Flipped Class Videos

Article on Flipping the Signals and Systems Classroom

This article appeared in the September 2018 ECEDHA Newsletter. They changed their website and their older articles were lost. Here is a copy.

Links to videos for a flipped Signals and Systems course

Admin

• Course welcome and admin notes - F15 (if you want to know how I think about the syllabus) (17:29)

Background Mathematics

• Math Review problems

• Math Review problem solutions

• Sinc Function

• Unit Step Function

• Impulse Function

• Partial Fractions

• Polynomial Long Division

Chapter 1 - Signals and Systems

• LO 1-1 Signals and Systems -Examples (11:12)

• LO 1-3 System Properties - Introduction (0:58)

• LO 1-3 System Properties - Memory (14:51)

• LO 1-3 System Properties - Causality (12:23)

• LO 1-3 System Properties - Stability (12:06)

• LO 1-3 System Properties - Linearity (12:19)

• LO 1-3 System Properties - Linearity - mechanics (8:23)

• LO 1-3 System Properties - Time Invariance (6:42)

• LO 1-3 System Properties - Summary (4:11)

• LO 1-4 Using LTI Properties (13:41)

Chapter 2 - LTI Systems

• Background Math - Unit Step Functions (4:39)

• Background Math - Impulse Functions (7:34)

• Derivation of convolution sum (5:07)

• LO 2-1 Calculate the convolution of two discrete signals (7:36)

• LO 2-1 Calculate the convolution of two discrete signals - JHU applet (3:17)

• LO 2-2 Calculate the convolution of two continuous signals - constant amplitude (10:20)

• LO 2-2 Calculate the convolution of two continuous signals - constant amplitude (pdf)

• LO 2-2 Calculate the convolution of two continuous signals - variable amplitude (8:36)

• LO 2-3 Determine the system response by applying sifting and LTI (6:47)

• LO 2-4 Determine memory, causality and stability given an impulse response definition of a system. (11:49)

• LO 2-5 & 2-6 Intro (2:09)

• LO 2-5 Determine the impulse response of a discrete system given the input-output difference equation. (14:21)

• LO 2-6 Determine the impulse response of a continuous system given the input-output differential equation. Step Response. (8:51)

• LO 2-6 Determine the impulse response of a continuous system given the input-output differential equation. Ramp Response (6:51)

Chapter 3 - Fourier Series

• Introduction to Fourier Series (3:35)

• LO 3-1 & 3-2 Describe the response of an LTI system to a complex exponential, Describe how the response of an LTI system to a complex exponential relates to Fourier Series (6:52)

• LO 3-3 & 3-4 Determine the fundamental frequency of a sum of trigonometric functions, Calculate Fourier series coefficients of a pure trigonometric signal using Euler's Formula (9:55)

• LO 3-5 Given a finite list of Fourier series coefficients, determine the associated time function in terms of sine and/or cosine functions. (4:22)

• LO 3-6 Calculate the exponential FS coefficients of a general periodic function using Fourier series integral

• LO 3-7 Properties of Fourier series

• LO 3-8 Graphically portray the magnitude and phase of the FS coefficients vs k and vs omega (6:35)

• LO 3-10 Calculate H(jw) by applying an input of x(t)=ejwt to a linear constant coefficient differential equation (4:06)

• LO 3-11 Determine the response of a periodic signal to a system described by a linear constant coefficient differential equation (13:02)

Chapter 4 - Fourier Transform

• Background Math - Sinc Function (4:25)

• Background Math - Polynomial Long Division (7:14)

• LO 4-1 Describe how and why Fourier Transforms and Fourier Series are related (10:12)

• LO 4-2 Calculate Fourier Transforms and Inverse Fourier Transforms of signals using Fourier integrals (5:11)

• LO 4-3 Calculate Fourier Transforms and Inverse Fourier Transforms of signals using properties of Fourier (8:29)

• Background Math - Partial Fractions (10:32)

• LO 4-4 Apply partial fractions to finding Inverse Fourier Transforms (2:50)

• LO 4-5 Calculate frequency response and impulse response given linear constant coefficient differential equations (6:02)

• LO 4-6 Calculate the response of applying a given input signal to a system described by a linear constant coefficient differential equation (8:20)

• LO 4-7 Given x(t) and h(t) calculate y(t) and Y(jw) using Fourier Transforms
  Given x(t) and y(t) calculate h(t) and H(jw) using Fourier Transforms
  Given h(t) and y(t) calculate x(t) and X(jw) using Fourier Transforms (7:45)

• LO 4-8 Calculate Fourier Transforms of periodic signals

• LO 4-8 Calculate Fourier Transforms of periodic signals (pdf)

• LO 4-12 Calculate Fourier Transforms and Inverse Fourier Transforms pairs using duality property (7:16)

Chapter 5 - Discrete Time Fourier Transform

• Background Math - Polynomial Long Division (7:14)

• LO 5-1 Understand the relation between the DTFT and the CTFT

• LO 5-2 Perform calculations with the DTFT

Chapter 6 - Time and Frequency Characteristics of Signals and Systems

• Bode Plot handout (pdf)

• Bode Plots - Review (20:41)

• LO 6-1 Determine whether a system represents a LPF, HPF, BPF or stop band filter (6:28)

• LO 6-2 Identify the pass-band, transition band and stop-band of a non-ideal filter. (1:48)

• LO 6-3 Relate Linear and Logarithmic representations of frequency response (3:22)

Chapter 7 - Sampling and Aliasing

• Sampling in the time domain

• Sampling in the frequency domain

• LO 7-1 Determine the spectrum of an impulse sampled signal

• LO 7-2 & 7-3 Define the terms Nyquist Rate, Nyquist Frequency and aliasing
  Determine for a given signal the Nyquist Rate, Nyquist Frequency and whether aliasing occurs

• LO 7-4 Determine the reconstructed signal and spectrum

• LO 7-5 Sketch the impulse response for zero-order hold and first order hold reconstruction filters

• LO 7-6 Discuss the practical implementation issues of reconstruction filters. (no video)

Chapter 8 - Communication Systems

• LO 8-1 Convert equations describing modulation and filtering steps into block diagrams

• LO 8-2 Determine the time signal and spectrum for modulated signals

• LO 8-3 Describe and draw the block diagram for modulation & synchronous demodulation

• LO 8-4 Describe and draw the block diagram for modulation & asynchronous demodulation

• LO 8-7 Draw a block diagram for frequency division multiplexing.

• LO 8-9 Describe the difference between double side band and single side band modulation.

• LO 8-10 Describe and draw the block diagram for modulation & demodulation for pulse amplitude modulation and time division multiplexing.

Chapter 9 - Laplace Transform

• Background Math - Polynomial Long Division (7:14)

• LO 9-1 & 9-2 Describe how and why Fourier Transforms and Laplace Transforms are related, Describe what a Region of Convergence means.

• LO 9-3 Describe how Unilateral and Bilateral Laplace Transforms are related

• LO 9-4 Find ROCs for time-domain functions (tables & integral)

• LO 9-5 Given the Laplace transform and the ROC find the proper inverse Laplace Transform

• LO 9-5 Given the Laplace transform and the ROC find the proper inverse Laplace Transform - with complex poles

• LO 9-6 Determine the stability and causality of a system based on the ROC, and relate this to the corresponding impulse response

• LO 9-6 Worksheet.pdf

• LO 9-7 Sketch the approximate magnitude and phase of the Fourier Transform based on pole & zero locations

• LO 9-8a Given x(t) and h(t) calculate y(t) through Y(s) using Laplace Transforms
  LO 9-8b Given x(t) and y(t) calculate h(t) through H(s) using Laplace Transforms
  LO 9-8c Given h(t) and y(t) calculate x(t) through X(s) using Laplace Transforms

• LO 9-11 Given the Laplace Transform of a function, calculate initial and final values by both inversion and IVT & FVT.

Chapter 10 - Z-Transform

• Background Math - Polynomial Long Division (7:14)

• LO 10-1 & LO 10-2 Describe how and why z-Transforms and Laplace Transforms are related, Describe how and why discrete Fourier Transforms and z-Transforms are related.

• LO 10-3 Given the I/O difference equation, write the transfer function.

• LO 10-4 Given the transfer function, write the I/O difference equation

• LO 10-5 Find ROCs for time-domain functions (tables)
  LO 10-6 Determine the Z-transform of a discrete time signal (both functional and series)

• LO 10-7 Given z-transform and ROC find the proper inverse z-Transform by partial fractions and tables
  LO 10-8 Given z-transform and ROC find the proper inverse z-Transform by long division and tables

• LO 10-9 Determine the stability and causality of a system based on ROC, and relate this to the corresponding impulse

• LO 10-10 Sketch the approximate magnitude and phase of the discrete Fourier Transform based on pole & zero locations

• LO 10-11 Given the z-Transform of a function, calculate initial value by both inversion and IVT.

• LO 10-12 Draw block diagrams for discrete-systems (delay units)