Calculate Bit Error Rate using BERTool Calculate Bit Error Rate using BERTool Introduction: BERTool is an interactive GUI for analyzing communication systems' bit error rate (BER) performance. Using BERTool you can Generate BER data for a communication system using Plot one or more BER data sets on a single set of axes Fit a curve to a set of simulation data. Send BER data to the MATLAB workspace or to a file for any further processing you might want to perform. Objective: know how to use BERTool to analyse SNR and BER Tool: MATLAB simulation program, Simulink with communication and DSP blocksets. Procedure: 1. Start MATLAB by double-clicking the MATLAB icon 2. Type bertool at the MATLAB prompt to open the BER Analysis Tool. 3. Computing Theoretical BERs Go to the Theoretical tab, set the parameters to reflect the system whose performance you want to analyse. E.g. as above figure. Click Plot. 4. Change the Modulation order parameter to 16, and click Plot. 5. Change the Modulation order parameter to 64, and click Plot. Ya Bao Page 1 Calculate Bit Error Rate using BERTool Tips: To recall which value of Modulation order corresponds to a given curve, click the curve. BERTool responds by adjusting the parameters in the Theoretical tab to reflect the values that correspond to that curve. To remove the last curve from the plot (but not from the data viewer), clear the check box in the last entry of the data viewer in the Plot column. To restore the curve to the plot, select the check box again. Workshop exercises: (a) Plot and compare BER graph of None coding, Hamming coding and Golay coding with QAM-4 modulation, Channel type: AWGN. (b) Plot and compare BER graph of None coding, convolutional coding soft decision and hard decision with QAM-4 modulation, Channel type: AWGN. (c) Plot and compare BER graph of QAM-4, QAM-16, QAM-64 and QAM-256, at None coding, Channel type: AWGN. (d) Set the Eb/No range 0:40 dB. Plot and compare BER graph of AWGN and Rayleigh (fading). 6. Use BERTool in conjunction with Simulink models. Open BERTool and go to the Monte Carlo tab. Click Run. BERTool creates a listing in the data viewer. To fit a curve to the series of points in the BER Figure window, select the box next to Fit in the data viewer. 7. Preparing a Model for Use with BERTool In the MATLAB Command Window, enter: bpskdoc. In the MATLAB Command Window, enter: EbNo = 0; maxNumErrs = 100; maxNumBits = 1e8 Double-clicking to open the AWGN Channel block Set Es/No to EbNo and click OK. In this particular model, Es/No is equivalent to Eb/No because the modulation type is BPSK Open the Error Rate Calculation block. Set Target number of errors to maxNumErrs, set Maximum number of symbols to maxNumBits, and click OK. In the MATLAB Command Window, enter: Simulink. Click Signal Processing Blockset → Signal Processing Sinks, drag Signal To Workspace block in the model and connect it to the output of the Error Rate Calculation block. Ya Bao Page 2 Calculate Bit Error Rate using BERTool Double-clicking the Signal to Workspace block, set Variable name to BER, set Limit data points to last to 1, and click OK. Save the model using the file name bertool_bpskdoc.mdl Open BERTool and go to the Monte Carlo tab. Set parameters on the Monte Carlo tab as shown in the following figure. Click Run. Results will be shown in 5 minutes. 8. To compare these simulation results with theoretical results, go to the Theoretical tab in BERTool and set parameters as shown below. Click Plot. BERTool plots Ya Bao Page 3 Calculate Bit Error Rate using BERTool the theoretical curve in the BER Figure window along with the earlier simulation results. References: MATLAB Help files. Ya Bao Page 4

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# Calculate Bit Error Rate using BERTool