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Journals / International Journal of Multidisciplinary Studies and Innovative Technologies / 2026 / Cilt: 9 Sayı: 1

Reconstruction of a Signal Sampled Slower than the Usual Nyquist Rate Using Complex Sampling

Nyquist Frekansından daha Yavaş Örneklenmiş bir Sinyalin Kompleks Örenklemeyle Tekrar Oluşturulması

Hüseyin Canbolat(ANKARA YILDIRIM BEYAZIT UNIVERSITY)0000-0002-2577-0517
Pages
108–117
Publication Date
2025-07-31
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The application of the method to real physical cases and a block diagram for complex sampling is under study.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a modified sampling rate, which is smaller than the usual Nyquist rate, is determined for bandlimited signals using a method like single side band (SSB-like).
📊
Key Findings & Data:SSB-like method is characterized using the base signal of single side band Amplitude Modulation (SSB-AM) instead of the actual AM signal.
💡
Conclusion & Impact:The application of the method to real physical cases and a block diagram for complex sampling is under study.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Kompleks örnekleme · genlik modülasyonu (AM) · SSB-AM

Abstract

In this paper, a modified sampling rate, which is smaller than the usual Nyquist rate, is determined for bandlimited signals using a method like single side band (SSB-like). SSB-like method is characterized using the base signal of single side band Amplitude Modulation (SSB-AM) instead of the actual AM signal. The sampling should be performed on the base SSB signal, which is a complex valued signal. That is, SSB-like sampling is performed on a complex valued signal with a corresponding Nyquist frequency which is half of the actual required sampling frequency. Also, a theoretical sampling method is proposed as a theorem that results in sampled values based on the mathematical properties of transformations. The proposed complex sampling method is novel in the context of sampling and valid for any band-limited real valued signal. The application of the method to real physical cases and a block diagram for complex sampling is under study.

Özet

In this paper, a modified sampling rate, which is smaller than the usual Nyquist rate, is determined for bandlimited signals using a method like single side band (SSB-like). SSB-like method is characterized using the base signal of single side band Amplitude Modulation (SSB-AM) instead of the actual AM signal. The sampling should be performed on the base SSB signal, which is a complex valued signal. That is, SSB-like sampling is performed on a complex valued signal with a corresponding Nyquist frequency which is half of the actual required sampling frequency. Also, a theoretical sampling method is proposed as a theorem that results in sampled values based on the mathematical properties of transformations. The proposed complex sampling method is novel in the context of sampling and valid for any band-limited real valued signal. The application of the method to real physical cases and a block diagram for complex sampling is under study.

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Cite This Article

Canbolat, H. (2025). Reconstruction of a Signal Sampled Slower than the Usual Nyquist Rate Using Complex Sampling. International Journal of Multidisciplinary Studies and Innovative Technologies, Cilt: 9 Sayı: 1, 108–117. https://ajindex.com/articles/1496902

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