Madhu Jain

Recursive wideband digital integrator and differentiator

In this paper a novel wideband recursive digital integrator and differentiator is presented. The integrator is obtained by interpolating three digital integration techniques and the new differentiator is obtained by modifying its transfer function appropriately. Both the integrator and the differentiator are of third order and highly accurate, thus suitable for real-time applications. Copyright

Wideband digital integrator

A novel recursive wideband digital integrator is presented. The integrator is obtained by interpolating two popular digital integration techniques, the SKG (Schneider-Kaneshige-Groutage) rule and the trapezoidal rule. The proposed integrator accurately approximates the ideal integrator reasonably well over the entire Nyquist frequency range with absolute magnitude error ≤ 0.02 and compares favourably with the existing integrators. The proposed integrator is of third order and is highly accurate.

Analysis and Design of Digital IIR Integrators and Differentiators Using Minimax and Pole, Zero, and Constant Optimization Methods

Proposed work deals with the design of a family of stable IIR digital integrators via use of minimax and pole, zero, and constant optimization methods. First the minimax optimization method is used to design a family of second-, third-, and fourth-order digital integrators by optimizing the magnitude response in a min-max sense under the satisfactory condition of constant group delay. Then the magnitude and group delay response is further improved using pole, zero, and constant optimization method. Subsequently, by modifying the transfer function of all of the designed integrators appropriately, new differentiators are obtained. Simulation results show that proposed approach outperforms existing design methods in terms of both magnitude and phase response.

A new fractional order recursive digital integrator using continued fraction expansion

In this paper a new fractional order recursive digital integrator is presented. Fractional order integrators have a wide range of applications in automatic control systems, circuit theory, dynamical systems and signal processing. The implementation of fractional order recursive digital integrator requires two steps. In the first step, an integer order digital integrator is designed then in the next step continued fraction expansion (CFE) is used to obtain an efficient fractional order digital integrator which is suitable over the complete Nyquist frequency range. The proposed half order integrator accurately approximates the ideal half order integrator reasonably well over the entire Nyquist frequency range with absolute magnitude error ≤ 0.05 and it outperforms the existing half order integrators.

Wideband Digital Integrator and Differentiator

AbstractNovel designs of third-order recursive wideband digital integrator and differentiator are presented. The integrator is obtained by interpolating two digital integration techniques, the Schneider-Kaneshige-Groutage (SKG) rule and the Trapezoidal rule. The differentiator is obtained by inverting the transfer function of the designed integrator after necessary modifications. The proposed integrator and differentiator approximate their ideal counterparts with absolute magnitude errors less than 0.02 and 0.14, respectively, over the entire frequency spectrum. Their performance compares favorably with existing integrators and differentiators.Abstract This paper presents an algorithm to extract symbolic rules from trained artificial neural networks (ANNs), called ERANN. In many applications, it is desirable to extract knowledge from ANNs for the users to gain a better understanding of how the networks solve the problems. Although ANN usually achieves high classification accuracy, the obtained results sometimes may be incomprehensible, because the knowledge embedded within them is distributed over the activation functions and the connection weights. This problem can be solved by extracting rules from trained ANNs. To do so, a rule extraction algorithm has been proposed in this paper to extract symbolic rules from trained ANNs. A standard three-layer feedforward ANN with four-phase training is the basis of the proposed algorithm. Extensive experimental studies on a set of benchmark classification problems, including breast cancer, iris, diabetes, wine, season, golfplaying, and lenses classification, demonstrates the applicability of the proposed method. Extracted rules are comparable with other methods in terms of number of rules, average number of conditions for a rule, and the rules accuracy. The proposed method achieved accuracy values 96.28%, 98.67%, 76.56%, 91.01%, 100%, 100%, and 100% for the above problems, respectively. It has been seen that these results are one of the best results comparing with results obtained from related previous studies.

Queueing Analysis of Channel Assignment Policy for Hand-off in PCS

The queueing analysis for personal communication service (PCS) network which provides low power, high quality access for subscribers to the public switched network (PSTN), is presented in this paper. The fixed channel assignment strategies for hand-off calls are considered. An analytically tractable Markov model to evaluate forced termination probability for the system with finite buffer capacity is developed. We consider nonpriority and FIFO model with and without guard channels. Finite population model is also studied. The queue size distribution and blocking probability of originating calls are determined.

The Design of the IIR Differintegrator and its Application in Edge Detection

New IIR digital differintegrators (differentiator and integrator) with very minor absolute relative errors are presented in this paper. The digital integrator is designed by interpolating some of the existing integrators. The optimum value of the interpolation ratio is obtained through linear programming optimization. Subsequently, by modifying the transfer function of the proposed integrator appropriately, new digital differentiator is obtained. Simulation results demonstrate that the proposed differintegrator are a more accurate approximation of ideal ones, than the existing differintegrators. Furthermore, the proposed differentiator has been tested in an image processing application. Edges characterize boundaries and are, therefore, a problem of fundamental importance in image processing. For comparison purpose Prewitt, Sobel, Roberts, Canny, Laplacian of Gaussian (LOG), Zerocross operators were used and their results are displayed. The results of edge detection by some of the existing differentiators are also provided. The simulation results have shown the superiority of the proposed approach over existing ones. Keywords—Digital integrator, digital differentiator, edge detection and image processing

Prioritized Channel Assignment in Mixed Media Cellular Radio System

In integrated voice/data cellular network, the channel assignment scheme to new calls/packets and handoffs is investigated. We propose two priority schemes in order to reduce the chances of unsuccessful handoffs. In both schemes finite queueing of handoff packets is taken into account. In scheme 1 (PS1), a fixed number of channels residing in the handoff area are reserved exclusively for handoff attempts. In scheme 2 (PS2) new attempts are allowed to seize the channels of handoff area if available but not at the cost of handoff attempts (calls/packets). We derive blocking probability of new attempts and handoff packets, forced termination probability of handoff calls, carried load, average number of handoff packets in the queue.

Design of half sample delay recursive digital integrators using trapezoidal integration rule

This paper describes the design of half sample delay recursive digital integrators. For this, a half sample delay is applied on trapezoidal integration rule, then a modified FIR fractional delay filter is used to design recursive digital integrators. The modified FIR fractional delay filter is less complex and more efficient than original one. In this way lower order recursive digital integrators have been designed and compared with existing half sample delay and conventional recursive digital integrators. The results show the effectiveness of the proposed integrators with low percentage absolute magnitude relative error (PARE) and linear phase response over almost 0% to 80% of the entire Nyquist frequency range.