The Fourier Transform and its Applications

Stanford Course , Prof. Brad Osgood

242 students enrolled

Overview

Contents:
Fourier series - Periodicity; How Sine And Cosine Can Be Used To Model More Complex Functions - Analyzing General Periodic Phenomena As A Sum Of Simple Periodic Phenomena - Wrapping Up Fourier Series; Making Sense Of Infinite Sums And Convergence - Continued Discussion Of Fourier Series And The Heat Equation - Correction To Heat Equation Discussion - Review Of Fourier Transform (And Inverse) Definitions - Effect On Fourier Transform Of Shifting A Signal-Continuing Convolution: Review Of The Formula - Central Limit Theorem And Convolution; Main Idea - Correction To The End Of The CLT Proof-Cop Story - Setting Up The Fourier Transform Of A Distribution - Derivative Of A Distribution-Application Of The Fourier Transform: Diffraction: Setup


More On Results From Last Lecture - Review Of Main Properties Of The Shah Function - Review Of Sampling And Interpolation Results - Aliasing Demonstration With Music - Review: Definition Of The DFT - Review Of Basic DFT Definitions - FFT Algorithm: Setup: DFT Matrix Notation - Linear Systems: Basic Definitions-Discrete Vs Continuous Linear Systems - LTI Systems And Convolution - Approaching The Higher Dimensional Fourier Transform-Higher Dimensional Fourier Transforms - Review - Shift Theorem In Higher Dimensions - Shahs - Tomography And Inverting The Radon Transform

Lecture 7: Review Of Fourier Transform (And Inverse) Definitions

Up Next
You can skip ad in
SKIP AD >
Advertisement
      • 2x
      • 1.5x
      • 1x
      • 0.5x
      • 0.25x
        EMBED LINK
        COPY
        DIRECT LINK
        PRIVATE CONTENT
        OK
        Enter password to view
        Please enter valid password!
        0:00
        3.7 (6 Ratings)

        LECTURES



        Review


        3.7

        6 Rates
        5
        50%
        3
        4
        17%
        1
        2
        17%
        1
        1
        17%
        1

        Comments Added Successfully!
        Please Enter Comments
        Please Enter CAPTCHA
        Invalid CAPTCHA
        Please Login and Submit Your Comment