Sinyal dan Sistem Oleh : Bima Sena Bayu D. Teknik Komputer – PENS @2011
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Outline
Sinyal
Sistem
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1. Sinyal
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Sub Bahasan 1. Pendahuluan 2. Klas Klasifi ifikas kasii Sin Sinyal yal 3. Po Powe werr Si Siny nyal al Wa Wakt ktu u Ko Kont ntin inyu yu 4. Op Ope era rasi si Das asar ar Siny nyal al Wak aktu tu Kon onti tin nyu 5. Si Siny nyal al Wa Wakt ktu u Ko Kont ntin inyu yu Pe Peri riod odik ik 6. Sin Sinya yall Wa Wakt ktu u Ko Kont ntin inyu yu Si Sinu nuso soid idal al 7. Repr Repres esen enta tasi si Si Siny nyal al Wa Wakt ktu u Di Disk skri ritt 8. Ben Bentu tuk k Sin inya yall Wak aktu tu Di Disk skri ritt
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(1) Pendahuluan Apakah Sinyal itu? Fungsi dari variabel bebas yang menyampaikan informasi tentang keadaan atau lingkungan dari sistem secara fis isiik.
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(2) (2) Klasi Klasifi fika kasi si Si Siny nyal al
Berdasarkan jumlah variabel bebas Berdasarkan nilai variabel bebas Berd Be rdas asar arka kan n si sifa fatt
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Klasifikasi Sinyal berdasarkan jumlah variabel bebas
Sinyal 1-D
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Klasifikasi Sinyal berdasarkan nilai varria va iab bel bebas ebas
Sin iny yal Waktu Kontinyu
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Klasif Klas ifik ika asi Si Siny nya al berd berda asa sark rka an Sifat Adaa Mod Ad Model el Mat Matem emat atik ik
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(3) (3) Powe Powerr Si Siny nyal al Wakt Waktu u Kontinyu lim 1 t 0+T 2
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(4) Operasi Dasar Sinyal Waktu Kontinyu
Time Shifting Time Reversal
==> y(t) = x(t-T) > y(t) x( t)
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Sistem Dengan dan Tanpa Memory
Sistem dikatakan tanpa memory jika keluarannya untuk setiap harga variabel bebas pada waktu yang diberikan bergantung hanya pada masukan waktu yang sama. Contoh Con toh : y[n]= y[n]=(2x (2x[n] [n]-x -x2[n])2
Sis iste tem m dika dikata taka kan n men engg ggun una aka kan n mem emor ory y ji jika ka si sis ste tem m dapat menahan atau menyimpan informasi i h k b k h
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Sistem Invertibilitas dan Sistem Inversi
Sistem invertibel jika masukan yang tertentu menghasilkan keluaran yang tertentu. Ji Jika sistem invertibel, maka ada sistem inversi yang diseri dengan sistem asli, menghasilkan keluaran yang sama dengan masukan ke siste tem m perta tam ma. x[n]
Sistem
y[n]
Sist Si stem em In Inve vers rsii
w[n]=x[n]
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Kausalitas
Sis isttem adala lah h kausalilittas, jika setiap waktu keluaran hanya tergantung pada harga masukan saat ini dan yang la lalu.
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Stabilitas
Stabilitas merupakan sifat sistem yang dapat merespon masukan kecil menjadi sebuah tanggapan yang tidak menyimpang.
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Invariansi Waktu
Sifat sebuah sistem secara konseptual adalah tetap berdasarkan waktu.
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Linearitas
Sistem lin inie ierr meru rup pakan sistem yang ililik ikii si sifa fatt sisi si si
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Sifat Sistem Linier Sebuah sistem disebut linier jika memenuhi 2 sifat mate ma tema mati tik k:
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Homogeneity Definisi Homogenity, sebuah sistem dikatakan
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Static Linearity and Sinusoidal Fidelity
Homogeneity, additivity, and shift invariance are important because they provide the mathematical basis for defining linear systems. Unfortunately, these properties alone don't provide
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Static Linearity and Sinusoidal Fidelity
An important characteristic of linear systems is how they the y behav behave e with sin sinuso usoids ids,, a proper property ty we will will call call sinusoidal fidelity: If the the inpu inputt to a lin linear ear sys system tem is
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Contoh
Homogeneity
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Additivity
(Adder
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