Time-frequency localization and sampling of multiband signals
نویسندگان
چکیده
This paper begins with a review of some classical work of Landau, Slepian, Pollak and Widom concerning essentially timeand bandlimited signals and ends reviewing some recent work of Candès, Romberg and Tao that places specific but probabilistic limitations on essential timeand bandlimiting for finite signals and their discrete Fourier transforms. In between we outline some conceptual bridges from the continuous, singleband setting to the finite, multiband setting and pose a number of open problems whose solutions would solidify the connections outlined. These connections involve time-frequency localization of multiband signals and sampling theory for such signals.
منابع مشابه
Reconstruction of Frequency Hopping Signals From Multi-Coset Samples
Multi-Coset (MC) sampling is a well established, practically feasible scheme for sampling multiband analog signals below the Nyquist rate. MC sampling has gained renewed interest in the Compressive Sensing (CS) community, due partly to the fact that in the frequency domain, MC sampling bears a strong resemblance to other sub-Nyquist CS acquisition protocols. In this paper, we consider MC sampli...
متن کاملA Super-Resolution Algorithm for Multiband Signal Identification
Recent advances in convex optimization have led to super-resolution algorithms that provide exact frequency localization in multitone signals from limited time-domain samples. Such localization is accomplished by minimizing a certain atomic norm, which can be implemented in a semidefinite program. In this work, we consider the identification of multiband signals, which are comprised of multiple...
متن کاملSampling theorems for uniform and periodic nonuniform MIMO sampling of multiband signals
We examine a multiple-input multiple-output (MIMO) sampling scheme for a linear time-invariant continuous-time MIMO channel. The input signals are modeled as multiband signals with different spectral supports, and the channel outputs are sampled on either uniform or periodic nonuniform sampling sets, with possibly different but commensurate intervals on the different outputs. This scheme encomp...
متن کاملImproving Multiband Position-Pitch Algorithm for Localization and Tracking of Multiple Concurrent Speakers by Using a Frequency Selective Criterion
We present an auditory inspired frequency selective extension to the multiband position-pitch (MPoPi) algorithm and a new particle filtering algorithm for localization and tracking of an arbitrary number of concurrent speakers. In the particle filtering framework, we combine standard bootstrap with importance sampling techniques. The proposed algorithm was tested on real-world recordings using ...
متن کاملMultirate asynchronous sampling of sparse multiband signals.
Because optical systems have a huge bandwidth and are capable of generating low-noise short pulses, they are ideal for undersampling multiband signals that are located within a very broad frequency range. We propose a new scheme for reconstructing multiband signals that occupy a small part of a given broad frequency range under the constraint of a small number of sampling channels. The scheme, ...
متن کامل