This paper proposes a fast method for the calculation of exponential B-splines sampled at regular intervals. This algorithm is based on a combination of FIR and IIR filters which enables a fast decomposition and reconstruction of a signal. When complex values are selected for the parameters of the exponentials, complex trigonometric functions are obtained. Only the real part of these functions ...

It is often unclear whether time series displaying substantial persistence should be modelled as a vector autoregression in levels (perhaps with a trend term) or in differences. The impact of this decision on inference is examined here using Monte Carlo simulation. In particular, the size and power of variable inclusion (Granger causality) tests and the coverage of impulse response function con...

Here are the key ideas and results. • The output of linear time invariant system is the convolution of its impulse response and the input. The system is bounded iff its impulse response is summable. • The transfer function is the Fourier transform of the impulse response. • A system with rational transfer function is causal if the poles are inside the unit circle. It is causally invertible if t...

In Discrete Multitone (DMT) transceivers, a cyclic prefix of length y is inserted between transmitted symbols. If the channel impulse response is of length y + 1 or shorter, the intersymbol interference can be avoided. To reduce the inefficiency due to the use of a long cyclic prefix, the use of a time domain equalizer (TEQ) to shorten the effective channel impulse response has been the most po...

Despite rapid to-and-fro motion of the retinal image that results from their incessant involuntary eye movements, persons with infantile nystagmus (IN) rarely report the perception of motion smear. We performed two experiments to determine if the reduction of perceived motion smear in persons with IN is associated with an increase in the speed of the temporal impulse response. In Experiment 1, ...

System identification technique plays an important role in many electrical devices. In this technique, an adaptive filter models the unknown system with a Finite Impulse Response (FIR) or an Infinite Inverse Response (IIR) filter. This paper concentrates on the system identification technique based on the least squares criterion and evaluates the relationship between each estimated coefficient ...

S U M M A R Y Seismic interferometry is now widely used to retrieve the impulse response function of the Earth between two distant seismometers. The phase information has been the focus of most passive imaging studies, as conventional seismic tomography uses traveltime measurements. The amplitude information, however, is harder to interpret because it strongly depends on the distribution of amb...

Moments of the impulse response are widely used for interconnect delay analysis, from the explicit Elmore delay (the first moment of the impulse response) expression, to moment matching methods which creates reduced order trans-impedance and transfer function approximations. However, the Elmore delay is fast becoming ineffective for deep submicron technologies, and reduced order transfer functi...

I For the design of existing low rate powerline communication systems it was sufficient to model the channel with parameters such as attenuation, impedance and noise. For high speed power line communication, however, it is important not to model the attenuation only but the complete linear channel distortion. In this paper we present a novel method of measuring the impulse response of the power...

In this paper we consider the optimization of com-paction gain for lters belonging to a restricted class of IIR lters, having the transfer function H(z) = 1 p 2 ? z ?2N + z ?1 A(z 2) where A(z) is a stable allpass lter. This parameter-ization has the advantage that perfect reconstruction condition is automatically fullllled (see (3) below). Our results represent a generalization off6] where onl...