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© DIGITAL VISION An Introduction To Compressive Sampling

DIGITAL VISIOND igital Object Identifier approaches to Sampling signals or images follow Shannon s cel-ebrated theorem: the Sampling rate must be at least twice the maximum fre-quency present in the signal (the so-called Nyquist rate). In fact, thisprinciple underlies nearly all signal acquisition protocols used in consumeraudio and visual electronics, medical imaging devices, radio receivers, andso on. (For some signals, such as images that are not naturally bandlimited, the sam-pling rate is dictated not by the Shannon theorem but by the desired temporal or spatialresolution.)

role.) In the field of data conversion, for example, standard analog-to-digital converter (ADC) technology implements the usual quantized Shannon representation: the signal is uniformly sampled at or above the Nyquist rate. [Emmanuel J. Candès and Michael B. Wakin] An Introduction To Compressive Sampling [A sensing/sampling paradigm that goes ...

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