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

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International Journal of Multidisciplinary Studies and Innovative Technologies
Cilt: 9 Sayı: 1
Reconstruction of a Signal Sampled Slower than the Usual Nyquist Rate Using Complex Sampling

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

Authors : Hüseyin Canbolat

Pages : 108-117

View : 34 | Download : 54

Publication Date : 2025-07-31

Article Type : Research Paper

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.
Keywords : Kompleks örnekleme, genlik modülasyonu (AM), SSB-AM, Nyquist frekansı, sinyal geri oluşturma

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