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The Fourier Transform

February 2, 2019 by 3200 Creative

The Fourier Transform

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  1. Question 1 of 5
    1. Question

    The primary role of the Fourier transform in signal processing is computation of frequency response and the spectral content of signals.

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  2. Question 2 of 5
    2. Question

    A signal is defined as x(t) = \frac{\sin(2t)}{\pi t}. Which is the correct Fourier transform? (Hint: use the result derived in the video.)

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  3. Question 3 of 5
    3. Question

    The Fourier transform of a signal is X(\Omega) = \frac{1}{4 +j\Omega}. Which is the correct time-domain signal? (Hint: use the result derived in the video.)

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  4. Question 4 of 5
    4. Question

    Which of the following signals is likely to have the broadest Fourier transform, that is, whose Fourier transform spans the broadest range of frequencies.

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  5. Question 5 of 5
    5. Question

    The Fourier transform exists for any possible signal.

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Course Lessons

  • The Fourier Series: Continuous-Time Periodic Signals

  • Square Wave Fourier Series and the Sinc Function

  • Fourier Series Properties

  • The Fourier Transform: Linking Time and Frequency Domains

  • Properties of the Fourier Transform

  • The Discrete-Time Fourier Transform

  • Discrete-Time Fourier Transform Properties

  • Fourier Transforms and Discrete-Time Fourier Transforms for Periodic Signals

  • Frequency-Domain Descriptions for Continuous-Time Linear Time-Invariant Systems

  • Frequency-Domain Descriptions for Discrete-Time Linear Time-Invariant Systems

  • Two-Dimensional Signal Processing: Continuous Space

Courses

  • Foundations

  • Time Domain LTI Systems

  • Fourier Series and Transforms

  • Sampling and Reconstruction

  • The DFT and Applications

  • The Z-Transform

  • Intro to Filter Design

  • IIR Filter Design

  • FIR Filter Design

  • Random Signal Characterization

  • Basis Representations of Signals

  • Estimation of Power Spectra and Coherence

  • Introduction to Signal Estimation and Detection Theory

  • MMSE Filtering and Least-Squares Problems

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