Direct comprehensive design method for band-pass domain of acoustic wave filter
A technology of acoustic filter and comprehensive design, which is applied in the direction of impedance network, digital technology network, electrical components, etc., can solve the problems of large differences in the far out-of-band, and achieve wide application range, simple and clear calculation process, and high accuracy of calculation results Effect
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Embodiment 1
[0060] use figure 2 As shown in the topology, the filter order N=7, the passband frequency range is [2402MHz, 2482MHz], the out-of-band zero positions are [2510MHz, 2350MHz, 2525MHz, 2359MHz, 2525MHz, 2350MHz, 2510MHz], and the return loss IL =18dB.
[0061] The transmission polynomial P(ω), reflection polynomial F(ω), and denominator polynomial E(ω) are calculated according to the bandpass domain Chebyshev polynomial:
[0062] F(ω)=ω 7 -0.508ω 6 +1.78ω 5 -0.81jω 4 +0.91ω 3 -0.34jω 2 +0.1163ω-0.0236j,
[0063] P(ω)=ω 7 -0.798ω 6 +11.8ω 5 -11.04jω 4 +46.8322ω 3 -49.29jω 2 +61.75ω-71.524j,
[0064] E(ω)=ω 7 +(1.958-0.508j)ω 6 +(3.699-1.011j)ω 5 +(4.04-1.82j)ω 4 +(3.569-1.921j)ω 3 +(2.1149-1.5558j)ω 2 +(0.848-0.803j)ω+(0.1602-j0.2385).
[0065] Further, calculate the filter input impedance according to F(ω), P(ω), E(ω) Then calculate the BVD model parameters of each series-parallel resonator:
[0066]
[0067]
[0068] Finally, the filter frequency ...
Embodiment 2
[0070] use image 3 The topology shown, the filter order N=8, the passband frequency range is [2496MHz, 2690MHz], the out-of-band zero positions are [2450MHz, 2750MHz, 2460MHz, 2740MHz, 2465MHz, 2745MHz, 2455MHz, 2755MHz], the echo Loss IL = 18dB.
[0071] The transmission polynomial P(ω), reflection polynomial F(ω), and denominator polynomial E(ω) are calculated according to the bandpass domain Chebyshev polynomial:
[0072] F(ω)=ω 9 +0.724ω 8 -2.365jω 7 -1.6387jω 6 +1.8781ω 5 +1.2127jω 4 -0.5531ω 3 -0.3114jω 2 +0.042ω+0.0152,
[0073] P(ω)=ω 9 +0.6432ω 8 -9.2767jω 7 -6.7157jω 6 +32.3605ω 5 +25.8206jω 4 -50.2854jω 3 -43.4729jω 2 +29.3552ω+27.1307,
[0074] E(ω)=ω 9 +(1.0237-0.037j)ω 8 +(0.9425+0.128j)ω 7 +(0.739-0.265j)ω 6 +(0.326-0.427j)ω 5 +(0.246-0.426j)ω 4 +(0.658-0.268j)ω 3 +(0.868-0.141j)ω 2 +(1.012-0.019j)ω+(0.970-0.066j).
[0075] Further, calculate the filter input impedance according to F(ω), P(ω), E(ω) Then calculate the BVD model param...
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