SYSC 3500
Signals and Systems
Signals: energy and power signals, discrete-time and continuous. Linear systems and convolution. Fourier Transform; complex Fourier series; signal spectral properties and bandwidth. Laplace transform and transient analysis. Transfer functions, block diagrams. Baseband and passband signals, with applications to communications systems.
2020
Topics
- Overview of a communication system
- Classifications of signals: continuous-time vs. discrete-time, continuous
- periodic vs. aperiodic
- Commonly used signals: Unit step function, rectangular pulses, triangular pulses
- ramp functions, the Dirac delta (impulse function), and complex sinusoids
- Time shifted signals
- realizable vs. non-realizable, memoryless vs. with memory
- Linear time-invariant systems
- Transmission of signals through linear time-invariant systems
- Convolution sum and convolution integral
- Difference equations and differential equations
- Complex Fourier series
- Line spectrum representation
- Fourier transforms and inverse Fourier transforms
- Fourier transforms of common signals
- Energy/power spectrum. Bandwidth
- Parseval’s Theorem
- Properties of the Fourier transform and transform pairs
- Discrete-time Fourier transforms
- Discrete Fourier transforms and Fast Fourier Transform (FFT)
Prerequisites & course information
Precludes additional credit for SYSC 3600 and SYSC 3610 . Prerequisite(s): MATH 1005 and enrolment in Communications Engineering. Lectures three hours a week, problem analysis three hours alternate weeks.