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High selective stepped-impedance dual-band bandpass filter

✍ Scribed by Jianpeng Wang; Yong-Xin Guo; Bing-Zhong Wang; L. C. Ong

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
99 KB
Volume
48
Category
Article
ISSN
0895-2477

No coin nor oath required. For personal study only.

✦ Synopsis

Thus total cost of the setup of translation operators is O(16L 2 log 2 L ϩ L 2 ). This is an exact and fast method to compute Eq. ( 7). Hence, the fast spherical transforms are useful in the setup of the translation operators in addition to quadrature and interpolation.

4. CONCLUSION

In this study, the fast spherical transforms were applied to the full-wave MLFMM in order to propose efficient and error-controllable quadrature, interpolation, and anterpolation schemes, along with fast generation of translation operators. None of the FMM operations in this paper uses approximating polynomials like Lagrangian polynomials or the prolate spheroid series, and are completely based on spherical harmonics that are inherently present in the kernel under consideration. The only disadvantage of the presented method is that its overall cost is O(N log 2 N), as opposed to the O(N log N) algorithm based on the APS method.

REFERENCES

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