Upload
ngotuyen
View
240
Download
7
Embed Size (px)
Citation preview
Infinite Impulse Response (IIR)Infinite Impulse Response (IIR)
Disain prosedure: Menggunakan formula disain untuk analog
yaitu penentuan pole dan zero padaButterworth, Chebyshev dan Elliptic
Formula transformasi bidang frekuensi Transformasi bilinier, dg pemetaan pole
pada bidang-s ke pole bidang-z
KeuntunganKeuntungan Digital FilterDigital Filter
Stabil thd Panas: Perubahan temperatur padaR,C dan L tidak terjadi, karena menggunakanAdders, multipliers, dan sift registers
Presisi: akurasi, stabilitas, respons frekw.dgmenggunakan processor register.
Mudah Penyesuaian: dapat lebih tepat dandapat diprogram sesuai kebutuhan
Kelipatan: dapat dilipatkan untuk mendapatkanrangkaian yang lebih efisien.
KerugianKerugian Digital FilterDigital Filter
Bandwidth terbatas: dengan hasil prosessampling dari analog ke digital (A/Dconverter), bandwidth signal terbatassetengah dari frekuensi sampling.
Keterbatasan register: implementasisistem waktu diskrit pada perangkat kerasdengan penggunaan khusus terjadipenurunan performance, karenaterbatasnya jumlah bit.
TransformasiTransformasi BandBand FrekuensiFrekuensi
Design normalizedanalog filter of
order N
Perform Freq. BandTransformationanalog to analog
Digitizefilter
DesiredDigitalFilter
Design normalizedanalog filter of
order N
Perform Freq. BandTransformationanalog to analog
Digitizefilter
DesiredDigitalFilter
Butterworth Low Pass FilterButterworth Low Pass Filter
fp fs
fp = 500 Hzfs = 750 Hz
Ap
As
Ap = 0.1737 dBAs = 40 dB
SS--plane Poleplane Pole dandan ZeroZero
1 0.00000 0.00000 - 0.1564345 0.9876885No. Real Imaginary Real Imaginary
Zero Pole
2 0.00000 0.00000 - 0.4539906 0.89100653 0.00000 0.00000 - 0.7071068 0.70710674 0.00000 0.00000 - 0.8910066 0.45399055 0.00000 0.00000 - 0.9876884 0.1564344
1 -1.0000 0.00000 + 0.1370099 + 0.844767No. Real Imaginary Real Imaginary
Zero Pole
2 -1.0000 0.00000 + 0.1092149 + 0.6074743 -1.0000 0.00000 + 0.0931414 + 0.4111434 -1.0000 0.00000 + 0.0841441 + 0.2384715 -1.0000 0.00000 + 0.0800774 + 0.078200
Z-plane Pole dan Zero
KoefisienKoefisien ordeorde 22
1 2.00000 1.00000 - 0.2740197 0.7324039Stage A1 A2 B1 B2
Numerator Denominator
2 2.00000 1.00000 - 0.2184297 0.38095283 2.00000 1.00000 - 0.1862828 0.17771394 2.00000 1.00000 - 0.1682881 0.06394865 2.00000 1.00000 - 0.1601547 0.0125276
IIR NORMALIZING FACTOR : C0 = 0.00125STAGE 1 NORMALIZING FACTOR: C1 = 0.11360STAGE 2 NORMALIZING FACTOR: C2 = 0.25799STAGE 3 NORMALIZING FACTOR: C3 = 0.32522STAGE 4 NORMALIZING FACTOR: C4 = 0.36908STAGE 5 NORMALIZING FACTOR: C5 = 0.35624
Frequency ResponseFrequency Response
(100)
(90)
(80)
(70)
(60)
(50)
(40)
(30)
(20)
(10)
-
0
100
200
300
400
500
650
800
950
1100
BukuBuku ReferensiReferensi
Digital Signal ProcessingA System Design Approach By:David J DefattaJosepth G LucasWilliam S Hodkins
Digital Signal ProcessingPrinciples, Algorithms & ApplicationBy: John G Proakis
Dimitris G Monolokis
Correlation is a maximum when two signalsCorrelation is a maximum when two signalsare similar in shape, and are in phaseare similar in shape, and are in phase(or '(or 'unshiftedunshifted' with respect to each other).' with respect to each other).
If one signal is symmetric, convolutionIf one signal is symmetric, convolutionand correlation are identicaland correlation are identical