lecture2

lecture2 - <-----------> Discrete...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Lecture Outline Fourier Analysis – A Review Reading: Sections 2.1 and 2.2 of Principles. Focus on 2.2 Material covered: 1. Frequencies. What are they? Why focus on frequency? Telecom real estate Example: Transform of a rectangular function: Richness in frequency (broadband) allows signal to change rapidly, i.e. higher data rate. Consider a shorter baud/symbol of a rectangular function: Ease of moving signals in frequency by modulation.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2. Fourier Series versus Fourier Transforms Fourier series pair: (For discrete signals) Fourier transform pair: (For continuous signals) Signals in time: Are they periodic (time limited)? Are they discrete? Signals in frequency: Are they discrete? Are they bandlimited? Time Domain Frequency Domain Discrete & periodic
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: <-----------> Discrete & bandlimited Discrete & aperiodic <-----------> Continuous & bandlimited Continuous & periodic <-----------> Discrete & infinite band Continuous & aperiodic <-----------> Continuous & infinite band 3. Short Review of Fourier Transforms Basic Functions: Laplace Transforms: Delta function: Complex exponential functions: Sinusoidal functions: Rectangular and Sinc Functions Elementary identities (should be remembered): 4. Basic Operations: Linearity Duality Shift in time domain Scaling Convolution Modulation Parsevals theorem Differentiation Differentiation in frequency domain Integration Zeroes Signal multiplication...
View Full Document

Page1 / 5

lecture2 - <-----------> Discrete...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online