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The Effect of Windowing on the DFT Approximation to the Fourier Transform

February 2, 2019 by 3200 Creative

The Effect of Windowing on the DFT Approximation to the Fourier Transform

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  1. Question 1 of 3
    1. Question

    What distortions are introduced into the DTFT when a signal is truncated in time? Select all that apply.

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  2. Question 2 of 3
    2. Question

    What is the peak amplitude in dB of the sidelobes of the discrete-time sinc function? Assume the mainlobe amplitude is 0 dB.

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  3. Question 3 of 3
    3. Question

    The limit of the truncated DTFT to resolve the frequencies of closely spaced, equal power sinusoids is proportional to width of the mainlobe of the sinc function.

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  • Discrete Fourier Transform: Sampling the Discrete-Time Fourier Transform

  • Important Discrete Fourier Transform Properties

  • Fast Fourier Transform (FFT) Algorithm

  • Introduction to Circular Convolution and Filtering with the Discrete Fourier Transform

  • Circular Convolution Property of the Discrete Fourier Transform

  • Filtering with the Discrete Fourier Transform

  • The Discrete Fourier Transform Approximation to the Fourier Transform

  • The Effect of Windowing on the Discrete Fourier Transform Approximation to the Fourier Transform

  • Windows and the Discrete-Time Fourier Transform: Trading Resolution for Dynamic Range

  • An Example of Approximating the Fourier Transform with the Discrete Fourier Transform

  • The Short-Time Fourier Transform and the Spectrogram

  • A Matrix Interpretation of the Discrete Fourier Transform

  • A Matrix Interpretation of the Fast Fourier Transform Algorithm

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