FILTER Digital Khairul handono.

Presentasi berjudul: "FILTER Digital Khairul handono."— Transcript presentasi:

1 FILTER Digital Khairul handono

2 Dedicated hardware processor
Frequency Translate Digital Filter 512 Point FFT x(n) X(f) Frequency Translate Digital Filter 1024 Point FFT X(f) Dedicated hardware processor Data Select Filter Select Data Select FFT Select Data Select Data Buffers Digital Filter Data Buffers FFT Data Buffers x(n) X(f) Micro programmable signal processor hardware

3 Programmable Signal Controller Data Storage x(n) Programmable S P Input/ Output X(f) Distributed Programmable Data Storage Data Storage x(n) Input/ Output X(f) Data Communication Controller x(n) Input/ Output X(f) Processing element Processing element

4 Converting analogue signals to digital

5 In the process of measuring the signal, some information is lost.

6 Aliasing

7 The high frequency signal is sampled just under twice every cycle

8 The high frequency signal is sampled twice every cycle

9 Antialiasing

10 The Impulse respons of the reconstruction filter has a clasic :
sin (x)/ x shape

11 Quantisation

12 An analogue signal which is held on the rising edge of a clock signal

13 Block Diagram

14 Spectrum

15 Sistematika Disain Analisis Diskrit Transformasi Z Finite Regst DSP
Linier Sistem Diskrit Infinite Impulse Respons Digital Filter Finite Impulse Respons Digital Filter Multirate DSP FFT DFT Adaptive Filter Disain Digital signal

16 Methodology System Design
Step 1 User/customer driven Develop system level Signal processing Non signal processing System level documentation Requirement specification Interface design specification System Requirements Defiition Step 2 Signal Analysis Step 3 Define input signal Types Parameter Noise sources & distribution Data rates Sisgnal Processing Design Step 4 Resource Analysis Dev SP graphs for each procss Specify primitive operation Initial partitioning Arithmetic analysis Iterative process Results in architecture approach Acceptable No Yes Step 5 Configuration Analysis Final partitioning of process Memory, Control, bandwidth Acceptable Perform resource analysis Configuration HW No Yes

17 Infinite Impulse Response (IIR)
Disain prosedure: Menggunakan formula disain untuk analog yaitu penentuan pole dan zero pada Butterworth, Chebyshev dan Elliptic Formula transformasi bidang frekuensi Transformasi bilinier, dg pemetaan pole pada bidang-s ke pole bidang-z

18 LPF Digital dan Analog

19 HPF LPF BSF BPF

20 Keuntungan Digital Filter
Stabil thd Panas: Perubahan temperatur pada R,C dan L tidak terjadi, karena menggunakan Adders, multipliers, dan sift registers Presisi: akurasi, stabilitas, respons frekw.dg menggunakan processor register. Mudah Penyesuaian: dapat lebih tepat dan dapat diprogram sesuai kebutuhan Kelipatan: dapat dilipatkan untuk mendapatkan rangkaian yang lebih efisien.

21 Kerugian Digital Filter
Bandwidth terbatas: dengan hasil proses sampling dari analog ke digital (A/D converter), bandwidth signal terbatas setengah dari frekuensi sampling. Keterbatasan register: implementasi sistem waktu diskrit pada perangkat keras dengan penggunaan khusus terjadi penurunan performance, karena terbatasnya jumlah bit.

22 Sistem Waktu Diskrit

23 Fungsi Transfer orde-N
Inverse Z-tranforms

24 Lowpass Butterworth Filters

25 Respons Frekuensi

26

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28 Analog Lowpass Chebyshev Filter

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32

33 Analog Lowpass Elliptic Filter

34

35

36 Transformasi Band Frekuensi
Design normalized analog filter of order N Perform Freq. Band Transformation analog to analog Desired Digital Filter Digitize filter Design normalized analog filter of order N Perform Freq. Band Transformation analog to analog Desired Digital Filter Digitize filter

37

38 Transformasi Bilinier

39

40 Pemetaan Frekuensi dari transformasi bilinier

41 Digital Lowpass Filter Disain

42

43

44 Lowpass transfer function

45 LPF First order

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47

48 Butterworth Low Pass Filter
fp = 500 Hz fs = 750 Hz Ap = dB As = 40 dB Ap As fp fs

49 S-plane Pole dan Zero Z-plane Pole dan Zero Zero Pole
No. Real Imaginary Real Imaginary Z-plane Pole dan Zero Zero Pole No. Real Imaginary Real Imaginary

50 Koefisien orde 2 Numerator Denominator
Stage A A B B2 IIR NORMALIZING FACTOR : C0 = STAGE 1 NORMALIZING FACTOR: C1 = STAGE 2 NORMALIZING FACTOR: C2 = STAGE 3 NORMALIZING FACTOR: C3 = STAGE 4 NORMALIZING FACTOR: C4 = STAGE 5 NORMALIZING FACTOR: C5 =

51 Frequency Response

52 Buku Referensi Digital Signal Processing A System Design Approach By: David J Defatta Josepth G Lucas William S Hodkins Digital Signal Processing Principles, Algorithms & Application By: John G Proakis Dimitris G Monolokis

53 Correlation

54 Correlation is a maximum when two signals are similar in shape, and are in phase (or 'unshifted' with respect to each other).

55 Three different types of signal

56 Autocorrelation

57 Cross correlation to identify a signal

58 Convolution

59

60 If one signal is symmetric, convolution and correlation are identical

61 Fourier Transforms

62 FIR

63 FIR design by the window

64 IIR

65 The Z Transform

66 Poles and Zeroes

67 TERIMA KASIH