End-to-End QAM Simulation with RF Impairments and Corrections

Modify the parameters

Run the simulation with MATLAB

Visualize signal constellations and spectra

View the underlying MATLAB code

Generate C code and run the simulation (with a valid MATLAB Coder™ license)

Generate random integers

Modulate with 16-QAM

Root raised cosine (RRC) transmit filter

Pass through an HPA

Apply transmit antenna gain

Apply path loss based on atmospheric condition

Pass the signal through an AWGN channel with RF impairments

Apply receive antenna gain

Remove DC offset

Apply automatic gain control

RRC receive filter

Apply ADC effects

Compensate for I/Q amplitude and phase imbalance

Correct for the Doppler shift

Demodulate 16-QAM

Calculate the bit error rate

Receiver noise temperature in the range [0, 600] K

Doppler error in the range [-3, 3] Hz

DC offset, expressed as a percentage of the maximum signal voltage, in the range [0, 20]

Phase noise in the range [-100, -48] dBc/Hz

I/Q amplitude imbalance in the range [-5, 5] dB

I/Q phase imbalance in the range [-30, 30] degrees

HPA backoff level in the range [1, 30] dB

Quantization error by changing the number of ADC bits in the range of [2 16] bits

Saturation due to ADC full scale voltage in the range of [0.1 2] amplitude units (AUs)

The spectrum of the transmitted signal measured at the output of the transmit RRC filter.

The spectrum of the received signal measured at the input of the receive RRC filter.

The constellation diagram of the received signal.

The constellation diagrams of the HPA input signal.

The constellation diagrams of the HPA output signal

Link gains and losses: Vary the noise temperature between 0 to 290 K (typical) to view the effects on the received signal spectrum analyzer plot. Likewise, change the link distance, atmospheric condition and carrier frequency to view the impact on the received signal spectrum. Changes in the link margin are also reflected in the calculated path loss and Eb/No.

HPA AM-to-AM and AM-to-PM conversion: Vary the HPA Backoff between 30 dB (negligible nonlinearity) to 1 dB (severe nonlinearity). A value of 7 dB corresponds to moderate nonlinearity. View the effects on the spectrum plot, the HPA output constellation, the received signal constellation diagram, and on the bit error rate. Increasing nonlinearity increases spectral regrowth and causes the HPA output constellation to become 'rounder' and rotate. The HPA Backoff parameter can be adjusted while the simulation is executing.

Phase noise: Set the Phase Noise to -48 dBc/Hz (high) and observe the increased variance in the tangential direction in the received signal constellation diagram. This level of phase noise is sufficient to cause errors in an otherwise error-free channel. Set the Phase Noise to -55 dBc/Hz (low) and observe that the variance in the tangential direction has decreased. This level of phase noise does not significantly increase the error rate. Now, set the HPA Backoff level parameter to 7 dB (moderate nonlinearity). Note that even though the moderate HPA nonlinearity and the moderate phase noise do not cause many bit errors when applied individually, they do cause significantly more bit errors when applied together. The Phase Noise parameter can be adjusted only when the simulation is stopped.

DC offset and DC offset correction: Set the DC offset to 10 and disable the DC offset correction by unchecking the DC Offset checkbox. The constellation diagram changes significantly. Re-enable the DC Offset correction and view the received signal constellation diagram and signal spectrum to verify that the DC offset is removed. Both the DC offset and the DC offset correction parameters can be modified during simulation execution.

I/Q imbalance: Disable the Amplitude and phase imbalance box to view the effects of an I/Q imbalance on the received constellation diagram. Modify the amplitude and phase imbalance fields to observe the effects of different values on the received signal constellation diagram. Re-enable the I/Q imbalance correction to verify that the receive constellation aligns with its reference points. These parameters can be modified during execution.

Doppler and Doppler compensation: Set Doppler error to 0.7 Hz and disable the Doppler error correction to show the effect of uncorrected Doppler on the received signal. Note that the BER is close to 0.5. Re-enable the Doppler error correction to correct for the Doppler error. Verify that the BER decreases. These parameters are available only when the simulation is stopped.

ADC Effects: Decrease the number of ADC bits to view the effect of increasing quantization errors on the received signal. Decrease the ADC full scale voltage to impose saturation on the received signal and view its effect on the system performance.

Code Generation: Run the simulation by clicking the Run Generated Code button. The first time this is done, the simulation compiles before executing, which makes the process take longer than it does when simulating with interpreted MATLAB. Change the HPA backoff level and rerun the simulation. Note that the results panel updates very quickly. Now, change the Phase noise and click the Run Generated Code button. The code is recompiled because the phase noise is a nontunable parameter. Enable the Rx constellation option and rerun the simulation. You can see that when the scope is activated, the bit error results accumulate more slowly but the scope updates much faster than it does when running with interpolated MATLAB.

BER estimation: By default, the Number of bit errors parameter is set to Inf so that the effects of the impairments and corrections can be easily visualized on the scopes. For BER estimation, it is typically sufficient to collect 50 to 200 errors; consequently, disable the scopes and change the Number of bit errors parameter from Inf to 100. It is important to leave the modifiable parameters unchanged when the simulation is running to obtain a valid BER estimate.