1) Review of continuous-time Signals and Systems

2) Discrete-time Signals and Systems

a) Discrete-time signals (sequences)

· Intro. and basic sequences

· Sampling of continuous-time sinusoidal signals

· Average power of discrete-time sinusoidal signals

· Basic operations applied to sequences

· Discrete-time systems fundamentals

b) Signals in the frequency domain

· The Fourier transform of sequences

· Parseval’s theorem and convolution in the freq. domain

· Fourier transform examples

c) Frequency response of systems

3) The Z-transform 

Introduction to the z-transform

a) Basics and definitions

b) Properties and theorem

· Part #1

· Part #2 (Initial and final values theorems)

c) Application of the z-transform in systems

d) Finding the inverse z-transform

e) Some z-transform relations

f) (i) Make-up lecture (inverse z-transform)

(ii) March_25_2020 (Inv. Z-transform and intro. to FIR filters)

iii) March_25_2020 (inverse z-trans. Irrational functions of z: Make-up lecture)

g) Some z-transform examples

h) Matlab examples

· Example#1 (finding the transient response)

· Example #2 (Trans. response of an allpass filter)

l) Extra Z-transform problems

· Problem #1

· Problem #2

· Problem #3

· Problem #4

· Problem #5

4) Sampling of Continuous-time (analog) signals

a) Fundamentals and the Sampling Theorem

b) Applications and Equivalent Analog Filters

· Part 1: Relation between continu.-time and discrete-time spectra

· Part 2: Requirements and processes for equiv. analog filters 

5) Review of analog filters

· Part #1

· Part #2

· Part #3 (Analysis of second order analog filter

to determine the freq. response & group

6) Design of Digital filters

   a) Simple digital filters  

b) Infinite impulse response filters (IIR)

· Lecture of April 2, 2020 (Design using the bilinear transformation)

· Design of a BPF using Matlab

· Examples of designing IIR filters

· Design of allpass filters (direct method)

· Design of first order allpass filters (IIR)

· Design of 2^nd order allpass filters using the bilinear transformation

· Design of IIR Comb filters

    c) Finite impulse response filters (FIR)

o Intro. and fundamentals

o Types of FIR filters (generalized linear phase)

o FIR lecture of March_30_2020

o FIR lecture of April_1_2020

o FIR lecture of April 6, 2020

o Design of FIR LP filters using the Kaiser window

o Extending the Kaiser method to design other types

§ Highpass

§ Bandpass

§ Notch

Design of FIR filters (Equiripple method, Kaiser window method, etc.) Using Matlab

d) Make-up lecture (FIR)

e) Example of designing IIR and Comb filters

f) Design and simulation of filter-based system (Matlab & Simulink)

7) Spectral analysis

  a) Part 1(Introduction)  

   b) Part 2 (Spectrum of sinewave)

c) Part 3 (Using windows)

   d) Part 4 (Kaiser Window)

   e) Solved examples

i) Continuous-time Periodic signal

ii) Continuous-time Aperiodic signal (energy signal)

iii) Trapezoidal signal (energy signal)

8) Discrete-Fourier Series

 a) Part 1(Introduction)

 b) Part 2 (Examples)

 c) Part 3 (Properties)

9) Discrete-Fourier Transform

 a) Part 1(Introduction)

  b) Part 2 (properties)

c) Make-up lecture (DFT)

10) Finding the ENOB of ADCs (sine-fit method)