of frequency synchronization becomes modified in WLAN systems. In these systems, packetized burst signals ar e transmitted without scheduling. Therefore, synchronization must be established burst by burst. The proposed burst structure based on IEEE 802.11a specification (**Figure 2**).^{3}

*Click here for larger image of Figure 2*

*Figure 2. OFDM burst structure. (From IEEE Std. 802.11a-1999 Copyright 1999 IEEE. All rights reserved)*

Figure 2 shows that the OFDM burst actually has four distinct regions. The first is the short preamble (initial training sequence). This is followed by a long preamble (further training sequence) and, finally, by the signal and data symbols. Guard intervals are inserted between each burst section.

**Synchronizing Frequencies**

In order to estimate frequency offset, the first two short preambles are used to compute the coarse carrier frequency offset between transmitted signal and receiving signal based on a maximum likelihood algo rithm. We can assume that the received signal sequence for computing the phase offset is given by:

where *K* is the calculation start point, *M* is the number of one short preamble, with the eighth and ninth short preambles (*t*_{8} and *t*_{9}) used for the phase offset calculation. The correlation can be expressed as follows:

After computing correlation *R*, the phase offset Δθ can be determined by:

and the frequency offset Δƒ can be found by using the following equation:

where *T* is duration of one short preamble (0.8 μs).

To estimat e the carrier frequency offset more accurately, a fine frequency offset estimation is performed using the two long preambles after the coarse frequency offset estimation. Then, a DemuxBurst model, based on both coarse and fine carrier frequency offsets, is used to detect and remove the carrier frequency offset in the receiver.

**Simulation example**

In order to better synchronize frequencies, designers can turn to simulation for help. To illustrate, let's simulate the performance of a power amplifier used in a WLAN system. The purpose of the simulation is to test and verify that the designed power amplifier can meet the WLAN standard.

**Figure 3** shows a simulation template that has been created for simulating a power amplifier for WLAN data transmission.

*Click here for Figure 3*

*Figure 3. Simulation template for configuration of testing and verification of a WLAN power amplifier.*

In this simulation example, the signal source block generating the RF WLAN signal has a hierarchical structure. Thus, users can push into the block and see the lower level structure (**Figure 4**).

*Click here for Figure 4*

*Figure 4. The second level structure for the signal source.*

As can be seen from Figure 4, the second level of the hierarchy includes a baseband source and a RF modulator. A further push into the baseband source reveals the third level of the hierarchy (**Figure 5**). At this level it is clearly seen how the WLAN signal is generated.

*Click here for Figure 5*

*Figure 5. The third level structure of the WLAN signal source.*

To generate a WLAN signal, we will follow the IEEE 802.11a stand ard.^{3}. Specifically, using Annex G of IEEE Std 802.11a-1999, WLAN signals can be generated by the following steps:

- Generate the short training sequence section of the preamble by using W1, W2 and F1 in the lowest branch in Figure 5.
- Generate the long preamble sequence section of the preamble by using W3, W5, and F2 in the third branch in Figure 5.
- Generate the signal field bits, coding, interleaving, modulating, multiplexing with the data section by using B2, convolutional coder, interleaver, and BPSK modulator in the second branch in Figure 5.
- Form the data, scrambling, convolutional coding, interleaving, 16-QAM modulation, and multiplexing with signal section data by using B1, data, scrambler, L1, tail, PuncCoder, interleaver, 16-QAM, and MuxSigandData in the first branch in Figure 5.
- Map the signal and data into frequency domain, then transform from frequency to time by using MuxSym and IFFT buffer, F3 in the first branch in Figure 5.
- F orm the short preamble, long preamble, signal, and data to the OFDM burst by using MuxBurst model.

For systems based on IEEE 802.11a, the error vector between the vector representing the transmitted signal and the vector representing the error-free modulated signal defines modulation accuracy. This magnitude is determined using error vector magnitude (EVM) measurements.

The EVM measurement helps design engineers determine whether root-mean-square (RMS) value of a specific part of the burst does not exceed limits set under the IEEE 802.11a specification.

**Figure 6 ** shows a typical EVM measurement on a power amplifier employed in an 802.11a system.

*Click here for Figure 6*

*Figure 6. WLAN receiver and EVM measurement*

In this figure, EVM is estimated using the following steps:

- The start of frame is detected by using W1 (WLAN_BurstSy nc) in Figure 6.
- The transition from short sequences to channel estimation sequences is detected and fine timing (with one sample resolution) is established by using the WLAN_BurtSync in Figure 6.
- Frequency offsets are estimated by using the WLAN_FreqSync model in Figure 6. The packet is derotated according to estimated frequency offset by using the WLAN_DemuxBurst.
- The complex channel response coefficients are estimated for each subcarrier by using the WLAN_PhaseEst and the WLAN_ChannelEst in Figure 6.
- Each data OFDM symbol is transformed into subcarrier received values, the phase from the pilot subcarriers is estimated, subcarrier values are rotated according to the estimated phase, and each subcarrier value is divided with a complex estimated channel response coefficient by using the WLAN_MuxDataChEst, WLAN_PhaseTrack and WLAN_Equalizer.
- For each data-carrying subcarrier, the closest constellation point is determined and the Euclidean distance from it is calc ulated.

The RMS average of all errors in a packet is calculated using the formula:

where:

*L _{p}* is the length of the packet;

*N*is the number of frames for the measurement; (

_{f}*I*) denotes the ideal symbol point of the

_{0}(i,j,k), Q_{0}*i*

^{th}frame;

*j*

^{th}OFDM symbol of the frame;

*k*

^{th}subcarrier of the OFDM symbol in the complex plane; (

*l(i,j,k), Q(i,j,k)*) denotes the observed point of the

*i*

^{th}frame;

*j*

^{th}OFDM symbol of the frame;

*k*

^{th}is the subcarrier of the OFDM symbol in the complex plane; and

*P*is the average power of the constellation.

_{0}As can be seen from the above calculation procedure, the EVM represents the distance between the measured and expected carrier magnitude and phase at some point in time af ter it has been compensated in timing, amplitude, frequency, phase and DC offset.

**Testing/Verifying Power Amps**

For testing and verifying any power amplifier design, the basic WLAN system design shown in Figure 4 above is employed. Assume that the data is coded by 64-QAM modulator, the pilot signal coded by BPSK, which, along with 10 short preambles and 2 long preambles, are framed as the WLAN signal, as shown in Figure 2 from above. Per the 802.11a OFDM modulation scheme, the framed WLAN signal is routed through a power amplifier and sent to a receiver.

Now let's test and verify an actual WLAN power amplifier to see if it can meet the requirements given by IEEE 802.11a. In the example to follow, we will consider a power amplifier built using two cascaded stages. From circuit-level simulations, the relation between input and output power for the power amplifier is shown in **Figure 7**.

*Click here for Figure 7*

*Figure 7. Output power and gain versus input power for a power amplifier module using two cascaded amplifiers.*

There are two modeling approaches that can be employed for measuring the power amplifier. Under the first approach, an RF/DSP co-simulation can be performed using the circuit envelope simulation for the PA. Under the second approach, which will be discussed here, a behavior timed RF_Gain model is employed to simulate the performance of the power amplifier at the system level.

In this modeling approach, the RF power amplifier's complex input signal *V _{l}(t)* is represented by the in-phase (I) and quadrature (Q) components surrounding its carrier frequency. The output signal is given by:

where *a* denotes the gain of the c omponent as set by the component parameter gain. If the input is a baseband-timed signal, then only the real part of the gain is used. *g _{comp}* denotes the gain compression factor as determined by the gain compression parameters, such as GCType, TOIout, dBc1out, PSat, GCSat and Gcomp. In this example, we will discuss the dbc1out case.

The non-linear characteristics for dBc1 are described in **Figure 8**.

*Click here for Figure 8*

*Figure 8. Output power versus input power for the RF Gain model.*

Based on the non-linear power amplifier characteristic shown in Figure 8, designers can determine the dBc1 value for the power amplifier. So, the RF gain parameter can be specified as shown in **Figure 9**.

*Click here for Figure 9*

*Figure 9: Simulation setup to test and verify the candidate WLAN PA.*

**EVM Measurements on the Power Amp**

Now let's turn to EVM measurements to determine the modulation accuracy of the power amplifier module. Under the 802.11a specification, power amplifiers must deliver modulation rates 6, 12 and 24 Mbps rates when EVM are performed. In a production environment, it should be necessary to measure the EVM only at the highest rate supported. This would be an EVM value of 15.8% for all modems--54 Mbps modems will need to achieve 5.6% EVM; while 36 Mbps modems will need to achieve 11.2% EVM.

**Figure 10 ** displays some EVM test results on the power amplifier module. These EVM values were automatically compared to the IEEE 802.11a standard and the most important final result is shown.

*Click here for Figure 10*

*Figure 10: EVM test results for a power amplifier*< /center>

When looking at channel 36, which features a center frequency of 5180 MHz, the EVM values are within the 11.2% EVM boundary, thus meeting the 802.11a spec However, for Channel 56 and 161, the EVM values exceed the EVM requirements set by 802.11a, thus failing the test.

**ORFS Measurements on the Power Amp**

The output RF spectrum (ORFS) with mask measurement shows the relationship between the frequency offset from the carrier and the power, measured in a specified bandwidth and time, produced by the mobile station due to the effects of modulation. The measurement provides information about distribution of the transmitter's channel spectral energy due to modulation. The test is passed if the RF spectrum does not exceed the limits defined by the mask (blue color). Otherwise, the test is failed.

**Figure 11 ** shows the ORFS with mask measurement for channel 36, corresponding to a channel center frequency of 5180 MHz. The RF spectrum (red line) does not exceed the Mask (blue line ), indicating a successful test result.

*Click here for Figure 11*

*Figure 11. ORFS due to modulation for Channel 36.*

**Figure 12 **shows the ORFS measurement for channel 56, corresponding to a channel center frequency of 5280 MHz. Test results are marginal because a few spectrum lines (red lines) exceed the mask (blue line).

*Click here for Figure 12*

*Figure 12. ORFS due to modulation for Channel 56.*

**Figure 13 ** shows the ORFS measurement for channel 161, corresponding to a channel center frequency of 5805 MHz. The test failed because the RF spectrum (red line) exceeds the Mask (blue line) for much of the plot.

*Click here for Figure 13< /a>*

*Figure 13. ORFS due to modulation for Channel 161.*

**Summary of Results **

The test results described above showed that the power amplifier illustrated in this example will work well in a WLAN system operating on channel 36. However, the same amplifier provides marginal performance when operating on channel 56 and channel 161. Therefore, as by using the simulation methods described above, designers can properly synchronize frequencies and account for offset problem and in turn, optimize WLAN system performance.

*Author's Note: Figure 2 has been reprinted with permission from IEEE Std 802.11a-1999 5 GHz Wireless LAN Copyright 1999, by IEEE. The IEEE disclaims any responsibility or liability resulting from the placement and use in the described manner.*

**References**

- R. V. Nee and R. Prasad,
*OFDM For Wireless Multimedia Communications*, Artech House, 2000. - M. Mizoguchi, T. Onizawa, T. Kumagai, H. Takanashi, M. Morikura, "A Fast Synchronization Scheme for OFDM,"
*ICUPC'98*, IEEE 1998 International Conference on Universal Personal Communications, Vol.1, pp 125-129, 1998. - IEEE Std 802.11a-1999, "Part 11: Wireless LAN Medium Access Control (MAC) and Physical Layer (PHY) specifications: High-speed Physical Layer in the 5 GHz Band," 1999.
- X. Zhao, J. Kivinen and P. Vainikainen, "Tapped Delay Line Channel Models at 5.3 GHz in Indoor Environments,"
*Proceedings of Vehicular Technology Conference Fall 2000*, September 24-28, 2000, Boston. - MGA-82563, Agilent Technologies Datasheet, Nov.1, 1999.

**About the Authors**

**Dingqing Lu **is an R&D scientist with Agilent. He received a MSEE from University of Sichuan, Chengdu, China in1981 and is a senior member of the IEEE. Dingqing can be reached at *dingqing_lu@agilent.com. *

**Afshin Amini** is a product marketing manager at Agilent. He received a BSEE from the University of Wisconsin, Madison and an MSEE from the University of Minnesota-Minneapolis. Afshin can be reached at afshin_amini@agilent.com.

**Cory Edelman** is an applications engineer at Agilent. He holds a BSEE from California State University, Northridge and can be reached at cory_edelman@agilent.com.

**Jinbiao Xu** is a project lead at Agilent's China Software Design Center. He received a BS degree in applied mathematics, and MS and PhD degrees in communication engineering from Xidian University, People Republic of China. Jinbiao can be reached at jin-biao_xu@agilent.com.