Help me write MATLAB code for quadruplexer
时间：03-31
整理：3721RD
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The proposed hybrid coupled multiplexer is:
Assuming lossless ideal bidirectional couplers, the signal atport 4 is given by,
Co1 = C1e(-jΨ1)
where,
C1 = (1/√2)(√1+cos(Φ1-Φ2))
Ψ1 = π-(Φ1+Φ2)/2
Similarly for port 2,
Co2 = C2e(-jΨ1)
where,
C2 = (1/√2)(√1-cos(Φ1-Φ2))
Ψ2 = (Φ1+Φ2)/2 - Π/2
Φ1 & Φ2 are phase lags phase shifting networks.
Φ1 = 2β1l1 + 2βplp
Φ2 = 2β2l2
The multiplexer is required to split 2-18 GHz input signal into 4 GHz band contiguous channels.
Other requirements are:
Z0 = 50 Ohm
Medium: Alumina substrate εr = 9.9, h =0.635mm
l1+lp - l2 = v/2fB
with w1=w2=wp, where v is velocity in guide and fB is channel bandwidth.
In absence of lp, l1-l2 = 14.25mm
I want to get optimized design values for l1, l2, lp, w1, w2, wp using MATLAB and loss graphs.
Assuming lossless ideal bidirectional couplers, the signal atport 4 is given by,
Co1 = C1e(-jΨ1)
where,
C1 = (1/√2)(√1+cos(Φ1-Φ2))
Ψ1 = π-(Φ1+Φ2)/2
Similarly for port 2,
Co2 = C2e(-jΨ1)
where,
C2 = (1/√2)(√1-cos(Φ1-Φ2))
Ψ2 = (Φ1+Φ2)/2 - Π/2
Φ1 & Φ2 are phase lags phase shifting networks.
Φ1 = 2β1l1 + 2βplp
Φ2 = 2β2l2
The multiplexer is required to split 2-18 GHz input signal into 4 GHz band contiguous channels.
Other requirements are:
Z0 = 50 Ohm
Medium: Alumina substrate εr = 9.9, h =0.635mm
l1+lp - l2 = v/2fB
with w1=w2=wp, where v is velocity in guide and fB is channel bandwidth.
In absence of lp, l1-l2 = 14.25mm
I want to get optimized design values for l1, l2, lp, w1, w2, wp using MATLAB and loss graphs.
Anyone please?
Or just give me steps on how to solve it, with hints.
maybe you can optimize it in the ADS momentum or in AWR