A system of multivariate orthogonal polynomials satisfies a matrix equation which plays the role of a three-term relation of the orthogonal polynomial of one variable. However, unlike the case of one variable, there does not exist a second solution of this matrix equation that is linearly independent to the orthogonal polynomials. In particular, there is no analogy of the associated polynomials...

An orthogonal Ore algebra is an abstraction of common properties of linear partial differential, shift and q-shift operators. Using orthogonal Ore algebras, we present an algorithm for finding hyperexponential solutions of a system of linear differential, shift and q-shift operators, or any mixture thereof, whose solution space is finite-dimensional. The algorithm is applicable to factoring mod...

The DISCWorld system seeks to provide an environment in which non-computer expert users can access and direct the processing of large scale datasets utilising distributed high performance computing and storage resources. The implementation of this system can benefit from many of the attributes of orthogonal persistence, however the wide variety of target system, target languages and the need to...

Twelve-lead electrocardiograms and orthogonal electrocardiograms taken with Frank's corrected orthogonal lead system have been compared in 259 patients with recent myocardial infarction. In the scalar electrocardiograms a diagnostic recognition rate of 62 per cent was recorded. QIRratios > 0O2I in X lead, > o 22 in Y lead, and I -20 in Z lead were used as signs of myocardial infarctio...

Super-orthogonal and super-quasi-orthogonal space-time trellis coding is seamlessly combined with orthogonal frequency division multiplexing (OFDM) to improve the performance of broadband wireless mobile communication systems. Quadrature amplitude modulation (QAM) is used on all OFDM subchannels. The transmitter is equipped with two antennas when using super-orthogonal space-time trellis codes ...

In this paper, the performance of extended super orthogonal space time trellis coded orthogonal frequency division multiplexing system is investigated in frequency selective wideband wireless channels. New 16, 32 and 64 states full rate extended super orthogonal space time trellis codes for quadrature phase shift keying is proposed using the generator matrix notation and their frame error rate ...

Orthogonal variable spreading factor (OVSF) codes are employed in the third generation (3G) wideband code division multiple access (WCDMA) wireless system as channelization codes. Any two OVSF codes of different tree levels are orthogonal if and only if one of two codes is not mother code of the other. This results in a major drawback of OVSF codes, called blocking property: when an OVSF code i...

Based on building polygons (building footprints) on the digital map, we are proposing a GIS and CG integrated system to generate 3-D building models automatically. Most building polygons’ edges meet at right angles (orthogonal polygon). A complicated orthogonal polygon can be partitioned into a set of rectangles. In order to partition an orthogonal polygon, we proposed a useful polygon expressi...

We present a new architecture of layered space-time codes as a combination of BLAST architecture and of special STTC codes which are variations about the codes first introduced by Jafarkhani et al. and named Super Orthogonal Space-Time Trellis Codes (SOSTTC). Using powerful set partitioning, these codes are able to combine the coding advantage of STTC’s together with the advantage diversity of ...

In this paper a novel Modified Simulated Annealing Algorithm (MSAA) is used as global optimization technique to find the solution of combinatorial optimization problem which is usually difficult to tackle. MSAA combines good methodologies like global minimum converging property of Simulated Annealing algorithm and fast convergence rate of Hamming scan algorithm. Orthogonal Netted Radar System (...