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Solution Library
Interpolation Techniques to Interpolate the Subsequences
Question
Below, two data sequences were used for the interpolation experiments.
- Consider a simple single-mode 128-point sequence
x(n) = sin(πn/64) for n = 0, 1, … 127
The 32-point subsequence corresponding to a lower sampling rate is in the form of
xÍ‚(n) = sin(πn/16) for n = 0, 1, … 31
Use FFT method to interpolate the subsequence x͂(n) to 128 points. Plot the resultant 128-point sequence: it shows below
- Consider the 64-point sequence
x(n) = 2(-n/16) for n = 0, 1, … 63
The 32-point subsequence corresponding to a lower sampling rate is in the form of
xÍ‚(n) = 2(-n/8) for n = 0, 1, … 31
Use FFT method to interpolate the subsequence x͂(n) to 64 points. Plot the resultant 64-point sequence: it shows below
Answer the question: Does the interpolation technique work equally well for both sequences? Explain why so.
Summary: This question belongs to Fourier series in engineering mathematics and discusses about interpolation techniques to interpolate the subsequences.
Total word count: 203
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