Microstrip Stepped-Z LPF

A microstrip stepped impedance lowpass filter is designed on a 20 mil thickness RO4003C substrate in order to meet the following design goals:

Parameter Value Band
Insertion loss < 1.5 dB [0, 2] GHz
Stopband rejection > 20 dB > 4 GHz
Return loss < -15 dB [0, 2] GHz

The first step is to determine the order of the filter that satifies the design goals. For doing this, the Qucs-S filter design tool is used as it automatically generates the Qucs-S schematic. For this first approach, ideal transmission lines are used as shown below:

Ideal Stepped-Z LPF Circuit
SteppedLPF_Layout
Stepped-Z LPF with ideal transmission lines

Then, the filter is synthesized using microstrip lines according to the RO4003C properties.

SteppedLPF_Layout
RO4003C properties

Notice that the high impedance lines must be wide enough to be fabricated into a standard PCB manufacturing facility, so let's keep them wider than 100 μm.

SteppedLPF_Layout
Qucs-S filter design tool window
SteppedLPF_Layout
Qucs-S simulation with microstrip transmission line models

Once the filter is simulated with microstrip transmission line models, the circuit is laid out and assembled in Sonnet Lite for EM simulation. Care must be taken in the box size definition to avoid unintended resonant modes caused by the bounding conditions.

Layout
SteppedLPF_Layout
Insertion Loss
SteppedLPF_IL_and_RL
Group Delay
SteppedLPF_IL_and_RL

Finally, the results obtained from Sonnet are compared to those obtained with the Qucs-S simulation with MS transmission line models. As expected, the cutoff frequency in the EM simulation is lower with respect to the electrical simulation

SteppedLPF_IL_and_RL

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