Many of the real life problems are modelled as Matrix Second Order Systems, (refer Wu and Duan [19], Hughes and Skelton [10]). Necessary and sufficient condition for controllability of Matrix Second Order Linear (MSOL) Systems has been established by Hughes and Skelton [10]. However, no scheme for computation of control was proposed. In this paper we first obtain another necessary and sufficien...

Local cosine/sine basis is a localized version of cosine/sine basis with a smooth window function. It has orthogonality and good time and frequency localization properties together with a fast algorithm. In this paper, we present a new method combining the main idea of local cosine/sine bases, multi-scale decomposition and the dispersion relation to form a multi-scale, multi-dimensional selfsim...

Fourier transform is an essential ingredient in Shor’s factoring algorithm. In the standard quantum circuit model with the gate set U 2 , controlled-NOT , the discrete Fourier transforms FN= ij N N, i , j=0,1 ,... ,N −1, =e2 i/N, can be realized exactly by quantum circuits of size O n2 , n=ln N, and so can the discrete sine or cosine transforms. In topological quantum computing, the simplest un...

The paper presents results of the implementation of a nonparametric curve generator algorithm in FPGA as a test of concept for H/W acceleration solutions. It is shown that coordinate sequences as a curve representation when generated by the algorithm form a nonuniform sampled cosine/sine sequences of values that can be used in signal generation applications. A known draw back of the algorithm i...

The coordinate rotation digital computer (CORDIC) algorithm is well known iterative algorithm for performing rotations in digital signal processing applications. Hardware implementation of CORDIC results increase in Critical path delay. Pipelined architecture is used in CORDIC to increase the clock speed and to reduce the Critical path delay. In this paper a hardware efficient Digital sine and ...

Dynamic economic dispatch (DED) deals with the allocation of predicted load demand over a certain period time among thermal generating units at minimum fuel cost. The objective function DED becomes highly complex and nonlinear after considering various operating constraints like valve point loading, ramp rate limit, transmission loss, generation limits. In this study, sine-cosine algorithm has ...

19 and = 1 + 1 m ; m a positive integer. If we let w(x) 1 p 2 R 1 ?1 e ixx ()dd, then w is a \mother function" that generates a wavelet basis (giving us a Multi Resolution Analysis) m ; m a positive integer. x6. Concluding remarks. We repeat that the local bases we developed in x2. were introduced by Coifman and Meyer, and their use in obtaining the smooth wavelet bases were pointed out to us b...