Digital Signal Processing Electrical Engineering Department Iran University of Science & Tech. 2/17/2007 DSP Course-IUST-Spring Semester

Digital Signal Processing Topic 1: Introduction 4/20/2017 Digital Signal Processing Topic 1: Introduction 1. Course overview 2. Digital Signal Processing 3. Basic operations & block diagrams 4. Classes of sequences 2/17/2007 DSP Course-IUST-Spring Semester DSP Course Spring Semester Dr. Rezai-Rad

DSP Course-IUST-Spring Semester 1. Course Overview Digital signal processing: Modifying signals with computers Web site: http://eeprofs.iust.ac.ir/rezairad/dsp Book: Oppenheim “Digital Signal Processing” Mitra “Digital Signal Processing” Instructor: rezai@iust.ac.ir 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Grading Structure Homeworks: 20% Mainly from Oppenheim Sunday-sunday schedule Collaborate, don’t copy Midterm: 20% One session Final exam: 30% Project: 20% Class Works: 10% Brief representation 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Course Project Goal: hands-on experience with DSP Practical implementation Work alone Brief report, optional presentation Recommend MATLAB Titles on website 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Course at a glance 2/17/2007 DSP Course-IUST-Spring Semester

2. Digital Signal Processing Signals: Information-bearing function E.g. sound: air pressure variation at a point as a function of time p(t) Dimensionality: Sound: 1-Dimension Grayscale image i(x,y) : 2-D Video: 3 x 3-D: {r(x,y,t) g(x,y,t) b(x,y,t)} 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Example signals Noise - all domains Acoustic ECG, EEG - biological Radar Image/video - compression etc… 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Signal processing Modify a signal to extract/enhance/rearrange the information Origin in analog electronics e.g. radar Examples… Noise reduction Data compression Representation for recognition/classification… 2/17/2007 DSP Course-IUST-Spring Semester

Digital Signal Processing DSP = signal processing on a computer Two effects: discrete-time, discrete level 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester DSP vs. analog SP 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Digital vs. analog Pros Noise performance - quantized signal Use a general computer - flexibility, upgrde Stability/duplicability Novelty Cons Limitations of A/D & D/A Baseline complexity / power consumption 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester 3. Operations on signals 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Sequences 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Left- and right-sided 2/17/2007 DSP Course-IUST-Spring Semester

Operations on sequences 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester More operations 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Time shifting 2/17/2007 DSP Course-IUST-Spring Semester

Combination of basic operations 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Up- and down-sampling 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Down-sampling 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Down-sampling 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Up-sampling 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Up-sampling 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Complex numbers 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Complex math 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Complex conjugate 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester 4. Classes of sequences 2/17/2007 DSP Course-IUST-Spring Semester

Classification by symmetry 2/17/2007 DSP Course-IUST-Spring Semester

Conjugate symmetric decomposition 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Basic sequences 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester More basic sequences 2/17/2007 DSP Course-IUST-Spring Semester

Exponential sequences 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Complex exponentials 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Complex exponentials 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Periodic sequences 2/17/2007 DSP Course-IUST-Spring Semester

Periodic exponentials 2/17/2007 DSP Course-IUST-Spring Semester

Symmetry of periodic sequences 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Sampling sinusoids 2/17/2007 DSP Course-IUST-Spring Semester

DSP Course-IUST-Spring Semester Aliasing 2/17/2007 DSP Course-IUST-Spring Semester