Direct and integrated design method of band-pass filters
A band-pass filter and synthesis design technology, which is applied in the field of direct synthesis design of band-pass filters, can solve problems such as the inability to use comprehensive broadband filters, and achieve the effect of improving group delay characteristics
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Embodiment 1
[0083] Example 1: Synthesis of an eighth-order generalized Chebyshev single-passband filter
[0084] The passband of the filter is located at [4,6]GHz, and there is a transmission zero at zero frequency and infinity, and a transmission zero at 3.5GHz and 6.5GHz (the four transmission zeros are all pure imaginary numbers, using To control the amplitude response of the filter). The remaining four transmission zeros are all paired complex zeros, located in the passband, used to improve the group delay of the filter. Since the band synthesis filter is a single pass band filter, that is, M=1.
[0085] Using the method of the present invention, the eight transmission zero points adjusted in step S4 can be taken as: s ‾ 02 = j 3.5 , s ‾ 03 = 0.8 + j 4.65 , s ‾ 04 = - 0.8 + j 4.65 , s ‾ 05 = 0.77 + j 5.4 , s ‾ 06 = - 0.77 + j 5.4 , s ‾ 07 = j ...
Embodiment 2
[0105] Embodiment 2: Synthesis of a fourth-order generalized Chebyshev single-passband filter
[0106] The single-pass band filter comes from the literature: RJCameron, Advanced coupling matrix synthesis techniques for microwave filters, IEEE Transactions on Microwave Theory and Techniques, vol.51,no.1,Feb.2003,pp.1-10, through this Examples are given to illustrate the connection between the method of the present invention and existing methods.
[0107] The passband of this filter is located at [4.76,5.26]GHz (relative bandwidth is 8%), the first transmission zero is at 4.15GHz, the second is at 4.569GHz, the third is at 5.408GHz, and the fourth is at 6.779GHz , The return loss in the passband is 22dB. The network matrix derived according to the method of the present invention for:
[0108] [ A ‾ ] = - j 0.1739 0.3387 0.3222 0.1791 - 0.0145 0.1739 ω ‾ - 5.3360 0 0 0 0.1739 0.3387 0 ω ‾ ...
Embodiment 3
[0116] Embodiment 3: Synthesis of a fourth-order generalized Chebyshev double passband filter
[0117] The dual-passband filter comes from the literature: YTKuo and CYChang, Analytical design of two-mode dual-band filters using E-shaped resonators, IEEE Transactions on Microwave Theory and Techniques, vol. 60, no. 2, February 2012 ,pp.250-260. This example is used to illustrate the connection between the method of the present invention and the existing method.
[0118] The first passband of this filter is located at [1.64,1.76]GHz, and the second passband is located at [2.31,2.44]GHz. The four transmission zeros are located at 1.27GHz, 2.155GHz, 2.161GHz and 2.63GHz. The return loss in the passband is 20dB. The network matrix derived according to the method of the present invention for:
[0119] [ A ‾ ] = - j 0.1804 0.1937 0.1885 0.2053 - 0.2410 0.1804 ω ‾ - 1.5948 0 0 0 0.1804 0.1937 0 ...
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