Nonlinear Theory and Its Applications, IEICE
Online ISSN : 2185-4106
ISSN-L : 2185-4106
Special Section on Emerging Technologies of Complex Communication Sciences and Multimedia Functions
Understanding convolutional neural networks through Z-transform: Frequency domain analysis of kernel feature extraction
Sora TogawaKenya Jin'no
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JOURNAL OPEN ACCESS

2025 Volume 16 Issue 4 Pages 878-895

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Abstract

This paper analyzes Convolutional Neural Networks (CNNs) from a spatial frequency perspective using Z-transforms to evaluate kernel transfer functions. By examining which frequency bands kernels respond to, we quantitatively analyze feature processing through CNN layers. Experiments with custom and pre-trained models (InceptionV3, VGG16, ResNet-50, DenseNet-121) reveal CNNs capture high-frequency features in early layers while increasingly focusing on low-frequency features in deeper layers. Kernel pruning experiments demonstrate that kernels with larger weights capturing low-frequency features are critical for model performance. These findings provide insights into CNN feature extraction processes, contributing to improved interpretability and model construction guidelines.

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