![EXPERIMENT 5
To PRACTICE and implement the principles of Analog Modulation Scheme (Amplitude
Modulation) DSB,DSB-SC, SSB on MATLAB and communication module MCM 24/EV and
MCM 25/EV.
Objective:
In amplitude modulation (AM), the message signal is impressed on the amplitude of the carrier
signal. This results in a signal whose amplitude is a function of the message signal.
Introduction:
Forms of AM: AM signals may be of various types such as
1. Conventional double sideband AM (DSB-AM)
2. Double sideband suppressed carrier AM (DSBSC-AM)
3. Single sideband suppressed carrier AM (SSBSC-AM)
4.Vestigial sideband AM (VSBSC-AM)
These different types of amplitude modulation schemes are used for different applications. For
example, conventional double sideband AM is used in radio broadcast, single sideband suppressed
carrier AM is used in analog telephony and vestigial sideband AM is used in TV broadcast.
THEORY
Representation of DSB-AM signal:
Mathematically, a DSB-AM wave can be represented as follows:
Let the carrier signal is denoted by c(t)=Acsin(2πfct) , and the modulating signal is denoted by m(t).
The modulated signal Cm(t) can be written as Cm(t)=Ac(1+m(t))sin(2πfct).
Spectrum of modulated signal:
If M(f) represents the Fourier transform of the modulating signa m(t) ,then the spectrum of the
amplitude modulated signal Cm(t) can be written as
Cm(f)=Ac/2j[δ(f-fc)-δ(f+fc)]+Ac/2j[M(f-fc)-M(f+fc)]
Single tone modulation:
Let us consider a special case when the modulating signal m(t) is given
by m(t)=Amsin(2πfmt) and fm<c
The modulated waveform can be represented as:
Cm(t)=(Ac+Amsin(2πfmt))sin(2πfct)=Ac(1+msin(2πfmt))sin(2πfct)
Here,m is the index of modulation and m≤l is usually used.
The modulated waveform for typical values m=0.5, Ac=2v,fm=1Khz and fm=10Khz is shown in
the figure1 below.
Figure-1:
Amplitude modulated wave
If m>1, the signal is over
modulated and for such cases
the demodulated waveform
will be distorted. Figure 2
shows an over-modulated
AM wave.](https://image.slidesharecdn.com/lab5-c-220203120618/85/Lab-5-c-1-320.jpg)
Lab 5 c
- 1. EXPERIMENT 5 To PRACTICE and implement the principles of Analog Modulation Scheme (Amplitude Modulation) DSB,DSB-SC, SSB on MATLAB and communication module MCM 24/EV and MCM 25/EV. Objective: In amplitude modulation (AM), the message signal is impressed on the amplitude of the carrier signal. This results in a signal whose amplitude is a function of the message signal. Introduction: Forms of AM: AM signals may be of various types such as 1. Conventional double sideband AM (DSB-AM) 2. Double sideband suppressed carrier AM (DSBSC-AM) 3. Single sideband suppressed carrier AM (SSBSC-AM) 4.Vestigial sideband AM (VSBSC-AM) These different types of amplitude modulation schemes are used for different applications. For example, conventional double sideband AM is used in radio broadcast, single sideband suppressed carrier AM is used in analog telephony and vestigial sideband AM is used in TV broadcast. THEORY Representation of DSB-AM signal: Mathematically, a DSB-AM wave can be represented as follows: Let the carrier signal is denoted by c(t)=Acsin(2πfct) , and the modulating signal is denoted by m(t). The modulated signal Cm(t) can be written as Cm(t)=Ac(1+m(t))sin(2πfct). Spectrum of modulated signal: If M(f) represents the Fourier transform of the modulating signa m(t) ,then the spectrum of the amplitude modulated signal Cm(t) can be written as Cm(f)=Ac/2j[δ(f-fc)-δ(f+fc)]+Ac/2j[M(f-fc)-M(f+fc)] Single tone modulation: Let us consider a special case when the modulating signal m(t) is given by m(t)=Amsin(2πfmt) and fm<c The modulated waveform can be represented as: Cm(t)=(Ac+Amsin(2πfmt))sin(2πfct)=Ac(1+msin(2πfmt))sin(2πfct) Here,m is the index of modulation and m≤l is usually used. The modulated waveform for typical values m=0.5, Ac=2v,fm=1Khz and fm=10Khz is shown in the figure1 below. Figure-1: Amplitude modulated wave If m>1, the signal is over modulated and for such cases the demodulated waveform will be distorted. Figure 2 shows an over-modulated AM wave.
- 2. Fig.2 Over-modulated wave Cm(t) can be written as Cm(t)=Acsin(2πfct)+Acmsin(2πfmt)sin(2πfct) = Acsin(2πfct)+Acm/2 cos (2π(fc- fm)t)-Acm/2 cos(2π(fc+fm)t) Thus we find that for a single tone AM, the modulated signal has three frequency components, namely, fc,(fc+fm) and (fc- fm).since Since Cm(t)=(Ac+Amsin(2πfmt))sin(2πfct)=Ac(1+msin(2πfmt))sin(2πfct), the envelope of the carrier has the wave shape of the modulating signal. For the Figure 3, Amax=Ac(1+m) and Amin=Ac(1- m) respectively Figure-3: Envelope variation of amplitude modulated carrier Therefore we can write, Given the sinusoidally modulated wave as shown in Figure 3, the modulation index m can be computed by measuring Amax and Amin The power in the carrier wave component is given by The power in each of the side frequencies is given by The total power P T is given by With m=1, only 25% of the carrier power is present at the side frequencies. The merit of amplitude modulated carrier is the ease with the baseband signal can be recovered. The process of recovery of modulating signal is called demodulation. The demodulation of DSB
- 3. AM signal can be done either by using an envelope detector or by passing the amplitude modulated signal through a non-linear device. In this experiment, we shall consider demodulation using envelope detector. Procedure: 1. Setup the apparatus as per requirement. 2. Insert one wire on frequency as an input. 3. Connect ground of MCM 25ev to the ground of board and +ve to +ve and-ve to -ve of board. 4. Now common the +ve nd -ve of oscilloscope and connect the other probe to different points on MCM trainor to see the different phases of analog modulation on oscilloscope one by one. 5. We will see different types of signals at different phases or points of AM on oscilloscope. Hardware Simulation:
- 4. Simulation Experiment Procedure 1.Vary the carrier signal’s frequency and amplitude and modulating signal’s frequency and amplitude to observe the Amplitude Modulated waveform in time domain and frequency domain. 3.Observe the AM wave for different values of the modulation index. (note that usually the index of modulation m ≤ 1 is used) 4.Also observe the effect setting m>1 which produces overmodulated signal. MATLAB Simulation: 2.Calculate modulation index from m=(Am/Ac) and also from compare both values.
- 6. Result & Conclusion: The study of Analog modulation of DSB & DSB-SC using switching method and by sample and hold circuit has been successfullydone. Precautions: (a). All patch cords should be connected properly. (b). Reading should be taken carefully from CRO.