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| <imgsrc="Images/Conv1D.gif"width="171"alt="Conv1D.gif"> |<br>- define and compute convolution of two 1-D signals <br>- use FFT to compute convolution <br>- define and compute circular convolution <br>- achieve equivalence between circular and linear convolution |
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| <imgsrc="Images/Conv1D.gif"width="171"alt="Conv1D.gif"> |- define and compute convolution of two 1-D signals <br>- use FFT to compute convolution <br>- define and compute circular convolution <br>- achieve equivalence between circular and linear convolution |
||**In this script, students will...**|**Application**|
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| <imgsrc="Images/LTIPlot.png"width="171"alt="LTIPlot.png"> |<br>- define a linear time invariant (LTI) system <br>- identify the moving average operation as a simple LTI system <br>- compute the output of an LTI system for an arbitrary input signal given its impulse response |<br>- Transform a monophone signal to two channel stereo with reverberation |
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| <imgsrc="Images/LTIPlot.png"width="171"alt="LTIPlot.png"> |- define a linear time invariant (LTI) system <br>- identify the moving average operation as a simple LTI system <br>- compute the output of an LTI system for an arbitrary input signal given its impulse response |- Transform a monophone signal to two channel stereo with reverberation |
||**In this script, students will...**|**Applications**|
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| <imgsrc="Images/EmbossedRose.png"width="171"alt="EmbossedRose.png"> |<br>- explain the frequency domain implications of convolving two signals in the time domain <br>- achieve equivalence between low pass filtering and convolution <br>- define and compute convolution of two 2-D signals <br>- perform spatial filtering of images to achieve effects such as blurring and embossing |<br>- Blurring images <br>- Sharpening images <br>- Using convolution to identify parts of an image <br>- Using pretrained convolutional neural network to identify images |
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| <imgsrc="Images/EmbossedRose.png"width="171"alt="EmbossedRose.png"> |- explain the frequency domain implications of convolving two signals in the time domain <br>- achieve equivalence between low pass filtering and convolution <br>- define and compute convolution of two 2-D signals <br>- perform spatial filtering of images to achieve effects such as blurring and embossing |- Blurring images <br>- Sharpening images <br>- Using convolution to identify parts of an image <br>- Using pretrained convolutional neural network to identify images |
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