Overall, mechanical filters with lumped elements of all kinds can cover frequencies from about 5 to 700 kHz although mechanical filters down as low as a few kilohertz ( kHz ) are rare.
32.
Many early dispersive filters were built using lumped element all-pass filter sections ., but these proved hard to fabricate with any accuracy and it was difficult to achieve a satisfactory and repeatable performance.
33.
In the microwave range ( 1000 MHz ( or 1 GHz ) and higher ), cavity filters become more practical in terms of size and a significantly higher quality factor than lumped element resonators and filters.
34.
In most cases, the building is considered a single thermal zone and in this case, turning multi-layered walls into Lumped Elements can be one of the most complicated tasks in the creation of the model.
35.
Moreover, their unit cells are connected through a transmission-line network and they may, therefore, be equipped with lumped elements, which permit them to be compact at frequencies where the SRR cannot be compact.
36.
The sound production in a flute can be described by a lumped element model in which the pipe acts as an acoustic swing ( mass-spring system, resonator ) that preferentially oscillates at a so-called natural frequency.
37.
While Cauer's work concerns lumped elements, it is of some importance to waveguide filters; the Chebyshev filter, a special case of Cauer's synthesis, is widely used as a prototype filter for waveguide designs.
38.
The resonators are treated as lumped elements; however, the coupling wires are made exactly one half-wavelength ( ? / 2 ) long and are equivalent to a ? / 2 open circuit stub in the electrical equivalent circuit.
39.
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.
40.
Although there are other ways of achieving signal delays, such as by a long length of coaxial cable, or by lumped element ladder networks, such solutions have either greater physical bulk, or they make inefficient use of a frequency band, or they have poor phase linearity.
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