DLPFD models represent distributed-element Bessel-Thomson lowpass filters. They offer simplicity and maximally flat group delay, but suffer from poor selectivity. They exhibit an initial lowpass characteristic, followed by alternating stopbands and passbands at higher frequencies. The filter's attenuation characteristic is symmetrical about the commensurate frequency, FC. The group delay is maximally flat at zero frequency and at the center of each of the repeating bandpass characteristics.
Name | Description | Unit Type | Default |
---|---|---|---|
ID | Filter ID | Text | DLPFD1 |
N | Number of ements.in the filter | 3 | |
FP | Passband corner frequency (when QU is infinite) | Frequency | 1 GHz |
FC | Commensurate frequency | Frequency | 2 GHz |
*AP | Passband corner attenuation (when QU is infinite) | DB | 3.0103 dB |
*RS | Expected Source Resistance | Resistance | 50 ohm |
*RL | Expected Load Resistance | Resistance | 50 ohm |
*QU | Uniform unloaded Q of elements | 1e12 |
* indicates a secondary Parameter
0 < N < 27
0 < FP < FC
0 < AP Recommend AP greater than or equal to 0.001 dB.
0 < RS
0 < RL
0 < QU. Recommend QU less than or equal to 1e12.
The model is implemented as a short-circuit admittance matrix,
, whose equivalent transfer function squared magnitude is that of a Bessel-Thomson filter:
where
Where b_{0} = (2N-1)!!,i.e, the product of all odd integers less than 2N.
and Richard's transformation has been applied to the frequency variable:
_FREQ is the variable containing the project frequency, and the admittances are:
The model only takes distributed series inductances and distributed shunt capacitances into account - it does not account for unit elements.
Note that this model behaves as if it has ideal impedance transformers at its ports, so there is no attenuation due to mismatched source and load impedances. The model expects that the source impedance will equal RS and that the load impedance will equal RL, but RS need not equal RL for ideal transmission (as would normally be the case).
This element does not have an assigned layout cell. You can assign artwork cells to any element. See “Assigning Artwork Cells to Layout of Schematic Elements” for details.
[1] H. J. Horton and R. J. Wenzel, "Optimum quarter-wave TEM filters," IRE Trans. on MTT, Vol. MTT-13, May 1965, pp. 316-327.
[2] P. I. Richards, "Resistor-transmission-line circuits," Proc. IRE, vol. 36, February 1948, pp. 217-220.
[3] Joseph Helszajn, Synthesis of Lumped Element, Distributed and Planar Filters, (McGraw-Hill, 1990), pp. 160-163, 284-288.
[4] Rolf Schaumann, Mohammed S. Ghausi, and Kenneth R. Laker, Design of Analog Filters: Passive, Active RC, and Switched Capacitor, (Prentice-Hall, 1990), pp. 51-56.
[5] Louis Weinberg, Network Analysis and Synthesis, (Robert E. Krieger Publishing, 1975), pp. 499-506.
[6] Herman J. Blinchikoff and Anatol I. Zverev, Filtering in the Time and Frequency Domains, (Robert E. Krieger Publishing Co., 1987), pp. 124-127.