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The Coefficients:
Frequency Response:
Computing the expected bandpass response (including aliasing and leakage effects):
The actual power observed in an the MWA coarse channels are affected by aliasing and leakage due to the fine channeliser. The following script can be used to generate the bandpass response at any valid MWAX frequency resolution:
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Next it computes the aliased components by shifting the frequency response +- 1 coarse channel across and summing the total power as shown in the following diagram:
Finally, the script combines ultra-fine channels together to form wider fine-channels, as done in the MWAX correlator.
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The result is the following expected bandpass response (for 10kHz fine channels):