Of late, the discrete Hartley transform (DHT) has become an important real-valued transform. Many fast algorithms for computing the DHT of sequence length N = 2(m) have been reported. Fast computation of the DHT of le...
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Of late, the discrete Hartley transform (DHT) has become an important real-valued transform. Many fast algorithms for computing the DHT of sequence length N = 2(m) have been reported. Fast computation of the DHT of length N = q.2(m), where q is an odd integer, is proposed. The key feature of the algorithm is its flexibility in the choice of sequence length N, when N need not necessarily be a power of 2, while giving rise to a substantial reduction in computational complexity when compared to other algorithms.
Closed-form expressions of spatial electric field Green's functions of microstrip structures are presented. These expressions are accurate for a radial distance from one hundredth to five wavelengths. Numerical sp...
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Closed-form expressions of spatial electric field Green's functions of microstrip structures are presented. These expressions are accurate for a radial distance from one hundredth to five wavelengths. Numerical spatial Green's functions are efficiently calculated by applying fast Hankel transforms (fht). These numerical functions are then used to obtain the closed-form expressions in terms of a sum of complex exponentials using the matrix pencil method. Numerical results from this method compare well with those obtained by direct numerical integration. Owing to the utilisation of an fht algorithm to calculate the Sommerfeld-type integral, the present method is very efficient in obtaining the spatial electric field Green's functions.
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