Dct 6000 09 Qpsk Manual
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Transcript of Dct 6000 09 Qpsk Manual
EDU-LABS DIDACTIC
QPSK Modulator Experiment Module
Chapter 17 : DCT17
User Manual
17-2
Digital and Analog Communication Systems
1. To understand the operation theory of the bit splitter.
2. To understand the operation theory of the balanced modulator.
3. To design the balanced modulator by using MC1496.
4. To understand the methods of measuring and adjusting the
balanced modulator circuit.
In the communication systems, besides PSK modulation that we have
mentioned before, there is another type of modulation, which we called
quadrature phase shift keying (QPSK) modulation. Both PSK and QPSK
modulations use the variation of phase of the carrier to modulate the data
signal. However, the main difference between PSK and QPSK modulations
is PSK modulation uses binary system, which means the phase difference of
the carrier signal is 180° that represents “1” or “0” for the data signal. If the
data signal is not binary system, but M-ary level, then we can use QPSK,
17-1: Curriculum Objectives
17-2: Curriculum Theory
Chapter 17 QPSK Modulator
17-3
8PSK and so on to transmit the data signal more effectively. These types of
modulations just use the phase shift within 360° to represent the M-ary
levels. Therefore, N-bits of data signal can be transmitted at the same time.
This will reduce the transmitted bandwidth and a high transmission rate can
be achieved.
QPSK modulated signal is a system with M = 4 levels, which means 2
bits data will be transmitted at the same time. From the equation (15-1) in
chapter 15, we know that the QPSK modulated signal can be expressed as
]4
)1m2(t[cosA)t(x cQPSKπ
−+ω= ; m = 1, 2, 3, 4 (17-1)
From the above equation, we know that the phase of carrier of the
QPSK modulated signal is distributed to 4/π , 4/3π , 4/5π and 4/7π .
Each phase represents 2 bits data signal as shown in table 17-1. The signal
constellation diagram is shown in figure 17-1.
Expanding equation (17-1), we get
)tsin(]4
)1m2([sinA
)t(cos]4
)1m2([cosA)t(x
c
cQPSK
ωπ
−−
ωπ
−=
(17-2)
17-4
Digital and Analog Communication Systems
Table 17-1 The signal constellation characteristics of quadrature phase shift keying
Phases of QPSK 2 bits inputs
π/4 11
3π/4 10
5π/4 00
7π/4 01
Region 1 Region 2
Region 3 Region 4 Signal Point(10) Signal Point
(11)
Signal Point(00)
Signal Point(01)
)(1 tΦ
)(2 tΦ
Figure 17-1 The signal constellation diagram of QPSK modulation
From equation (17-2), it exits a group of orthogonal functions, which are
t)(cosA)t( c1 ω=Φ (17-3a)
)t(sinA)t( c2 ω=Φ (17-3b)
So, from equation (17-1), QPSK modulated signal can be simplified as
21QPSK ]4
)1m2([sin]4
)1m2([cos)t(x Φ⋅π
−−Φ⋅π
−= (17-4)
Chapter 17 QPSK Modulator
17-5
From the above equation, QPSK modulated signal can be assumed as a
combination of two BPSK modulation signal.
Figure 17-2 is the basic block diagram of the QPSK modulator. From
the block diagram, the input data signal has to be converted to parallel
output by the multiplexer.
BalancedModulator
)(1 tΦ
)(2 tΦ
Multiplexer Σ
I-data
Q-data
I-BPSK
Q-BPSK
DataSignalInput
QPSKModulated
SignalOutput
BalancedModulator
Figure 17-2 The basic block diagram of QPSK modulator
The outputs of the multiplexer are the I-data and Q-data, which will match
with the orthogonal functions and the balanced modulators to obtain the
I-data of BPSK modulation signal (I-BPSK) and Q-data of BPSK
modulation signal (Q-BPSK). These two groups of data will be summed to
produce the QPSK modulated signal.
Figure 17-3 shows the circuit block diagram of QPSK modulator. 2 bits
data (2 bits in a group) is sent to the bit splitter at the same time. These two
groups of data will be split to parallel data. One of them will lead to I
17-6
Digital and Analog Communication Systems
channel to become I-data and the other will lead to Q channel to become
Q-data. The phase of I-data is similar to the carrier of the reference
oscillator, which will be modulated to become I-BPSK. However, the phase
difference between Q-data and the carrier of the reference oscillator is 90°,
which will be modulated to become Q-BPSK. We know that the QPSK
modulator is the combination of two BPSK modulators. Thus, at the output
terminal of the I balanced modulator (I-BPSK), there are two types of
phases will be produced, which are tcos cω+ and tcos cω− . Similarly, at
the output terminal of the Q balanced modulator (Q-BPSK), there are also
two types of phases will be produced, which are tsin cω+ and tsin cω− .
2 bits DataSignal Input
Bit Clock
Q
I
Q Channel
Buffer
BalancedModulator 1
ReferenceCarrier
Oscillator LinearAdder BPF
QPSKOutput
I Channel
Bit Splitter
bf
2/fb
2/fb
2/fb
o90tcos cω
tcos cω
tsin cωV11 +=V10 −=
V11 +=V10 −=
tcos cω±
tsin cω±
1/2
BalancedModulator 2
Phase ShiftLogicLogic
LogicLogic
Figure 17-3 The circuit block diagram of QPSK modulator
When the summer combines these two groups of orthogonal BPSK
modulated signal, there will be four possible phases which are
,tcostsin cc ω+ω+ ,tcostsin cc ω−ω+ tcostsin cc ω+ω− and
tcostsin cc ω−ω− .
Chapter 17 QPSK Modulator
17-7
Figure 17-4(a) is the truth table of the phase output of QPSK
modulation and figure 17-4(b) is the constellation diagram of QPSK
modulation. From figure 17-4 (b), QPSK has four possible signal
constellations with same amplitude and the phase difference is o90 .
Therefore, although the QPSK signal has a o45± deviation during
transmission, the receiver still can demodulate the signal correctly.
Figure 17-5 to figure 17-9 are the details circuit diagrams of each block
of QPSK modulator in figure 17-3. Figure 17-5 shows the bit splitter, which
is comprised by four D-flip flops and one JK flip flop. D-flip flop 1 (DFF1)
and D-flip flop 2 (DFF2) comprise a shift register which its transmission
rate is the same as the data rate. JK flip flop 1 (JKFF1) and XOR gate
comprise an inverter. The objective is to invert the CLK signal, then it will
pass through the capacitor to delay the signal so that the D-flip flop 3 (DFF3)
and D-flip flop 4 (DFF4) are able to convert the serial input to parallel
output, which are I-data and Q-data. The duty cycle of I-data and Q-data are
the double the original data signal, bT2 .
Binary Input
Q I
Phase Output of QPSKModulation Signal
0 00 11 01 1
o135−o45−
o135+o45+
Q Q
Q Q
I I
I I
1 1 1
1
0
0 0 0
tt cc ω+ω+ cossintt cc ω−ω+ cossin
tt cc ω+ω− cossintt cc ω−ω− cossin
tcω− cos
tcω+ sin
tcω+ cos
tcω−sin (a) The truth table of phase output (b) The constellation diagram
Figure 17-4 The truth table and the constellation diagram of QPSK modulator
17-8
Digital and Analog Communication Systems
D Q
CK
CLR
PR
J Q
CK
CLR
PRK
D Q
CK
CLR
PR
D Q
CK
CLR
PR
D Q
CK
CLR
PR
I-Data
Q-Data
+5V
DFF1 DFF2
DFF4JKFF1
DFF3
100 nF
Q Q Q
Q
1C
Q
Data P/I
CLK P/I
Figure 17-5 Bit splitter
Figure 17-6 shows the unipolar to bipolar converter, which is
comprised by 74HCU04, 74HC126, 3904, 3906, DZ1, DZ2, DZ3 and R1 to
R8. The objective of this circuit is to convert the unipolar I-data and
unipolar Q-data to bipolar I-data and bipolar Q-data. After that these
signals will be inputted to pin 1 of MC1496. The operation theory is to
invert the digital signal by inverter (74HCU04) and then pass through two
followers to split the signal into two. These two signals will pass through
the switch, which is comprised by 3904, 3906, DZ1, DZ2, DZ3 and R1 to R8
to convert the unipolar signal to bipolar signal.
Chapter 17 QPSK Modulator
17-9
+5V
10k
10k 1k
1k
1k
1.5k
50
50
U1 U2
U3
Q13906
Q23904
UnipolarData Input
BipolarData
Output
V5−
1R2R 3R
4R
5R 7R
6R 8R
1ZD
2ZD
3ZD
7404 74126
74126
Figure 17-6 The circuit diagram of unipolar to bipolar converter
810
4
1
6
12
514
2 3
+12V
+12V
MC1496
Carrier Signal Input
DataSignalInput
PSKOutput
100
10k10k6.8k
10k2.7k
1k 1k100 3.9k
3.9k
10nF
5.6k
200
10k
10k
0.01uF
0.1uF100 100
10k100k 10nF
100k
500k
1R
2R
4R
3R
6R
5R7R
8R
9R 10R
11R
12R
14R
15R
16R
18R
17R
19R
1VR
2VR
1C
2C
10nF3C
4C
5C
13R
V12−
V12−
741Aµ
Figure 17-7 The circuit diagram of balanced modulator
17-10
Digital and Analog Communication Systems
Figure 17-7 shows the details circuit diagram of balanced modulator.
The balanced modulator is comprised by MC1496. Both the carrier signal
and data signal are single-ended inputs. The carrier signal is inputted at pin
10 and the data signal is inputted at pin 1. The R13 and R14 determine the
gain and the bias current of the circuit, respectively. If we adjust VR1 or the
amplitude of digital signal, we may prevent the modulated signal from
distortion. Then this signal will pass through the filter, which is comprised
by 741Aµ , C3, C5, R17, R18 and R19. The objective is to remove the high
frequency signal in order to obtain the optimum PSK signal.
Figure 17-8 shows the phase shifter, which is used to shift the phase of
carrier signal. This situation will produce a group of orthogonal carrier
signal, which will supply to the balanced modulators of I-channel and
Q-channel. The phase angle (θ ) is related to iR , iC and the frequency of
carrier. The expression is
ii Cf2
)2
(tanR
π
θ
= (17-5)
Figure 17-9 shows the circuit diagram of linear summer. The objective
of the linear summer is to combine the two groups of the orthogonal BPSK
modulation signals to become a QPSK signal.
Chapter 17 QPSK Modulator
17-11
100k
100k
10nF
iC
CarrierInput
Terminal
CarrierOutput
Terminal1C
PhaseAdjustment
1nF
20k uA741iR
1R
2R
Figure 17-8 The circuit diagram of phase shifter
I-BPSK
Q-BPSK
1k
1k
1k
1R
2R
4R
3R330
QPSKOutputuA741
Figure 17-9 The circuit diagram of linear summer
17-12
Digital and Analog Communication Systems
Experiment 1: Bit splitter
1. Refer to figure 17-5 or ETEK DA-2000-09 module.
2. At input terminal of data signal (Data P/I ), input 2.5 V amplitude, 2.5
V offset (i.e. high is 5 V, low is 0 V), 100 Hz frequency and square wave
with 33% duty cycle, i.e. a serial input data streams signal with “100”.
3. At the input terminal of clock signal (CLK P/I ), input 2.5 V amplitude,
2.5 V offset (i.e. high is 5 V, low is 0 V), 300 Hz square wave
frequency.
4. By using oscilloscope, observe on the I-Data output terminal and Q-Data
output terminal of bit splitter, then record the measured results in table
17-1.
5. Change the frequency of data signal to 1 kHz and the frequency of clock
signal to 3 kHz, the others remain the same. By using oscilloscope,
observe on the I-Data output terminal and Q-Data output terminal of bit
splitter, then record the measured results in table 17-1.
6. Change the duty cycle of data signal to 66 %, i.e. a serial input data
streams signal with “110” and the others remain the same. Repeat steps
2 to 5, then record the measured results in table 17-2.
17-3: Experiment Items
Chapter 17 QPSK Modulator
17-13
Experiment 2: QPSK modulator
1. Refer to the circuit block diagram of QPSK modulator in figure 17-3,
then by using the detail circuit diagrams of the each circuit block
diagram from figure 17-5 to figure 17-9, construct the QPSK modulator
or ETEK DA-2000-09 module.
2. At the input terminal of data signal (Data P/I ), input 2.5 V amplitude,
2.5 V offset (i.e. high is 5 V and low is 0 V), 100 Hz frequency, square
wave with 33% duty cycle, i.e. a serial input data streams signal with
“100”.
3. At the input terminal of clock signal (CLK P/I ), input 2.5 V amplitude
and 2.5 V offset (i.e. high is 5 V and low is 0 V) and 300 Hz square
wave frequency.
4. By using oscilloscope, observe on the I-Data output terminal and Q-Data
output terminal of bit splitter, and also the output terminal T1 and T2 of
unipolar to bipolar converter. Then records the measured results in table
17-3. Let kHz1fData = , kHz3fCLK = , repeat the above steps and record
the measured results in table 17-3.
5. At the carrier signal input terminal (Carrier P/I ), input a 500 mV
amplitude and 20 kHz sine wave frequency.
6. By using oscilloscope, observe on the output terminals of I-Carrier and
Q-Carrier of phase shifter, then adjust the variable resistor iVR (or
the “Phase Adjust” of ETEK DA-2000-09 module), so that the phase
difference between I-Carrier and Q-Carrier is 90°, then record the
measured results in table 17-4.
17-14
Digital and Analog Communication Systems
7. By using oscilloscope, observe on the signal output terminal of balanced
modulator 1 (T3), adjust VR1 (or BMR1 of ETEK DA-2000-09 module),
until the waveform without occurring distortion. Then slightly adjust
VR2 (or BMR2 of ETEK DA-2000-09 module) to avoid the asymmetry
of the waveform. Finally record the output signal waveform of the
balanced modulator in table 17-4, which is the I-BPSK modulated
signal.
8. By using oscilloscope, observe on the signal output terminal of balanced
modulator 2 (T4), adjust VR1 (or BMR3 of ETEK DA-2000-09 module),
until the waveform without occurring distortion. Then slightly adjust
VR2 (or BMR4 of ETEK DA-2000-09 module) to avoid the asymmetry
of the waveform. Finally record the output signal waveform of the
balanced modulator in table 17-4, which is the Q-BPSK modulated
signal.
9. By using oscilloscope, observe on the output terminal of linear summer,
which is the combination of I-BPSK and Q-BPSK modulation signals.
Then record the measured results in table 17-4, which is the QPSK
modulated signal.
10. Let kHz1fData = , kHz3fCLK = , repeat step 7 to step 9, then record the
measured results in table 17-4.
11. Change the duty cycle of data signal to 66 %, i.e. a serial input data
streams signal with “110” and the others remain the same. Repeat steps
1 to 10 and by using oscilloscope, observe on the waveform of each
signal output terminal, then record the measured results in table 17-5 and
table 17-6.
Chapter 17 QPSK Modulator
17-15
Table 17-1 Observe on the output signal of bit splitter by changing the frequency of
data signal (The duty cycle of data signal is 33 %).
Data Signal Frequencies 100 Hz 1 kHz
Clock Signal Frequencies 300 Hz 3 kHz
Data Signal
Waveforms
I-Data Output
Terminal of Bit
Splitter
Q-Data Output
Terminal of Bit
Splitter
17-4: Measured Results
17-16
Digital and Analog Communication Systems
Table 17-2 Observe on the output signal of bit splitter by changing the frequency of data signal (The duty cycle of data signal is 66 %).
Data Signal Frequencies 100 Hz 1 kHz
Clock Signal Frequencies 300 Hz 3 kHz
Data Signal
Waveforms
I-Data Output
Terminal of Bit
Splitter
Q-Data Output
Terminal of Bit
Splitter
Chapter 17 QPSK Modulator
17-17
Table 17-3 Observe on the output signal of QPSK modulator by changing the frequency of data signal ( mV500Vc = , kHz20fc = , Duty cycle of data signal is 33 %).
Data Signal Frequencies 100 Hz 1 kHz
Clock Signal Frequencies 300 Hz 3 kHz
Data Signal
Waveforms
I-Data Output
Terminal of Bit
Splitter
Q-Data Output
Terminal of Bit
Splitter
17-18
Digital and Analog Communication Systems
Table 17-3 Observe on the output signal of QPSK modulator by changing the frequency of data signal (Continue) ( mV500Vc = , kHz20fc = , Duty cycle of data signal is 33 %).
Data Signal Frequencies 100 Hz 1 kHz
Clock Signal Frequencies 300 Hz 3 kHz
I-Data Output
Terminal T1 of
Unipolar to
Bipolar Converter
Q-Data Output
Terminal T1 of
Unipolar to
Bipolar Converter
Chapter 17 QPSK Modulator
17-19
Table 17-4 Observe on the output signal of QPSK modulator by changing the frequency of data signal ( mV500Vc = , kHz20fc = , Duty cycle of data signal is 33 %).
Data Signal Frequencies 100 Hz 1 kHz
Clock Signal Frequencies 300 Hz 3 kHz
I-Carrier Output
Terminal of Phase
Shifter
Q-Carrier Output
Terminal of Phase
Shifter
Output Terminal
T3 of Balanced
Modulator 1
(I-BPSK)
17-20
Digital and Analog Communication Systems
Table 17-4 Observe on the output signal of QPSK modulator by changing the frequency of data signal (Continue) ( mV500Vc = , kHz20fc = , Duty cycle of data signal is 33 %).
Output Terminal
T4 of Balanced
Modulator 2
(Q-BPSK)
Output Terminal
of Linear Summer
(QPSK P/O )
Chapter 17 QPSK Modulator
17-21
Table 17-5 Observe on the output signal of QPSK modulator by changing the frequency of data signal ( mV500Vc = , kHz20fc = , Duty cycle of data signal is 66 %).
Data Signal Frequencies 100 Hz 1 kHz
Clock Signal Frequencies 300 Hz 3 kHz
Data Signal
Waveforms
I-Data Output
Terminal of Bit
Splitter
Q-Data Output
Terminal of Bit
Splitter
17-22
Digital and Analog Communication Systems
Table 17-5 Observe on the output signal of QPSK modulator by changing the frequency of data signal (Continue) ( mV500Vc = , kHz20fc = , Duty cycle of data signal is 66 %).
Data Signal Frequencies 100 Hz 1 kHz
Clock Signal Frequencies 300 Hz 3 kHz
I-Data Output
Terminal T1 of
Unipolar to
Bipolar Converter
Q-Data Output
Terminal T1 of
Unipolar to
Bipolar Converter
Chapter 17 QPSK Modulator
17-23
Table 17-6 Observe on the output signal of QPSK modulator by changing the frequency of data signal ( mV500Vc = , kHz20fc = , Duty cycle of data signal is 66 %).
Data Signal Frequency 100 Hz 1 kHz
Clock Signal Frequency 300 Hz 3 kHz
I-Carrier Output
Terminal of Phase
Shifter
Q-Carrier Output
Terminal of Phase
Shifter
Output Terminal
T3 of Balanced
Modulator 1
(I-BPSK)
17-24
Digital and Analog Communication Systems
Table 17-6 Observe on the output signal of QPSK modulator by changing the frequency of data signal (Continue) ( mV500Vc = , kHz20fc = , Duty cycle of data signal is 66 %).
Output Terminal
T4 of Balanced
Modulator 2
(Q-BPSK)
Output Terminal
of Linear Summer
(QPSK P/O )
Chapter 17 QPSK Modulator
17-25
1. What are the basic circuit structures of QPSK modulator and also
explain its operation theory?
2. What is the operation theory of bit splitter?
3. If the data input of bit splitter is 50% duty cycle, what are the output
signals of I-Data output terminal and Q-Data output terminal of bit
splitter?
4. If we need the input phase and output phase to be 90° phase difference,
then what are the values for iR and iC as shown in figure 17-8?
(assume the carrier frequency is 100 kHz)
17-5: Problems Discussion
Table 17-1 Observe on the output of bit splitter by changing the frequency of data signal (The duty cycle of data signal is 33 %) Data Signal Frequencies
100Hz 1kHz
Clock Signal Frequencies
300Hz 3kHz
Data Signal Waveform
I-Data Output Terminal of Bit
Splitter
Q-Data Output Terminal of Bit
Splitter
Table 17-2 Observe on the output signal of bit splitter by changing the frequency of the data signal (The duty cycle of data signal is 66%) Data Signal Frequencies
100Hz 1kHz
Clock Signal Frequencies
300Hz 3kHz
Data Signal Waveform
I-Data Output Terminal of Bit
Splitter
Q-Data Output Terminal of Bit
Splitter
Table 17-3 Observe on the output signal of QPSK modulator by changing the frequency of data Signal (Vc=500mV, fc=20kHz, Duty cycle of data signal is 33%) Data Signal Frequencies
100Hz 1kHz
Clock Signal Frequencies
300Hz 3kHz
Data Signal Waveform
I-Data Output Terminal of Bit
Splitter
Q-Data Output Terminal of Bit
Splitter
Table 17-3 Observe on the output signal of QPSK modulator by changing the frequency of data signal (Vc=500mV, fc=20kHz, Duty cycle of data signal is 33%) Data Signal Frequencies
100Hz 1kHz
Clock Signal Frequencies
300Hz 3kHz
I-Data Output
Terminal T2 of Unipolar to Bipolar Converter
r
Q-Data Output
Terminal T2 of Unipolar to Bipolar Converter
Table 17-4 Observe on the output signal of QPSK modulator by changing the frequency of data signal (Vc=500mV, fc=20kHz, Duty cycle of data signal is 33%) Data Signal Frequencies
100Hz 1kHz
Clock Signal Frequencies
300Hz 3kHz
I-Carrier Output Terminal of Phase Shifter
Q-Carrier Output Terminal of Phase Shifter
Output Terminal T3 of Balanced Modulator 1 (I-BPSK)
Table 17-4 Observe on the output signal of QPSK modulator by changing the frequency of data signal (Vc=500mV, fc=20kHz, Duty cycle of data signal is 33%) Data Signal Frequencies
100Hz 1kHz
Clock Signal Frequencies
300Hz 3kHz
Output Terminal T4 of Balanced Modulator 2 (Q-BPSK)
Output Terminal of Linear Summer (QPSK- O/P)
Table 17-5 Observe on the output signal of QPSK modulator by changing the frequency of data Signal (Vc=500mV, fc=20kHz, Duty cycle of data signal is 66%) Data Signal Frequencies
100Hz 1kHz
Clock Signal Frequencies
300Hz 3kHz
Data Signal Waveform
I-Data Output Terminal of Bit
Splitter
Q-Data Output Terminal of Bit
Splitter
Table 17-5 Observe on the output signal of QPSK modulator by changing the frequency of data signal (Vc=500mV, fc=20kHz, Duty cycle of data signal is 66%) Data Signal Frequencies
100Hz 1kHz
Clock Signal Frequencies
300Hz 3kHz
I-Data Output
Terminal T2 of Unipolar to
Bipolar Converter
Q-Data Output
Terminal T2 of Unipolar to
Bipolar Converter
Table 17-6 Observe on the output signal of QPSK modulator by changing the frequency of data signal (Vc=500mV, fc=20kHz, Duty cycle of data signal is 66%) Data Signal Frequencies
100Hz 1kHz
Clock Signal Frequencies
300Hz 3kHz
I-Carrier Output Terminal of Phase Shifter
Q-Carrier Output Terminal of Phase Shifter
Output Terminal T3 of Balanced Modulator 1 (I-BPSK)
Table 17-6 Observe on the output signal of QPSK modulator by changing the frequency of data signal (Vc=500mV, fc=20kHz, Duty cycle of data signal is 66%) Data Signal Frequencies
100Hz 1kHz
Clock Signal Frequencies
300Hz 3kHz
Output Terminal T4 of Balanced Modulator 2 (Q-BPSK)
Output Terminal of Linear Summer (QPSK- O/P)
EDU-LABS DIDACTIC
QPSK Demodulator Experiment Module
Chapter 18 : DCT18
User Manual
18-2
Digital Communication Systems
1. To understand the operation theory of QPSK demodulation.
2. To design the signal squarer by using MC1496.
3. To understand the methods of measuring and adjusting the
QPSK demodulation circuit.
Figure 18-1 shows the circuit block diagram of QPSK demodulator.
From the diagram, we know that the operation of QPSK demodulator is
similar to PSK demodulation in chapter 16. Both of them use the structure
of the Squaring loop detector, the main difference is just the QPSK
demodulator needs two groups of signal squarer. If let )t(xQPSK as the PSK
modulated signal, then
]4
)1m2(t[cosA)t(x cQPSKπ
−+ω= ; m = 1, 2, 3, 4 (18-1)
Where the corner frequency ( cω ) is constant. When we let this modulation
signal input into the signal squarer 1, then the output signal of signal squarer
2 can be expressed as
18-1: Curriculum Objectives
18-2: Curriculum Theory
Chapter 18 QPSK Demodulator
18-3
PLLSignal
Squarer1
FrequencyDivider
(1/4)
AnalogSwitch
Data SignalOutput
Terminal
QPSK SignalInput
Terminal
Parallel toSerial
Converter
LPFand
Comparator
I O/P
Q O/P
I-Data
Q-Data
PhaseDetector
SignalSquarer
2
Figure 18-1 The circuit block diagram of QPSK demodulation
)t4(cos8Ak
]2
)1m2(t2[cos2AkAk
83
])1m2(t4[cos8Ak
]2
)1m2(t2[cos2AkAk
83
]4
)1m2(t[cosAk
}])t(x)t(x[k{k)t(x
c
43
c
4343
c
43
c
4343
c443
2QPSKQPSKout
ω−
π−+ω+=
π−+ω+
π−+ω+=
π−+ω=
=
(18-2)
From the equation (18-2), k represents the gain of the signal squarer. The
first term is the DC signal, the second term is the output of 2nd harmonic of
the carrier signal ( c2ω ) and the third term is the output of 4th harmonic of the
carrier signal ( c4ω ). From the third term above, we know that the two groups
of signal squarers can remove all the four phases variation of QPSK and the
output of the signal squarer 2 is the four times frequency of the carrier signal.
18-4
Digital Communication Systems
Let the output signal of signal squarer as equation (18-2). Then this
signal will pass through a filter to block the DC signal and the 2nd
harmonic signal. After that by using the PLL, the 4th harmonic sine wave
signal will be converted to square wave and the square wave signal will
pass through a frequency divider to reduce the frequency which equals to
the frequency of carrier signal ( cω ). Then, this signal will pass through the
phase detector, which is used to adjust the phase shift of the QPSK signal.
The objective of phase detector is to control the analog switch for the I
P/O and Q P/O of parallel signal outputs. Then the parallel signals
will pass through the rectifier and comparator, which the parallel I-Data
and Q-Data outputs will be recovered. Finally by using the parallel to
serial converter, the output signals will be recovered to the original data
signal.
Figure 18-2 to figure 18-7 are the details circuit diagram of each block
in figure 18-1. Figure 18-2 is the signal squarer, which is designed by using
MC1496. The input signal passes through R1 and U1, which is the buffer
amplifier. This signal will be inputted to pin 1 and pin 10 of MC1496. The
magnitude of the input signal is controlled by VR1, then adjusting VR1 so
that the output signal of pin 12 will double the frequency of the input signal.
The U3, C4, R15, R16 and R17 comprise a filter. The objective of the filter is to
remove the DC signal and the harmonic signal of the signal squarer. The R11
and R12 determine the gain and the bias current of the circuit, respectively.
Chapter 18 QPSK Demodulator
18-5
Figure 18-3 shows the details circuit diagram of the PLL. The objective
is to convert the output signal of signal squarer 2 to square wave. The phase
of the square wave signal is similar to the phase of the carrier of QPSK. In
figure 18-3, we know that the PLL circuit is comprised by 74HC4046, R1,
R2, R3, C1, C2 and VR1. Then we can control the frequency of voltage
controlled oscillator by adjusting VR1. The free-running frequency is the
output frequency of the square wave signal in figure 18-3.
Figure 18-4 is the frequency divider, which is implemented by using
74HC393. From the circuit, we know that this frequency divider has two
divisors, which are 2 and 4. Pin 3 is used to divide the clock signal by 2. Pin
10 is used to divide the output signal of PLL signal by 4.
1
2 3
45
68
1012
14
U2MC14963
26
7
4
U1
+12V
R1
10k
R2
2k R5
10k
R4
2.7k
R5
100
R6
10k
R7
100
R11
100
R3
1k
R10
1k R13
3.9k
R14
3.9k
R12
10k
R15
10k
R16
680
R17
1k
R19
1k
R18
1k
C1
10nF
C2
100nF
C3
100nF
C4
10nF
C6
10nF
VR1
100k
3
26
7
4
U3
+12V
C5
100nF
+12V
SignalOutput
TerminalSignalInput
Terminal R8 100R9
100
V12−
V12−
V12−
uA741
uA741
Figure 18-2 The circuit diagram of signal squarer
18-6
Digital Communication Systems
VR1
30k
C1
10n
C2
1nF
PCPout1
PC1out2
PCinB3
VCOout45
C1A6
C1B7
GND8VCOin
9SFout10
R1 11R2
12PC2out13PCinA14
Zener 15Vcc 16
74HC4046
R1
3.3K
R2
680
R3
22k
+5V
Sine WaveSignalInput
Square WaveSignalOutput
EN
Figure 18-3 The circuit diagram of PLL
1A1
1CLEAR2
1QA3
1QB4
1QC5
1QD6
GND7
2QD8
2QC9
2QB10
2QA11
2CLEAR12
2A13
Vcc 14U1:74HC393
+5V
Signal InputTerminal
(1/4) SignalOutput
Terminal
Clock SignalInput
Terminal
(1/2) SignalOutput Terminal
Figure 18-4 The circuit diagram frequency divider
Figure 18-5 is the details circuit diagram of phase shifter. This circuit
is used to adjust the phase shift the square wave from frequency divider.
Then the phase shifted square wave is used to detect the phase variation of
the QPSK signal, which will be used to control the analog switch for
parallel I P/O and Q P/O signals. The phase shifter is comprised by
using two 26S02 to adjust the phase of the square wave. Then the two
Chapter 18 QPSK Demodulator
18-7
output square waves will be outputted through port 2 and port 4 of U2,
which is used to detect the phase variation of the QPSK signal. After that
this signal is used to control the analog switch, 74HC4053 for the two
parallel signal outputs, i.e. I P/O and Q P/O .
Figure 18-6 shows the low-pass filter, which is comprised by RC
circuit and the voltage comparator, which is comprised by using 741Aµ
and diode. The objective of this circuit is to recover the parallel output
signals I P/O and Q P/O to parallel output signals of I-Data and
Q-Data.
Figure 18-7 is the circuit diagram of parallel to serial converter. This
circuit is used to convert and recover the parallel I-Data and Q-Data signals
to serial data signals. From figure 18-7, we know that this converter is
comprised by using 74165. The parallel input signal I-Data and Q-Data are
inputted through pin 5 and pin 6. The output serial data signal can be
obtained at pin 9. The required clock signal of this converter is similar to the
clock signal of QPSK modulator. Therefore, we just need to input the clock
signal of the QPSK modulator to the input terminal (pin 2) of the converter.
At this moment the clock signal will pass through a 1/2 frequency divider
and convert to pulse signal which will be sent to pin 1 of 74165.
18-8
Digital Communication Systems
C1 100pF
C2100pF
R1
4.7kR2
100k
Cx1
Rx2
C/D3
I14
/IO56
/Q7
GND8 /Q 9
Q 1011
I1 12C/D 13Rx 14Cx 15Vcc 16
U1:26S02
Signal I/P+5V
+5V
+5V
VR1500k
+5V
+5V
Port1
C3
100pF C4
100pFR3100k
R4
100k
R61k
Cx1
Rx2
C/D3
I14
/IO5
Q6
/Q7
GND8
/Q 9Q 10
/IO 11I1 12
C/D 13Rx 14Cx 15
Vcc 16
U2:26S02
Port1
+5V
+5V
+5V
+5V
Port3
Port3Port4
Port2
R5
1k
+5V
Yo1
Y22
Y3
Y34
Y15
Inhibit6
VEE7
GND8 B 9
A 10X3
11X0
12X 13
X114
X2 15Vcc 16
U3:74HC4053
+5V
Port4Port2
R12
680
R8
680
R7
3.3k
R92.7k
C5
100nF
R11680
R10
680
QPSK I/P
I O/PQ O/P
V12−
Q /IO
Figure 18-5 The circuit diagram of phase shifter
Chapter 18 QPSK Demodulator
18-9
R1
100kC1
10nF
3
26
7
4
U1
+5V
R3
1kC2
10nR2
1k
D1
1N4004Signal Output
Port
Signal InputPort
V5−
uA741
Figure 18-6 The circuit diagram of low-pass filter and voltage comparator
Shift/Load1
CLK2
E3
F4
G5
H6
QH7
GND8
QH9Serial/IP10A11B12C13D14CLK Inhibit15Vcc16
U2:74165
R1
10k C1
1nF
1/2
I-DataQ-Data
+5V
Serial O/P
74HC04C2
1nF
R2
4.7k
Serial SignalOutput Port
Parallel SignalInput Port
Clock SignalInput Port
U1
Figure 18-7 The circuit diagram of parallel to serial converter
18-10
Digital Communication Systems
Experiment 1: Signal squarer and PLL
1. Refer to the circuit block diagram of QPSK demodulator in figure 18-1,
then by using the circuit diagram of signal squarer and PLL in figures
18-2 and 18-3, construct the QPSK demodulator or EDU-LABS DCT-6000-09
module.
2. Adjust VR1 of PLL or PLLR1 of EDU-LABS DCT-6000-09 module until the
free running frequency (fo) of the output terminal (T3) of 74HC4046 is
80 kHz.
3. At the input terminal of QPSK demodulator (QPSK P/I ), input a
carrier signal with 500 mV amplitude and 20 kHz frequency.
4. Adjust VR1 of signal squarer 1 or SSR1 of EDU-LABS DCT-6000-09 module
until the output signal frequency of the output terminal (T1) of signal
squarer 1 is double the carrier frequency, which is 40 kHz. Adjust VR2
of signal squarer 2 or SSR2 of EDU-LABS DCT-6000-09 module until the
output signal frequency of output terminal (T2) of the signal squarer 2 is
four times of the carrier frequency, which is 80 kHz.
5. By using oscilloscope, observe on the output signal waveforms T1 of
signal squarer 1, T2 of signal squarer 2 and T3 of PLL. Then record the
measured results in table 18-1.
18-3: Experiment Items
Chapter 18 QPSK Demodulator
18-11
Experiment 2: QPSK demodulator
1. Refer to the circuit block diagram of QPSK demodulator in figure 18-1,
then by using the detail circuit diagrams of the each circuit block
diagram from figure 18-2 to figure 18-7, construct the QPSK
demodulator or EDU-LABS DCT-6000-09 module.
2. Using the QPSK modulator in figure 17-3 of chapter 17 or EDU-LABS
DCT-6000-09 module, to produce the PSK modulation signal as the
signal source for this experiment.
3. At the data signal input terminal of QPSK modulator (Data P/I ), input
a signal with 2.5 V amplitude, 2.5 V offset (i.e. high is 5 V, low is 0 V),
100 Hz frequency and square wave with 33 % duty cycle, i.e. a serial
input data streams signal with “100”.
4. At the clock signal input terminal of QPSK modulator (CLK P/I ),
input 2.5 V amplitude, 2.5 V offset (i.e. high is 5 V, low is 0 V ) and 300
Hz square wave frequency.
5. At the carrier signal input terminal of QPSK modulator (Carrier P/I ),
input 500 mV amplitude and 20 kHz square wave frequency.
6. Adjust QPSK modulator to obtain the optimum output waveform of
QPSK modulation signal.
7. Adjust VR1 of PLL of QPSK demodulator or PLLR1 of EDU-LABS
DCT-6000-09 module until the free-running frequency of output terminal
(T3) of 74HC4046 is 80 kHz.
18-12
Digital Communication Systems
8. Connect the output signal of QPSK modulator to the input terminal of
QPSK demodulator (QPSK P/I ).
9. Follow the steps in experiment 1 to adjust the signal squarer 1 and
signal squarer 2, so that the output signal T1 is the two times of the
carrier frequency (40 kHz) and the output signal T2 is the four times of
the carrier frequency (80 kHz).
10. Adjust VR1 in figure 18-5 or “Phase Adjust” in EDU-LABS DCT-6000-09
module, until the I-Data and Q-Data can be obtained correctly.
11. By using oscilloscope, observe on the input signal of QPSK, output
signal T1 of signal squarer 1, output signal T2 signal squarer 2, output
signal T3 of PLL 74HC4046, output signal T4 of frequency divider
74HC393, output signal of I-Data, output signal of Q-Data and the
output signal waveform of QPSK demodulator. Then record the
measured results in table 18-2.
12. Change the frequency of data signal to 1 kHz and the frequency of
clock signal to 3 kHz, the others remain the same. Then record the
measured results in table 18-2.
13. Change the duty cycle of data signal to 66 %, i.e. a serial input data
streams signal with “110”, and the others remain the same. By using
oscilloscope, observe on the waveforms of each output terminal and
record the measured results in table 18-3.
Chapter 18 QPSK Demodulator
18-13
Table 18-1 The measured results of the output terminal of signal squarer and PLL
( mV500Vm = , kHz20fc = ).
Test Points Output Signal Waveforms
QPSK
Input Signals
Signal Squarer 1
Output Signal T1
Signal Squarer 2
Output Signal T2
PLL
Output Signal T3
18-4: Measured Results
18-14
Digital Communication Systems
Table 18-2 Observe on the output signal of QPSK demodulator by changing the frequency of data signal ( mV500Vm = , kHz20fc = , Duty cycle of data signal is 33 %).
Data signal frequencies 100 Hz 1 kHz
Clock pulse frequencies 300 Hz 3 kHz
QPSK Input Signals
Signal Squarer 1
Output Signal T1
Signal Squarer 2
Output Signal T2
PLL
Output Signal T3
Chapter 18 QPSK Demodulator
18-15
Table 18-2 Observe on the output signal of QPSK demodulator by changing the frequency of data signal (Continue) ( mV500Vm = , kHz20fc = , Duty cycle of data signal is 33 %).
Data signal frequencies 100 Hz 1 kHz
Clock pulse frequencies 300 Hz 3 kHz
Frequency Divider
Output Signal T4
I-Data
Output Signal
Waveforms
Q-Data
Output Signal
Waveforms
QPSK
Demodulated
Signal Waveforms
18-16
Digital Communication Systems
Table 18-3 Observe on the output signal of QPSK demodulator by changing the frequency of data signal ( mV500Vm = , kHz20fc = , Duty cycle of data signal is 66 %).
Data signal frequencies 100 Hz 1 kHz
Clock pulse frequencies 300 Hz 3 kHz
QPSK Input Signals
Signal Squarer 1
Output Signal T1
Signal Squarer 2
Output Signal, T2
PLL
Output Signal T3
Chapter 18 QPSK Demodulator
18-17
Table 18-3 Observe on the output signal of QPSK demodulator by changing the frequency of data signal (Continue) ( mV500Vm = , kHz20fc = , Duty cycle of data signal is 66 %).
Data signal frequencies 100 Hz 1 kHz
Clock pulse frequencies 300 Hz 3 kHz
Frequency Divider
Output Signal T4
I-Data
Output Signal
Waveforms
Q-Data
Output Signal
Waveform
QPSK
Demodulated
Signal Waveform
18-18
Digital Communication Systems
1. What are the basic circuit structures of QPSK demodulator?
2. What are the functions of the phase shifter in QPSK demodulator?
3. Explain the circuit structure of parallel to serial converter and also the
functions of the parallel to serial converter in QPSK demodulator?
18-5 Problems Discussion
Table 18-1 The measured results of the output terminal of signal squarer and PLL (Vm=500mV, fc=20kHz).
Test Points Output Signal Waveform
QPSK Input Signals
Signal Squarer 1 Output Signal T1
Signal Squarer 2 Output Signal T2
Table 18-1 The measured results of the output terminal of signal squarer and PLL (Vm=500mV, fc=20kHz).
Test Points Output Signal Waveform
PLL Output Signal T3
Table 18-2 Observe on the output signal of QPSK demodulator by changing the frequency of data signal (Vm=500mV, fc=20kHz, Duty cycle of data signal is 33%) Data Signal Frequencies
100Hz 1kHz
Clock Signal Frequencies
300Hz 3kHz
QPSK Input Signals
Signal Squarer 1 Output Signal T1
Signal Squarer 2 Output Signal T2
Table 18-2 Observe on the output signal of QPSK demodulator by changing the frequency of data signal (Vm=500mV, fc=20kHz, Duty cycle of data signal is 33%) Data Signal Frequencies
100Hz 1kHz
Clock Signal Frequencies
300Hz 3kHz
PLL Output Signal T3
Frequency Divider Output Signal T4
I- Data Output Signal Waveform
Table 18-2 Observe on the output signal of QPSK demodulator by changing the frequency of data signal (Vm=500mV, fc=20kHz, Duty cycle of data signal is 33%) Data Signal Frequencies
100Hz 1kHz
Clock Signal Frequencies
300Hz 3kHz
Q- Data Output Signal Waveform
QPSK Demodulated Signal Waveform