Skip to content

Commit

Permalink
readme: fix wording
Browse files Browse the repository at this point in the history
  • Loading branch information
John Garrett committed Aug 17, 2021
1 parent 47323cf commit ab63093
Showing 1 changed file with 4 additions and 4 deletions.
8 changes: 4 additions & 4 deletions README.md
Original file line number Diff line number Diff line change
Expand Up @@ -34,13 +34,13 @@ Consider the following time-domain signal:
<img src="https://raw.githubusercontent.com/garrettj403/CZT/main/examples/results/signal.png" width="500">
</p>

This is an exponentially decaying sine wave with some distortion from higher-order frequencies. We can convert the signal to the frequency-domain to investigate the frequency content using the Inverse Chirp Z-Transform (ICZT):
This is an exponentially decaying sine wave with some distortion from higher-order frequencies. We can convert this signal to the frequency-domain to investigate the frequency content using the Chirp Z-Transform (CZT):

<p align="center">
<img src="https://raw.githubusercontent.com/garrettj403/CZT/main/examples/results/freq-domain.png" width="500">
</p>

Note that the ICZT also allows us to calculate the frequency response over an arbitrary frequency range:
Note that the CZT also allows us to calculate the frequency response over an arbitrary frequency range:

<p align="center">
<img src="https://raw.githubusercontent.com/garrettj403/CZT/main/examples/results/zoom-czt.png" width="500">
Expand All @@ -52,15 +52,15 @@ We can see that the signal has frequency components at 1 kHz, 2.5 kHz and 3.5 kH
<img src="https://raw.githubusercontent.com/garrettj403/CZT/main/examples/results/windowed-freq-domain.png" width="500">
</p>

Finally, we can use the CZT to transform back to the time domain:
Finally, we can use the Inverse Chirp Z-Transform (ICZT) to transform back to the time domain:

<p align="center">
<img src="https://raw.githubusercontent.com/garrettj403/CZT/main/examples/results/windowed-time-domain.png" width="500">
</p>

As we can see, we were able to remove the higher-order frequencies that were distorting our 1 kHz signal.

You can find this example and others in the [``examples/`` directory.](https://github.com/garrettj403/CZT/blob/main/examples/)
You can find this example and others in the [``examples/``](https://github.com/garrettj403/CZT/blob/main/examples/) directory.

References
----------
Expand Down

0 comments on commit ab63093

Please sign in to comment.