1 EEET 0485 Digital Signal Processing CESd SP

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1 EEET 0485 Digital Signal Processing ��������� ผศ. ดร. พระพล ยวภษตานนท ภาควชาวศวกรรมอเลกทรอนกส CESd. SP

1 EEET 0485 Digital Signal Processing ��������� ผศ. ดร. พระพล ยวภษตานนท ภาควชาวศวกรรมอเลกทรอนกส CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -1

Course Outline 1 Introduction and Applications of DSP 2 Discrete-time signals and systems 3

Course Outline 1 Introduction and Applications of DSP 2 Discrete-time signals and systems 3 Discrete-time Fourier Transform (DTFT) 4 Z-transform 5 Discrete Fourier Transform (DFT) 6 Fast Fourier Transform (FFT) 7 Digital Filter Structure 8 Finite Impulse Response (FIR) filter 9 Infinite Impulse Response (IIR) filter 10 Multi-rate signal processing CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -2

���� • ตำราหลก CESd. SP • ตำราประกอบ EEET 0485 Digital Signal Processing http: //embedsigproc.

���� • ตำราหลก CESd. SP • ตำราประกอบ EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -3

���� • คะแนนปฏบต (lab) 40% • คะแนนสอบปลายภาค 60% CESd. SP EEET 0485 Digital Signal

���� • คะแนนปฏบต (lab) 40% • คะแนนสอบปลายภาค 60% CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -4

Course Website • http: //embedsigproc. wordpress. com/d sp-lecture-page/ CESd. SP EEET 0485 Digital Signal

Course Website • http: //embedsigproc. wordpress. com/d sp-lecture-page/ CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -5

INTRODUCTION AND APPLICATIONS OF DSP CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc.

INTRODUCTION AND APPLICATIONS OF DSP CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -6

DSP Timeline Analog Systems and Mechanical Devices Digital Computers Simulate Signal Before implementation 1950

DSP Timeline Analog Systems and Mechanical Devices Digital Computers Simulate Signal Before implementation 1950 CESd. SP Cooley and Tukey IC Technology rediscovered Fast advancements led Fourier Transform to fast fixed-point DSP 1965 EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon 1980 DSP 1 -8

DSP Applications • • • Communications Biomedical Imaging Robotics Industry Entertainment Military CESd. SP

DSP Applications • • • Communications Biomedical Imaging Robotics Industry Entertainment Military CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -9

Transmitted and Received Sine Radar Signal • สญญาณสงไป รปคลน 1 • สญญาณทรบไดโ ดยไมม Noise

Transmitted and Received Sine Radar Signal • สญญาณสงไป รปคลน 1 • สญญาณทรบไดโ ดยไมม Noise ������� ������� (������������ CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -11

Transmitted and Received Sine Radar Signal • สญญาณสงไป รปคลน 1 • สญญาณทรบไดโดยไ มม Noise

Transmitted and Received Sine Radar Signal • สญญาณสงไป รปคลน 1 • สญญาณทรบไดโดยไ มม Noise ������� ������� (������������ CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -12

Correlation • การทำ Correlation คอการหา ความคลายกน ของสองสญญาณ • สญลกษณ ของการ Correlation คอ • การกระทำ

Correlation • การทำ Correlation คอการหา ความคลายกน ของสองสญญาณ • สญลกษณ ของการ Correlation คอ • การกระทำ คอ การคณและบวก (หรอ Integration) A C B CESd. SP = A X B EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -13

Detected Radar Signal No Noise • เราใช Correlation ในการกำหนดระยะทางจากการสะทอนของสญญาณ เรดาร กรณไมม Noise A B

Detected Radar Signal No Noise • เราใช Correlation ในการกำหนดระยะทางจากการสะทอนของสญญาณ เรดาร กรณไมม Noise A B CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -14

Detected Radar Signal With Noise • ผลลพธของการทำ Correlation คอ การทราบวาตำแหนงสงสด คอ ตำแหนง delay กรณไมม

Detected Radar Signal With Noise • ผลลพธของการทำ Correlation คอ การทราบวาตำแหนงสงสด คอ ตำแหนง delay กรณไมม Noise A C B CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -16

DSP Processor Application • ". . . development time was greatly reduced by using

DSP Processor Application • ". . . development time was greatly reduced by using the graphical programming environment offered by the Lab. VIEW Embedded Module for Blackfin Processors and the high processor performance of the Blackfin processor" • Pom Yuan Lam Lecturer http: //www. analog. com/en/embedded-processing-dsp/blackfin/processors/customer-casestudies/lifesaving_spider_robots_on_the_move/resources/fca. html Nanyang Polytechnic in Singapore CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -17

DSP Processor Application • That's why now, when Fishman has a digital product, we

DSP Processor Application • That's why now, when Fishman has a digital product, we are using Blackfin. No other processor we compared could match the power efficiency. " – David Fournier, Director of Product Development, Fishman CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -18

DSP Processor Application • ". . . This high-level approach with ready-to-use mathematical analysis

DSP Processor Application • ". . . This high-level approach with ready-to-use mathematical analysis blocks and graphical multitasking enabled the designers to deal with high levels of system complexity, and move to the next level of digital embedded design" • - Marco Schmid Engineering CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -19

DSP Processor Application http: //www. analog. com/en/embedded-processing-dsp/blackfin/processors/customer-casestudies/Schmid_Engineering_Rail_Monitor/resources/fca. html CESd. SP • ". . .

DSP Processor Application http: //www. analog. com/en/embedded-processing-dsp/blackfin/processors/customer-casestudies/Schmid_Engineering_Rail_Monitor/resources/fca. html CESd. SP • ". . . This high-level approach with ready-to-use mathematical analysis blocks and graphical multitasking enabled the designers to deal with high levels of system complexity, and move to the next level of digital embedded design" • - Marco Schmid Engineering EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -20

Image Processing ��������� Apollo ������������ Image Processing ����������������������������� sharpening ����� (crator) ��������� CESd. SP

Image Processing ��������� Apollo ������������ Image Processing ����������������������������� sharpening ����� (crator) ��������� CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -21

Image Processing: X-Ray Imaging CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress.

Image Processing: X-Ray Imaging CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -22

CT Scanner Development Computed Tomography, Thorsten M. Buzug CESd. SP EEET 0485 Digital Signal

CT Scanner Development Computed Tomography, Thorsten M. Buzug CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -23

Modern CT Imaging Computed Tomography, Thorsten M. Buzug CESd. SP EEET 0485 Digital Signal

Modern CT Imaging Computed Tomography, Thorsten M. Buzug CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -24

Magnetic Resonance Imaging (MRI) • เปนเครองมอสำหรบถายภาพอวยวะภายใน ของมนษยโดยไมตองอาศยการผาตด CESd. SP EEET 0485 Digital Signal Processing

Magnetic Resonance Imaging (MRI) • เปนเครองมอสำหรบถายภาพอวยวะภายใน ของมนษยโดยไมตองอาศยการผาตด CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -25

MRI Principle CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst.

MRI Principle CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -26

Basic of MRI CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com

Basic of MRI CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -27

Ultrasound Imaging CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst.

Ultrasound Imaging CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -28

Ultrasound Transducer CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst.

Ultrasound Transducer CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -29

2 -D Ultrasound Imaging CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress.

2 -D Ultrasound Imaging CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -30

3 -D Ultrasound Scanner CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress.

3 -D Ultrasound Scanner CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -31

3 -D Ultrasound Imaging CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress.

3 -D Ultrasound Imaging CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -32

Image Processing: Geographical CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com

Image Processing: Geographical CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -33

Image Processing: Restoration CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com

Image Processing: Restoration CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -34

Image Processing: Resampling CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com

Image Processing: Resampling CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -35

Pattern recognition CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst.

Pattern recognition CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -36

Image Processing: Fault Detection CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress.

Image Processing: Fault Detection CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -37

Classification CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof.

Classification CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon Classification, Parameter Estimation and State Estimation, F. van der Heijden Et al. DSP 1 -38

Classification Process CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst.

Classification Process CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -39

Quality Inspection CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst.

Quality Inspection CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -40

��������� (Towed array sensor) ����������� SONAR (Sound navigation and ranging) �������� ��������������������������� DSP 1

��������� (Towed array sensor) ����������� SONAR (Sound navigation and ranging) �������� ��������������������������� DSP 1 -41 ������ CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon

Bow array assembly for Seawolf submarine (SSN-21) CESd. SP EEET 0485 Digital Signal Processing

Bow array assembly for Seawolf submarine (SSN-21) CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -42

CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr.

CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -43

A mid-frequency cylindrical array on the bow of a surface ship CESd. SP EEET

A mid-frequency cylindrical array on the bow of a surface ship CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -44

CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr.

CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -45

CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr.

CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -46

CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr.

CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -47

Microphone Array MULTIRATE STATISTICAL SIGNAL PROCESSING, Omid S. Jahromi CESd. SP EEET 0485 Digital

Microphone Array MULTIRATE STATISTICAL SIGNAL PROCESSING, Omid S. Jahromi CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -48

DSP in Robotics CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com

DSP in Robotics CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -50

Robot Localisation Probabilistics Robots Sebastian THRUN Wolfram BURGARD Dieter FOX CESd. SP EEET 0485

Robot Localisation Probabilistics Robots Sebastian THRUN Wolfram BURGARD Dieter FOX CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -51

Robot Localisation t=0 Excerpted from “A brief Introduction to Particle Filters”, Michael Pfeiffer, http:

Robot Localisation t=0 Excerpted from “A brief Introduction to Particle Filters”, Michael Pfeiffer, http: // www. igi. tugraz. at/pfeiffer/documents/particlefilters. pdf CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -52

Robot Localisation t=1 Excerpted from “A brief Introduction to Particle Filters”, Michael Pfeiffer, http:

Robot Localisation t=1 Excerpted from “A brief Introduction to Particle Filters”, Michael Pfeiffer, http: // www. igi. tugraz. at/pfeiffer/documents/particlefilters. pdf CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -53

Robot Localisation t=2 Excerpted from “A brief Introduction to Particle Filters”, Michael Pfeiffer, http:

Robot Localisation t=2 Excerpted from “A brief Introduction to Particle Filters”, Michael Pfeiffer, http: // www. igi. tugraz. at/pfeiffer/documents/particlefilters. pdf CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -54

Robot Localisation t=3 Excerpted from “A brief Introduction to Particle Filters”, Michael Pfeiffer, http:

Robot Localisation t=3 Excerpted from “A brief Introduction to Particle Filters”, Michael Pfeiffer, http: // www. igi. tugraz. at/pfeiffer/documents/particlefilters. pdf CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -55

Robot Localisation t=4 Excerpted from “A brief Introduction to Particle Filters”, Michael Pfeiffer, http:

Robot Localisation t=4 Excerpted from “A brief Introduction to Particle Filters”, Michael Pfeiffer, http: // www. igi. tugraz. at/pfeiffer/documents/particlefilters. pdf CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -56

Robot Localisation t=5 Excerpted from “A brief Introduction to Particle Filters”, Michael Pfeiffer, http:

Robot Localisation t=5 Excerpted from “A brief Introduction to Particle Filters”, Michael Pfeiffer, http: // www. igi. tugraz. at/pfeiffer/documents/particlefilters. pdf CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -57

Rhino: Guide Tour Robot Probabilistics Robots Sebastian THRUN Wolfram BURGARD Dieter FOX CESd. SP

Rhino: Guide Tour Robot Probabilistics Robots Sebastian THRUN Wolfram BURGARD Dieter FOX CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -58

Mobile Communications • ระบบโทรศพทเคลอนท • สญญาณวงผาน Channel • เรยก channel แบบมหลายๆ เสนทางวา Multipath channel

Mobile Communications • ระบบโทรศพทเคลอนท • สญญาณวงผาน Channel • เรยก channel แบบมหลายๆ เสนทางวา Multipath channel CESd. SP 1 2 EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com DSP 1 -59

���������� • เราโมเดลชองทางสอสารดวยระบบ FIR Multipath Channel (FIR) CESd. SP EEET 0485 Digital Signal Processing

���������� • เราโมเดลชองทางสอสารดวยระบบ FIR Multipath Channel (FIR) CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -60

Equalisation • ตวปรบแตงสญญาณทำหนาท “ดด ”สญญาณกลบคน Multipath Channel CESd. SP Equaliser EEET 0485 Digital Signal

Equalisation • ตวปรบแตงสญญาณทำหนาท “ดด ”สญญาณกลบคน Multipath Channel CESd. SP Equaliser EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -61

��������� (Equaliser) CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst.

��������� (Equaliser) CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -62

Training bits for GSM CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress.

Training bits for GSM CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -63

��������� CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof.

��������� CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -64

Seismographic Earthquake CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst.

Seismographic Earthquake CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -65

Continuous-Time vs. Discrete-Time Signals CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress.

Continuous-Time vs. Discrete-Time Signals CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -66

Sampled Signal Input CESd. SP Sampled Output EEET 0485 Digital Signal Processing http: //embedsigproc.

Sampled Signal Input CESd. SP Sampled Output EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -67

������� CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof.

������� CESd. SP EEET 0485 Digital Signal Processing http: //embedsigproc. wordpress. com Asst. Prof. Dr. P. Yuvapoositanon DSP 1 -68