Amplitude and Phase Modulation Examples
These examples demonstrate amplitude and phase modulation techniques.
Apply APSK Modulation Modifying Symbol Ordering
Plot APSK constellations for Gray-coded and custom-coded symbol mappings.
Define vectors for modulation order and PSK ring radii. Generate bit data for constellation points.
M = [8 8]; modOrder = sum(M); radii = [0.5 1.5]; x = 0:modOrder-1;
apskmod function assumes the single channel binary input is left-MSB aligned and specified column-wise. Use the
int2bit function to express the integer input symbols as a single column binary vector.
xBit = int2bit(x,log2(modOrder));
Apply APSK modulation to the data using the default phase offset. Since element values for
M are equal and element values for phase offset are equal, the symbol mapping defaults to
'gray'. Plot the constellation using binary input to highlight the Gray-coded nature of the constellation mapping.
y = apskmod(xBit,M,radii,PlotConstellation=true,InputType='bit');
Create a custom-coded symbol mapping vector. This custom mapping happens to be another Gray-coded mapping.
cmap = [0;1;9;8;12;13;5;4;2;3;11;10;14;15;7;6];
Apply APSK modulation with a custom-coded symbol mapping. Plot the constellation using binary input to highlight that the custom mapping defines different Gray-coded symbol mapping.
z = apskmod(xBit,M,radii, ... SymbolMapping=cmap, ... PlotConstellation=true, ... InputType='bit');
Demodulate MIL-STD-188-110C Specific 64-QAM Signal
Demodulate a 64-QAM signal that was modulated as specified in MIL-STD-188-110C. Compute hard decision bit output and verify that the output matches the input.
Set the modulation order and generate random bit data.
M = 64; numBitsPerSym = log2(M); x = randi([0 1],1000*numBitsPerSym,1);
Modulate the data. Use name-value pairs to specify bit input data and to plot the constellation.
txSig = mil188qammod(x,M,'InputType','bit','PlotConstellation',true);
Demodulate the received signal. Compare the demodulated data to the original data.
z = mil188qamdemod(txSig,M,'OutputType','bit'); isequal(z,x)
ans = logical 1
Plot Noisy DVB-S APSK Constellation using Simulink
Apply DVB-S APSK modulation to random data symbols, pass the modulated signal through an AWGN channel, and then plot the signal constellation.
slex_dvbs_apsk_mod model is configured for the S2 standard suffix and modulation order 16. For you to get desired results, all blocks in the model must align their configuration to the same modulation order. To set the modulation order for the DVBS-APSK Modulator Baseband block, select a value from the dropdown list in the block mask. The set of modulation orders available varies depending on the DVB standard suffix parameter setting. The
InitFcn callback defines the workspace variable,
M = 16, and this variable is used to set the:
The Constellation Diagram block has the Reference constellation parameter set to Custom and the Custom value parameter set to align with the modulator block's modulation setting. To see the values, open Reference Constellation in the Plot tab on the Constellation Diagram window.
Run the model with the EbN0 of the AWGN channel block set to 20 dB, and then view the constellation diagram.
Change the EbN0 of the AWGN channel block to 10 dB. Run the model and observe the increase in noise shown in the plotted constellation diagram.
You can try running the model with a different modulation order. To adjust the modulation order, you must align the:
Modulation order setting in the DVBS-APSK Modulator Baseband block
Value of the workspace variable
Reference constellation in the Constellation Diagram block
If these parameters are not aligned with each other, the reference constellation and input signal do not produce the desired constellation.
Demodulate Noisy 16-APSK Signal Using Simulink
Apply 16-APSK modulation to a signal of random data. Pass the modulated signal through an AWGN channel. Demodulate the noisy 16-APSK signal. Check the bit error rate (BER).
slex_16apsk_mod model passes a 16-APSK modulated signal through an AWGN channel, demodulates the signal and then comuptes the error rate statistics. The example reports the bit error rate (BER) at two EbN0 settings.
Run the model with the EbN0 of the AWGN channel block set to 6 dB. The results are saved to the base workspace variable
ErrorVec in a 1-by-3 row vector. The first element contains the BER.
With EbN0 set to 6 dB, BER: 0.164
Change the EbN0 of the AWGN channel block to 10 dB. Run the model and observe the decrease in BER.
With EbN0 set to 10 dB, BER: 0.012
- Raised Cosine Transmit Filter | Raised Cosine Receive Filter | M-APSK Modulator Baseband | M-APSK Demodulator Baseband | DVBS-APSK Modulator Baseband | DVBS-APSK Demodulator Baseband | MIL-188 QAM Modulator Baseband | MIL-188 QAM Demodulator Baseband