Komunikasi digital minggu 2
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Transcript of Komunikasi digital minggu 2
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Komunikasi Digital
Minggu ke-2
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Pertemuan 2
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ANALOG & DIGITAL MESSAGE
Digital message adalah deretan simbol yang merepresentasikan
informasi
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Digital communication?
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Why digital communication?
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Regenerative repeater in DC
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Blok diagram siskom
Synchronization hanya ada di digital communication
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Digital vs Analog
Advantages:• Digital signals are much easier to be regenerated.• Digital circuits are less subject to distortion and
interference.• Digital circuits are more reliable and can be produced at a
lower cost than analog circuits.• It is more flexible to implement digital hardware.
Disadvantages:• Heavy signal processing.• Synchronization is crucial.• Larger transmission bandwidth
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Himpunan
1. Himpunan Kumpulan objek (sesuatu )2. Objek elemen3. Universal set/ space : setiap himpunan adalah subset
universal set A S4. Null set – set tanpa elemen A5. Union/ sum : u6. Intersection7. Complement8. Difference9. Transitivity10. Equality
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Sample space & probability
• Random experiment: its outcome cannot be predicted with
certainty setiap data pengamatan yang mungkin munsul
dari experimen tersebut.
• Sample space: the set of all possible outcomes .
• Outcome can be mutually exclusive & collectively
exhaustive.
• Events are subsets of the sample space for which measures of
their occurrences, called probabilities, can be defined or
determined himpunan outcome-outcome experiment
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Example:
Various events can be defined: “the outcome is even number of
dots”, “the outcome is smaller than 4 dots”, “the outcome is more
than 3 dots”, etc.
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Himpunan dan probability
Himpunan Probabiltas
Himpunan / Set Event
Universal set / Space S Sample space
Element OutcomeEvent Himpunan outcome dalam experimentSetiap subset sample space adalah eventJumlah outcome : l …I = n
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Three Axioms of Probability
• Ukuran peluang P (.) adalah sebuah fungsi yang memetakan
event-event dalam sample space ke bilangan riil sehingga
memenuhi aksioma-aksioma :
• Aksioma 1 : Untuk setiap event A, P (A) 0
• Aksioma 2 : P (S) = 1
• Aksioma 3 untuk kumpulan terbatas A1,A2,… event-even
mutually exclusive ( outcome tidak muncul bersama).
• Aksioma 1 & 2 Peluang adalah bilangan antara 0 dan 1
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Important Properties of the Probability Measure
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Teorema :
1. Bila event-event A dan B, A B = , maka P (A B ) = ……
2. Bila B = B1 B2 … Bn dan Bj = untu ij, maka P (B) =
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Random Variables
• A random variable is a mapping from the sample space to
the set of real numbers.
• Shall denote random variables by boldface, i.e., x, y, etc.,
• while individual or specific values of the mapping x are
denoted by x(!).
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Random Variable in the Example• There could be many other random variables defined to
describe• the outcome of this random experiment!
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A random variable can be discrete, continuous or mixed.
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• Bit merupakan istilah khas pada sinyal digital. Sebuah bit dapat berupa no; ( 0 ) atau ( 1 ), sehingga kemungkinan nilai untuk sebuah bit adalah 2 buah ( ). Kemungkinan nilai untuk 2 bit adalah sebanyak 4 , berupa 00, 01, 10, 11. Secara umum, jumlah kemungkinan nilai yang terbentuk oleh kombinasi n bit adalah sebesar 2n buah.
Komunikasi digital
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