Signal Analysis and Telecommunication Principles

Week 1, Lectures 1-2

Introduction; Basic principles of signal acquisition, conditioning, modulation and transfer;

Definitions (continuous time, discrete time, periodic/a-periodic); Basic signal shapes (unit pulse, step, ramp, sinusoid); Refresh complex algebra, Euler's theorem;

Introduce Unit impulse function (Dirac, sifting property)

Week 1, Lectures 3-4

Signal decomposition; Fourier Series (real and complex exponential versions); Sinc function; Examples.

Week 2, Lectures 5-6

Fourier Transform, Basic Transforms, Duality, Transform pairs, Properties of FT, Convolution; Examples.

Week 2, Lectures 7-8

Energy and Power, Parseval's Theorem; Definition of Energy and Power Spectral Density; Examples.

Week 3, Lectures 9-10

Introduction to linear time-invariant systems (LTI); Impulse response function, Frequency response function; Examples.

Week 3, Lectures 11-12

Filtering, filtering properties (bandwidth, phase lag); Ideal filters. Examples.

Week 4, Lectures 13-14

Sampling; A/D conversion; Impulse-train sampling; Nyquist sampling theorem, aliasing; Examples.

Week 4, Lectures 15-16

Introduction to Discrete Fourier Transform (DFT) and Fast-Fourier Transform (FFT); Examples

Week 5, Studio Classroom Session

Sampling, aliasing, windowing, leakage. Basic signal conditioning; Low-pass filter. Using data from actual aerospace sensors (accelerometer, pitot tube, rate sensor, light sensor).

Week 6, Lectures 17-18

Basic principles of transferring information (communication); modulation (digital system, binary signaling); On-Off-Keying, and Binary Phase Shift Keying; Time and frequency representation.

Week 6, Lectures 19-20

Effects of noise; Additive White Gaussian Noise (AWGN); thermal noise, noise temperature, noise density, effective noise bandwidth; Signal-to-Noise-Ratio (SNR); Signal detection.

Week 7, Lectures 21-22

Optimal signal detection (false alarm and missed detection probabilities); range estimation for navigation and surveillance; examples in aerospace; signal bandwidth versus bit-rate (communication) link/channel capacity, and bit energy to noise density ratio Eb/N0. Signal bandwidth versus ranging accuracy (navigation), chip/pulse duration, and carrier to noise density ratio C/N0.

Week 7, Lectures 23-24

Design calculations for telecommunications sub-system in aerospace; basic radio (wireless) signal link budget (aand radar equation): Emitted Isotropic Radiation Power (EIRP), free space loss, and antenna gain. Examples: satellite-Earth link, aircraft-tower link, and radar two-way sensing; quick review of transmitter and receiver building blocks.