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File:Spectral views of zero-fill and interpolation by lowpass filtering.pdf

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English: The first and third graphs depict the discrete-time Fourier transforms of a sampled function and the same function sampled 3 times faster. The second graph shows the transform of a sequence derived from the low-rate samples by inserting 2 zeros in-between each pair of real samples. It is identical to the first graph, except the numeral 3 is replaced by symbol L. A lowpass filter with bandwidth 0.5/T is also depicted. When applied to the zero-inserted sequence, its spectral output resembles the third graph, which is the desired result of interpolation. The maximum filter bandwidth is tabulated in the bandwidth units used by the common filter design applications.
Date
Source Own work. The first and second graphs correspond to the first and third graphs of Harris[1], Figure 2.12, except the upsample rates are different (3 and 5)
Author Bob K
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References
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  1. ↑ Harris, Frederic J. (24 May 2004) "2.2" in Multirate Signal Processing for Communication Systems, Upper Saddle River, NJ: Prentice Hall PTR, p. 23 ISBN: 0131465112.

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Date/TimeThumbnailDimensionsUserComment
current20:12, 25 March 2024Thumbnail for version as of 20:12, 25 March 20241,743 × 1,537 (101 KB)Bob KRemove accidental (blank) second page.
23:08, 24 March 2024Thumbnail for version as of 23:08, 24 March 20241,743 × 1,537, 2 pages (101 KB)Bob KChanged a label and a column header in the table.
15:22, 5 January 2020Thumbnail for version as of 15:22, 5 January 20201,743 × 1,537 (69 KB)Bob Ksame frequency scale for all 3 graphs
15:50, 3 January 2020Thumbnail for version as of 15:50, 3 January 20201,743 × 1,537 (67 KB)Bob Kminor improvements
02:51, 3 January 2020Thumbnail for version as of 02:51, 3 January 20201,743 × 1,537 (67 KB)Bob Kmodify the table
02:51, 31 December 2019Thumbnail for version as of 02:51, 31 December 20191,743 × 1,289 (54 KB)Bob Kreplace Z-transform graphs with table showing various units of bandwidth
23:49, 20 January 2014Thumbnail for version as of 23:49, 20 January 20141,800 × 1,425 (36 KB)Bob KRemove accidental (blank) second page.
23:37, 20 January 2014Thumbnail for version as of 23:37, 20 January 20141,800 × 1,425, 2 pages (37 KB)Bob KUser created page with UploadWizard
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