TECHNICAL FIELD
[0001] The invention is concerned with a superconducting filter, a method therein and a
radio transmitter including the filter.
BACKGROUND ART
[0002] A radio transmitter has to transmit desired signals of limited frequency band to
an antenna.
[0003] As the available frequency range is restricted, for example due to international
agreements and an increasing traffic, the requirements on the receivers and transmitters
will also increase so that they only receive resp. generate signals of desired frequencies.
[0004] A radio transmitter can be considered to consist of a signal processing unit, a frequency
generator and modulator and a power amplifier. In the signal processing unit, the
information signal is converted to a form suitable for transmission. In the frequency
generator consisting of one or more oscillators, a carrier wave is created. The functions
of the modulator are partly involved in those of the frequency generator. These functions
vary some parameter in the output signal from the frequency generator in accordance
with the information signal from the signal processing unit. Finally, the power amplifier
increases the signal level to a suitable range.
[0005] Undesired frequency components are, however, created in the transmitter of various
reasons, why filtering is necessary.
[0006] In many instances, it is important that signals from other users do not interfere.
For example cellular communication systems might have two or more service providers
operating on separate bands within the same geographical area. Also within a single
provider's allocated frequency, it is useful to be able to handle multiple signals,
as in systems using frequency multiple access (FDMA), time division multiple access
(TDMA), code division multiple access (CDMA) arid wide-band CDMA (WCDMA). FDMA and
TDMA users need filters to divide their allocated frequencies into multiple bands
and also CDMA users might have an interest in dividing the frequency range in bands.
In such cases, the narrower the bandwidth of the filter, the closer together one may
place the channels.
[0007] The size of the filters is also a factor to be taken into consideration.
[0008] Superconductor (HTS) filters have very deep slopes and low insertion loss, while
they also have a small size and low weight making them very suitable in radio frequency
(RF) subsystems for high-performance radio communications systems.
[0009] At present, the applications are limited to RF receiver filters for radio base stations
while transmitter filter applications are still too difficult to be realized because
of the very high power levels that these HTS structures would be required to handle
in the transmitters.
[0010] Transmission lines and waveguides are used to transport elctromagnetic energy at
microwave frequencies from one point to another in a system without radiation of energy
taking place. Basically, as is described in the book "Foundations for microwave engineering"
by Robert E. Collin (McGraw-Hill Book Company), transmission lines consist of two
or more parallell conductors an will guide nearly a transverse electromagnetic (TEM)
wave. The common forms of transmission lines are the two-conductor line, the shielded
two-conductor line, and the coaxial line. Another form of transmission line that has
come into prominence in recent years is the microwave strip line, which consist of
a thin conducting ribbon separated from a wider ground plane by a dielectric sheet
or placed between two ground planes to form a shielded structure, as shown in the
example of figure 1. The two main advantages obtained with strip lines are the reduction
in size and weight and the ability to use printed circuit techniques for the construction
of the strip lines and associated components such as bends, junctions, filters, etc.
a good introduction to striplines and associated components may be found in a special
issue of I RE
Transactions devoted entirely to this subject. See Special Issue on Microwave Strip Circuits,
IRE
Trans., vol. MTT-3, March, 1955.
[0011] An example of a superconducting filter (= stripline resonator) structure is shown
in figures 1a and 1b. The stripline (figure 1a) has a center conductor 1, an upper
and lower ground plane 2, 3, and a symmetric dieletric 4. The resonator (figure 1b)
consists of a length of transmission line 5, patterned by photolitography, one half
wavelength long at the fundamental frequency. Overtone resonances occur at all multiples
of the fundamental frequency. The resonator is capacitively coupled to the external
cicuit gaps at the two ends of the stripline. The resonator is fabricated from three
separate films on three substrates clambed together in a copper package with RF connections
on it. The length of the transmission line is chosen to yield a desired frequency.
[0012] The main problem is that, with increasing input radio frequency (RF) power, the current
density at the edges of, for instance, a superconducting microstripline resonator
increases rapidly to such a large value that various non-linear effects, such as intermodulation
distortion and harmonic generation, may appear and degrade, therefore, the performance
of the filter.
[0013] The non-linear effects in superconductors are of interest both for practical applications
and for the study of the fundamental properties of the materials. In a practical application,
the designer must know how much power the superconductors can handle and at which
power level the non-linear effects become appreciable.
[0014] Attempts have been made to improve the power handling capability of the filters by
for example studying the non-linearity dynamic and by improving material properties.
[0015] The article "Nonlinear microwave properties of superconducting Nb microstrip resonators"
by M.A. Golosovsky, 1995 The American Physical Society, Physical review B, Volume
51, number 10 handles correlation between material properties of the films and the
occurence of non-linearity. Reference to the articles "Non-linear electrodynamics
of superconducting NbN and Nb thin films at microwave frequencies" by C.C. Chin et
al., 1992 The American Physical Society, Physical review B, Volume 45, number 9 and
"Nonlinearity of Superconducting Transmission line and Microstrip Resonator" by Orest
G. vendik et al. IEEE Transactions on microwave theory and techniques, VOL. 45. No2,
february 1997 are made with respect to the theory of the non-linear electrodynamics.
A model for current distribution in superconductive filters can be found e.g. in "Measurements
and Modeling of Linear and Nonlinear Effects in Striplines" by D.E. Oates et al. Journal
of Superconductivity, Vol 5, no 4, 1992.
[0016] The earlier solutions to improve power handling capability have however not been
able to improve the filters sufficiently to be able to use them in e.g. radio transmitters.
[0017] The object of the invention is to improve the power-handling capability of superconducting
filters so as to find new applications for their use.
SUMMARY OF THE INVENTION
[0018] The method of the invention is used in a high-power superconducting filter of transmission
line type. It is mainly characterized in that the peak value of the operating voltage
and the characteristic impedance of the superconducting filter are chosen in such
a way that the peak current is kept at a sufficiently low value so that non-linear
effects induced by a high current density become neglible for a proper operation of
the filter.
[0019] The method of the invention improves the power handling capacity of superconducting
filters. When for any specified (time-averaged) power P that a superconducting filter
has to handle linearly, the peak value of the operating voltage
Vp and the characteristic impedance Z
r of the superconducting filter are chosen in such a way that the peak current
Ip flowing in the superconductors (usually superconducting thin films) in the filter
is kept to a sufficiently low value,
IL (Ip <
IL) depending on superconducting material and its geometry chosen, so that all non-linear
effects induced otherwise by excessively high current density in superconductors become
neglible for the proper (linear) operation of the filter. The proper value of V
P (=peak value) can be chosen by using the equation
Vp = 2P/
IL.
[0020] Furthermore, the characteristic impedance Z
r of the transmission line (e.g. a microstripline) can be chosen by
which is necessary to keep the peak current
Ip in the superconducting thin films at (or below) the proper level of
IL to avoid possible non-linear effects caused by high current density inside the superconductor.
[0021] IL depends on the superconductive material and its geometry used in the filter. In general,
the proper current value of
IL introduced in this invention is an experimentally determined quantity, which depends
on the superconductive material used in the filter construction and the geometric
size and shape of the superconducting stripline. For instance, the magnetic vortex
dynamic properties and the energy gap of the superconductive material play important
roles in affecting the value of
IL. The geometric size and shape of the superconducting microstripline may also affect
IL by the local current density and its distribution in the superconductive material.
Some detailed discussion on the subject may be found in ,for instance, recent book
by S:-A. Zhou, published by John Wiley & sons, Inc., New York, 1999.
[0022] The inventor of the invention has introduced a new way of thinking in designing superconducting
filters. By releasing the usual requirement of a 50Ω impedance of the input and output
port of the filter which existed for component matching reasons, the invention gives
the freedom to choose the parameters of the invention in a suitable way.
FIGURES
[0023] Figure 1 is an example of a prior art stripline resonator
[0024] Figure 2 is an example of a filter of the invention
DETAILED DESCRIPTION
[0025] The variation in time of the current and the voltage of the filter of the invention
may be described by a waveform, which varies sinusoidally in time, t.
for a single-tone signal assuming that V and I are in phase. ω is the angular frequency
in rad/s. The term
Vp is termed the peak voltage and the term
Ip is termed the peak current. It is the maximum value, positive and negative, taken
by the voltage over the course of one cycle.
[0026] Averages of waveforms give useful information as is explained in the article Electric
Circuit Analysis, Principles and Applications, by K.F. Sanders, Emeritus Professor,
University of Bristol published in ELECTRONIC SYSTEMS ENGINEERING SERIES, 1992.
[0027] The average of the square of the current waveform I(t), or the means square, is denoted
by <
I2> and is calculated from
where T = 2π/ω is the periodic time.
[0028] The mean square is relevant for the calculation of the average power dissipated in
a resistor carrying the current I(t). The instantaneous rate of dissipation of energy
in a resistance R is
[0029] Thus the average power is equal to
[0030] A measure of magnitude for a wave form of which the average <I> is zero is provided
by the root-mean square (RMS) value given by
by inserting the expression for <
I2> we get
and by inserting the expression for
I(t) we get
as sin
2x = ½(1-cos2x), we get
which is
[0031] Similarly, we can get
[0032] The calculation of power bears similarities to the calculations of mean squares in
that a product of time-varying functions are involved. In the case of power, these
are the voltage
V(t) and the current
I(t)
[0033] When the wave forms are periodic, then the power is also periodic. The average power
is given by
which by calculation gives
and finally
which is the formula used in the inevntion and which also can be written as
EXAMPLES
[0034] It is supposed that there exist a superconducting microstripline type of filter with
a linear power handling capability of 1W with an operating peak voltage of 10V and
the characteristic impedance of 50 Ω of its microstripline (resonator). Thus, assuming
a sinusoid wave form, the peak current is then 0,2 A.
[0035] A superconducting microstripline type of filter is now designed in accordance with
the invention, which is supposed to be capable of handling the time averaged power
of P = 50W with sufficiently good linearity. For simplicity, we may let that the geometric
sizes (cross sectional area) of the superconducting microstripline (signal line) in
our filter is kept the same as that in the above example.
[0036] Thus, since the filter in the above example is supposed to work well with sufficiently
good linearity for the peak current value of 0,2 A, we may set I
L = 0,2 A in our case, which implies that the peak current I
p in our case (filter) is not allowed to be higher than I
L = 0,2 A. Thus, to get the linear power handling capability of P = 50 W, the operating
peak voltage has to be at least
according to the equation used in the invention, and furthermore the characteristic
imoedance Z
r of the microstripline in our filter has to be chosen as
according to the second equation used in the invention.
[0037] Essentially, the method is to let the high-power superconducting filter be operated
at high-voltage and with high impedance transmission line structures so that the peak
current (density) in superconductors (usually HTS thin films) of the resonator can
be kept sufficiently low to avoid undesired non-linear effects caused otherwise by
excessively high current density inside the superconductors.
[0038] In a practical example of the invention, transformers may be used at the input and
output sides of the superconducting (bandpass) filter as shown illustratevile in figure
2 in order to raise the operating voltage V
r for the filter and to match the output impedance Z
1 of a power amplifier and the input impedance Z
2 of an antenna. Both the transformers and the filter may be made by superconductors,
depending on application. An alternative is to use other types of impedance matching
network, such as transmission line matching etc.
[0039] Figure 2 illustrates a part of a radio transmitter of the invention. A power amplifier
10 is used after the signal processing to amplify the radio signal to a power sufficient
to be sent to an antenna. A band pass filter 11 is used to filter out undesired frequency
components. The filter is a superconducting filter, whose peak voltage and characteristic
impedance are chosen in a way so that the peak current does not exceed a certain value.
The construction of the filter is indicated in the detailed view of reference number
12. The filter consists of superconductors 13 on both sides of a dielectric 14. The
voltage V
r of the filter is the voltage between the superconductors 13. To raise the voltage
to a sufficient level transformer 15 may be used at the input of the filter 11 and
to match the input impedance of the antenna, transformer 16 may be used at the output
of the filter 11. The signal of desired frequency band may then be sent through the
antenna 17.
1. Method in high-power superconducting filter of transmission line type,
characterized in that the peak value of the operating voltage and the characteristic impedance of the superconducting
filter are chosen in such a way that the peak current is kept at a sufficiently low
value so that non-linear effects induced by a high current density become neglible
for a proper operation of the filter.
2. Method of claim 1,characterized in that the peak value of the operating voltage VP is chosen by using the equation VP = 2P/IL, where P is the average power that the filter has to handle, and IL is the current level below which nonlinear effects of the superconductors are neglible.
3. Method of claim 2, characterized in that IL depends on the superconductive material and its geometry used in the filter.
4. Method of claim 1, charaterized in that the the characteristic impedance Z
r of the filter (e.g. a microstripline) can be chosen by
5. High-power superconducting filter of transmission line type,
characterized in that the peak value of the operating voltage and the characteristic impedance of the superconducting
filter is chosen in such a way that the peak current is kept at a sufficiently low
value so that non-linear effects induced by high current density become neglible for
a proper operation of the filter.
6. Filter of claim 5, characterized in that the peak value of the operating voltage VP is chosen by using the equation VP = 2P/IL
where P is the average power that the filter has to handle, and
IL is the current level below which nonlinear effects of the superconductors are neglible.
7. Filter of claim 5,
characterized in that the the characteristic impedance Z
r of the filter (e.g. a microstripline) can be chosen by
8. Radio transmitter for transmitting radio signal of desired frequencies consisting
of a signal processing unit, a frequency generator/ modulator, a power amplifier and
a filtering unit for filtering out undesired frequency components,
characterized in that the filter is a high-power superconducting filter, wherein the peak value of the
operating voltage and the characteristic impedance of the superconducting filter is
chosen in such a way that the peak current is kept at a sufficiently low value so
that non-linear effects induced by a high current density become neglible for a proper
operation of the filter.