Distributed-element filter

A low-noise block converter with the lid and horn removed exposing the complex circuitry inside, with the exception of the local oscillator which remains covered. The horizontal and vertical polarisation probes can be seen protruding into the circular space where the horn is normally attached. Two output connectors can be seen at the bottom of the device.
Figure 1. A circuit featuring many of the filter structures described in this article. The operating frequency of the filters is around 11 gigahertz (GHz). This circuit is described in the box below.
Low-noise block converter
The circuit depicted in figure 1 is a low-noise block converter and is intended to be attached to a satellite television receiving dish antenna. It is called a block converter because it converts a large number of satellite channels as a block with no attempt to extract to a particular channel. Even though the transmission has travelled 22,000 miles from the satellite orbit, there is a problem getting the signal the last few feet from the dish to the point where it will be used inside the property. The difficulty is that the signal is brought inside the property by a cable (called a downlead) and the high satellite signal frequencies are greatly attenuated when in a cable rather than free space. The purpose of the block converter is to convert the satellite signal to a much lower frequency band that can be handled by the downlead and the user's set-top box. Frequencies depend on satellite system and geographical region, but this particular device converts a block of frequencies in the band 10.7 GHz to 11.8 GHz. The output going to the downlead is in the band 950 MHz to 1950 MHz. The two F connectors at the bottom of the device are for connection to downleads. Two are provided on this particular model (block converters can have any number of outputs from one upwards) so that two televisions or a television and VCR can be tuned to two different channels at the same time. The receiving horn would normally be fitted to the circular hole in the centre of the board, the two probes protruding into this space are for receiving horizontally and vertically polarized signals respectively and the device can be switched between these two. Many filter structures can be seen in the circuit: there are two examples of band-pass parallel-coupled lines filters which are there to restrict the incoming signal to the band of interest. The relatively large width of the resonators (compare to the microstrip example in figure 2, or the local oscillator filters below and to the right of the central metal oblong) reflect the wide bandwidth the filter is required to pass. There are also numerous examples of stub filters supplying DC bias to transistors and other devices, the filter being required to prevent the signal from travelling towards the power source. The rows of holes in some tracks, called via fences, are not filtering structures but form part of the enclosure.[1][2][3]
The PCB inside a 20GHz Agilent N9344C spectrum analyser showing various microstrip distributed-element filter technology elements

A distributed-element filter is an electronic filter in which capacitance, inductance, and resistance (the elements of the circuit) are not localised in discrete capacitors, inductors, and resistors as they are in conventional filters. Its purpose is to allow a range of signal frequencies to pass, but to block others. Conventional filters are constructed from inductors and capacitors, and the circuits so built are described by the lumped element model, which considers each element to be "lumped together" at one place. That model is conceptually simple, but it becomes increasingly unreliable as the frequency of the signal increases, or equivalently as the wavelength decreases. The distributed-element model applies at all frequencies, and is used in transmission-line theory; many distributed-element components are made of short lengths of transmission line. In the distributed view of circuits, the elements are distributed along the length of conductors and are inextricably mixed together. The filter design is usually concerned only with inductance and capacitance, but because of this mixing of elements they cannot be treated as separate "lumped" capacitors and inductors. There is no precise frequency above which distributed element filters must be used but they are especially associated with the microwave band (wavelength less than one metre).

Distributed-element filters are used in many of the same applications as lumped element filters, such as selectivity of radio channel, bandlimiting of noise and multiplexing of many signals into one channel. Distributed-element filters may be constructed to have any of the bandforms possible with lumped elements (low-pass, band-pass, etc.) with the exception of high-pass, which is usually only approximated. All filter classes used in lumped element designs (Butterworth, Chebyshev, etc.) can be implemented using a distributed-element approach.

There are many component forms used to construct distributed-element filters, but all have the common property of causing a discontinuity on the transmission line. These discontinuities present a reactive impedance to a wavefront travelling down the line, and these reactances can be chosen by design to serve as approximations for lumped inductors, capacitors or resonators, as required by the filter.[4]

The development of distributed-element filters was spurred on by the military need for radar and electronic counter measures during World War II. Lumped element analogue filters had long before been developed but these new military systems operated at microwave frequencies and new filter designs were required. When the war ended, the technology found applications in the microwave links used by telephone companies and other organisations with large fixed-communication networks, such as television broadcasters. Nowadays the technology can be found in several mass-produced consumer items, such as the converters (figure 1 shows an example) used with satellite television dishes.

  1. ^ Bahl, pp.290–293.
  2. ^ Benoit, pp.44–51.
  3. ^ Lundström, pp.80–82
  4. ^ Connor, pp.13–14.