Methods, systems, and non-transitory computer readable media for wideband frequency and bandwidth tunable filtering
Methods, systems, and computer readable media for wideband frequency and bandwidth tunable filtering are disclosed. According to one aspect, the subject matter described herein includes a wideband frequency and bandwidth tunable filter that splits a filter input signal into first and second input signals, modifies the first input signal to produce a first output signal, modifies the second input signal to produce a second output signal having an intermediate frequency response, and combines the first and second output signals while adjusting their relative phases and/or amplitudes to produce a filter output signal with the target frequency response. Adjustment includes splitting the second input signal into third and fourth input signals, which are modified and then combined to produce the second output signal having the intermediate frequency response.
1. A method for wideband frequency and bandwidth tunable filtering, the method comprising:
receiving a signal ( 102 ) for which wideband frequency and bandwidth tunable filtering is desired;
splitting the signal ( 102 ) into first and second input signals ( 102 A, 102 B);
delaying the first input signal ( 102 A) relative to the second input signal ( 102 B) to produce a first output signal ( 110 );
modifying the second input signal ( 102 B) to create a second output signal ( 114 ) having a desired frequency spectrum, wherein creating the second output signal ( 114 ) having the desired frequency spectrum includes creating a presaturated signal ( 130 ) having at least one of a desired phase, amplitude, and delay relative to the second input signal ( 102 B), modifying the presaturated signal ( 130 ) to produce first and second limit signals ( 130 A, 130 B), and combining the first and second limit signals ( 130 A, 130 B) to create the second output signal ( 114 ) having the desired frequency spectrum;
adjusting at least one of phase, delay, amplitude magnitude, amplitude sign, and frequency spectrum of the second output signal ( 114 ) with respect to the first output signal 110 ; and
combining the second output signal ( 114 ) with the first output signal ( 110 ) to create a combined output signal ( 104 ) having the desired frequency response.
2. The method of claim 1 wherein modifying the second input signal ( 102 B) to create a second output signal ( 114 ) having a desired frequency spectrum comprises creating a second output signal ( 114 ) having at least one of a passband frequency response and a null passband frequency response.
3. The method of claim 1 wherein modifying the second input signal ( 102 B) to create a second output signal ( 114 ) having a desired frequency spectrum comprises adjusting at least one of a target center frequency and a target bandwidth of the desired frequency spectrum.
4. The method of claim 1 wherein creating the second output signal ( 114 ) having the desired frequency spectrum includes conditioning the second input signal ( 102 B) prior to modifying the second input signal ( 102 B).
5. The method of claim 4 wherein conditioning the second input signal ( 102 B) includes at least partially saturating the second input signal ( 102 B) with respect to a target frequency.
6. The method of claim 4 wherein conditioning the second input signal ( 102 B) includes at least partially saturating with respect to a target frequency a signal provided by a signal generation circuit and combining the at least partially saturated signal with the second input signal ( 102 B).
7. The method of claim 1 wherein modifying the presaturated signal ( 130 ) to produce a first and second limit signals ( 130 A, 130 B) comprises modifying at least on of amplitude, phase, and delay of the presaturated signal.
8. The method of claim 1 wherein adjusting at least one of phase, delay, amplitude magnitude, amplitude sign, and frequency spectrum of the second output signal ( 114 ) with respect to the first output signal ( 110 ) includes using a feed-forward method.
9. The method of claim 1 wherein adjusting at least one of phase, delay, amplitude magnitude, amplitude sign, and frequency spectrum of the second output signal ( 114 ) with respect to the first output signal ( 110 ) includes performing a deterministic algorithm.
10. The method of claim 9 wherein performing a deterministic algorithm includes determining an amplitude (a) of the first input signal ( 102 A), introducing a first phase shift (φ 1 ) into at least one of the first input signal ( 102 A) and the second output signal ( 114 ), determining a first amplitude (β) of the combined output signal ( 104 ), determining a target phase shift (φ) based on a relationship between α and β, and introducing the target phase shift φ into the at least one of the first input signal ( 102 A) and the second output signal ( 114 ).
11. The method of claim 10 wherein determining Φ based on a relationship between α and β comprises calculating a first pair of prospective phase shifts using the equation ΦP1=φ1+π+/−2 ARCOS(β/2α), and selecting one phase shift from the first pair of prospective phase shifts ΦP1 as the target phase shift Φ.
12. The method of claim 11 wherein performing the deterministic algorithm includes introducing a second phase shift (φ 2 ) into the at least one of the first input signal ( 102 A) and the second output signal ( 114 ), determining a second amplitude (δ) of the combined output signal ( 104 ), calculating a second pair of prospective phase shifts using the equation ΦP2=φ2+π+/−2 ARCOS(δ/2α), and selecting one phase shift from the first and second pairs of prospective phase shifts ΦP1 and ΦP2 as the target phase shift Φ.
13. The method of claim 1 wherein the signal ( 102 ) for which wideband frequency and bandwidth tunable filtering is required is a received signal Rx that contains both a desired signal S and transmit interference Tx′, wherein the second input signal ( 102 B) comprises data to be transmitted Tx, and wherein the combined output signal 104 having the desired frequency response comprises a filtered output signal that contains S and in which the presence of transmit interference Tx′ is reduced.
14. The method of claim 13 wherein the received signal Rx is received from a first antenna, the data to be transmitted Tx is sent from a second antenna, and the transmit interference Tx′ comprises interference from the second antenna.
15. The method of claim 13 wherein the received signal Rx is received from a first antenna, the data to be transmitted Tx is sent from the first antenna, and the transmit interference Tx′ comprises signal reflections within the first antenna.
16. A non-transitory computer readable medium having stored thereon executable instructions that when executed by the processor of a computer control the computer to perform steps comprising:
receiving a signal ( 102 ) for which wideband frequency and bandwidth tunable filtering is desired;
splitting the signal ( 102 ) into first and second input signals ( 102 A, 102 B), the second input signal 102 B having at least one of a desired phase, amplitude, and delay relative to the first input signal ( 102 A);
delaying the first input signal ( 102 A) relative to the second input signal ( 102 B) to produce a first output signal ( 110 );
modifying the second input signal ( 102 B) to create a second output signal ( 114 ) having a desired frequency spectrum, wherein creating the second output signal ( 114 ) having the desired frequency spectrum includes creating a presaturated signal ( 130 ) having at least one of a desired phase, amplitude, and delay relative to the second input signal ( 102 B), modifying the presaturated signal ( 130 ) to produce first and second limit signals ( 130 A, 130 B), and combining the first and second limit signals ( 130 A, 130 B) to create the second output signal ( 114 ) having the desired frequency spectrum;
adjusting at least one of phase, delay, amplitude magnitude, amplitude sign, and frequency spectrum of the second output signal ( 114 ) with respect to the first output signal ( 110 ); and
combining the second output signal ( 114 ) with the first output signal ( 110 ) to create a combined output signal ( 104 ) having the desired frequency response.