File:WOLA channelizer example.png
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[edit]DescriptionWOLA channelizer example.png | ||||
Date | ||||
Source | Own work | |||
Author | Bob K | |||
Permission (Reusing this file) |
I, the copyright holder of this work, hereby publish it under the following license:
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Other versions | This was supposed to be a .svg file, but .svg did not support the yellow highlighting. | |||
PNG development InfoField | ![]() This PNG graphic was created with LibreOffice. |
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Usage InfoField | Sampling the DTFT links to this image. | |||
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Continuous phase
[edit]With no frequency or time decimation, the channelizer's DFT stage (fixed time-reference) calculation would be:
With frequency decimation by 4 and time-decimation by 2, it becomes:
The phase-correcting sequence is equivalent to
which repeats periodically.
The diagram shows that these corrections are produced automatically, by using the buffer's natural wrap-around characteristic as a time-reference. No buffer unwrapping logic or phase-correcting logic is required. Or, in other words ( Multirate Digital Signal Processing, p. 321 ),
The modulation to convert the short-time spectrum from the sliding to the fixed-time references can be achieved without multiplication by recognizing that a modulo K shift of the (time-domain) sequence at the input of the DFT introduces a linear phase-shift of the DFT (frequency-domain).
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 02:10, 22 March 2020 | ![]() | 1,000 × 2,032 (374 KB) | Bob K (talk | contribs) | previous version had a mistake |
01:45, 22 March 2020 | ![]() | 1,001 × 2,039 (508 KB) | Bob K (talk | contribs) | update because of test changes | |
16:34, 17 March 2020 | ![]() | 1,000 × 1,935 (497 KB) | Bob K (talk | contribs) | add parameter "t" to clarify the phase correction factor in the 2nd and 3rd iterations | |
13:59, 7 March 2020 | ![]() | 1,008 × 1,951 (480 KB) | Bob K (talk | contribs) | shrank the .png file, using GIMP | |
19:52, 6 March 2020 | ![]() | 1,488 × 2,880 (323 KB) | Bob K (talk | contribs) | turn off "Save transparency" option when exporting from LibreOffice | |
19:02, 6 March 2020 | ![]() | 1,632 × 2,880 (421 KB) | Bob K (talk | contribs) | Uploaded own work with UploadWizard |
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