CN109586758B - Interference elimination method and transmitting and receiving device - Google Patents

Interference elimination method and transmitting and receiving device Download PDF

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CN109586758B
CN109586758B CN201710899047.XA CN201710899047A CN109586758B CN 109586758 B CN109586758 B CN 109586758B CN 201710899047 A CN201710899047 A CN 201710899047A CN 109586758 B CN109586758 B CN 109586758B
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CN109586758A (en
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王晋良
陈冠凯
詹闵超
王文山
张元硕
林盈熙
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Realtek Semiconductor Corp
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B1/00Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
    • H04B1/38Transceivers, i.e. devices in which transmitter and receiver form a structural unit and in which at least one part is used for functions of transmitting and receiving
    • H04B1/40Circuits
    • H04B1/50Circuits using different frequencies for the two directions of communication
    • H04B1/52Hybrid arrangements, i.e. arrangements for transition from single-path two-direction transmission to single-direction transmission on each of two paths or vice versa
    • H04B1/525Hybrid arrangements, i.e. arrangements for transition from single-path two-direction transmission to single-direction transmission on each of two paths or vice versa with means for reducing leakage of transmitter signal into the receiver

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Abstract

The application discloses an interference elimination method and a transmitting and receiving device, wherein the interference elimination method comprises the following steps: performing energy-taking operation on a signal to be transmitted at a plurality of times to generate a plurality of signal energies to be transmitted; performing a first high-frequency operation on the energy of a signal to be transmitted to generate a high-frequency operation result to be transmitted; performing a second high frequency operation on the received signal to generate a received high frequency operation result; adjusting a plurality of filter coefficients according to a high-frequency operation result to be transmitted and a high-frequency operation result to be received; and generating a restored signal according to the filter coefficients.

Description

Interference elimination method and transmitting and receiving device
Technical Field
The present invention relates to an interference cancellation method and a transmission/reception apparatus, and more particularly, to an interference cancellation method and a transmission/reception apparatus for canceling interference caused by signal leakage.
Background
Frequency Division Duplex (FDD) technology has been widely used in communication systems such as UMTS, LTE, and LTE-a. The frequency division multiplexing technique uses a duplexer including two Band Pass Filters (BPFs) to isolate the transmit signal from the receive signal. In general, the transmit signal does not leak into the receive Chain (RX Chain). However, the hardware area of the transceiver is continuously miniaturized, which makes it difficult for the duplexer to provide sufficient isolation to isolate the transmission and reception signals, resulting in a phenomenon of transmission Signal Leakage (TX Signal Leakage).
Furthermore, radio frequency Front End (RF Front End) components such as power amplifiers, amplifiers and mixers in the receiver have non-ideal/non-linear effects (Nonlinearity) such as second order intermodulation (IM2), third order intermodulation (CM3) and third order intermodulation (IM3), in other words, the non-ideal/non-linear effects of the radio frequency Front End components cause out-of-band (OOB) interference to the received signal.
Therefore, it is one of the objectives of the industry to eliminate the interference caused by the leakage of the transmission signal in the frequency division multiplexing system.
Disclosure of Invention
Therefore, it is a primary objective of the present invention to provide an interference cancellation method and a transceiver for eliminating interference caused by leakage of a transmission signal in a frequency division multiplexing system, so as to overcome the drawbacks of the related art.
The scheme discloses an interference elimination method, which is applied to an interference elimination module of a transmitting and receiving device, wherein the interference elimination module is coupled between a transmission chain and a receiving chain of the transmitting and receiving device and generates a recovery signal according to a signal to be transmitted at an input end of the transmission chain and a received signal at an output end of the receiving chain; performing a first high-frequency operation on the energy of a signal to be transmitted to generate a high-frequency operation result to be transmitted; performing a second high frequency operation on the received signal to generate a received high frequency operation result; adjusting a plurality of filter coefficients according to a high-frequency operation result to be transmitted and a high-frequency operation result to be received; and generating a restored signal according to the filter coefficients.
A transmitter/receiver includes a transmission chain, a reception chain, a duplexer, and an interference cancellation module. The duplexer is coupled between the output terminal of the transmission chain and the input terminal of the receiving chain. The interference elimination module is coupled between the input end of the transmission chain and the output end of the receiving chain and used for generating a recovery signal according to a signal to be transmitted at the input end and a received signal at the output end, and the interference elimination module comprises an energy module, a first high-frequency filter, a second high-frequency filter and an adaptive filtering submodule. The energy module performs energy-taking operation on the signals to be transmitted in a plurality of times to generate a plurality of signal energies to be transmitted. The first high-frequency filter performs a first high-frequency operation on the energy of the signal to be transmitted to generate a high-frequency operation result to be transmitted. The second high-frequency filter is used for carrying out second high-frequency operation on the received signal so as to generate a received high-frequency operation result; and the adaptive filtering submodule is used for adjusting a plurality of filter coefficients according to the high-frequency operation result to be transmitted and the high-frequency operation result to be received and generating a reduction signal according to the filter coefficients.
Drawings
Fig. 1 is a schematic diagram of a transceiver according to an embodiment of the present disclosure.
Fig. 2 is a schematic diagram of an interference cancellation module according to an embodiment of the disclosure.
Fig. 3 is a diagram illustrating an interference cancellation procedure according to an embodiment of the present disclosure.
Fig. 4 is a schematic diagram of a coefficient adjustment process according to an embodiment of the present disclosure.
Fig. 5 is a diagram of an adaptive filtering sub-module according to an embodiment of the present disclosure.
Fig. 6 is a schematic diagram of an adaptive filtering sub-module according to an embodiment of the present disclosure.
Detailed Description
Fig. 1 is a schematic diagram of a Transceiving Device (Transceiving Device)10 according to an embodiment of the present disclosure. The transceiver 10 operates in a communication system (e.g., UMTS, LTE, and LTE-a) using Frequency Division Duplex (FDD) technology, in other words, the intended signal and the intended signal of the transceiver 10 belong to two different frequency bands. For convenience of explanation, the following description will use the transmitting and receiving device 10 as the user terminal device (UE) to send the transmission request signal of the transmitting and receiving device 10 "ULIs marked and transmits the signal to be received of the transmitting and receiving device 10 "DL"" mark it. However, the transmitting and receiving device 10 is not limited to be a user terminal device, and the transmitting and receiving device 10 may be a wireless Station (Station) or a Base Station (Base Station).
The transmitter 10 includes a transmission Chain (TX Chain)12_ t, a reception Chain (RX Chain)12_ r, and a Duplexer (Duplexer) 14. The input terminal of the transmission chain 12_ t receives a signal x to be transmittedULAnd generates a RF signal s to be transmittedUL. The duplexer 14 is coupled to the transmission chain 12_ t and an antenna Ant of the transmitting and receiving device 10, the antenna Ant receiving a radio frequency signal s from another device 10DLWherein the radio frequency is to receive a signal sDLA transmission chain 12_ t 'of the representative device 10' is based on a signal x to be receivedDLGenerates and passes through Path attenuation (Path Loss) to reach the radio frequency signal of the antenna Ant. The receive chain 12_ r is coupled to the duplexer 14, and an input end of the receive chain 12_ r receives a signal r, where the signal r may be represented as r ═ sDL+ρsULWhere p represents the blocking attenuation applied by duplexer 14. The receiving chain 12_ r reduces the signal r from the radio frequency to the base frequency and converts it into a digital signal, i.e. generates a receiving signal d according to the signal r, wherein the signal x to be transmittedULA signal x to be receivedDLAnd the received signal d is a baseband digital signal, the RF signal s to be transmittedULA radio frequency signal s to be receivedDLAnd the signal r is a radio frequency analog signal.
The structure of the transmit chain 12_ t and the receive chain 12_ r is briefly described as follows. The transmission chain 12_ t comprises a digital-to-analog converter DAC, a low-pass filter LPFTMixer MXTAnd a power amplifier PA, the receive chain 12_ r comprising a low noise amplifier LNA, a mixer MXRLPF (low pass filter)RAnd an analog-to-digital converter ADC, which outputs a received signal d.
If the blocking attenuation ρ is not sufficient to generate a sufficient isolation, a transmission Signal Leakage (TX Signal Leakage) may occur, and in addition, the power amplifier PA, the amplifier LNA, and the mixer MX may be generatedR-The non-ideal/non-linear effects (Nonlinearity) of these components may cause the transmit signal leakage to cause out-of-band (OOB) interference on the receive signal d. That is, the received signal d outputted by the receive chain 12_ r includes some signals x to be transmittedULInstead of simply being the signal x to be receivedDLThe decoding accuracy of the base-band Decoder (Baseband Decoder) of the receive chain 12_ r is reduced.
In order to reduce/eliminate the interference component in the received signal d, the transmission/reception apparatus 10 includes an interference cancellation module 16, the interference cancellation module 16 is coupled between the input terminal of the transmission chain 12_ t and the output terminal of the reception chain 12_ r, the interference cancellation module 16 can transmit the signal x according to the signal x (at the input terminal of the transmission chain 12_ t)ULThe received signal d (at the output of the receive chain 12_ r) is related to the signal x to be transmittedULSo that a restored signal e outputted by the interference cancellation module 16 can approach (approach) the signal x to be receivedDL
Specifically, interference cancellation module 16 may include an adaptive filter that may adaptively be adaptedAdjusting the filter coefficient, and generating a restored signal e by using the filter coefficient to make it approach to the signal x to be receivedDL
Fig. 3 is a flowchart illustrating an operation of the interference cancellation module 16, and fig. 3 is a schematic diagram illustrating an interference cancellation process 30 according to an embodiment of the present disclosure. In one embodiment, the interference cancellation process 30 may be performed by the interference cancellation module 16, which includes the following steps:
step 302: at a plurality of times, performing an energy-taking operation on the signal to be transmitted to generate a plurality of signal energies to be transmitted, wherein the plurality of signal energies to be transmitted form a vector of energy to be transmitted.
Step 304: a first high frequency operation is performed on the energy vector to be transmitted to generate a high frequency operation result to be transmitted.
Step 306: a second high frequency operation is performed on the received signal to generate a received high frequency operation result.
Step 308: adjusting a plurality of filter coefficients according to the high frequency operation result to be transmitted and the high frequency operation result to be received.
Step 310: generating the restored signal according to the plurality of filter coefficients.
For the convenience of the following description, the signal x to be transmitted received by the interference cancellation module 16 at the time n is described belowULIs marked as xUL[n]The received signal d received at time n is denoted as d [ n ]]And n is a time index.
In step 302, the interference cancellation module 16 transmits signals x to be transmitted at different timesUL[n]Performing an energy-obtaining operation to obtain the energy | x of the signal to be transmittedUL[n]|2、|xUL[n-1]|2、|xUL[n-2]|2…, etc., for convenience of description, a desired energy vector x may be formed for every L desired signal energies, e.g., a desired energy vector x formed at time nnCan be expressed as xn=[|xUL[n]|2,…,|xUL[n-L+1]|2]T. Where L is the length of the adaptive filter.
In step 304, the interference cancellation module 16 performs a first high frequency operation on the energy vector x to be transmitted to generate a high frequency operation result x' to be transmitted. In some embodiments, the first high frequency operation is conceptually related to a first transfer function H1First transfer function H1In the z-Domain (z-Domain) the notation is H1(z)=(1-z-1)kWherein k represents a positive integer. In the embodiment where k is 1, the first transfer function H1Is H1(z)=1-z-1The high frequency calculation result x' (denoted as x) is transmitted according to the time n and k is 1n(1)) Is xn(1)=xn-xn-1. In the embodiment where k is 2, the first conversion function H1Is H1(z)=(1-z-1)2The high-frequency calculation result x ' (denoted as x ') is transmitted for the device at time n and k is 2 '(2)) Is xn(2)=xn-2xn-1+xn-2
In step 306, the interference cancellation module 16 performs a second high frequency operation on the received signal d to generate a received high frequency operation result d'. In some embodiments, the second high frequency operation corresponds to a second transfer function H2Second transfer function H2In the z-domain the representation is H2(z)=(1-z-1)k(k is a positive integer). In the embodiment where k is 1, the second transfer function H2Is H2(z)=1-z-1The received high frequency operation result d corresponding to k 1 and time nn' (noted as d)n(1)) Is dn(1)=d[n]-d[n-1]. In the embodiment where k is 2, the second transfer function H2Is H2(z)=(1-z-1)2The received high frequency operation result d corresponding to k 2 and time nn' (noted as d)n(2)) Is dn(2)=d[n]-2d[n-1]+d[n-2]。
In short, for positive integers k (especially when k is>2 hours), high frequency operation result x is transmittedn(k)(reception of the high frequency operation result dn(k)) And the desired energy vectorxn,xn-1,…,xn-k(reception signal d [ n ]],d[n-1],…,d[n-k]) The relationship between the patterns (Pattern) conforms to the Pattern of Pascal's Triangle, which can be derived by those skilled in the art and will not be described herein.
In step 308, the interference cancellation module 16 adjusts the filter coefficient h [0] of the adaptive filter (of length L) according to the high frequency operation result x 'to be transmitted and the high frequency operation result d' to be received],…,h[L-1]. Wherein the coefficient h [0]],…,h[L-1]A coefficient vector h ═ h [0] can be formed]…h[L-1]]TThe filter coefficient at time n is denoted as hn[0],…,hn[L-1]The coefficient vector h at time n is denoted as hn
In some embodiments, the initial value of the coefficient vector may be set to a predetermined vector. For example, h0Can be set to 0, i.e. the coefficient h [0]],…,h[L-1]Are all 0.
Referring to fig. 4 together to describe details regarding step 308, fig. 4 is a schematic diagram of a coefficient adjustment process 40 according to an embodiment of the present disclosure, in which the coefficient adjustment process 40 includes the following steps:
step 402: a first filtering operation is performed on the result x 'to be transmitted according to the filter coefficients h 0, …, h L-1 at a first time to generate a high-frequency filtering result y'.
Step 404: the received high frequency operation result d ' is subtracted from the high frequency filtering result y ' to generate a high frequency error e '.
Step 406: the filter coefficients h 0, …, h L-1 are adjusted in accordance with the high frequency error e'.
In step 402, the interference cancellation module 16 may utilize a coefficient vector h at time nnFor the transmission of the high frequency operation result xn'conducting the first filtering operation to generate a high frequency filtering result y' corresponding to the time n]Is y' [ n ]]=hn H xn'. In step 404, the interference cancellation module 16 may apply a high frequency error e' n corresponding to time n]Is e' [ n ]]=d’[n]-y’[n]Wherein d' [ n ]]Is the received high frequency operation result d' corresponding to time n.
In step 406, the interference cancellation module 16 may utilize an Adaptive Algorithm (Adaptive Algorithm) with an Error Feedback (Error Feedback) mechanism according to the high frequency Error e' [ n ]]Adjusting filter coefficient h [0]],…,h[L-1]. Specifically, for any time m, interference cancellation module 16 may adjust the coefficient vector to be hm+1=hm+Δhm+1Wherein Δ hm+1Is an adjustment amount, which is related to the high frequency error e' [ m ]]. In other words, the interference cancellation module 16 may be based on the high frequency error e' [ m ]]Calculating an adjustment amount Δ hm+1To generate an adjusted coefficient vector hm+1I.e. to generate adjusted filter coefficients. In one embodiment, the interference cancellation module 16 may utilize an adaptive Normalized Least Mean Square (NLMS) algorithm based on the high frequency error e' [ n ]]Calculating an adjustment amount Δ hn+1Is composed of
Figure GDA0002629584250000071
Where μ is the Step parameter (Step Size), c is the value to prevent the denominator being 0 from causing Δ hn+1Excessive constant, adjustment Δ hn+1Proportional to the high frequency error e' [ n ]]And the result x of the high frequency operation to be transmittedn' of the product.
In step 310, the interference cancellation module 16 calculates a filter coefficient h [0] from the coefficient vector h],…,h[L-1]Performing a filtering operation on the energy vector x to be transmitted to obtain a filtering result y ═ hHx and outputs a restored signal e as the subtraction result of the received signal d and the filtered result y, i.e. e-d-hHx. In detail, the interference cancellation module 16 may perform the interference cancellation according to the coefficient vector h corresponding to the time nnFor the energy vector x to be transmitted corresponding to the time nnPerforming filtering operation to generate filtering result y [ n ] corresponding to time n]=hn H xnAnd outputs a restored signal e [ n ] corresponding to the time n]For receiving a signal d [ n ]]And the filtering result y [ n ]]The result of the subtraction of (i.e. e n)]=d[n]-hn H xn
In some embodiments, step 310 may be performed after step 302.
Briefly, interference cancellationThe module 16 transmits the high frequency operation result x to the first high frequency operationn'As an input signal of the first adaptive filter, the received high frequency operation result d' of the second high frequency operation is used [ n ]]As a target Signal (Desire Signal) of the first adaptive filter, a filtering result (h) of the first adaptive filter is addedn H xn') and a target signal (d' [ n ]]) The difference between them is taken as the error signal of the first adaptive filter (i.e. e' [ n ]]=d’[n]-hn H xn') and adjusts the filter coefficients (h) in response to the error signaln+1). In addition, the interference cancellation module 16 will send the energy vector x to be transmittednAs an input signal for a second adaptive filter, the received signal d [ n ]]As a target signal of the second adaptive filter, a filtering result (h) of the second adaptive filter is setn H xn) And target signal (d [ n ]]) Error signal (d [ n ]) between]-hn H xn) As the output of the interference cancellation module 16 (i.e., the restored signal e n]=d[n]-hn H xn)。
On the other hand, the module for realizing interference elimination by the NLMS algorithm directly transmits energy vector x to be transmittednAs input signal of adaptive filter, directly using received signal d [ n ]]As a target signal of the adaptive filter, a filtering result (h) of the adaptive filter is appliedn H xn) And a received signal d [ n ]]Error signal (d [ n ]) between]-hn H xn) As the output of the interference cancellation module. Because the received signal d contains some signals x to be transmittedULSo that the conventional approach of using NLMS algorithm will be to use xULThe components are eliminated, and the system performance is adversely affected. In contrast, the present disclosure first relates to the transmission signal x by using the first high frequency filtering operation and the second filtering operationULIs filtered (for adjacent times, e.g., time n and n-1, the transmitted signal xULAt d [ n ]]And d [ n-1 ]]Medium can be regarded as a low-frequency component), then the filter coefficients are adjusted according to the high-frequency operation result, so as to restore the signal e [ n ]]=d[n]-hn H xnCan approach the desired receiving signalNumber xDL
Alternatively, the interference cancellation module 16 is implemented by a Digital Signal Processor (DSP) or other processor with computing function, i.e. the interference cancellation process 30 and the coefficient adjustment process 40 can be compiled into program codes to be executed by the interference cancellation module 16/DSP. In addition, the interference cancellation module 16 may be implemented by using digital circuits (e.g., RTL circuits). For example, referring to fig. 2, fig. 2 is a schematic diagram of an interference cancellation module 26 according to an embodiment of the disclosure, and the interference cancellation module 26 may be used to implement the interference cancellation module 16. The interference cancellation module 26 includes an energy module 20, a first high frequency filter 22, a second high frequency filter 24, and an adaptive filtering submodule 28, the energy module 20 being configured to perform step 302, the first high frequency filter 22 being configured to perform step 304, the second high frequency filter 24 being configured to perform step 306, and the adaptive filtering submodule 28 being configured to perform steps 308, 310. Further, the adaptive filtering sub-module 28 comprises filters 21a, 21b, subtracters SB1, SB2 and a coefficient calculation unit CCU, wherein the filter 21a is used for executing step 402 in step 308, the subtracter SB1 is used for executing step 404 in step 308, the coefficient calculation unit CCU is used for executing step 406 in step 308, and the filter 21b and the subtracter SB2 are used for executing step 310.
In addition, in order to make the circuit operate better, the interference cancellation module can also deduct the direct current component, wherein the direct current component can be adjusted according to the recovery signal. Specifically, the interference cancellation module may output a restored signal e [ n ]]Is e [ n ]]=d[n]-hn Hxn-hDC,nWherein h isDC,nFor the DC component corresponding to time n, in one embodiment, the interference cancellation module may utilize a conventional LMS algorithm to recover signal e [ n ]]Adjusting the DC component hDC,nI.e. hDC,n+1=hDC,nDC e[n]In which μDCThe step parameters are adjusted for the corresponding dc component. Fig. 5 and 6 are schematic diagrams of adaptive filtering sub-modules 58 and 68 according to an embodiment of the present disclosure, in which the adaptive filtering sub-modules 58 and 68 respectively include dc cancellation units 50 and 60, the dc cancellation units 50 and 60 are both coupled to a subtractor SB2, and the dc cancellation unit50. 60 is used to subtract the result d n]-hn H xnMinus the DC component hDC,nTo output a restore signal e [ n ]]Is e [ n ]]=d[n]-hn H xn-hDC,n. The dc removing units 50, 60 respectively include dc adjusting units 52, 62, and the dc adjusting units 52, 62 are used for reducing the signal e [ n ]]Adjusting the DC component hDC,nI.e. the dc adjustment units 52, 62 are used to calculate hDC,n+1=hDC,nDC e[n]。
It should be noted that, in the present embodiment, the step 406/coefficient calculating unit CCU is not limited to using NLMS algorithm to adjust the filter coefficients according to the high frequency error, but may also use Recursive Least Square (RLS) algorithm to adjust the filter coefficients, as long as the coefficient calculating unit CCU adjusts the filter coefficients according to the high frequency error (i.e. x after high frequency operation)nThe difference between 'and d') is included in this disclosure.
In summary, the present disclosure utilizes high frequency filtering operation to filter out the components related to the transmitted signal, and then adjusts the filter coefficients according to the high frequency operation result, so that the restored signal can approach the signal to be received.
[ notation ] to show
10. 10' device
12_ t, 12_ t' transport chain
12_ r receive chain
14 duplexer
16. 26 interference elimination module
30. 40 flow path
302 to 310, 402 to 406
50. 60 DC eliminating unit
52. 62 DC adjusting unit
58. 68 adaptive filtering submodule
ADC and DAC converter
Ant antenna
CCU coefficient calculation unit
d ', x' high frequency operation result
e、r、xDL、xUL、sDL、sULD signal
e' high frequency error
h. x vector
LNA, PA amplifier
LPFT、LPFRLow-pass filter
MXT、MXRMixer with frequency-modulated wave-mixing function
y' high frequency filtering result
And rho decaying.

Claims (10)

1. An interference cancellation method applied to an interference cancellation module of a transmitting device, the interference cancellation module being coupled between a transmit chain and a receive chain of the transmitting device and generating a restored signal according to a signal to be transmitted at an input end of the transmit chain and a received signal at an output end of the receive chain, the interference cancellation method comprising:
performing an energy-taking operation on the signal to be transmitted at a plurality of times to generate a plurality of signal energies to be transmitted;
performing a first high frequency operation on the energy of the signals to be transmitted to generate a high frequency operation result to be transmitted;
performing a second high frequency operation on the received signal to generate a received high frequency operation result;
adjusting a plurality of filter coefficients according to the high frequency operation result to be transmitted and the high frequency operation result to be received; and
the restored signal is generated according to the filter coefficients.
2. The method of claim 1, wherein the step of adjusting the filter coefficients comprises:
performing a filtering operation on the high-frequency operation result to be transmitted according to the unadjusted filter coefficient to generate a high-frequency filtering result;
subtracting the high-frequency filtering result from the received high-frequency operation result to obtain a high-frequency error; and
and adjusting the unadjusted filter coefficients according to the high-frequency error.
3. A transceiving apparatus, comprising:
a transmission chain;
a receive chain;
a duplexer coupled between an output of the transmit chain and an input of the receive chain; and
an interference cancellation module, coupled between an input of the transmit chain and an output of the receive chain, for generating a restored signal according to a signal to be transmitted at the input and a received signal at the output, the interference cancellation module comprising:
an energy module for performing an energy-taking operation on the signal to be transmitted at a plurality of times to generate a plurality of signal energies to be transmitted;
a first high frequency filter for performing a first high frequency operation on the energy of the signals to be transmitted to generate a result of the high frequency operation to be transmitted;
a second high frequency filter for performing a second high frequency operation on the received signal to generate a received high frequency operation result; and
an adaptive filtering sub-module for adjusting a plurality of filter coefficients according to the high frequency operation result to be transmitted and the high frequency operation result to be received, and generating the restored signal according to the filter coefficients.
4. The transceiver of claim 3, wherein the first high frequency is higher than the second high frequencyThe operation is related to a first transfer function represented in the z-domain by H1(z)=(1-z-1)kIn which H is1(z) represents the first transfer function, and k represents a positive integer.
5. The transceiver of claim 3, wherein the second high frequency operation corresponds to a second transfer function expressed in the z-domain as H2(z)=(1-z-1)kIn which H is2(z) represents the second transfer function, and k represents a positive integer.
6. The transceiver of claim 3, wherein the adaptive filtering sub-module comprises:
a first filter for performing a first filtering operation on the high frequency operation result to be transmitted according to the unadjusted filter coefficient to generate a high frequency filtering result; and
a first subtracter for subtracting the high-frequency filtering result from the received high-frequency operation result to obtain a high-frequency error.
7. The transceiver of claim 6, wherein the adaptive filtering sub-module comprises:
a coefficient calculating unit for calculating an adjustment amount according to the high frequency error, and adding the adjustment amount to the unadjusted filter coefficients to generate adjusted filter coefficients;
wherein the adjustment amount is proportional to a multiplication result of the high frequency error and the high frequency operation result to be transmitted.
8. The transceiver of claim 3, wherein the adaptive filtering sub-module comprises:
a second filter for performing a filtering operation on the energy of the signals to be transmitted according to the filter coefficients to obtain a filtering result; and
a second subtracter for calculating a subtraction result of the received signal and the filtering result;
wherein the adaptive filtering sub-module outputs the restored signal related to the subtraction result.
9. The transceiver of claim 8, wherein the adaptive filtering sub-module further comprises:
a DC eliminating unit coupled to the second subtracter for subtracting a DC component from the subtraction result to generate the reduction signal.
10. The transceiver of claim 9, wherein the dc cancellation unit comprises:
a DC adjustment unit for adjusting the DC component according to the recovery signal.
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