EC.Engineer
Junior Member level 1
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.
