TWI664844B - Joint estimation and compensation method for solving radio frequency imperfection factor - Google Patents

Joint estimation and compensation method for solving radio frequency imperfection factor Download PDF

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TWI664844B
TWI664844B TW106139551A TW106139551A TWI664844B TW I664844 B TWI664844 B TW I664844B TW 106139551 A TW106139551 A TW 106139551A TW 106139551 A TW106139551 A TW 106139551A TW I664844 B TWI664844 B TW I664844B
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鄧俊宏
詹元鳳
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元智大學
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Abstract

本發明係為一種解決射頻不完美因子之聯合估測補償方法,其步驟包括建立不完美之聯合訊號模型,以接收不完美的接收訊號並根據聯合模型對接收訊號之時域偏移、載波頻率偏移、直流偏移以及不平衡訊號進行估測,以產生時域偏移參數、載波頻率偏移參數、直流偏移參數、相位不平衡參數以及增益不平衡參數,並藉由上述參數補償不完美的接收訊號,來產生一補償訊號。因此本發明可計算出影響射頻不完美的各項參數,以根據參數對接收訊號做補償,來產生一個較完美的訊號。The present invention is a joint estimation and compensation method for solving radio frequency imperfection factors, and the steps include establishing an imperfect joint signal model to receive an imperfect reception signal and time-domain offset and carrier frequency of the received signal according to the joint model. Offset, DC offset, and unbalanced signals are estimated to generate time domain offset parameters, carrier frequency offset parameters, DC offset parameters, phase imbalance parameters, and gain imbalance parameters, and are compensated by the above parameters. Perfect reception signal to generate a compensation signal. Therefore, the present invention can calculate various parameters affecting the radio frequency imperfection, and compensate the received signal according to the parameter to generate a perfect signal.

Description

解決射頻不完美因子之聯合估測補償方法Joint estimation and compensation method for solving radio frequency imperfection factor

本發明係有關一種訊號補償技術,特別是指一種解決射頻不完美因子之聯合估測補償方法。The invention relates to a signal compensation technology, in particular to a joint estimation compensation method for solving radio frequency imperfection factors.

在高速率通訊系統的時代,實現低成本、低功耗以及追求小巧的外型為現今收發機架構設計的主要考量,其中高速率通訊的長期演進技術(Long Term Evolution,LTE)可用來提高無線網路的傳輸容量和傳輸速率,以支援更強大無線通訊的需求。In the era of high-rate communication systems, low-cost, low-power, and small-sized form factor are the main considerations for today's transceiver architecture design. Long Term Evolution (LTE) for high-speed communication can be used to improve wireless. The transmission capacity and transmission rate of the network to support the need for more powerful wireless communication.

在長期演進技術傳輸系統中,在射頻前端會有額外的射頻損傷(RF impairments)發生,例如IQ不平衡(In-phase / Quadrature-phase imbalance)、整形濾波器不平衡(shaping filter imbalance)和直流偏移等的問題。詳細來說,在發射端的數位訊號轉換到基頻訊號時,會將基頻訊號分為I/Q二路,並分別經過本地震盪器(LO)相乘,再將訊號載至射頻以天線發送出去;同理,接收端接收到訊號時則反向轉換訊號並解調。但發射端與接收端產生弦波的震盪器通常不會完全的匹配,不論是振幅大小、相位差異或震盪頻率等都有可能存在誤差。其中當振幅上的大小不一致時稱為振幅不平衡,而相位未呈現完美正交時,即稱為相位不平衡,這二種不平衡就被合稱為IQ不平衡。除此之外,為了限制頻寬,收發器必須以脈波整形濾波器來減少訊號頻寬,以符合系統頻寬限制,並減少符號間干擾(Inter-symbol Interference,ISI),目前是使用尼奎斯特濾波器(Nyquist filter)和平方根升餘弦(square-root-raise-cosine,SRRC)來整形發射端或接收端的傳送訊號,但當發射端與接收端採用不同整形濾波器時,將會導致發射端與接收端之間有整形濾波器不平衡之問題。再者,許多使用者為了降低成本,會使用較便宜的直接轉換架構,因而在轉換過程中,部分的本地震盪器功率會洩漏至RF訊號,並混合至傳送訊號,導致在傳送端產生IQ直流偏移之缺陷影響。In the long-term evolution technology transmission system, there are additional RF impairments at the RF front end, such as In-phase / Quadrature-phase imbalance, shaping filter imbalance, and DC. Problems such as offsets. In detail, when the digital signal at the transmitting end is converted to the fundamental frequency signal, the fundamental frequency signal is divided into I/Q two-way signals, which are respectively multiplied by the local oscillator (LO), and then the signal is transmitted to the radio frequency to be transmitted by the antenna. Going out; similarly, when the receiving end receives the signal, it reversely converts the signal and demodulates it. However, oscillators that generate sine waves at the transmitting end and the receiving end usually do not match completely, and there may be errors in amplitude, phase difference, or oscillation frequency. When the magnitudes of the amplitudes are inconsistent, it is called amplitude imbalance, and when the phase does not exhibit perfect quadrature, it is called phase imbalance. These two imbalances are collectively referred to as IQ imbalance. In addition, in order to limit the bandwidth, the transceiver must use a pulse shaping filter to reduce the signal bandwidth to comply with the system bandwidth limit and reduce inter-symbol interference (ISI). The Nyquist filter and the square-root-raise-cosine (SRRC) are used to shape the transmission signal at the transmitting end or the receiving end, but when the transmitting end and the receiving end use different shaping filters, There is a problem that the shaping filter is unbalanced between the transmitting end and the receiving end. Furthermore, many users will use a cheaper direct conversion architecture in order to reduce costs. Therefore, during the conversion process, part of the oscillator power will leak to the RF signal and be mixed to transmit signals, resulting in IQ DC at the transmitting end. The impact of the offset defect.

除此之外,由於室內或室外環境的折射、繞射或散射等因素的影響,導致接收端在不同延遲時間接收到二個或多個不同路徑的訊號,同樣會導致符號間干擾,並導致性能降低。另外在發射端與接收端之間的射頻模組升降頻轉換時,由於振盪器的不完全同步將導致頻率偏移,且因高速移動產生的都卜勒頻移亦會導致載波頻率偏移,而在採取單載波分頻多工存取與正交分頻多工存取技術之系統中,載波頻率偏移影響甚鉅,不但會干擾無線通訊系統的傳輸,亦會導致載波間干擾(Inter-carrier Interference,ICI)。In addition, due to factors such as refraction, diffraction or scattering of indoor or outdoor environments, the receiver receives two or more signals of different paths at different delay times, which also causes intersymbol interference and leads to Performance is reduced. In addition, when the RF module between the transmitting end and the receiving end is up-converted, the frequency offset may be caused due to incomplete synchronization of the oscillator, and the Doppler shift caused by the high-speed movement may also cause the carrier frequency to shift. In a system that adopts single-carrier frequency division multiplexing access and orthogonal frequency division multiplexing access technology, the carrier frequency offset has a great influence, which not only interferes with the transmission of the wireless communication system, but also causes inter-carrier interference (Inter -carrier Interference, ICI).

有鑑於此,本發明遂針對上述習知技術之缺失,提出一種解決射頻不完美因子之聯合估測補償方法,以有效克服上述之該等問題。In view of this, the present invention proposes a joint estimation and compensation method for solving radio frequency imperfection factors in order to effectively overcome the above problems in view of the above-mentioned shortcomings of the prior art.

本發明之主要目的係在提供一種解決射頻不完美因子之聯合估測補償方法,其可針對不完美的訊號,進行訊號不平衡之聯合估測與補償,解決時域偏移、載波頻率偏移、直流偏移、相位不平衡以及增益不平衡等問題,以有效達到補償不完美射頻訊號。The main object of the present invention is to provide a joint estimation and compensation method for solving radio frequency imperfection factors, which can perform joint estimation and compensation of signal imbalance for imperfect signals, and solve time domain offset and carrier frequency offset. , DC offset, phase imbalance, and gain imbalance, to effectively compensate for imperfect RF signals.

本發明之另一目的係在提供一種解決射頻不完美因子之聯合估測補償方法,其能在接收端計算出補償訊號的參數,並回傳給發射端,使發射端根據參數,對接收訊號做預補償,以產生一個較完美的接收訊號給接收端,能避免接收端再次透過繁複的步驟處理接收訊號,可降低接收端的負擔。Another object of the present invention is to provide a joint estimation and compensation method for solving a radio frequency imperfection factor, which can calculate a parameter of a compensation signal at a receiving end and transmit it back to a transmitting end, so that the transmitting end receives the signal according to the parameter. Pre-compensation is performed to generate a perfect reception signal to the receiving end, which can prevent the receiving end from processing the received signal again through complicated steps, thereby reducing the burden on the receiving end.

為達上述之目的,本發明係提供一種解決射頻不完美因子之聯合估測補償方法,步驟包括,首先建立一具有不完美射頻的聯合訊號模型;接收不完美的一接收訊號,以根據聯合訊號模型對接收訊號中之時域偏移進行估測,以估算時域偏移參數,再根據聯合訊號模型對接收訊號中之載波頻率偏移進行估測,以估算載波頻率偏移參數;接著,根據聯合訊號模型對接收訊號中之直流偏移以及不平衡訊號進行估測,其中不平衡訊號包括相位不平衡以及增益不平衡,以取得直流偏移參數、相位不平衡參數以及增益不平衡參數;最後根據上述估測出的時域偏移參數、載波頻率偏移參數、直流偏移參數、相位不平衡參數以及增益不平衡參數,補償不完美的接收訊號,以產生一補償訊號。To achieve the above object, the present invention provides a joint estimation and compensation method for solving an RF imperfection factor, the steps comprising: first establishing a joint signal model having an imperfect radio frequency; receiving an imperfect reception signal to receive a joint signal according to the joint signal The model estimates the time domain offset in the received signal to estimate the time domain offset parameter, and then estimates the carrier frequency offset in the received signal according to the joint signal model to estimate the carrier frequency offset parameter; then, Estimating the DC offset and the unbalanced signal in the received signal according to the joint signal model, wherein the unbalanced signal includes a phase imbalance and a gain imbalance to obtain a DC offset parameter, a phase imbalance parameter, and a gain imbalance parameter; Finally, according to the estimated time domain offset parameter, carrier frequency offset parameter, DC offset parameter, phase imbalance parameter and gain imbalance parameter, the imperfect reception signal is compensated to generate a compensation signal.

其中根據聯合訊號模型對接收訊號進行聯合直流偏移以及不平衡訊號進行估測之步驟係對接收訊號進行遞迴運算,以取得複數等化係數以及直流偏移參數;接著將等化係數轉化為反矩陣的形式,並取得反矩陣內之係數,以分別代入一相位不平衡參數方程式以及一增益不平衡參數方程式,以產生相位不平衡參數以及增益不平衡參數。其中相位不平衡參數方程式(1)如下所示: (1) 其中 為相位不平衡參數, 為進行反矩陣後的等化係數。增益不平衡參數方程式(2)則如下所示: (2) 其中 為相位不平衡參數,且 為進行反矩陣後的該等化係數。 The step of estimating the combined DC offset and the unbalanced signal according to the joint signal model is to perform a recursive operation on the received signal to obtain a complex equalization coefficient and a DC offset parameter; and then convert the equalization coefficient into The form of the inverse matrix, and the coefficients in the inverse matrix are obtained to substitute a phase imbalance parameter equation and a gain imbalance parameter equation to generate a phase imbalance parameter and a gain imbalance parameter. The phase imbalance parameter equation (1) is as follows: (1) where For the phase imbalance parameter, , , The equalization coefficient after the inverse matrix. The gain imbalance parameter equation (2) is as follows: (2) where Is a phase imbalance parameter, and , , , The equalization coefficient after the inverse matrix is performed.

底下藉由具體實施例詳加說明,當更容易瞭解本發明之目的、技術內容、特點及其所達成之功效。The purpose, technical content, features and effects achieved by the present invention will be more readily understood by the detailed description of the embodiments.

請參照第一圖,其係應用於解決射頻不完美因子之聯合估測補償方法之系統架構,如圖所示,一發射端10可為具有處理器(圖中未示)的無線電平台裝置,發射端10可用以產生並發出訊號。一接收端20亦為具備處理器(圖中未示)之無線電平台裝置,接收端20內更設有一等化器22,等化器22中可儲存射頻不完美的聯合訊號模型,當接收端20接收發射端10發出不完美的一接收訊號,接收端20即可透過等化器22中所儲存的射頻不完美的聯合訊號模型,對接收訊號進行估測,以計算出不完美接收訊號的各項補償參數。Please refer to the first figure, which is applied to a system architecture for solving a joint estimation and compensation method for radio frequency imperfection factors. As shown, a transmitting end 10 can be a radio platform device having a processor (not shown). The transmitting end 10 can be used to generate and emit a signal. A receiving end 20 is also a radio platform device having a processor (not shown). The receiving end 20 further includes an equalizer 22, and the equalizer 22 can store a radio signal imperfect joint signal model. The receiving end 10 sends an imperfect receiving signal, and the receiving end 20 can estimate the received signal through the radio frequency imperfect joint signal model stored in the equalizer 22 to calculate the imperfect receiving signal. Various compensation parameters.

說明完本發明所應用之系統架構後,接續說明本發明之步驟流程。請參照第一圖並配合第二圖,如圖所示,請參步驟S10,首先在接收端20的等化器22中建立一射頻不完美的聯合訊號模型。接著進入步驟S12,發射端10發出一訊號至接收端20,使接收端20接收一不完美的接收訊號,其中不完美的接收訊號包含了時域偏移、載波頻率偏移、直流偏移、不平衡等問題,當接收端20接收到接收訊號後,利用等化器22進行估測,以根據聯合訊號模型對接收訊號中之時域偏移進行估測,以估算時域偏移參數,估算時域偏移參數之步驟係先將接收訊號之功率最大化後,再代入聯合訊號模型中的一時域偏移估測遞迴方程式進行遞迴運算,以找出取樣最佳時間點,作為時域偏移參數,其中時域偏移估測遞迴方程式(7)如下所示: (7) 其中 為時域偏移參數,k為取樣時間點, 為常數,x為功率最大化接收訊號,T為周期,M為過取樣(oversampling)的大小, 為取樣時刻點之常數。 After the description of the system architecture to which the present invention is applied, the flow of the steps of the present invention will be described. Referring to the first figure and the second figure, as shown in the figure, referring to step S10, first, a radio frequency imperfect joint signal model is established in the equalizer 22 of the receiving end 20. Then, proceeding to step S12, the transmitting end 10 sends a signal to the receiving end 20, so that the receiving end 20 receives an imperfect receiving signal, wherein the imperfect receiving signal includes a time domain offset, a carrier frequency offset, a DC offset, When the receiving end 20 receives the received signal, the receiving unit 20 performs estimation by using the equalizer 22 to estimate the time domain offset in the received signal according to the joint signal model to estimate the time domain offset parameter. The step of estimating the time domain offset parameter is to first maximize the power of the received signal, and then substitute a time domain offset estimation recursive equation in the joint signal model to perform a recursive operation to find the optimal time point for sampling. The time domain offset parameter, where the time domain offset estimation recursive equation (7) is as follows: (7) where For the time domain offset parameter, k is the sampling time point, Constant, x is the power to maximize the received signal, T is the period, and M is the oversampling size. It is a constant for sampling time points.

在計算出時域偏移參數之後,接著進入步驟S14,等化器22持續利用聯合訊號模型對接收訊號中之載波頻率偏移進行估測,以估算載波頻率偏移參數,其中估算載波頻率偏移參數係使用科斯塔斯環遞迴(costas loop)運算式計算,將接收訊號後代入聯合訊號模型之一載波頻率偏移遞迴方程式,以計算出載波頻率偏移參數,載波頻率偏移遞迴方程式(8)如下所示: (8) 其中 為載波頻率偏移參數,k為取樣時間點, 為訊號平滑係數,LPF為低通濾波,r為接收訊號, 為週期, 為頻率。 After calculating the time domain offset parameter, proceeding to step S14, the equalizer 22 continues to estimate the carrier frequency offset in the received signal by using the joint signal model to estimate the carrier frequency offset parameter, wherein the carrier frequency offset is estimated. The shift parameter is calculated by using the Costas loop calculation equation, and the received signal is substituted into one of the joint signal models to calculate the carrier frequency offset parameter, and the carrier frequency offset is transmitted. The equation (8) is as follows: (8) where For the carrier frequency offset parameter, k is the sampling time point, For the signal smoothing coefficient, LPF is low-pass filtering, r is the receiving signal, For the cycle, For the frequency.

接下來如步驟S16所示,利用等化器22中的聯合訊號模型,持續對接收訊號中之直流偏移以及不平衡訊號進行估測,其中不平衡訊號包括有相位不平衡以及增益不平衡,因此等化器22可根據聯合訊號模型估測出直流偏移以及不平衡訊號來取得直流偏移參數、相位不平衡參數以及增益不平衡參數。其中估測直流偏移參數、相位不平衡參數以及增益不平衡參數之步驟係利用等化器22對接收訊號進行遞迴運算,將I通道之接收訊號代入一I通道遞迴運算式,以取得I通道的等化係數以及直流偏移參數,同時也將Q通道之接收訊號代入一Q通道遞迴運算式,以取得Q通道的等化係數以及直流偏移參數,其中I通道遞迴運算式(5)如下所示: (5) 其中 為等化係數, 為直流偏移參數,k為一常數, 為平滑係數,avg為取平均值, 為誤差項, 為I通道的接收訊號, 為Q通道的接收訊號;Q通道遞迴運算式(6)如下所示: (6) 其中 以及 為等化係數, 為直流偏移參數,k為一常數, 為平滑係數,avg為取平均值, 為誤差項, 為I通道的接收訊號, 為Q通道的接收訊號。本實施例根據上述運算式取得等化係數 ,以及直流偏移參數 之後,再將等化係數轉化為反矩陣的形式,以取得反矩陣內之係數,反矩陣的形式如下所示: 接著將 分別代入一相位不平衡參數方程式以及一增益不平衡參數方程式,以產生相位不平衡參數以及增益不平衡參數。其中相位不平衡參數方程式(1)為: (1) 其中 為相位不平衡參數, 為進行反矩陣後的等化係數。其中增益不平衡參數方程式(2)如下所示: (2) 其中 為相位不平衡參數,且 為進行反矩陣後的等化係數。 Next, as shown in step S16, using the joint signal model in the equalizer 22, the DC offset and the unbalanced signal in the received signal are continuously estimated, wherein the unbalanced signal includes phase imbalance and gain imbalance. Therefore, the equalizer 22 can estimate the DC offset and the unbalance signal according to the joint signal model to obtain the DC offset parameter, the phase imbalance parameter, and the gain imbalance parameter. The steps of estimating the DC offset parameter, the phase imbalance parameter and the gain imbalance parameter are performed by the equalizer 22 to perform a reciprocal operation on the received signal, and the received signal of the I channel is substituted into an I channel recursive operation to obtain The equalization coefficient of the I channel and the DC offset parameter are also substituted into the Q channel recursive expression of the Q channel to obtain the equalization coefficient of the Q channel and the DC offset parameter, wherein the I channel recursive expression (5) as shown below: (5) where and To equalize the coefficient, For the DC offset parameter, k is a constant, For the smoothing factor, avg is the average value. For the error term, For the receive signal of the I channel, The receiving signal for the Q channel; the Q channel recursive equation (6) is as follows: (6) where as well as To equalize the coefficient, For the DC offset parameter, k is a constant, For the smoothing factor, avg is the average value. For the error term, For the receive signal of the I channel, Receive signal for the Q channel. In this embodiment, the equalization coefficient is obtained according to the above operation formula , and And DC offset parameters , After that, the equalization coefficient is converted into the form of the inverse matrix to obtain the coefficients in the inverse matrix. The form of the inverse matrix is as follows: Then will , A phase imbalance parameter equation and a gain imbalance parameter equation are respectively substituted to generate a phase imbalance parameter and a gain imbalance parameter. The phase imbalance parameter equation (1) is: (1) where For the phase imbalance parameter, , The equalization coefficient after the inverse matrix. The gain imbalance parameter equation (2) is as follows: (2) where Is a phase imbalance parameter, and , , , The equalization coefficient after the inverse matrix.

產生相位不平衡參數以及增益不平衡參數之步驟後,更包括計算接收訊號中一I通道直流偏移參數以及一Q通道直流偏移參數,其計算方法係將上述I通道遞迴運算式,以及Q通道遞迴運算式所計算出的直流偏移參數 ,代入一IQ通道直流偏移參數方程式,以取得I通道以及Q通道的直流偏移參數 ,其中IQ通道直流偏移參數方程式(3)如下所示: (3) 其中 為直流偏移參數, 為I通道直流偏移參數, 為Q通道直流偏移參數。 After the step of generating the phase unbalance parameter and the gain unbalance parameter, the method further comprises: calculating an I channel DC offset parameter and a Q channel DC offset parameter in the received signal, wherein the calculating method is to recursive the I channel, and DC offset parameter calculated by Q channel recursive expression , Substituting an IQ channel DC offset parameter equation to obtain the DC offset parameters of the I channel and the Q channel , where the IQ channel DC offset parameter equation (3) is as follows: (3) where , For the DC offset parameter, For the I channel DC offset parameter, It is the Q channel DC offset parameter.

最後進入步驟S18,計算出時域偏移參數、載波頻率偏移參數、直流偏移參數、相位不平衡參數以及增益不平衡參數後,接收端20再將上述估測所得到的所有參數回傳至發射端10,提供發射端10利用上述參數對不完美的接收訊號進行補償,以產生一補償訊號後由發射端10發出。Finally, the process proceeds to step S18, and after calculating the time domain offset parameter, the carrier frequency offset parameter, the DC offset parameter, the phase imbalance parameter, and the gain imbalance parameter, the receiving end 20 returns all the parameters obtained by the above estimation. To the transmitting end 10, the transmitting end 10 is provided with the above parameters to compensate for the imperfect receiving signal to generate a compensation signal and then sent by the transmitting end 10.

除之外,本發明更可在直接發射端10使用一預補償矩陣,對發射端10發出的訊號進行預補償,以產生一個較完美的訊號出去,其中預補償方程式(4)為: (4) 其中E為預處理矩陣,Q為Q通道的一發射訊號,I為I通道的一發射訊號, 為Q通道的補償訊號, 為I通道的補償訊號, 為相位不平衡參數。 In addition, the present invention can use a pre-compensation matrix at the direct transmitting end 10 to pre-compensate the signal from the transmitting end 10 to generate a perfect signal, wherein the pre-compensation equation (4) is: (4) Where E is the preprocessing matrix, Q is a transmit signal of the Q channel, and I is a transmit signal of the I channel. The compensation signal for the Q channel, For the compensation signal of the I channel, For the phase imbalance parameter.

本發明除了上述實施例,利用接收端20接收接收訊號,並在等化器22中估測出時域偏移參數、載波頻率偏移參數、直流偏移參數、相位不平衡參數以及增益不平衡參數後,將上述參數回傳給發射端10,使發射端10直接針對訊號進行補償,以直接發出補償訊號之外,本發明更提供另一實施例,其係提供發射端10發出訊號給接收端20,使接收端20在等化器22中對接收訊號進行參數估測,並直接在接收端20中對接收訊號進行補償,以產生補償訊號,詳述如下。In addition to the above embodiment, the present invention receives the received signal by the receiving end 20, and estimates the time domain offset parameter, the carrier frequency offset parameter, the DC offset parameter, the phase imbalance parameter, and the gain imbalance in the equalizer 22. After the parameter is sent back to the transmitting end 10, so that the transmitting end 10 directly compensates for the signal to directly issue the compensation signal, the present invention further provides another embodiment, which provides the transmitting end 10 to send a signal to the receiving end. The terminal 20 causes the receiving end 20 to perform parameter estimation on the received signal in the equalizer 22, and directly compensates the received signal in the receiving end 20 to generate a compensation signal, which is described in detail below.

本實施例解決射頻不完美因子之聯合估測補償方法所應用的系統架構與上述實施例相同,故不重複敘述系統架構。請配合參照第一圖與第三圖,在等化器22中建立射頻不完美之聯合訊號模型,接收端20接收發射端10發出的不完美之接收訊號,以及在等化器22中估算時域偏移參數與載波頻率偏移參數之步驟S20至步驟S24的方法,與上述實施例步驟S10至步驟S24之方法完全相同,故不再重複敘述。接著說明步驟S26,接收端20的等化器22在估算相位不平衡參數、增益不平衡參數、I通道直流偏移參數以及一Q通道直流偏移參數時,首先等化器22先對接收訊號進行聯合直流偏移以及不平衡訊號進行估測,等化器22對接收訊號進行遞迴運算,將I通道之接收訊號代入一I通道遞迴運算式,以取得I通道的等化係數以及直流偏移參數,同時將Q通道之接收訊號代入一Q通道遞迴運算式,以取得Q通道的等化係數以及直流偏移參數,其中I通道遞迴運算式與Q通道遞迴運算式與上述實施例相同,故不重複列出。經過上述運算取得等化係數 以及直流偏移參數 之後,將等化係數轉化為反矩陣的形式,以取得反矩陣內之係數,如下所示: 接著將 分別代入下列相位不平衡參數方程式以及增益不平衡參數方程式進行計算,其中相位不平衡參數方程(9)如下所示: (9) 其中 為相位不平衡參數, 為等化係數反矩陣之數值;計算增益不平衡參數之增益不平衡參數方程式(10)如下所示: (10) 其中 為該相位不平衡參數,且0 為等化係數反矩陣之數值。 The system architecture applied to the joint estimation and compensation method for solving the radio frequency imperfection factor in this embodiment is the same as that of the above embodiment, so the system architecture is not repeated. Referring to the first and third figures, a joint signal model of radio frequency imperfection is established in the equalizer 22, and the receiving end 20 receives the imperfect reception signal from the transmitting end 10 and is estimated in the equalizer 22. The method of step S20 to step S24 of the domain offset parameter and the carrier frequency offset parameter is exactly the same as the method of step S10 to step S24 of the above embodiment, and therefore the description will not be repeated. Next, in step S26, when the equalizer 22 of the receiving end 20 estimates the phase imbalance parameter, the gain imbalance parameter, the I channel DC offset parameter, and a Q channel DC offset parameter, the equalizer 22 first receives the received signal. The joint DC offset and the unbalanced signal are estimated, and the equalizer 22 performs a recursive operation on the received signal, and the received signal of the I channel is substituted into an I channel recursive operation to obtain the equalization coefficient of the I channel and the DC. Offset parameter, at the same time, the Q channel receiving signal is substituted into a Q channel recursive arithmetic formula to obtain the Q channel equalization coefficient and the DC offset parameter, wherein the I channel recursive operation formula and the Q channel recursive operation formula and the above The embodiments are the same and therefore are not listed repeatedly. After the above operation, the equalization coefficient is obtained. , and And DC offset parameters , After that, the equalization coefficient is converted into the form of the inverse matrix to obtain the coefficients in the inverse matrix, as follows: Then will , Calculate by substituting the following phase imbalance parameter equation and gain imbalance parameter equation, where the phase imbalance parameter equation (9) is as follows: (9) where For the phase imbalance parameter, , , The value of the inverse matrix of the equalization coefficient; the gain imbalance parameter equation (10) for calculating the gain imbalance parameter is as follows: (10) where For this phase imbalance parameter, and 0 , , To equalize the value of the inverse matrix of the coefficient.

在產生相位不平衡參數以及增益不平衡參數之步驟後,更計算接收訊號中一I通道直流偏移參數以及一Q通道直流偏移參數,將直流偏移參數代入一IQ通道直流偏移參數方程式,以取得I通道以及Q通道的直流偏移參數 ,IQ通道直流偏移參數方程式(11)如下所示: (11) 其中F為等化係數轉化為矩陣的形式, 為直流偏移參數, 為I通道直流偏移參數, 為Q通道直流偏移參數。 After the step of generating the phase unbalance parameter and the gain unbalance parameter, calculating an I channel DC offset parameter and a Q channel DC offset parameter in the received signal, and substituting the DC offset parameter into an IQ channel DC offset parameter equation To obtain the DC offset parameters of the I channel and the Q channel. The IQ channel DC offset parameter equation (11) is as follows: (11) where F is the form of the equalization coefficient converted into a matrix, , For the DC offset parameter, For the I channel DC offset parameter, It is the Q channel DC offset parameter.

最後進入步驟S28,計算出時域偏移參數、載波頻率偏移參數、直流偏移參數、相位不平衡參數以及增益不平衡參數後,直接利用上述參數在接收端20對接收訊號進行補償,以產生一補償訊號。Finally, proceeding to step S28, calculating the time domain offset parameter, the carrier frequency offset parameter, the DC offset parameter, the phase imbalance parameter, and the gain imbalance parameter, directly using the above parameter to compensate the received signal at the receiving end 20, Generate a compensation signal.

綜上所述,本發明可使用遞迴運算進行訊號不平衡之聯合估測與補償,以解決時域偏移、載波頻率偏移、直流偏移、相位不平衡以及增益不平衡等問題,以有效達到補償不完美射頻訊號。且本發明更能直接在接收端計算出補償訊號的參數,並回傳給發射端,使發射端根據參數,對接收訊號做預補償,以產生一個較完美的接收訊號給接收端,能避免接收端再次透過繁複的步驟處理接收訊號,可降低接收端的負擔。In summary, the present invention can use the recursive operation to perform joint estimation and compensation of signal imbalance to solve problems such as time domain offset, carrier frequency offset, DC offset, phase imbalance, and gain imbalance. Effectively compensate for imperfect RF signals. Moreover, the invention can directly calculate the parameters of the compensation signal directly at the receiving end, and return it to the transmitting end, so that the transmitting end pre-compensates the received signal according to the parameter, so as to generate a perfect receiving signal to the receiving end, which can avoid The receiving end again processes the received signal through complicated steps, which can reduce the burden on the receiving end.

唯以上所述者,僅為本發明之較佳實施例而已,並非用來限定本發明實施之範圍。故即凡依本發明申請範圍所述之特徵及精神所為之均等變化或修飾,均應包括於本發明之申請專利範圍內。The above is only the preferred embodiment of the present invention and is not intended to limit the scope of the present invention. Therefore, any changes or modifications of the features and spirits of the present invention should be included in the scope of the present invention.

10 發射端 20 接收端 22 等化器10 transmitter 20 receiver 22 equalizer

第一圖係為本發明之系統架構圖。 第二圖係為本發明之步驟流程圖。 第三圖係為本發明之另一實施例之步驟流程圖。The first figure is a system architecture diagram of the present invention. The second figure is a flow chart of the steps of the present invention. The third figure is a flow chart of the steps of another embodiment of the present invention.

Claims (11)

一種解決射頻不完美因子之聯合估測補償方法,包括下列步驟:建立一具有射頻不完美之聯合訊號模型,其包括一時域偏移估測遞迴方程式、一載波頻率偏移遞迴方程式、一遞迴運算、一相位不平衡參數方程式以及一增益不平衡參數方程式;接收不完美的一接收訊號,根據該聯合訊號模型之該時域偏移估測遞迴方程式對該接收訊號中之時域偏移進行估測,以估算時域偏移參數;根據該聯合訊號模型之該載波頻率偏移遞迴方程式對該接收訊號中之載波頻率偏移進行估測,以估算載波頻率偏移參數;根據該聯合訊號模型之該遞迴運算對該接收訊號中之直流偏移以及不平衡訊號進行估測,其中該不平衡訊號包括相位不平衡以及增益不平衡,以取得直流偏移參數、相位不平衡參數以及增益不平衡參數,其中該接收訊號中之直流偏移以及不平衡訊號進行估測之步驟包括,對該接收訊號進行遞迴運算,以取得等化係數以及該直流偏移參數,以及將該等化係數轉化為反矩陣的形式,並取得反矩陣內之係數,以分別代入該相位不平衡參數方程式以及該增益不平衡參數方程式,以產生該相位不平衡參數以及該增益不平衡參數;以及根據該時域偏移參數、該載波頻率偏移參數、該直流偏移參數、該相位不平衡參數以及該增益不平衡參數,補償不完美的該接收訊號,以產生一補償訊號。 A joint estimation compensation method for solving radio frequency imperfection factors includes the following steps: establishing a joint signal model with radio frequency imperfection, including a time domain offset estimation recursive equation, a carrier frequency offset recursive equation, and a a recursive operation, a phase imbalance parameter equation, and a gain imbalance parameter equation; receiving an imperfect reception signal, estimating the time domain in the received signal according to the time domain offset of the joint signal model The offset is estimated to estimate a time domain offset parameter; the carrier frequency offset in the received signal is estimated according to the carrier frequency offset recursive equation of the joint signal model to estimate a carrier frequency offset parameter; Determining the DC offset and the unbalanced signal in the received signal according to the recursive operation of the joint signal model, wherein the unbalanced signal includes a phase imbalance and a gain imbalance to obtain a DC offset parameter and a phase not Balance parameter and gain imbalance parameter, wherein the DC offset and the unbalanced signal in the received signal are estimated The step includes performing a recursive operation on the received signal to obtain an equalization coefficient and the DC offset parameter, and converting the equalization coefficient into an inverse matrix form, and obtaining coefficients in the inverse matrix to respectively substitute the phase Unbalanced parameter equation and the gain imbalance parameter equation to generate the phase imbalance parameter and the gain imbalance parameter; and according to the time domain offset parameter, the carrier frequency offset parameter, the DC offset parameter, the phase The imbalance parameter and the gain imbalance parameter compensate for the imperfect reception signal to generate a compensation signal. 如請求項1所述之解決射頻不完美因子之聯合估測補償方法,其中該時域偏移、該載波頻率偏移、直流偏移以及不平衡訊號係由一接收 端進行估測,以取得該時域偏移參數、該載波頻率偏移參數、該直流偏移參數、該相位不平衡參數以及該增益不平衡參數,該接收端並回傳上述該等參數至一發射端,使該發射端根據上述該等參數補償該接收訊號。 The joint estimation compensation method for solving a radio frequency imperfection factor according to claim 1, wherein the time domain offset, the carrier frequency offset, the DC offset, and the unbalanced signal are received by one Estimating to obtain the time domain offset parameter, the carrier frequency offset parameter, the DC offset parameter, the phase imbalance parameter, and the gain imbalance parameter, and the receiving end returns the foregoing parameters to a transmitting end, so that the transmitting end compensates the receiving signal according to the above parameters. 如請求項2所述之解決射頻不完美因子之聯合估測補償方法,其中該相位不平衡參數方程式(1)為: 其中該為該相位不平衡參數,該g1、該g2、該g3及該g4為進行反矩陣後的該等化係數。 The joint estimation compensation method for solving an RF imperfection factor according to claim 2, wherein the phase imbalance parameter equation (1) is: Which should For the phase imbalance parameter, the g 1 , the g 2 , the g 3 , and the g 4 are the equalization coefficients after the inverse matrix is performed. 如請求項2所述之解決射頻不完美因子之聯合估測補償方法,其中該增益不平衡參數方程式為(2): 其中該ε為該相位不平衡參數,且-1<ε<1,該g1、該g2、該g3及該g4為進行該反矩陣後的該等化係數。 The joint estimation compensation method for solving an RF imperfection factor according to claim 2, wherein the gain imbalance parameter equation is (2): Where ε is the phase imbalance parameter, and -1 < ε < 1, the g 1 , the g 2 , the g 3 and the g 4 are the equalization coefficients after the inverse matrix is performed. 如請求項2所述之解決射頻不完美因子之聯合估測補償方法,其中在產生該相位不平衡參數以及該增益不平衡參數之步驟後,更包括計算該接收訊號中一I通道直流偏移參數以及一Q通道直流偏移參數,其係將該直流偏移參數代入一IQ通道直流偏移參數方程式,該IQ通道直流偏移參數方程式(3)為: 其中該d 1d 2為直流偏移參數,該d I為該I通道直流偏移參數,該d Q為該Q通道直流偏移參數。 The joint estimation compensation method for solving an RF imperfection factor according to claim 2, wherein after the step of generating the phase imbalance parameter and the gain imbalance parameter, further comprising calculating an I channel DC offset in the received signal The parameter and a Q channel DC offset parameter are substituted into an IQ channel DC offset parameter equation, and the IQ channel DC offset parameter equation (3) is: The d 1 and d 2 are DC offset parameters, and the d I is the I channel DC offset parameter, and the d Q is the Q channel DC offset parameter. 如請求項2所述之解決射頻不完美因子之聯合估測補償方法,更包括在該發射端使用一預補償矩陣發出的訊號進行預補償,其中預補償方程式(4)為: 該E為預處理矩陣,該Q為Q通道的一發射訊號,該I為I通道的一發射訊號,該為Q通道的補償訊號,該為I通道的補償訊號,該為相位不平衡參數。 The joint estimation compensation method for solving the radio frequency imperfection factor according to claim 2, further comprising pre-compensating at the transmitting end by using a signal sent by a pre-compensation matrix, wherein the pre-compensation equation (4) is: The E is a pre-processing matrix, and the Q is a transmit signal of the Q channel, and the I is a transmit signal of the I channel, where For the Q channel compensation signal, the For the compensation signal of the I channel, For the phase imbalance parameter. 如請求項1所述之解決射頻不完美因子之聯合估測補償方法,其中在對該接收訊號進行該遞迴運算,以取得該等化係數以及該直流偏移參數之步驟中更包括:將I通道之該接收訊號代入一I通道遞迴運算式以取得該等化係數以及該直流偏移參數,同時將Q通道之該接收訊號代入一Q通道遞迴運算式,以取得該等化係數以及該直流偏移參數,其中該I通道遞迴運算式(5)為:f 1[k+1]=f1[k]+μIavg(e I [k].r I [k])f 2[k+1]=f2[k]+μIavg(e I [k].r Q [k])d 1[k+1]=d1[k]+μIavge I [k] (5)其中該f 1以及f 2為等化係數,該d 1為直流偏移參數,該k為一常數,該μI為平滑係數,該avg為取平均值,該e I為誤差項,該r I 、為I通道的該接收訊號,該r Q 為Q通道的該接收訊號;以及該Q通道遞迴運算式(6)為:f 3[k+1]=f3[k]+μ Q avg(e Q [k].r I [k])f 4[k+1]=f4[k]+μ Q avg(e Q [k].r Q [k])d 2[k+1]=d2[k]+μ Q avge Q [k] (6) 其中該f 3以及該f 4為等化係數,該d 2為直流偏移參數,該k為一常數,該μQ為平滑係數,該avg為取平均值,該e I為誤差項,該r I 為I通道的該接收訊號,該r Q 為Q通道的該接收訊號。 The joint estimation compensation method for solving a radio frequency imperfection factor according to claim 1, wherein the step of performing the recursive operation on the received signal to obtain the equalization coefficient and the DC offset parameter further includes: The received signal of the I channel is substituted into an I channel recursive operation to obtain the equalization coefficient and the DC offset parameter, and the received signal of the Q channel is substituted into a Q channel recursive expression to obtain the equalization coefficient. And the DC offset parameter, wherein the I channel recursive equation (5) is: f 1 [k+1]=f 1 [k]+μ I . Avg ( e I [ k ]. r I [ k ]) f 2 [k+1]=f 2 [k]+μ I . Avg ( e I [ k ]. r Q [ k ]) d 1 [k+1]=d 1 [k]+μ I . Avg . e I [ k ] (5) wherein f 1 and f 2 are equalization coefficients, the d 1 is a DC offset parameter, the k is a constant, the μ I is a smoothing coefficient, and the avg is an average value, e I is an error term, the r I is the received signal of the I channel, the r Q is the received signal of the Q channel; and the Q channel recursive equation (6) is: f 3 [k+1]= f 3 [k]+μ Q . Avg ( e Q [ k ]. r I [ k ]) f 4 [k+1]=f 4 [k]+μ Q . Avg ( e Q [ k ]. r Q [ k ]) d 2 [k+1]=d 2 [k]+μ Q . Avg . e Q [ k ] (6) wherein f 3 and f 4 are equalization coefficients, the d 2 is a DC offset parameter, the k is a constant, the μ Q is a smoothing coefficient, and the avg is an average value. The e I is an error term, and the r I is the received signal of the I channel, and the r Q is the received signal of the Q channel. 如請求項1所述之解決射頻不完美因子之聯合估測補償方法,其中在估算該時域偏移參數之步驟中,係將該接收訊號之功率最大化後,代入該聯合訊號模型之該時域偏移估測遞迴方程式進行遞迴運算,以找出該時域偏移參數,其中該時域偏移估測遞迴方程式(7)為: 其中該τ為時域偏移參數,該k為取樣時間點,該μ為常數,該x為功率最大化該接收訊號,該T為周期,該M為過取樣(oversampling)的大小,該δ為取樣時刻點之常數。 The joint estimation compensation method for solving a radio frequency imperfection factor according to claim 1, wherein in the step of estimating the time domain offset parameter, the power of the received signal is maximized, and the joint signal model is substituted The time domain offset estimation recursive equation performs a recursive operation to find the time domain offset parameter, wherein the time domain offset estimation recursive equation (7) is: Where τ is a time domain offset parameter, the k is a sampling time point, the μ is a constant, the x is the power maximizing the received signal, the T is a period, and the M is an oversampling size, the δ It is a constant for sampling time points. 如請求項1所述之解決射頻不完美因子之聯合估測補償方法,其中在該估算載波頻率偏移參數之步驟中,係使用科斯塔斯環遞迴(costas loop)運算式計算,其係將該接收訊號後代入該聯合訊號模型之該載波頻率偏移遞迴方程式,該載波頻率偏移遞迴方程式(8)為:θ[k+1]=θ[k]-μLPF{r(kT s )cos(2π f 0 kT s +θ[k])}LPF{r(kT s )sin(2π f 0 kT s +θ[k])} (8)其中該θ為載波頻率偏移參數,該k為取樣時間點,該μ為訊號平滑係數,該LPF為低通濾波,該r為該接收訊號,該T S 為週期,該f 0為頻率。 The joint estimation compensation method for solving a radio frequency imperfection factor according to claim 1, wherein in the step of estimating a carrier frequency offset parameter, a Costas loop computational calculation is used. The received signal is substituted into the carrier frequency offset recursive equation of the joint signal model, and the carrier frequency offset recursive equation (8) is: θ [ k +1]= θ [ k ]-μ LPF { r ( kT s )cos(2π f 0 kT s + θ [ k ])} LPF { r ( kT s )sin(2π f 0 kT s + θ [ k ])} (8) where θ is the carrier frequency offset parameter , k is a sampling time point, the μ is a signal smoothing coefficient, the LPF is low-pass filtering, the r is the receiving signal, the T S is a period, and the f 0 is a frequency. 如請求項1所述之解決射頻不完美因子之聯合估測補償方法,其中該接收訊號係由一發射端發射,以傳遞至一接收端,使該接收端可直接針對該接收訊號進行該時域偏移、該載波頻率偏移、該直流偏移以及該不平衡訊號估測,以取得該時域偏移參數、該載波頻率偏移參數、該直流偏移參數、該相位不平衡參數以及該增益不平衡參數, 其中計算該相位不平衡參數之該相位不平衡參數方程式(9)為: 其中該為該相位不平衡參數,該g1、該g2、該g3及該g4為該等化係數反矩陣之數值;以及計算該增益不平衡參數之該增益不平衡參數方程式(10)為: 其中該ε為該相位不平衡參數,且0<ε<1,該g1、該g2、該g3及該g4為該等化係數反矩陣之數值。 The joint estimation compensation method for solving a radio frequency imperfection factor according to claim 1, wherein the receiving signal is transmitted by a transmitting end to be transmitted to a receiving end, so that the receiving end can directly perform the time for the receiving signal. a domain offset, the carrier frequency offset, the DC offset, and the unbalanced signal estimate to obtain the time domain offset parameter, the carrier frequency offset parameter, the DC offset parameter, the phase imbalance parameter, and The gain imbalance parameter, wherein the phase imbalance parameter equation (9) for calculating the phase imbalance parameter is: Which should For the phase imbalance parameter, the g 1 , the g 2 , the g 3 , and the g 4 are values of the inverse matrix of the equalization coefficient; and the gain imbalance parameter equation (10) for calculating the gain imbalance parameter is : Where ε is the phase imbalance parameter, and 0 < ε < 1, the g 1 , the g 2 , the g 3 and the g 4 are the values of the inverse matrix of the equalization coefficients. 如請求項10所述之解決射頻不完美因子之聯合估測補償方法,其中在產生該相位不平衡參數以及該增益不平衡參數之步驟後,更計算該接收訊號中一I通道直流偏移參數以及一Q通道直流偏移參數,其係將該直流偏移參數代入一IQ通道直流偏移參數方程式,IQ通道直流偏移參數方程式(11)為: 其中該F為等化係數轉化為矩陣的形式,該d 1d 2為直流偏移參數,該d I為該I通道直流偏移參數,該d Q為該Q通道直流偏移參數。 The joint estimation compensation method for solving an RF imperfection factor according to claim 10, wherein after the step of generating the phase imbalance parameter and the gain imbalance parameter, calculating an I channel DC offset parameter in the received signal And a Q channel DC offset parameter, which is to substitute the DC offset parameter into an IQ channel DC offset parameter equation, and the IQ channel DC offset parameter equation (11) is: Wherein F is converted into a matrix form, and d 1 and d 2 are DC offset parameters, and d I is a DC channel DC offset parameter, and d Q is a Q channel DC offset parameter.
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