Complex analysis: analytic functions and Cauchy Riemann; complex integration, Cauchy principal value; elementary complex valued functions: exponential functions, Euler’s formula, trigonometric and hyperbolic functions, logarithm and general powers; power series, Taylor series and convergence tests. ODE: classification of differential equations; 1st order ordinary differential equations; 2nd order ordinary differential equations. Partial differential equations. (Not for students who have taken ENGG2460 or ESTR2000 or ESTR2010.)
Review of linear system theory and probability. Overview of communication systems. Amplitude modulation and angle modulation. Sampling and quantization. Pulse modulation and transmission. Digital modulation and detection. Modulators and demodulators. Effect of noise in communication. Introduction to information theory and error control coding. Case studies of communication systems.(Not for students who have taken ESTR2300.)
Basics of signals and systems; continuous-time and discrete-time signals and systems; Fourier series and Fourier transform for analysis of signals and systems; characterization of systems; linear time-invariant systems and their characteristics; sampling; Laplace transform; z transform. (Not for students who have taken IERG2051 or ESTR2206.)