The present invention relates generally to integrated filters, and more particularly to high-Q integrated filters for operation at radio frequencies (RF) and their associated tuning.
Filters find widespread use in radio transceivers.
In one or more embodiments, a system for high-Q integrated RF filters is provided. In one embodiment, the system comprises novel LC filters and a Q-enhancement circuit that can be integrated to overcome problems associated with conventional filters. The LC filters provide a sharp frequency notch while the Q-enhancement circuit creates negative resistance to improve the quality factor (Q) of these and other LC resonators. Because the filters and Q-enhancement circuit can be integrated, they are suitable for use in a variety of radio transceiver applications where conventional circuits are too bulky or expensive.
In one embodiment, a filter system is provided that comprises a resonate LC filter, and a Q-enhancement circuit coupled to the resonate LC filter, wherein the Q-enhancement circuit operates to improve a quality factor of the filter system.
In one embodiment, a communication device is provided that includes an amplifier and a filter system. The filter system comprises a resonate LC filter, and a Q-enhancement circuit coupled to the resonate LC filter, wherein the Q-enhancement circuit operates to improve a quality factor of the filter system.
The forgoing aspects and the attendant advantages of the described embodiments will become more readily apparent by reference to the following detailed description when taken in conjunction with the accompanying drawings wherein:
a-b show a diagrams of two simple LC resonators;
a-b shows graphs that illustrate the impedance and amplitude as a function of frequency for the resonators shown in
a-b show graphs that illustrate the impedance transfer functions for the filter networks shown in
In one or more embodiments, a system for high-Q integrated RF filters is provided. In a radio transceiver, the two candidates for RF filter integration are the transmit band filter (TXF) and the image reject filter (IRF) shown in
The location of the image signal in a radio receiver depends on the architecture and frequency plan of the system. A heterodyne radio receiver uses two or more downconverting mixers to translate the RF signal to baseband. As such, the image frequency of the first downconverting mixer is separated from the receive signal by twice the IF frequency. The image frequency problem becomes especially challenging in low-IF receiver architectures. A direct conversion receiver avoids this problem but may be subject to strong leakage from the transmitter in full duplex systems. In this situation, the image reject filter (IRF) acts as either a receive band filter or a transmit band notch filter.
A typical filter is formed using resonators. In the case of electrical filters, these resonators are comprised of inductors and capacitors. Practical values for integrated inductors are a few to several nanohenries, while integrated capacitors are limited to tens of picofarads. These components exhibit losses—characterized by a parameter known as quality factor (Q)—which makes them appear non-ideal.
for series and parallel resistances, respectively. In practice, the quality factor Q for integrated components is usually less than fifty.
Another definition for the quality factor Q indicates the sharpness of the frequency response, with;
where Δω is the one-sided 3 dB bandwidth.
a-b show simple LC resonators that are series and parallel connected, respectively. The series LC resonator is described by the following equation;
Zin=s2+ωo2
where s equals jω and ωo represents the resonance frequency;
The impedance of this network dips at the resonance frequency (i.e., 1880 MHz) as shown in the impedance and amplitude graphs shown in
Zin=(s2+ωo2)−1
which peaks at the resonance frequency (i.e., 1960 MHz). This response is also shown in the impedance and amplitude graphs provided in
The LC resonator shown in
The network shown in
ωnotch=(√{square root over (L1(C1+C2))})−1
At higher frequencies, YC2>YL2 and capacitor C2 appears in series with capacitor C1. This forms a simple parallel LC resonator with inductor L1 that resonates at;
In practice, the values of inductor L1 and capacitor C2 are much bigger than inductor L2 and capacitor C1, respectively. Capacitor C3 is needed for large values of resistor R1.
The LC resonator network shown in
In the network shown in
ωpass=(√{square root over ((L1+L2)C1)})−1
At higher frequencies, YC2>YL2 and inductor L2 appears in parallel with inductor L1. Since the admittance of inductor L2 is much higher than inductor L1, a low impedance path is formed at;
and a notch is produced. For this filter, the values of inductor L1 and capacitor C2 are also much bigger than inductor L2 and capacitor C1.
a-b show graphs that illustrate the impedance transfer functions for the filter networks shown in
The quality factor Q for integrated components is insufficient to realize the high-Q filters needed at the front-end of the radio transceiver. To address these applications, the quality factor Q must be improved, which is possible by introducing negative resistance (to reduce the loss modeled by resistance RP. In fact, an infinite quality factor Q is developed when the negative resistance exactly cancels RP.
Vin−I1R1−Vbe1+Vbe2+I2R2=V+
The base-emitter voltages of transistors Q1 and Q2 are approximately equal if the input voltage difference (Vin−V+) is less than the product IT1R1. (Note that the linearity of the circuit depends on this product.) This allows the above equation to be rewritten as;
Vin−(I1−I2)R=V+
when R=R1=R2. With
and
the input difference current becomes;
Transistors Q1 through Q4 form a differential current mirror governed by the following equality;
Using I2=IT1−I1 plus I3=IT2−I4 and then simplifying, the resulting equation yields;
I4=k(IT2−I4)
where
Finally, solving for I4 provides;
I4=M(IT1−I1)
where M is the ratio of bias currents
This means that the output current Iout is a scaled version of current I2, which varies oppositely to input current I1 and input voltage Vin. By definition, this provides an adjustable negative resistance.
It's important that the LC filter networks and the Q-enhancement circuit discussed above introduce as little noise and distortion as possible. This aspect is aided by the fact that the negative resistance circuit does not connect directly to the output of the filter.
Lastly, tuning of the resonant frequency and quality factor for a high-Q filter is especially important.
The present invention includes a novel LC filter network and Q-enhancement circuit used to provide a narrowband notch filter response. The circuits enable monolithic integration and thereby eliminate bulky and expensive SAW and ceramic filters. The embodiments described above are illustrative and are not intended to limit the scope of the invention to the particular embodiments described. It should be noted that embodiments of the system are suitable for use in a variety of communication devices, including but not limited to, mobile telephone, PDAs, notebook computers, pagers, email devices and any other type of device that could benefit by the use of one or more embodiments of the system for high-Q integrated RF filters.
Accordingly, while one or more embodiments of a system for high-Q integrated RF filters have been illustrated and described, it will be appreciated that various changes can be made to the embodiments without departing from their spirit or essential characteristics. Therefore, the disclosures and descriptions herein are intended to be illustrative, but not limiting, of the scope of the invention which is set forth in the following claims.
The present invention claims the benefit of priority from a co-pending U.S Provisional application entitled “HIGH-Q INTEGRATED RF FILTERS” having Ser. No. 60/564,016 and filed on Apr. 21, 2004, the disclosure of which is incorporated herein by reference for all purposes.
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