Modulation
process where a message signal changes a carrier signal to be transmitted through a communication channel
Baseband
a system without modulation, the signal goes directly into the channel
Choice of modulation technique depends on
1) Characteristic of the application
2) Channel characteristic
3) Performance of the entire communication system
What do we look at to pick the best modulation technique?
Bandwidth, noise performance, cost/complexity, power efficiency
Channel bandwidth needed for DSB modulation?
2W (2 times the bandwidth of the message signal must be available in the channel)
Double Side Band Modulation process
Multiple the message signal by a carrier signal for transmission
Multiple the received signal by a copy of the carrier signal and low pass filter to get the original message signal back
Coherent demodulation
Techniques to generate the coherent demodulation
carrier necessary for the demodulation of DSB signals
Square the received
DSB signal
Costas Phase-Locked
Loop
Modulation
the systematic variation of some attribute
of the carrier, such as amplitude, phase, or frequency, in accordance with a function of the message signal
reasons for using a carrier
(1) for ease of radiation, (2) to reduce noise and interference, (3) for channel assignment,
(4) for multiplexing or transmission of several messages over a single channel, and (5) to
overcome equipment limitations
linearly modulated carrier
π₯π (π‘) = π΄(π‘) cos(2πππ π‘)
DSB modulated signal
π₯π (π‘) = π΄ππ(π‘) cos(2πππ π‘)
Spectrum of DMB modulated signal
ππ (π) = 1/2π΄ππ(π + ππ ) + 1/2π΄ππ(π β ππ )
Amplitude modulated signal
π₯π (π‘) = π΄π [1 + πππ(π‘)] cos(2πππ π‘)
Normalized message signal
ππ(π‘) = π(π‘)/|min[π(π‘)]|
Envelope detection time constant
The appropriate value for the
time constant is related to the carrier frequency and to the bandwidth of π(π‘). In practice,
satisfactory operation requires a carrier frequency of at least 10 times the bandwidth of π(π‘),
which is designated π . Also, the cutoff frequency of the RC circuit must lie between ππ and
π and must be well separated from both