Methods and systems for analyzing images in convolutional neural networks

A method comprising:

• receiving an image, the image comprising an input feature;
• performing, by a Fourier transform (FT) system module in a neural network, an FT on the input feature to generate a transformed input feature;
• performing, by an on-the-fly Fourier transform (OTF-FT) system module in the neural network, an OTF-FT on coefficients to generate transformed coefficients;
• and
• multiplying, by a multiplication system module in the neural network, the transformed input feature and the transformed coefficients.

A method comprising:

• performing, by a convolutional neural network, a Fourier transform (FT) on an input feature of an image to generate a transformed input feature;
• performing, by the convolutional neural network, an on-the-fly Fourier transform (OTF-FT) on coefficients to generate transformed coefficients;
• and
• multiplying, by the convolutional neural network, the transformed input feature and the transformed coefficients.