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Digital Signal Processing
An introduction to the topic of Digital Signal Processing (DSP) by preparing students to have an understanding of the roll of DSP in electronic systems design and develop a foundation for further study in DSP. Analysis of discrete systems and signals, introduction to probability, discrete signals, sampling, linear systems, introduction to convolution and correlation, discrete Fourier transforms, digital filtering, and z-transforms.
Course Topics
Introduction to Digital Signal Processing
Applications of DSP
Digital vs. Analog
Discrete vs. Continuous
Introduction to Probability
Continuous and Discrete Signal Definition
Mean and Standard Deviation
Summation
Average Deviation
Variance
RMS, Root-Mean-Square
Signal to Noise
Coefficient of Variation
Signals and Processes
Probability
Acquired Signal
Statistical Irregularity
Variation, Fluctuation, Noise
Probability Mass Function, PMF
Probability Density Function, PDF
Normal Distribution
Digital Noise
Precision and Accuracy
Sampling
Analog to Digital Converter, A/D
Digital to Analog Converter, D/A
A/D Converter Resolution
Sampling Theorem
Nyquist Theorem
Aliasing
Sinc Function
Anti-Aliasing Filters
Low-Pass Sampling
Band-Pass Sampling
Linear Systems
Linearity Requirements
Discrete System
Convolution
Correlation
Delta Function
Impulse Response
Input and Output Side Algorithm
Properties of Convolution
Common Impulse Response
Discrete Derivative
Running Sum
Casual and Non-Casual Signals
Phase
Zero
Linear
Non-Linear
Mathematical Properties
Communicative
Associative
Input and Output Transference
Central Limit Theorem
The Discrete Fourier Transform, DFT
Continuous Equation
Discrete Equation
Rectangular Form
Exponential Form
Notation and Format
Time Domain
Frequency Domain
Inverse DFT
Calculating the DFT
Digital Filters
Finite Impulse Response Filters, FIR Filter
Structure of a FIR Filter
FIR Filter Equation Form
Using Convolution in a FIR Filter
FIR Filter’s Impulse Response
Low-Pass FIR Filter
High-Pass FIR Filter
Band-Pass FIR Filter
Band-Reject FIR Filter
Infinite Impulse Response Filter, IIR Filter
Structure of an IRR Filter
IRR Filter Equation Form
Digital Filtering
Moving Average Filter
Realization by Convolution
IRR Filter Noise Reduction
IRR Filter of Recursive Implementation
Windowed Sinc Filters
Sinc Function and Response Characteristics
Introduction to Z-Transforms
Relationship between Z-Transform and LaPlace Transform
S-Plane Transform
Z-Plane Transform
Z-Transform Format
Complex Axis
Unit Distance Circle
Stability
Unstable
Z-Transform Transfer Equations
Homework
Exams & Tests
Quizes
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