[Algorithm for restoring spectrogram with sub-pixel resolution]
Related Experiment Video
Updated: Jun 15, 2026

A Multimodal Wide-Field Fourier-Transform Raman Microscope
Published on: December 30, 2025
Huai-Dong Yang1, Ke-Xin Chen, Qing-Sheng He
1State Key Laboratory of Precision Measurement Technology and Instruments, Tsinghua University, Beijing 100084, China. yanghd@tsinghua.edu.cn
Abstract:
Insufficient spatial resolution of detectors is an obstacle to capturing spectra with high resolution. An effective solution is sub-pixel restoration, which can restore a high resolution spectrogram from sub-pixel shifted low resolution ones. In the present paper, an algorithm for sub-pixel restoration is suggested. It utilizes the bidirectional recursive relation between sub-pixel values and estimates each sub-pixel value from both directions of head-end and end-head. As a result, the averaged value will be accepted as the sub-pixel value. Numerical experiments on single gauss profile and superposition ones verified the effectiveness of the algorithm.
Related Concept Videos
Reconstruction of Signal using Interpolation
Upsampling
Aliasing
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original signal...
Downsampling
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
Sampling Theorem
Linear Approximation in Frequency Domain
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
