Construction of Sampling and Interpolating Sequences for Multi-Band Signals. The Two-Band Case
نویسندگان
چکیده
Recently several papers have related the production of sampling and interpolating sequences for multi-band signals to the solution of certain kinds of Wiener-Hopf equations. Our approach is based on connections between exponential Riesz bases and the controllability of distributed parameter systems. For the case of two-band signals we derive an operator whose invertibility is equivalent to the existence of a sampling and interpolating sequence, and prove the invertibility of this operator.
منابع مشابه
Nonlinear Multiuser Receiver for Optimized Chaos-Based DS-CDMA Systems
Chaos based communications have drawn increasing attention over the past years. Chaotic signals are derived from non-linear dynamic systems. They are aperiodic, broadband and deterministic signals that appear random in the time domain. Because of these properties, chaotic signals have been proposed to generate spreading sequences for wide-band secure communication recently. Like conventional DS...
متن کاملEvaluation of New MOND Interpolating Function with Rotation Curves of Galaxies
The rotation curves of a sample of 46 low- and high-surface brightness galaxies are considered in the context of Milgrom's modi_ed dynamics (MOND) to test a new interpolating function proposed by Zhao et al. (2010) [1] and compare with the results of simple interpolating function. The predicted rotation curves are calculated from the total baryonic matter based on the B-band surface photometry,...
متن کاملA Compact UWB Bandpass Filter with High Selectivity and Dual Notched-Band
A novel compact-sized ultra-wideband (UWB) bandpass filter (BPF) is proposed in this paper. The proposed BPF is highly selective and is able to eliminate WLAN signals from 5.15-5.35 GHz, and downlink of X-band satellite communication signals from 7.25-7.75 GHz. Generally, a multiple-mode resonator (MMR), comprised of a U-shaped line, with two high impedance stubs connected to it, and one steppe...
متن کاملEfficiency of Target Location Scenarios in the Multi-Transmitter Multi-Receiver Passive Radar
Multi-transmitter multi-receiver passive radar, which locates target in the surveillance area by the reflected signals of the available opportunistic transmitter from the target, is of interest in many applications. In this paper, we investigate different signal processing scenarios in multi-transmitter multi-receiver passive radar. These scenarios include decentralized processing of reference ...
متن کاملComplete Identification of Permissible Sampling Rates for First-Order Sampling of Multi-Band Bandpass Signals
The first-order sampling of multi-band bandpass signals with arbitrary band positions is considered in this paper. Gaps between the spectral sub-bands are utilized to achieve lower sampling rates than the Nyquist. The lowest possible sampling rate along with other permissible sampling rates is identified via a unique partition of the frequency axis. With the complete identification of all the p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Applied Mathematics and Computer Science
دوره 17 شماره
صفحات -
تاریخ انتشار 2007