Difference between revisions of "System-Level Tutorial Lesson 7: Simulating a Frequency-Modulated Continuous-Wave (FMCW) Radar System"

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Tutorial Project: Simulating a Frequency-Modulated Continuous-Wave (FMCW) Radar System

Objective: In this project, you will build a QAM modulator and demodulator pair using virtual blocks and will use them to simulate a communication link.

Concepts/Features: Communication Link Modulator Demodulator Communication Channel Binary Dara Carrier Frequency QAM Modulation

Minimum Version Required: All versions

' Download Link: [1]

What You Will Learn

In this tutorial you will use RF.Spice's black-box virtual blocks to model a Quadrature Amplitude Modulation (QAM) communication system and construct a pair of transmitter and receiver circuits. Then you will use a long lossy transmission line as the channel to connect the transmitter and receiver circuits. You will simulate the transmission of a binary data packet through this communication link.

Overview of the FMCW Radar System

In an FMCW radar system, a chirp signal is launched into the free space using a transmit antenna. A chirp signal is an FM-modulated signal of a known stable frequency whose instantaneous frequency varies linearly over a fixed period of time by a modulating signal. The transmitted signal hits at the target and reflect back to a receive antenna. The frequency difference between the receive signal and the transmit signal increases with delay, and the delay is linear proportional to the range, that is the distance between the radar and the target. Echoes from the target are then mixed with the transmitted signal to produce a beat signal which will give the distance of the target after demodulation.

Ramp waveform.

Exploring FM Modulation

The following is a list of parts needed for this part of the tutorial lesson:

RF.Spice's FM modulator takes an arbitrary input signal and generates a frequency-modulated sinusoidal signal at its output.

Place and connect all the parts as shown in the figure. The DAC conversion bridge generates a pulse train of binary voltage levels 0V and +5V based on the input bit sequence. For the QAM modulator, you will use a 3GHz carrier frequency with a carrier amplitude of 5V. For the signal splitter, you will use the Wilkinson power divider you explored earlier in RF Tutorial Lesson 12. Set the center frequency of the Wilkinson power divider to fc = 3GHz and set its power ratio to K =1 for equal split between the two output ports.

A simple FM modulator circuit.

Run a Transient Test of your modulator circuit with the following parameters:

The results are shown in the figure below. Note that a very small time step ceiling make result in long computation time. Here we have chosen a Step Ceiling of 10ps to speed up the simulation.

The graph of the digital input binary sequence and the analog output voltage of the QAM modulator circuit.

The graph of the digital input binary sequence and the analog output voltage of the QAM modulator circuit.

The graph of the digital input binary sequence and the analog output voltage of the QAM modulator circuit.

The graph of the digital input binary sequence and the analog output voltage of the QAM modulator circuit.

Building and Testing the Demodulator Circuit

The following is a list of parts needed for this part of the tutorial lesson:

In this part of the tutorial lesson, you will build a QAM demodulator circuit. To test your demodulator circuit, you will initially use an AM-modulated voltage source for the input signal. This source is accessible from Menu > Parts > Waveform Generation Blocks > Modulated Waveforms > Single-Tone AM Modulated Source. It represents a sinusoidal baseband signal of frequency f_s modulated on a carrier frequency of f_c. The AM waveform can be expressed as:

[math] y(t) = A_c \left( 1 + m x(t) \right) cos(2\pi f_c t) = A_c \left( 1 + m A_s cos(2\pi f_s t) \right) cos(2\pi f_c t) [/math]

where f_c and f_s are the carrier and signal frequencies, respectively, and m (the MDI parameter) is the modulation index or depth. m = 0 means no modulation, and m = 1 represent full modulation. You are going to feed an AM modulated signal with a signal frequency of 300MHz, a carrier frequency of 3GHz, a carrier amplitude of 15V and a modulation index of m = 1.

Most RF devices in RF.Spice A/D have a center frequency fc parameter that must be specified in GHz. On the other hand, the frequency of analog sources and most virtual blocks has to be specified in Hz.

The property dialog of the AM-Modulated Source.

Place and connect all the parts as shown in the figure below. For the receiver circuit, instead of a Wilkinson power divider, you will use a simpler resistive power divider. Set the lengths of the input and output feed lines to a minimum: len_in = len_out = 2mm. For this part, you will use the "Limiter Block" simply as an amplifier with a gain of 5. For the peak detector block of the receiver circuit, you will use a full-wave bridge rectifier together with a simple RC filter. The analog binary output of this circuit fluctuates between low and high voltage levels. Finally, the Ideal Comparator Block compares the output of the peak detector circuit to a fixed DC voltage of +4V. Set the gain of the comparator to 10. This may also serve as an IF or baseband amplifier. The output of the comparator is converted to a digital output using s ADC bridge.

The schematic of the QAM Demodulator circuit.

Run a Transient Test of your modulator circuit with the following parameters:

The results are shown in the figure below. As you can see from the figure, the voltage signal v(7) at the output of the peak detector (plotted in dark blue) is a good reconstructed replica of the baseband 300MHz sinusoidal signal. Compare this signal to the envelope of the input AM-modulated signal plotted in yellow. You can use the "Delta Line Mode" of the graph window to measure the period or clock rate of the binary output, which is about 3.34ns consistent with the signal frequency of fs = 300MHz.

The graph of the analog input voltage (yellow), output of the QAM block v(4), output of the peak detector v(7) and the digital output of the QAM Demodulator circuit.

Putting the Transmitter and Receiver Together With the Channel

The following is a list of parts needed for this part of the tutorial lesson:

In this part of the tutorial lesson, you will put the QAM modulator and demodulator circuits of the previous parts together with a channel to simulate a communication link. In a wireless system, the channel is the free space between the transmit and receive antennas. One way of modeling the free-space channel in RF.Spice A/D is to use a dependent voltage source at the input of the receiver that is driven by the voltage at the output of the transmitter. The proportionality constant can be set to a very small number representing the free-space path loss. For this project, however, you will use a wired channel or cable represented by a lossy transmission line segment. In that case, the receiver can be directly connected to the output port of the T-Line segment. You will use a TEM line with Z₀ = 50Ω, eeff = 1 and alpha = 0.5dB/m. At a length of 10m, the total single attenuation due to the channel will be 5dB.

You are now ready to put it all together. This time you will send the QAM-modulated output of the transmitter circuit you built earlier through the transmission line channel and will feed it as the input of your receiver circuit. This signal will replace the AM-modulated voltage source you used in the previous section to feed your QAM demodulator circuit. For this part of the project, you will place an Ideal Buffer Block for isolation between the transmission line and the rest of the receiver circuit. The Limiter Block will both amplify and clip the signal from the top and bottom. Set the gain to 5 and set the lower and upper limits of the output voltage to -1V and +1V, respectively. Also define a gain of 5 for the Ideal Full-Wave Rectifier Block.

The property dialog of the Limiter Block.

Place and connect all the parts as shown in the figure below. Note that the part values of the peak detector's lowpass filter have changed from the previous part. Also, the reference voltage of the Ideal Comparator Block has been decreased to 2V.

The schematic of the COMM link including the transmitter and receiver circuits and the cable channel.

As the transmitted signal propagates through the transmission line, besides phase change or time delay, it also gets attenuated by 5dB over its whole length. The QAM-modulated signal signal arrives at the input of the receiver after a time delay equal to:

[math] \Delta t = \frac{L}{c} = \frac{10m}{3\times 10^8 m/s} = 33.3ns [/math]

To plan your Transient Test, keep in mind that the input binary sequence has a total duration of 20ns, of which the last 4ns are zeros (silent). In addition, the channel causes a time delay of 33.3ns. So choose the following parameters to run a Transient Test of your QAM data communications link:

The results are shown in the figure below. The plots in light and dark blue represent the voltage signals at the input and output of the long lossy transmission line. As you can from the figure, the demodulated signal at the digital output represents a fairly good replica of the input binary sequence.

The graph of the digital input and output binary sequences of the QAM Modulator-Demodulator combo circuit, plotted together with the voltages at the input v(6) and output v(7) of the transmission line channel.