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Slide 1
Digital CommunicationBasic Concept and Definitions, Signals and Systems
Lecture-1
Ir. Muhamad Asvial, MSc., PhDCenter for Information and Communication Engineering Research (CICER)
Electrical Engineering Department - University of IndonesiaE-mail: [email protected]
http://www.ee.ui.ac.id/cicer
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Slide 2
Scope of the course• Communication is a process by which information
is exchanged between individuals through a common system of symbols, signs, or behavior
• Communication systems are reliable, economical and efficient means of communications– Public switched telephone network (PSTN), mobile
telephone communication (GSM, 3G, ...), broadcast radio or television, navigation systems, ...
• The course is aiming at introducing fundamental issues in designing a (digital) communication system
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Slide 3
Scope of the course ...• Example of a (digital) communication systems:
Cellular wireless communication systems
Base Station (BS)
User Equipment (UE)
UE UE
UE
BS
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Slide 4
Scope of the course ...
General structure of a communication systems
Formatter Source encoder
Channel encoder Modulator
Formatter Source decoder
Channel decoder Demodulator
Transmitter
Receiver
SOURCEInfo.
Transmitter
Transmittedsignal
Receivedsignal
Receiver
Receivedinfo.
Noise
ChannelSource User
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Slide 5
Scope of the course …
• Learning fundamental issues in designing a digital communication system (DCS):– Utilized techniques
• Formatting and source coding• Modulation (Baseband and bandpass signaling)• Channel coding• Equalization• Synchronization• ....
– Design goals– Trade-offs between various parameters
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Slide 6
Digital communication system
• Important features of a DCS:– Transmitter sends a waveform from a finite set of
possible waveforms during a limited time
– Channel distorts, attenuates the transmitted signal and adds noise to it.
– Receiver decides which waveform was transmitted from the noisy received signal
– Probability of erroneous decision is an important measure for the system performance
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Slide 7
Digital versus analog• Advantages of digital communications:
– Regenerator receiver
– Different kinds of digital signal are treated identically.
DataVoice
Media
Propagation distance
Originalpulse
Regeneratedpulse
A bit is a bit!
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Slide 8
Classification of signals
• Deterministic and random signals– Deterministic signal: No uncertainty with respect to
the signal value at any time.
– Random signal: Some degree of uncertainty in signal values before it actually occurs.
• Thermal noise in electronic circuits due to the random movement of electrons
• Reflection of radio waves from different layers of ionosphere
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Slide 9
Classification of signals …• Periodic and non-periodic signals
• Analog and discrete signals
A discrete signal
Analog signals
A non-periodic signalA periodic signal
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Slide 10
Classification of signals ..• Energy and power signals
– A signal is an energy signal if, and only if, it has nonzero but finite energy for all time:
– A signal is a power signal if, and only if, it has finite but nonzero power for all time:
– General rule: Periodic and random signals are power signals. Signals that are both deterministic and non-periodic are energy signals.
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Slide 11
Random process
• A random process is a collection of time functions, or signals, corresponding to various outcomes of a random experiment. For each outcome, there exists a deterministic function, which is called a sample function or a realization.
Sample functionsor realizations(deterministic
function)
Random variables
time (t)
Rea
l num
ber
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Slide 12
Random process …
• Strictly stationary: If none of the statistics of the random process are affected by a shift in the time origin.
• Wide sense stationary (WSS): If the mean and autocorrelation function do not change with a shift in the origin time.
• Cyclostationary: If the mean and autocorrelation function are periodic in time.
• Ergodic process: A random process is ergodic in mean and autocorrelation, if
and
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Slide 13
Autocorrelation
• Autocorrelation of an energy signal
• Autocorrelation of a power signal
– For a periodic signal:
• Autocorrelation of a random signal
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Slide 14
Spectral density• Energy signals:
– Energy spectral density (ESD):
• Power signals:
– Power spectral density (PSD):
• Random process:– Power spectral density (PSD):
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Slide 15
Noise in communication systems
• Thermal noise is described by a zero-mean Gaussian random process, n(t).
• Its PSD is flat, hence, it is called white noise.
[w/Hz]
Probability density function
Power spectral density
Autocorrelation function
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Slide 16
Signal transmission through linear systems
– Deterministic signals:– Random signals:
• Ideal distortion less transmission:All the frequency components of the signal not only arrive with an identical time delay, but also are amplified or attenuated equally.
Input OutputLinear system
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Slide 17
Signal transmission … - cont’d• Ideal filters:
• Realizable filters:RC filters Butterworth filter
High-pass
Low-pass
Band-pass
Non-causal!
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Slide 18
Bandwidth of signal• Baseband versus bandpass:
• Bandwidth dilemma:• Bandlimited signals are not realizable!• Realizable signals have infinite bandwidth!
Baseband signal
Bandpass signal
Local oscillator
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Slide 19
Bandwidth of signal …
• Different definition of bandwidth:a) Half-power bandwidthb) Noise equivalent bandwidthc) Null-to-null bandwidth
d) Fractional power containment bandwidthe) Bounded power spectral densityf) Absolute bandwidth
(a)(b)
(c)(d)
(e)50dB