Modulation Systems EMS310 - Ch 3 + 4

Flashcards covering key concepts from the lecture on modulation systems, focusing on definitions and important terms.

Linear Time-Invariant (LTI) System

A system characterized by linearity and time-invariance, described by the relationship y(t) = h(t) * x(t) in the time domain.

Fourier Transform

A mathematical transform that expresses a function in terms of its frequency components, often represented as X(f) in the frequency domain.

Distortionless Channel

A channel where the transfer function |h(f)| = k, ensuring the output's shape remains unchanged with time delay.

Ideal Filter

A filter that perfectly passes frequencies within a specified range while completely attenuating others.

Power Spectral Density (PSD)

A measure of a signal's power content as a function of frequency, commonly denoted as Sg(f).

Autocorrelation

A mathematical tool used to analyze the similarity between a signal and a time-shifted version of itself.

Discrete Fourier Transform (DFT)

A mathematical technique that converts a sequence of values into components of different frequencies.

Single Side Band (SSB) Modulation

A modulation method that transmits only one of the two sidebands formed in amplitude modulation, reducing bandwidth usage.

Phase Locked Loop (PLL)

A control system that generates a signal that is phase-locked to the input signal, used for synchronization.

Energy Spectral Density (ESD)

A measure of the distribution of energy in a signal as a function of frequency, defined as Ψg(f) = |G(f)|².