# ENGN1570 Linear System Analysis

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### Lectures

Book references in parenthesis
09/03 Introduction (1.1)

09/05 Energy, transformations of the independent variable, even/odd signals (1.1, 1.2)

09/08 Periodic signals, Exponential and Sinusoidal signals (1.2, 1.3)

09/10 Discrete periodic signals, Unit impulse and step function (1.3, 1.4)

09/12 Basic system properties (1.5, 1.6)

09/15 Discrete Convolutions and LTI systems (2.1, 2.3)

09/17 Discrete Convolutions and LTI systems (2.1, 2.3)

09/19 Impulse response and properties of Convolutions (2.1, 2.2, 2.3)

09/22 Continuous Convolutions and LTI systems (2.2, 2.3)

09/24 Echo simulation, Audio processing in Matlab

09/26 Homework review

09/29 Causal LTI Systems described by differential equations (2.4)

10/01 Discrete systems described by differential equations (2.4)

10/03 Fourier series (3.0-3.4)

10/06 Fourier series properties and example (square wave) (3.0-3.4)

10/08 Fourier transform derivation (4.0, 4.1)

10/10 Examples and signal manipulation in frequency domain

10/13 Holiday

10/15 Midterm

10/17 Properties of the Fourier transform (4.3)

10/20 Frequency selective filters, RC circuit (3.9, 3.10, 6.3, 6.4, 6.5.1)

10/22 Car suspension system (6.7)

10/24 Car suspension system (6.7)

10/27 Sampling, reconstruction, aliasing (7.1, 7.2, 7.3)

10/29 Sampling, reconstruction, aliasing (7.1, 7.2, 7.3)

10/31 Sampling, reconstruction, aliasing (7.1, 7.2, 7.3)

11/03 Digital images, sampling and aliasing issues

11/05 Communication Systems, AM Modulation (8.0, 8.1, 8.2)

11/07 AM Modulation/Demodulation lab

11/10 Pulse amplitude modulation (8.6)

11/12 Frequency Modulation (8.7)

11/14

11/17 Discrete Fourier transform (DFT, 3.6)

11/19 Discrete Fourier transform (DFT, 3.6)

11/21 Fast Fourier Transform (FFT, Exercise 5.54)

11/24 JPEG compression

12/01 Spectrograms, Short time Fourier transform

12/03 Wavelets