The Kalman filter is the workhorse of target tracking. As is well known, it is the recursive linear minimum mean-square error (LMMSE) filter for a linear system under its stated assumptions. It is little known, however, that for many linear systems the LMMSE filter does not have a recursive form—in other words, it is not recursible. In this paper, we introduce the concept of recursibility, that...

In this paper we discuss the design and implementation of fixed-function, recursive DSP algorithms. We demonstrate by means of a wave digital lattice filter that a sampling frequency of more than 130 MHz can be achieved for a recursive algorithm by using bit-serial arithmetic. The proposed approach leads to very fast recursive algorithms with low power consumption and a minimum requirement of c...

5.1 INTRODUCTION Any action on a signal that modifies the spectral content of the signal is called filtering. This includes the enhancement or suppression of certain features of the signal and is usually achieved by the use of linear time invariant systems. There are situations where the system may change with time in a particular manner; such systems are called adaptive filters. In this sectio...

This paper describes an algorithm for computing design parameters of Interpolated FIR (IFIR) digital filters with a low complexity (small number of products per output sample). The interpolation function is performed by a sharpened cascaded Recursive-Running Sum (RRS) filter, where the sharpening technique is used to improve the RRS frequency domain characteristics. Given the desired filter spe...

Since its introduction in 1960, the Kalman filter has become an integral component in thousands of military and civilian navigation systems. This deceptively simple, recursive digital algorithm has been an early-on favorite for conveniently integrating (or fusing) navigation sensor data to achieve optimal overall system performance. To provide current estimates of the system variables -such as ...

In general, electrocardiogram (ECG) waveforms are affected by noise and artifacts and it is essential to remove the noise in order to support any decision making for specialist. It is very difficult to remove the noise from 12 channel ECG waveforms using standard noise removal methodologies. Removal of the noise from ECG waveforms is majorly classified into two types in signal processing namely...

and key words In this paper, we consider the array processors implementation of the infinite impulse response (11R)1-D and 2-D digital filters that require recursive computations . We use the state space representation to obtain, in a straight forward manner, efficient implementation via dynamically switchable systolic arrays (cylindrical type) of 1 -D direct realisation . This direct descripti...

Among the best structures for implementing recursive digital filters are lattice wave digital (LWD) filters (parallel connections of all-pass filters). They are characterized by many attractive properties, such as a reasonably low coefficient sensitivity, a low roundoff noise level, and the absence of parasitic oscillations. This book chapter describes an efficient algorithm for the design of m...