Stationarity condition for Fractional sampling filters
نویسندگان
چکیده
Dr. Brejesh Lall Department of Electrical Engineering Masters of Technology by Pushpendre Rastogi Cyclostationary processes are non-stationary processes whose statistical characteristics repeat in time with a period greater than 1. In general Cyclostationary processes when passed through LTI systems remain Cyclostationary with the same period. However there are special cyclostationary signals which when passed through specific LTI filters can become stationary. One such type of cyclostationary signal is the output of an interpolator for a WSS input. Such a cyclostationary signal can be stationarized by an LTI system subject to certain conditions. This work aims to generalize this by characterizing an LTI system which can stationarize the output of a general fractional sampling filter.
منابع مشابه
Principles of fractional delay filters
In numerous applications, such as communications, audio and music technology, speech coding and synthesis, antenna and transducer arrays, and time delay estimation, not only the sampling frequency but the actual sampling instants are of crucial importance. Digital fractional delay (FD) filters provide a useful building block that can be used for fine-tuning the sampling instants, i.e., implemen...
متن کاملSampling reconstruction of N-dimensional bandlimited images after multilinear filtering in fractional Fourier domain
This paper addresses the problem of multidimensional signal reconstruction from generalized samples in fractional Fourier domain including the deterministic case and the stochastic case. The generalized sampling expansion is investigated for the case where the fractional bandlimited input depends on N real variable, i.e., f t ð Þ 1⁄4 f t1 , ,tN ð Þ and is used as a common input to a parallel ba...
متن کاملH∞-Optimal Fractional Delay Filters
Fractional delay filters are digital filters to delay discrete-time signals by a fraction of the sampling period. Since the delay is fractional, the intersample behavior of the original analog signal becomes crucial. In contrast to the conventional designs based on the Shannon sampling theorem with the bandlimiting hypothesis, the present paper proposes a new approach based on the modern sample...
متن کاملReconstruction of nonuniformly sampled bandlimited signals by means of digital fractional delay filters
This paper considers the problem of reconstructing a class of nonuniformly sampled bandlimited signals of which a special case occurs in, e.g., time-interleaved analog-to-digital converter (ADC) systems due to time-skew errors. To this end, we propose a synthesis system composed of digital fractional delay filters. The overall system (i.e., nonuniform sampling and the proposed synthesis system)...
متن کاملMultiscale KF Algorithm for Strong Fractional Noise Interference Suppression in Discrete-Time UWB Systems
In order to suppress the interference of the strong fractional noise signal in discrete-time ultrawideband UWB systems, this paper presents a new UWB multi-scale Kalman filter KF algorithm for the interference suppression. This approach solves the problem of the narrowband interference NBI as nonstationary fractional signal in UWB communication, which does not need to estimate any channel param...
متن کامل