In this paper, based on the fact that the output of a weighted median (WM) filter is always one of the samples in the input window, rank and sample selection probabilities are defined. The former is the probability that a certain ranked sample will appear as the output and latter is the probability that the output equals one of the time-indexed samples. Using the rank selection probabilities, i...

In this paper we investigate the minimum amount of input power required to estimate a given linear system with a prescribed degree of accuracy, as a function of the model complexity. This quantity is defined to be the ‘cost of complexity’. The degree of accuracy considered is the maximum variance of the discrete-time transfer function estimator over a frequency range [−ωB, ωB]. It is commonly b...

Neuromuscular control of spinal stability may be represented as a control system wherein the paraspinal muscle reflex acts as feedback response to kinetic and kinematic disturbances of the trunk. The influence of preparatory muscle recruitment for the control of spinal stability has been previously examined, but there are few reported studies that characterize paraspinal reflex gain as feedback...

This paper presents a two-stage approach for designing an infinite impulse response (IIR) notch filter. First, the numerator of the transfer function of the IIR notch filter is obtained by placing the zeros at the prescribed notch frequencies. Then, the denominator polynomial is determined by using an iterative scheme in which the optimal pole placements are found by solving a standard quadrati...

DEDICATION To my family, my Mom, my Dad, and my sister, for their love, support, and patience ACKNOWLEDGMENTS First of all, I would like to thank my family, my Mom, my Dad, and my sister, for their love, support, and patience. Their love means very much to me and inspired me through the challenges of graduate research to this meaningful milestone in my life. I want to tell them that " I love yo...

a r t i c l e i n f o a b s t r a c t A logging-while-drilling (LWD) system is usually deployed in the oil drilling process in order to provide real-time monitoring of the position and orientation of a hole. Encoded signals including the data coming from down-hole sensors are inevitably contaminated during their collection and transmission to the surface. Before decoding the signals into differ...

A new IIR (infinite impulse response) type digital fractional order differentiator (DFOD) is proposed by using a new family of first order digital differentiators expressed in the second order IIR filter form. The integer first order digital differentiators are obtained by the stable inversion of the weighted sum of Simpson integration rule and the trapezoidal integration rule. The distinguishi...

Extensions of popular transformations for IIR filters are given which employ high order mapping filters. Easy control of prototype transfer function features in multiband renditions is demonstrated. A wider interpretation of transformation is also suggested which permits “less-than-N-band replication” (at a cost in dimensionality , phase fidelity and attention to stability enforcement) that is ...