EEET 0770 Digital Filter Design Digital Filters Design

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EEET 0770 Digital Filter Design การออกแบบตวกรองดจตอล Digital Filters Design Chapter 6 Multirate Signal Processing

EEET 0770 Digital Filter Design การออกแบบตวกรองดจตอล Digital Filters Design Chapter 6 Multirate Signal Processing Asst. Prof. Dr. Peerapol Yuvapoositanon, Ph. D, DIC Department of Electronic Engineering and Graduate School of Electrical Engineering Mahanakorn University of Technology Centre of Electronic Systems and Digital Signal Processing 1

EEET 0770 Digital Filter Design Content • ��������������������� • �������� (Downsampling) ������� (Upsampling) •

EEET 0770 Digital Filter Design Content • ��������������������� • �������� (Downsampling) ������� (Upsampling) • ����� (Decimation ) ��������� (Interpolation) • Centre ����������� of Electronic Systems and Digital Signal Processing ����

EEET 0770 Digital Filter Design Multitrate Signal Processing • ����� Downsampling, Upsampling Decimation Interpolation

EEET 0770 Digital Filter Design Multitrate Signal Processing • ����� Downsampling, Upsampling Decimation Interpolation ��� Oversampling • Downsampling ����������� • Upsampling ��������� zero padding • Oversampling ������������� Nyquist frequency Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design ������ oversampling �� CD ������������ (��� ������� LPF Oversampling

EEET 0770 Digital Filter Design ������ oversampling �� CD ������������ (��� ������� LPF Oversampling Nyquist frequency (fs/2) �������������� (������ ) ����������� Aliasing (������ , �� Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design Quantization • การทำ quantization ����� Noise Centre of Electronic

EEET 0770 Digital Filter Design Quantization • การทำ quantization ����� Noise Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design Signals: 3 Bit Vs 8 Bit 3 Bit Centre

EEET 0770 Digital Filter Design Signals: 3 Bit Vs 8 Bit 3 Bit Centre of Electronic Systems and Digital Signal Processing 8 Bit

EEET 0770 Digital Filter Design Quantization Errors: 3 Bit Vs 8 Bit Centre of

EEET 0770 Digital Filter Design Quantization Errors: 3 Bit Vs 8 Bit Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design Oversampling - Noise shaping ����� noise ��������� Shaper �����

EEET 0770 Digital Filter Design Oversampling - Noise shaping ����� noise ��������� Shaper ����� noise ������ Shaper Noise ��� “������ ” ���������� �� CD ���� MASH (Panasonic) ������� third-order noise shaper Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design ���������� (Bandli ������ downsampling ����������� D ������ alia ������

EEET 0770 Digital Filter Design ���������� (Bandli ������ downsampling ����������� D ������ alia ������ D/A Centre of Electronic Systems and Digital Signal Processing A/D

EEET 0770 Digital Filter Design ��������� D/A ������� �������� aliasing �������� A/D ��� 2�������

EEET 0770 Digital Filter Design ��������� D/A ������� �������� aliasing �������� A/D ��� 2������� Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design ����������������� D =3 ����� y(n) ������� x(n) ( Centre

EEET 0770 Digital Filter Design ����������������� D =3 ����� y(n) ������� x(n) ( Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design Downsampling ����������� D ���� Centre of Electronic Systems and

EEET 0770 Digital Filter Design Downsampling ����������� D ���� Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design ������ downsampling D=2 D=3 dsp_10_2. eps Centre of Electronic

EEET 0770 Digital Filter Design ������ downsampling D=2 D=3 dsp_10_2. eps Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design ������� downsampling D=2 D=3 dsp_10_3. eps Centre of Electronic

EEET 0770 Digital Filter Design ������� downsampling D=2 D=3 dsp_10_3. eps Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design Upsampling Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design Upsampling Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design ������ upsampling I=2 I=3 dsp_10_4. eps Centre of Electronic

EEET 0770 Digital Filter Design ������ upsampling I=2 I=3 dsp_10_4. eps Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design �������� upsampling I=2 I=3 dsp_10_5. eps Centre of Electronic

EEET 0770 Digital Filter Design �������� upsampling I=2 I=3 dsp_10_5. eps Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design ���� “���� ” ������ downsampling ��� upsampling ������ ?

EEET 0770 Digital Filter Design ���� “���� ” ������ downsampling ��� upsampling ������ ? ��������� downsampling ���� sampling ������ Centre of Electronic Systems and Digital Signal Processing

��� sampling ����� D ����������� (aliasing formula) ���� EEET 0770 Digital Filter Design sampling

��� sampling ����� D ����������� (aliasing formula) ���� EEET 0770 Digital Filter Design sampling Centre of Electronic Systems and Digital Signal Processing downsampling

EEET 0770 Digital Filter Design �������� aliasing ��� D=3 ���� aliasing Centre of Electronic

EEET 0770 Digital Filter Design �������� aliasing ��� D=3 ���� aliasing Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design ����� (Decimation) ������ (decimator)= downsampler+������� LPF ����� =1 Centre

EEET 0770 Digital Filter Design ����� (Decimation) ������ (decimator)= downsampler+������� LPF ����� =1 Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design �������� (Interpolation) ��������� (interpolator)= upsampler+�� LPF ����� = �����

EEET 0770 Digital Filter Design �������� (Interpolation) ��������� (interpolator)= upsampler+�� LPF ����� = ����� Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design ������� upsampling ��� Interpolation upsampling Interpolation Centre of Electronic

EEET 0770 Digital Filter Design ������� upsampling ��� Interpolation upsampling Interpolation Centre of Electronic Systems and Digital Signal Processing dsp_10_6. eps

EEET 0770 Digital Filter Design ���������� Compact Disc ����� 64 fs, 1 bit fs,

EEET 0770 Digital Filter Design ���������� Compact Disc ����� 64 fs, 1 bit fs, 20 bit 64 fs, 1 bit 1 -bit Decimation PCM Interpolation. Delta-Sigma ADC filter Recorder filter Modulator front end 64 fs, 1 bit Pulse code modulation ����� (record) Centre of Electronic Systems and Digital Signal Processing Analogue Low pass filter ����� (play

EEET 0770 Digital Filter Design ������������� LPF ���������� =��� ���������� ������ Centre of Electronic

EEET 0770 Digital Filter Design ������������� LPF ���������� =��� ���������� ������ Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design ���������� CD ���� �� DAT (Digital Audio Tape) CD

EEET 0770 Digital Filter Design ���������� CD ���� �� DAT (Digital Audio Tape) CD ������ 44. 1 k. Hz DAT ������ 48 k. Hz ������������������ Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design ������������� fscd= 44. 1 k. Hz LPF f. DAT=48

EEET 0770 Digital Filter Design ������������� fscd= 44. 1 k. Hz LPF f. DAT=48 k. Hz LPF �� �������� 160 ����� �� ������ SACD �������� Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design Super Audio CD 64 fs, 1 bit 1 -bit

EEET 0770 Digital Filter Design Super Audio CD 64 fs, 1 bit 1 -bit ADC front end 64 fs, 1 bit PCM Recorder Pulse code modulation ����� (record) Centre of Electronic Systems and Digital Signal Processing Analogue Low pass filter ����� (play

EEET 0770 Digital Filter Design �������� SACD Centre of Electronic Systems and Digital Signal

EEET 0770 Digital Filter Design �������� SACD Centre of Electronic Systems and Digital Signal Processing

EEET 0770 Digital Filter Design สรป • ��� decimation = downsampling + lowpass •

EEET 0770 Digital Filter Design สรป • ��� decimation = downsampling + lowpass • ��� interpolation = upsampling + lowpass • ������ Decimation ��� Interpolation ��������������������� • ������� SACD ����������� oversampling ���������� Centre of Electronic Systems and Digital Signal Processing