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Downsampling

February 2, 2019 by 3200 Creative

Downsampling

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  1. Question 1 of 2
    1. Question

    You wish to downsample a discrete-time signal by a factor of 5 and have an ideal discrete-time low-pass filter available. The continuous-time signal was originally sampled at 1000 Hz. What frequency should you choose for the transition from passband to stopband of the filter?

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  2. Question 2 of 2
    2. Question

    In order to downsample a signal by a factor of 5, what should you do after applying the appropriate low-pass filter? The continuous-time signal was originally sampled at 1000 Hz.

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Course Lessons

  • Introduction to Sampling and Reconstruction

  • Aliasing and the Sampling Theorem Simplified

  • Fourier Transform Interpretation of Sampling

  • Reconstruction and the Sampling Theorem

  • Reconstruction and the Sampling Theorem Examples

  • Two-Dimensional Sampling Theorem

  • Equivalent Analog Filtering

  • Practical Sampling: Anti-Aliasing Filters

  • Practical Reconstruction: The Zero-Order Hold

  • Practical Digital Filtering and Oversampling

  • Oversampling Example

  • Downsampling: Reducing the Sampling Rate

  • Upsampling: Increasing the Sampling Rate

  • Analog to Digital Conversion: Quantization and Coding

  • Analysis of Quantization Error

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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