Digital Signal Processing 1 Assignment 3

程序代写 CS代考

Digital Signal Processing 1

Lab course Winter Term

Assignment 3

  1. Interpolation in frequency domain
    • ▪  Create a sine signal with one period consisting of 10 samples (Fs = 10Hz).
    • ▪  Enhance the sine signal sampling by using frequency domain interpolation using a

      variable factor L (e.g. L = 5) yielding in a sampling frequency of Fs*M.

  2. Up-sampling in time domain
    • ▪  Up-sampling is the method to artificially increase the sampling rate by inserting zeros between the sample values of the original discrete signal.
    • ▪  Enhance the sine signal sampling of section 1 by using time domain up-sampling using a variable factor L (e.g. L=5).
  1. Interpolation in time domain
    • ▪  Explain why time domain interpolation requires low pass filtering of the up-sampled signal.
    • ▪  Design a corresponding low pass filter
      ▪ MATLAB commands: fir1, filter
  2. Down-sampling in time domain

▪ Reduce the number of samples by a variable factor M (e.g. M=3)

Applied Image & Signal Processing Informationstechnik & System-Management Salzburg University of Applied Sciences

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Digital Signal Processing 1

Lab course Winter Term

Home Assignment: Resample demo

▪ Implement a demo script demoresample.m which shows the effects of up- sampling/interpolation and down-sampling/decimation.

  • ▪  Generate a Fourier series (as in assignment 2) with variable series length [1 21], fixed signal frequency (5Hz), fixed sample frequency (100Hz), fixed amplitude (1) and fixed signal length (1sec).
  • ▪  Provide two sliders for Up-sampling and down-sampling with factors [1 10].
  • ▪  Use two checkboxes to enable interpolation and decimation.
  • ▪  Use a 3×2 plot to show the following:

    ▪ Time-domain plots (1st column); two-sided linear spectrum (2nd column). ▪ Original Fourier series (1st row); up-sampled/interpolated signal (2nd

    row); down-sampled/decimated signal (3rd row);
    ▪ MATLAB files must have a header. Plots should be labeled and must have axis labeling. ▪ Required upload

    ▪ demoresample.m

Applied Image & Signal Processing
Informationstechnik & System-Management 2/ 2 Salzburg University of Applied Sciences

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