Asst. Lect. Mohammed Jabal

Contents:

Karnaugh map

Karnaugh Map Simplification of SOP Expressions

Don't care

Contents:

Boolean Operations and Expressions 

Laws and Rules of Boolean Algebra

DeMorgan’s Theorems

Contents:

1. Binary Addition

2. Binary Subtraction

3. Binary Multiplication

4. Binary Division

Complements of Binary Numbers

Signed Binary Numbers

Arithmetic Operations with Signed Numbers

Contents:

1. AND gate

2. OR gate

3. NOT gate

4. NAND gate

5. NOR gate

6. EX-OR gate

7. EX-NOR gate

Contents:

A. Binary-coded-decimal code (BCD) 

B. Excess - 3 - code

C. Gray code

Boolean Algebra

Sum-of-Products Form 

Product-of-sums forms

Contents:

Number System

Discrete-Time Fourier Transform (DTFT): 
In this chapter, we present the Fourier analysis in the context of discrete-time signals (sequences) and systems. The Fourier analysis plays the same fundamental role in discrete time as in continuous time. As we will see, there are many similarities between the techniques of discrete-time Fourier analysis and their continuous-time counterparts, but there are also some important differences. 

Continuous-time Fourier analysis: 
Fourier series is an approximation process where any general (periodic or aperiodic) signal is expressed as sum of harmonically related sinusoids. It gives us a frequency domain (or spectral) representation. If the signal is periodic Fourier series represents the signal in the entire interval (-∞, ∞). i.e. Fourier series can be generalized for periodic signals only. 
 

Signal Sampling and Reconstruction:
The process of sampling is a bridge between continuous-time and discrete-time systems. Sampling is a process of converting a continuous-time signal to a discrete-time signal, and under certain conditions, the continuous-time signal can be completely recovered from its sampled sequence. 

Signal processing provides engineers and scientists with the tools to analyze, enhance, and correct signals, including those from scientific data, audio, images, and video. This lecture will focus on key topics such as: 

   1. Introduction to signals and systems

   2. Classification Of Signals

A.Continuous-Time and Discrete-Time Signals
B. Analog and Digital Signals
C. Real and Complex Signals
D. Deterministic and Random Signals
E. Even and Odd Signals
F. Periodic and Nonperiodic Signals