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Nyquist vs. Compressive Sampling

This paper compares Nyquist sampling with compressive sampling techniques for wideband signals, specifically those defined by a sum of 20 wavelets. Utilizing a sampling frequency of 1024 samples per second and 150 random measurements per second for reconstruction, we achieve a mean squared error (MSE) of less than 2% of the signal energy. This work highlights the advantages of compressive sampling in efficiently capturing and reconstructing complex signals while maintaining high fidelity in signal representation.

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Nyquist vs. Compressive Sampling

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  1. Nyquist vs. Compressive Sampling Nyquist rate samples of wideband signal (sum of 20 wavelets), N = 1024 samples/second Reconstruction from compressive measurements M = 150 random measurements/second MSE < 2% of signal energy

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