TWI673960B - Tuning method for improving the quality of broadband RF signals - Google Patents

Tuning method for improving the quality of broadband RF signals Download PDF

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TWI673960B
TWI673960B TW107142603A TW107142603A TWI673960B TW I673960 B TWI673960 B TW I673960B TW 107142603 A TW107142603 A TW 107142603A TW 107142603 A TW107142603 A TW 107142603A TW I673960 B TWI673960 B TW I673960B
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signal
parameters
offset
end filter
channel
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TW202021288A (en
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鄧俊宏
李佳芳
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Yuan Ze University
元智大學
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Abstract

本發明為一種提升寬頻射頻訊號品質之調校方法,首先建立具有射頻不完美之聯合訊號模型,以輸入理想訊號至聯合訊號模型產生接收訊號,並估算聯合訊號模型之前端濾波器參數,以對接收訊號進行補償。接著對接收訊號之直流偏移進行估測,以估算直流偏移之參數,最後對聯合訊號模型之後端濾波器之參數進行估算,並根據後端濾波器之參數與直流偏移之參數,對接收訊號進行補償。本發明可用於校正發射端與接收端之訊號,當發射端與接收端互相串接時,先對接收端之訊號調校再調校發射端,校正經過濾波器所產生訊號偏移及直流偏移等問題,以補償不完美訊號。The invention is a calibration method for improving the quality of a broadband radio frequency signal. First, a joint signal model with radio frequency imperfection is established. The ideal signal is input to the joint signal model to generate a received signal, and the front-end filter parameters of the joint signal model are estimated. Receive signals for compensation. Then, the DC offset of the received signal is estimated to estimate the parameters of the DC offset. Finally, the parameters of the rear-end filter of the joint signal model are estimated, and according to the parameters of the back-end filter and the parameters of the DC offset, Receive signals for compensation. The invention can be used for correcting the signals of the transmitting end and the receiving end. When the transmitting end and the receiving end are connected in series, the signal of the receiving end is adjusted first and then the transmitting end is adjusted to correct the signal offset and DC offset generated by the filter. To compensate for imperfect signals.

Description

提升寬頻射頻訊號品質之調校方法Calibration method for improving broadband RF signal quality

本發明係有關一種訊號補償技術,特別是指一種提升寬頻射頻訊號品質之調校方法。The invention relates to a signal compensation technology, in particular to a calibration method for improving the quality of a broadband radio frequency signal.

射頻(Radio frequency,RF),又稱無線電頻率、無線射頻、高周波,通常用以表示無線電的同義詞,以作為無線通訊系統,已進行資料的傳遞。Radio frequency (RF), also known as radio frequency, radio frequency, high frequency, is often used as a synonym for radio. As a wireless communication system, data has been transmitted.

發射端發出射頻訊號至接收端的中間,射頻訊號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。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。The transmitter sends a radio frequency signal to the middle of the receiver. The radio frequency signal will have additional RF impairments, such as IQ imbalance (In-phase / Quadrature-phase imbalance), shaping filter imbalance (shaping filter imbalance), and DC offset and other issues. In order to limit the bandwidth, the transceiver must use a pulse-shaping filter to reduce the signal bandwidth to meet the system bandwidth limit and reduce inter-symbol interference (ISI). Currently, Nyquist filters are used. (Nyquist filter) and square-root-raise-cosine (SRRC) 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, it will cause the transmitting end and the receiving end There is a problem of imbalance of the shaping filter between the terminals. Furthermore, in order to reduce costs, many users will use a cheaper direct conversion architecture. During the conversion process, some of the local oscillator power will leak to the RF signal and mix with the transmission signal, resulting in IQ DC at the transmission end. The effect of offset defects.

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 the influence of factors such as refraction, diffraction, or scattering in the indoor or outdoor environment, causing the receiving end to receive signals of two or more different paths at different delay times, it will also cause inter-symbol interference and cause Reduced performance. In addition, when the RF module between the transmitting end and the receiving end performs up / down frequency conversion, the incomplete synchronization of the oscillator will cause a frequency offset, and the Doppler frequency shift due to high-speed movement will also cause a carrier frequency offset. In systems using single-carrier frequency division multiplexing access and orthogonal frequency division multiplexing access technology, the carrier frequency offset has a great impact, which will not only interfere with the transmission of wireless communication systems, but also cause 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,提出一種提升寬頻射頻訊號品質之調校方法,以有效克服上述之該等問題。In view of this, the present invention proposes a calibration method for improving the quality of broadband radio frequency signals in order to effectively overcome the above-mentioned problems in view of the lack of the conventional techniques.

本發明之主要目的係在提供一種提升寬頻射頻訊號品質之調校方法,其可針對不完美的訊號進行校正,以解決訊號經過濾波器所產生訊號偏移,及直流偏移等問題,以補償不完美的訊號。The main purpose of the present invention is to provide a calibration method for improving the quality of wideband radio frequency signals, which can correct imperfect signals to solve problems such as signal offset caused by a signal passing through a filter, and DC offset to compensate Imperfect signal.

本發明之另一目的係在提供一種提升寬頻射頻訊號品質之調校方法,其能同時針對接收端以及發射端之不完美訊號進行補償,以補償不完美的訊號。Another object of the present invention is to provide a calibration method for improving the quality of a broadband radio frequency signal, which can simultaneously compensate for imperfect signals at the receiving end and the transmitting end to compensate for the imperfect signals.

為達上述之目的,本發明係提供一種提升寬頻射頻訊號品質之調校方法,步驟包括,建立一具有射頻不完美之聯合訊號模型;輸入一理想訊號至聯合訊號模型產生一接收訊號,以對聯合訊號模型之前端濾波器進行估測,並估算前端濾波器之參數,再根據前端濾波器之參數對接收訊號進行補償;對接收訊號之直流偏移進行估測,以估算直流偏移之參數;以及對聯合訊號模型之後端濾波器進行估測,以估算後端濾波器之參數,並根據後端濾波器之參數與直流偏移之參數,對接收訊號進行補償。In order to achieve the above-mentioned object, the present invention provides a calibration method for improving the quality of a broadband radio frequency signal. The steps include: establishing a joint signal model with imperfect radio frequency; inputting an ideal signal into the joint signal model to generate a receiving signal, The front-end filter of the joint signal model is estimated and the parameters of the front-end filter are estimated, and then the received signal is compensated according to the parameters of the front-end filter; the DC offset of the received signal is estimated to estimate the DC offset parameter ; And estimate the rear-end filter of the joint signal model to estimate the parameters of the back-end filter, and compensate the received signal based on the parameters of the back-end filter and the DC offset parameter.

其中估算前端濾波器之參數的步驟中,更包括下列步驟,將接收訊號分成相位通道(I通道)訊號與振幅通道(Q通道)訊號;定義前端濾波器與相位通道訊號與振幅通道訊號的關係,以方程式表示如下所示: 其中 為相位通道(I通道)訊號, 為振幅通道(Q)訊號, 為前端濾波器之參數, 為相位通道(I通道)訊號, 為振幅通道(Q)訊號, 為前端之直流偏移參數;接著將相位通道訊號與振幅通道訊號經類比轉數位取樣,以與理想訊號中的訓練碼排列成矩陣;最後利用最小平方(LS)演算法求得相位通道訊號與振幅通道訊號中,複數前端濾波器所對應之每一平行濾波器之參數。 The step of estimating the parameters of the front-end filter further includes the following steps: dividing the received signal into a phase channel (I channel) signal and an amplitude channel (Q channel) signal; defining the relationship between the front-end filter and the phase channel signal and the amplitude channel signal , Expressed in equations as follows: among them Is the phase channel (I channel) signal, Is the amplitude channel (Q) signal, , , , Is the parameter of the front-end filter, Is the phase channel (I channel) signal, Is the amplitude channel (Q) signal, , Is the DC offset parameter of the front end; then the phase channel signal and the amplitude channel signal are digitally sampled by analog rotation to form a matrix with the training code in the ideal signal; finally, the phase channel signal and the Parameters of each parallel filter corresponding to the complex front-end filter in the amplitude channel signal.

其中估算後端濾波器之參數的步驟中,更包括下列步驟,令相位通道訊號等於一脈衝函數,振幅通道訊號等於零,其以方程式表示如下所示: 其中 為經類比轉數位取樣的後端濾波器之參數, 為經類比轉數位取樣的前端濾波器之參數, 為脈衝函數;接著使用一迴旋矩陣演算法及最小平方法估測出後端濾波器 之參數;令振幅通道訊號等於脈衝函數,相位通道訊號等於零,其以方程式表示如下所示: 其中 為經類比轉數位取樣的後端濾波器之參數, 為經類比轉數位取樣的前端濾波器之參數, 為脈衝函數;最後使用迴旋矩陣演算法及最小平方法估測出後端濾波器 之參數。 The step of estimating the parameters of the back-end filter further includes the following steps, so that the phase channel signal is equal to a pulse function and the amplitude channel signal is equal to zero, which is expressed by the equation as follows: among them , Is the parameter of the back-end filter sampled by analog to digital, , , , Is the parameter of the front-end filter sampled by analog to digital conversion, Is a pulse function; the back-end filter is estimated using a convolution matrix algorithm and a least squares method , Parameters; let the amplitude channel signal be equal to the pulse function and the phase channel signal be equal to zero, which is expressed by the equation as follows: among them , Is the parameter of the back-end filter sampled by analog to digital, , , , Is the parameter of the front-end filter sampled by analog to digital conversion, Is a pulse function; the back-end filter is estimated using the convolution matrix algorithm and the least square method , Parameters.

其中在建立一具有射頻不完美之聯合訊號模型之步驟後,更包括一發射端發射理想訊號至一接收端中的聯合訊號模型,聯合訊號模型所產生的接收訊號則產生一頻率偏移,並將接收訊號類比轉數位取樣後,進入對聯合訊號模型之前端濾波器進行估測,以估算前端濾波器之參數之步驟。After the step of establishing a joint signal model with radio frequency imperfection, it further includes a joint signal model in which a transmitting end transmits an ideal signal to a receiving end, and a reception signal generated by the joint signal model generates a frequency offset, and After the analog signal of the received signal is digitally sampled, it enters the step of estimating the front-end filter of the joint signal model to estimate the parameters of the front-end filter.

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。Detailed descriptions will be provided below through specific embodiments to make it easier to understand the purpose, technical content, features and effects of the present invention.

首先請參照第一圖,其係為本實施例之系統架構圖,本實施例之方法可用以針對接收端或發射端的不完美接收訊號進行補償,其中發射端與接收端之補償方法皆相同,因此本實施例僅以接收端的結構作為舉例說明。First, please refer to the first figure, which is a system architecture diagram of this embodiment. The method of this embodiment can be used to compensate for imperfect reception signals at the receiving end or the transmitting end. The compensation methods at the transmitting end and the receiving end are the same. Therefore, this embodiment only uses the structure of the receiving end as an example.

如第一圖所示,其係本發明接收端校正訊號之方法所應用之系統架構,其係一接收裝置10可為亞德諾(ADI)公司所生產的型號AD9371之收發器,接收裝置10包括有一接收器12,其可將訊號分為相位通道(I通道)與振幅通道(Q通道),且I通道與Q通道分別連接到四個前端濾波器14 ),前端濾波器14再分別連接二前端降頻器16,前端降頻器16會產生前端頻率偏移 。二前端降頻器16更分別連接四後端濾波器18( ),後端濾波器18再分別連接二後端降頻器19,後端降頻器19會產生後端頻率偏移 。本實施例之前端濾波器14與後端濾波器18可為平行濾波器,訊號經過前端濾波器14與後端濾波器18時會產生相位振幅(IQ)不平衡,因此若能估測出前端濾波器14與後端濾波器18之參數,即可用以補償接收裝置10的寬頻射頻不完美因子,以補償射頻訊號中的的IQ不平衡。 As shown in the first figure, it is a system architecture applied to the method for correcting a signal at the receiving end of the present invention. A receiving device 10 may be a transceiver of model AD9371 produced by Analog Devices (ADI), and the receiving device 10 Includes a receiver 12 which can divide the signal into phase channel (I channel) and amplitude channel (Q channel), and the I channel and Q channel are connected to four front-end filters 14 respectively. , , , ), The front-end filter 14 is connected to two front-end downconverters 16 respectively, and the front-end downconverter 16 will generate a front-end frequency offset. , . Two front-end downconverters 16 are further connected to four rear-end filters 18 ( , , , ), The rear-end filter 18 is then connected to two rear-end downconverters 19, and the rear-end downconverter 19 will generate a rear-end frequency offset. , . In this embodiment, the front-end filter 14 and the back-end filter 18 may be parallel filters. When the signal passes through the front-end filter 14 and the back-end filter 18, a phase amplitude (IQ) imbalance will be generated. Therefore, if the front-end can be estimated, The parameters of the filter 14 and the back-end filter 18 can be used to compensate the broadband radio frequency imperfection factor of the receiving device 10 to compensate for the IQ imbalance in the radio frequency signal.

在說明完本實施例接收裝置10之結構後,接下來請同時配合參照第二圖,如圖所示,首先進入步驟S10,接收裝置10建立一具有射頻不完美之聯合訊號模型,其中聯合訊號模型可表示為以下方程式(1): (1) (2) (3) 其中 為接收訊號, 為寬頻射頻不完美因子, 為理想訊號, 為直流偏移。 After explaining the structure of the receiving device 10 in this embodiment, please refer to the second figure at the same time. As shown in the figure, first enter step S10. The receiving device 10 establishes a joint signal model with radio frequency imperfection, in which the joint signal The model can be expressed as the following equation (1): (1) (2) (3) of which To receive the signal, , Is the imperfection factor for wideband RF, Is the ideal signal, Is the DC offset.

接著進入步驟S12,輸入一理想訊號 至聯合訊號模型產生一接收訊號 ,並針對前端濾波器14之參數進行估測與補償,本實施例舉例理想訊號為二位元相位偏移調變(Binary Phase Shift Keying,BPSK)訊號,其不存在任何發射端的相位振幅(IQ)不平衡之效應,因此本實施例可單純考慮前端濾波器14、後端濾波器18與直流偏移之參數,以同時對聯合訊號模型之前端濾波器14、後端濾波器18與直流偏移之參數進行估測,並根據參數對接收訊號進行補償。其中估算前端濾波器14之參數的詳細步驟如下所示,為了使接收訊號以實數訊號表示,將上述方程式(2)(3)代入方程式(1),並將 展開可得下列方程式(4): (4) 接續將上述方程式(4)展開,將接收訊號化簡分成相位通道(I通道)訊號與振幅通道(Q通道)訊號,兩路訊號可得以下兩方程式(5)(6): (5) (6) 得到I通道訊號與Q通道訊號之兩路訊號後,定義四個前端濾波器14與I通道訊號與Q通道訊號的關係,將前端濾波器14分別定義為 ,並將方程式(5)及方程式(6)轉換如下方程式(7): (7) 其中 I通道訊號, 為Q通道訊號, 為前端濾波器之參數, 為I通道訊號, 為Q通道訊號, 為前端之直流偏移參數,其中四個前端濾波器14的理想值可表示如下方程式(8) (8) 將具IQ不平衡效應後的接收訊號如方程式(7),經類比轉數位取樣後代號成為 ,及理想訊號中已知傳送的訓練碼 排列成矩陣,其關係式如下方程式(9)(10): (9) (10) 其中 分別為 之迴旋矩陣項,接著再令方程式(9)及方程式(10)共同項 如下方程式(11)所示: (11) 最後再利用最小平方法(LS)求得 之最佳解,其運算式如下方程式(12): (12) 估計出接收裝置10之前端濾波器14之參數 後,並對經過前端濾波器14所產生的不完美訊號進行補償。 Then proceed to step S12, input an ideal signal Generate a received signal to the joint signal model The parameters of the front-end filter 14 are estimated and compensated. In this embodiment, the ideal signal is a binary phase shift shifting (BPSK) signal, and there is no phase amplitude (IQ) at the transmitting end. ) Unbalanced effect, so in this embodiment, the parameters of the front-end filter 14, the back-end filter 18, and the DC offset can be simply considered, so that the front-end filter 14, the back-end filter 18, and the The shifted parameters are estimated, and the received signal is compensated according to the parameters. The detailed steps for estimating the parameters of the front-end filter 14 are shown below. In order to make the received signal be a real number signal, the above equations (2) and (3) are substituted into equation (1), and Expand to get the following equation (4): (4) Continue to expand the above equation (4), and reduce the received signal into phase channel (I channel) signal and amplitude channel (Q channel) signal. The two signals can be obtained from the following two equations (5) (6): (5) (6) After obtaining the two signals of the I channel signal and the Q channel signal, define the relationship between the four front-end filters 14 and the I-channel signal and the Q-channel signal, and define the front-end filter 14 as , , , , And transform equation (5) and equation (6) into the following equation (7): (7) of which I channel signal, Is the Q channel signal, , , , Is the parameter of the front-end filter, Is the I channel signal, Is the Q channel signal, , Is the DC offset parameter of the front end. The ideal value of the four front-end filters 14 can be expressed by the following equation (8) (8) The received signal with the IQ imbalance effect is shown in equation (7). , And the training code known to be transmitted in the ideal signal Arranged into a matrix, the relationship is as follows equations (9) (10): (9) (10) of which Are The convolution matrix term, and then let the common terms of equations (9) and (10) As shown in the following formula (11): (11) Finally, use the least square method (LS) to find , , , The best solution is as follows (12): (12) Estimate the parameters of the front-end filter 14 of the receiving device 10 , , , Then, the imperfect signal generated by passing through the front-end filter 14 is compensated.

接下來進入步驟S14,以單純針對直流偏移之參數進行估算,請配合參照第一圖,接收裝置10之前端降頻器16的直流偏移值 經過四個後端濾波器18( )後,需與接收裝置10之後端降頻器19產生的後端直流偏移值 相消,如此一來即可消除接收端直流偏移,其數學式如下方程式(13)(14): (13) (14) 得知前端直流偏移值 和後端直流偏移值 之關係後,可利用方程式(13)排列成矩陣,即可求後端直流偏移 ,如下方程式(15)所示: (15) Next, step S14 is performed to estimate the parameters of the DC offset. Please refer to the first figure for the DC offset value of the front-end downconverter 16 of the receiving device 10. After four back-end filters 18 ( , , ), The DC offset value from the rear end of the downconverter 19 Cancellation. In this way, the DC offset at the receiving end can be eliminated. Its mathematical formula is the following equations (13) (14): (13) (14) Know the DC offset of the front end And back-end DC offset values After the relationship, you can use equation (13) to arrange into a matrix, and you can find the DC offset of the back end. , As shown in the following equation (15): (15)

接續,進入步驟S16,為求接收裝置10四個後端濾波器18( 之參數,理想訊號經類比轉數位取樣後,分別為 ,由於接收裝置10未經過IQ不平衡效應之訊號,則理想訊號經過接收裝置四個前端濾波器14( 後,利用四個後端濾波器18( )補償後端對接收訊號之效應,並分出I通道訊號與Q通號訊號兩路, 即為經接收裝置10後處理校正過後之訊號,可將整體數學式整理如下方程式(16)(17): (16) (17) 將上述方程式(16)(17)中 提出,重新整理數學式如下方程式(18)(19): (18) (19) 以I通道訊號為例,利用方程式(18) 兩者之關係,只保留I通道訊號的部分使其等於一脈衝函數,則Q通道訊號部分使其等於零,數學式如下方程式(20): (20) 並可將上式重新排列如下方程式(21): (21) 其中 之迴旋矩陣項 為一脈衝函數。接著將以上方程式(21)排列成矩陣,利用最小平方法(LS)求得 ,其方程式(22)如下所示: Continuing, the process proceeds to step S16, in order to obtain four back-end filters 18 of the receiving device 10 ( , , The parameters of the ideal signal after analog to digital sampling are: Since the receiving device 10 does not pass the signal of the IQ imbalance effect, the ideal signal passes the four front-end filters 14 of the receiving device ( , , , After that, four back-end filters 18 ( , , ) Compensate the effect of the backend on the received signal, and divide the I channel signal and the Q channel signal into two channels. That is, the signal after correction by the post-processing of the receiving device 10, the overall mathematical formula can be arranged as the following equations (16) (17): (16) (17) In the above equations (16) and (17) It is proposed to rearrange the mathematical formula as follows (18) (19): (18) (19) Take I channel signal as an example, use equation (18) and The relationship between the two is that only the part of the I channel signal is kept equal to a pulse function, and the part of the Q channel signal is made equal to zero. The mathematical formula is the following equation (20): (20) The above formula can be rearranged as the following equation (21): (21) of which for Convolution matrix entry , Is a pulse function. Then arrange the above equation (21) into a matrix and use the least square method (LS) to find with , Its equation (22) is as follows:

接下來延續相同概念,將Q通道訊號利用方程式(19)y Q (n)及z Q (n)兩者之關係,保留Q通道訊號部分,使其等於一脈衝函數,I通道訊號部分則為零,關係式如下方程式(23): 將上式重新排列如下方程式(24): 其中E同為方程式(21),最後將上式排列成矩陣,如下方程式(25): 並利用利用最小平方法(LS)求得f 3f 4,即可得到四個後端濾波器18(f 1f 2f 3f 4)參數,並對經過後端濾波器18所產生的不完美訊號進行補償。 Continue the same concept, and use the relationship between equation (19) y Q ( n ) and z Q ( n ) for the Q channel signal. Keep the Q channel signal part equal to a pulse function, and the I channel signal part is Zero, the relationship is as follows equation (23): Rearrange the above formula into the following equation (24): Where E is also equation (21), and finally the above equations are arranged into a matrix, as shown in equation (25): And by using the least square method (LS) to obtain f 3 and f 4 , four back-end filters 18 ( f 1 , f 2 , f 3 , f 4 ) parameters can be obtained. The resulting imperfect signals are compensated.

本發明除了上述實施例,僅針對單一發射端或接收端進行寬頻訊號的校正之外,更可以進行雙向寬頻訊號的校正,也就是說,本發明更可同時針對接收端與發射端進行校正,詳述如下。 In addition to the above embodiments, the present invention performs correction of a wideband signal only for a single transmitting end or a receiving end, and can perform correction of a two-way wideband signal. That is, the present invention can perform correction for a receiving end and a transmitting end simultaneously. Details are as follows.

首先請參照第三圖,其係本實施例之接收裝置及發射裝置的系統架構圖,如圖所示,其包括一接收裝置10與一發射裝置20。其中接收裝置10之架 構與上述實施例架構相同,故不重覆敘述。發射裝置20為發射訊號之裝置,發射裝置20包括一接收器22,其可將訊號分為I通道與Q通道,且I通道與Q通道分別連接四後端濾波器24(g1、g2、g3、g4),後端濾波器24再分別連接二後端降頻器26,後端降頻器26會產生後端頻率偏移(a I a Q )。二後端降頻器26更分別連接四前端濾波器28(h 1h 2h 3h 4),前端濾波器28再分別連接二前端降頻器29,且前端降頻器29亦會產生前端頻率偏移(b I b Q )。本實施例之後端濾波器24與前端濾波器28可為平行濾波器,訊號再經過後端濾波器24與前端濾波器28時會產生相位振幅(IQ)不平衡,因此若能估測出後端濾波器24與前端濾波器28之參數,即可用以補償發射裝置20的寬頻射頻不完美因子,以補償射頻訊號中的的IQ不平衡。 First, please refer to the third figure, which is a system architecture diagram of the receiving device and the transmitting device in this embodiment. As shown in the figure, it includes a receiving device 10 and a transmitting device 20. The structure of the receiving device 10 is the same as that of the foregoing embodiment, so the description will not be repeated. The transmitting device 20 is a device for transmitting a signal. The transmitting device 20 includes a receiver 22, which can divide the signal into an I channel and a Q channel, and the I channel and the Q channel are respectively connected to four back-end filters 24 (g 1 , g 2 , G 3 , g 4 ), the back-end filter 24 is connected to two back-end downconverters 26 respectively, and the back-end downconverter 26 will generate back-end frequency offsets ( a I , a Q ). The two rear-end downconverters 26 are further connected to four front-end filters 28 ( h 1 , h 2 , h 3 , h 4 ), and the front-end filters 28 are respectively connected to the two front-end downconverters 29, and the front-end downconverters 29 are also There will be front-end frequency offsets ( b I , b Q ). In this embodiment, the rear-end filter 24 and the front-end filter 28 may be parallel filters. When the signal passes through the rear-end filter 24 and the front-end filter 28, a phase amplitude (IQ) imbalance will be generated. Therefore, if it can be estimated The parameters of the end filter 24 and the front filter 28 can be used to compensate the broadband radio frequency imperfection factor of the transmitting device 20 to compensate the IQ imbalance in the radio frequency signal.

接下來請配合參照第四圖,以說明本實施例之步驟流程,本實施例提出校正流程為先對接收裝置10進行調校,再對發射裝置20進行調校。首先進入步驟S20,在接收裝置10建立一具有射頻不完美之聯合訊號模型,其數學模型表示為以下方程式(26): Next, please refer to the fourth figure to explain the steps and procedures of this embodiment. This embodiment proposes that the calibration process is to first adjust the receiving device 10 and then adjust the transmitting device 20. First, it proceeds to step S20 to establish a joint signal model with radio frequency imperfection in the receiving device 10, and the mathematical model is expressed as the following equation (26):

b=b I +j.b Q (28)其中x(t)為接收訊號,h R,+(t)、h R,-(t)表示接收裝置10中整體的寬頻射頻不完美因子,s(t)為理想訊號以及則分別表示I/Q兩路低通濾波器脈衝響應,α T 為I/Q振幅不平衡與θ T 為I/Q相位不平衡,b表示發射裝置10的直流偏移。 b = b I + j. b Q (28) where x ( t ) is the received signal, h R, + ( t ), h R, - ( t ) represent the overall broadband RF imperfection factor in the receiving device 10, and s ( t ) is the ideal signal as well as Then the I / Q low-pass filter impulse responses are respectively expressed, α T is the I / Q amplitude imbalance and θ T is the I / Q phase imbalance, and b is the DC offset of the transmitting device 10.

接著進入步驟S22,並配合參照第三圖,發射裝置20前端產生一理想訊號s(t),其理想訊號表示式如下方程式(29):s(t)=s I (t)+j.0 (29) 上述理想訊號s(t)依序經過發射裝置20的後端濾波器24、後端降頻器26、前端濾波器28及前端降頻器29後,產生一發射訊號x(t),可得x(t)之訊號其數學模型如下方程式(30)(31)(32): Then proceed to step S22, and with reference to the third figure, the front end of the transmitting device 20 generates an ideal signal s ( t ), and the ideal signal expression is as follows: Equation (29): s ( t ) = s I ( t ) + j . 0 (29) The ideal signal s ( t ) passes through the rear-end filter 24, rear-end down-converter 26, front-end filter 28, and front-end down-converter 29 of the transmitting device 20 in this order to generate a transmission signal x ( t ), We can get the signal of x ( t ). Its mathematical model is the following equation (30) (31) (32):

b=b I +j.b Q (32)其中h R,+(t)、h R,-(t)表示發射裝置的整體寬頻射頻不完美因子,以及則分別表示I通道與Q通道兩路低通濾波器脈衝響應,α T 為I通道與Q通道振幅不平衡與θ T 為I通道與Q通道相位不平衡,b表示發射裝置20直流偏移。為了使訊號以實數訊號表示,將方程式(31)代入方程式(30)展開,並將共同項相消可得推導結果如下方程式(33): 其中視為濾波器常數項,對IQ不平衡(Imbalance)無關故將此值省略,可得發射端訊號如下方程式(34):x(t)=s I (t)+b (34)此訊號只保有I通道之濾波器效應,無Q通道所影響之濾波器效應,故可達到隔離發射端寬頻射頻不完美因子之目的。 b = b I + j. b Q (32) where h R, + ( t ), h R, - ( t ) represent the overall broadband RF imperfection factor of the transmitting device, as well as Then it represents the impulse response of the two low-pass filters of the I channel and the Q channel, respectively, α T is the amplitude imbalance of the I and Q channels and θ T is the phase imbalance of the I and Q channels, and b represents the DC offset of the transmitting device 20. In order for the signal to be expressed as a real signal, substituting equation (31) into equation (30) and expanding the common terms, the derivation result is the following equation (33): In which It is a filter constant term, which has nothing to do with IQ imbalance (Imbalance), so this value is omitted, and the signal at the transmitting end can be obtained by the following equation (34): x ( t ) = s I ( t ) + b (34) This signal is only retained The filter effect of the I channel has no filter effect affected by the Q channel, so it can achieve the purpose of isolating the imperfection factor of the broadband RF at the transmitting end.

接續,完成發射裝置20所發射的訊號模型後,發射裝置20與接收裝置10之間會故意產生中心頻率之頻率偏移,再使接收裝置10進行訊號的接收,在此沿用頻率偏移之優化校正原理,使訊號在發射裝置20與接收裝置10之間會存在一偏差值為e j2π△ft ,其中μ所表示之頻偏項為發射裝置20的中心頻率f T 和接 收裝置10的中心頻率f R 相減量,此頻率偏差值e j2π△ft 可優化接收裝置10校正性能,則接收裝置10所接收之訊號經類比轉數位取樣後可表示如下方程式(35):y(t)=e j2π△ft .x(t) (35) Continuing, after completing the signal model transmitted by the transmitting device 20, a frequency offset of the center frequency is intentionally generated between the transmitting device 20 and the receiving device 10, and then the receiving device 10 receives the signal, and the optimization of the frequency offset is used here The correction principle makes the signal have a deviation value e j 2π △ ft between the transmitting device 20 and the receiving device 10, where the frequency offset term represented by μ is the center frequency f T of the transmitting device 20 and the center of the receiving device 10 The frequency f R is subtracted. This frequency deviation value e j 2π △ ft can optimize the correction performance of the receiving device 10, and then the signal received by the receiving device 10 can be expressed by the following equation (35) after analog rotation digital sampling: y ( t ) = e j 2π △ ft . x ( t ) (35)

接續,經類比轉數位取樣後,令頻偏項中μ=△f.T S ,將方程式(34)代入方程式(35),即為將發射裝置20的理想訊號代入接收訊號,並將y(n)中e jμn 項展開可得下方程式(36): 並將上式方程式(36)展開可得用於後面推導,展開後方程式(37)如下所示: 分別將上式中cos和sin項目代換如下,方便後續推導使用,代換後方程式(38)如下所示: Continuing, after sampling by analog to digital, let μ = △ f. T S , substituting equation (34) into equation (35), that is, substituting the ideal signal of the transmitting device 20 into the receiving signal, and expanding the e jμn term in y ( n ) to obtain the following formula (36): Expanding the above equation (36), we get with For subsequent derivation, the following formula (37) is developed as follows: The cos and sin items in the above formula are replaced as follows for the convenience of subsequent derivation. The program after replacement (38) is shown below:

接續,基於接收裝置10不完美之聯合訊號模型,可得接收訊號的方程式(39)(40)(41)如下: Then, based on the imperfect joint signal model of the receiving device 10, the equations (39), (40), and (41) of the received signal can be obtained as follows:

d=d I +j.d Q (41)其中h R,+(n)、h R,-(n)表示接收裝置10寬頻射頻不完美因子,以及分別表示接收裝置10 I通道與Q通道兩路的低通濾波器脈衝響應,再經過一存在I通 道與Q通道振幅不平衡α R 與I通道與Q通道相位不平衡θ R 之I通道與Q通道降頻器,d則表示接收裝置10的直流偏移量。 d = d I + j. d Q (41) where h R , + ( n ), h R ,- ( n ) represents the 10-band radio frequency imperfection factor of the receiving device, as well as The low-pass filter impulse response of the I channel and Q channel of the receiving device 10 respectively, and then pass through an I channel and Q channel amplitude imbalance α R and I channel and Q channel phase imbalance θ R of the I channel and Q The channel downconverter, d represents the DC offset of the receiving device 10.

為將訊號以實數表示,使方程式(41)(40)代入方程式(39),並展開I通道與Q通道兩路可得下方程式(42): 將方程式(42)中exp項展開如下方程式(43): 接續將上式展開化簡分成I通道與Q通道兩路訊號可得下兩方程式(44)(45): In order to represent the signal as a real number, substituting equations (41) and (40) into equation (39), and expanding the two channels of I channel and Q channel, the following formula (42) is obtained: Expand the exp term in equation (42) as the following equation (43): Then, the above formula is simplified and divided into two signals of I channel and Q channel to obtain two equations (44) and (45):

得到I通道與Q通道兩路訊號後,可定義四個前端濾波器14分別為e 1(n)、e 2(n)、e 3(n)、e 4(n)並將方程式(44)及方程式(45)轉換如下方程式(46): 其中四個前端濾波器14的理想值可表示如下方程式(47): 利用方程式(37)和方程式(38)之關係,可將方程式(46)代換如下方程式(48)(49): After obtaining the two signals of I channel and Q channel, four front-end filters 14 can be defined as e 1 ( n ), e 2 ( n ), e 3 ( n ), e 4 ( n ), and equation (44) And equation (45) is transformed into equation (46) as follows: The ideal values of the four front-end filters 14 can be expressed by the following equation (47): Using the relationship between equation (37) and equation (38), the equation (46) can be replaced by the following equations (48) (49):

將方程式(48)和方程式(49)排列矩陣,其關係式如下方程式(50)(51): Arrange equation (48) and equation (49) in a matrix, and the relationship is as follows equations (50) and (51):

其中 ,,C,S矩陣項各表示如下方程式(52): 令方程式(50)及方程式(51)之共同矩陣項如下方程式(53): 同時將方程式(50)及方程式(51)經過最小平方法(LS)進行運算如下方程式(54)(55): among them , , C, S matrix terms are each expressed by the following equation (52): Let the common matrix term of equation (50) and equation (51) be the following equation (53): At the same time, the equation (50) and the equation (51) are calculated by the least square method (LS) as the following equations (54) and (55):

即可得接收端四個前端濾波器14(e 1e 2e 3e 4)之最佳解,並對經過前端濾波器14所產生的不完美訊號進行補償。 The receiving end can have four front-end filter 14 (e 1, e 2, e 3, e 4) of the optimal solution, and after imperfect signal generated by front-end filter 14 to compensate.

接著進入步驟S24至步驟S26,其中S24至步驟S26的校正直流偏移與後端濾波器18參數之方法皆與上述實施利相同,故在此不再重複敘述。 Then, step S24 to step S26 are performed. The methods of correcting the DC offset and the parameters of the back-end filter 18 in steps S24 to S26 are the same as those in the above-mentioned implementation, so they will not be repeated here.

接著進入步驟S28,接續針對發射裝置20進行補償,請持續參照第三圖與第四圖,首先在發射裝置20中建立一具有射頻不完美之聯合訊號模型,其如下列方程式(56) Then proceed to step S28, and continue to perform compensation for the transmitting device 20. Please continue to refer to the third and fourth figures. First, a joint signal model with radio frequency imperfection is established in the transmitting device 20, which is as shown in the following equation (56)

b=b I +j.b Q (59)其中x(t)為接收訊號,S p (t)表示經過預補償之複數訊號,h T,+(t)、h T,-(t)為表示發射端整體寬頻射頻不完美因子,以及則分別表示I通道與Q通道兩路低通濾波器脈衝響應,α T 為I通道與Q通道振幅不平衡與θ T 為I通道與Q通道相位不平衡,b表示發射端直流偏移。 b = b I + j. b Q (59) where x ( t ) is the received signal, S p ( t ) is the pre-compensated complex signal, h T, + ( t ), h T, - ( t ) are the wideband RF Perfection factor, as well as Then it represents the impulse response of the two low-pass filters of the I channel and the Q channel, respectively, α T is the amplitude imbalance of the I and Q channels and θ T is the phase imbalance of the I and Q channels, and b represents the DC offset at the transmitting end.

接著進入步驟S30,輸入一理想訊號S p (t)至聯合訊號模型產生一接收訊號x(t),並針對前端濾波器28之參數進行估測與補償,本實施例舉例理想訊號為BPSK訊號,其不存在任何發射端的相位振幅(IQ)不平衡之效應,因此本實施例可單純考慮前端濾波器28、後端濾波器24與直流偏移之參數,以同時對聯 合訊號模型之前端濾波器28、後端濾波器24與直流偏移之參數進行估測,並根據參數對接收訊號進行補償。其中估算前端濾波器28之參數的詳細步驟如下所示,為了使接收訊號以實數訊號表示,將上述方程式(57)(58)代入方程式(56),並將y(t)展開可得下列方程式(60): 接續將方程式(60)展開化簡分成I通道訊號與Q通道訊號之兩路訊號可得下方程式(61)(62): Then proceed to step S30, input an ideal signal S p ( t ) to the joint signal model to generate a received signal x ( t ), and estimate and compensate for the parameters of the front-end filter 28. The ideal signal is BPSK signal in this embodiment. , There is no effect of the phase amplitude (IQ) imbalance at the transmitting end, so this embodiment can simply consider the parameters of the front-end filter 28, the back-end filter 24 and the DC offset to simultaneously filter the front-end of the joint signal model The parameters of the converter 28, the back-end filter 24, and the DC offset are estimated, and the received signal is compensated according to the parameters. The detailed steps for estimating the parameters of the front-end filter 28 are shown below. In order to make the received signal be a real number signal, substituting the above equations (57) and (58) into equation (56), and expanding y ( t ) to obtain the following equation (60): Then, the equation (60) is expanded and simplified into two signals of the I channel signal and the Q channel signal. The following formulas (61) and (62) can be obtained:

得到I通道與Q通道兩路訊號後,可定義四個前端濾波器28分別為h 1(t)、h 2(t)、h 3(t)、h 4(t)並將方程式(61)及方程式(62)轉換如下方程式(63): 其中四個前端濾波器28的理想值可表示如下方程式(64): 經類比轉數位取樣後代號成為x I (n)、x Q (n)及理想訊號中已知傳送的訓練碼s I (n)、s Q (n)排列成矩陣,其關係式如下方程式(65)(66): After obtaining two signals of the I channel and the Q channel, four front-end filters 28 can be defined as h 1 ( t ), h 2 ( t ), h 3 ( t ), h 4 ( t ) and equation (61) And equation (62) is transformed into equation (63) as follows: The ideal values of the four front-end filters 28 can be expressed by the following equation (64): After analog-to-digital sampling, the code becomes x I ( n ), x Q ( n ), and the training codes s I ( n ) and s Q ( n ) known to be transmitted in the ideal signal are arranged into a matrix, and the relationship is as follows: 65) (66):

其中S I (n)、S Q (n)分別為S I (n)、S Q (n)之迴旋矩陣項,再利用最小平方法(LS)求得h 1h 2h 3h 4之最佳解。接著令方程式(65)及方程式(66)共同項S LS 如下方程式(67):S LS =[1 S I (n)S Q (n)] (67)接續將方程式(65)及方程式(66)經過最小平方法(LS)算如下方程式(68)(69)(70): Wherein S I (n), S Q (n) , respectively S I (n), S Q (n) of the swirling key matrix, and then using a least squares method (LS) to obtain h 1, h 2, h 3 , h The best solution of 4 . Next, let the common term S LS of equation (65) and equation (66) be the following equation (67): S LS = [ 1 S I ( n ) S Q ( n )] (67) Continue the equation (65) and the equation (66) ) After the least square method (LS) is calculated as the following equations (68) (69) (70):

即可得四個前端濾波器28(h 1h 2h 3h 4)之最佳解,並對經過前端濾波器28所產生的不完美訊號進行補償。 The best solutions of the four front-end filters 28 ( h 1 , h 2 , h 3 , h 4 ) can be obtained, and the imperfect signals generated by passing through the front-end filters 28 can be compensated.

估計出發射裝置20中的四個前端濾波器28之參數h 1h 2h 3h 4後,接下來進入步驟S32,以單純針對直流偏移之參數進行估算,請配合參照第三圖,發射裝置20之後端降頻器26的直流偏移值a經過四個前端濾波器28(h 1h 2h 3h 4)後,需與前端降頻器28之直流偏移值b相消,即可消除直流偏移值,其數學式如下方程式(71)(72):a I .1 T .h 1+a Q .1 T .h 2+b I =0 a I .1 T .h 3+a Q .1 T .h 4+b Q =0 (71) After the parameters h 1 , h 2 , h 3 , and h 4 of the four front-end filters 28 in the transmitting device 20 are estimated, the process proceeds to step S32 to estimate the parameters of the DC offset, please refer to the third In the figure, after the DC offset value a of the downconverter 26 at the rear of the transmitting device 20 has passed the four front-end filters 28 ( h 1 , h 2 , h 3 , h 4 ), the DC offset from the front-end downconverter 28 is required. cancellation values b, to remove the DC offset, which equation the following equation (71) (72): a I. 1 T. h 1 + a Q. 1 T. h 2 + b I = 0 a I. 1 T. h 3 + a Q. 1 T. h 4 + b Q = 0 (71)

a=d+j.a Q (72) 得知後端直流偏移值a和前端直流偏移值b之關係後,可利用方程式(68)及方程式(69)所估計之h 1h 2h 3h 4排列成矩陣,即可求出後端直流偏移值a,其矩陣可排列如下方程式(73),再利用利用h 1h 2h 3h 4之反矩陣即可求出後端直流偏移值a如下方程式(74): a = d + j. a Q (72) After knowing the relationship between the back-end DC offset value a and the front-end DC offset value b, h 1 , h 2 , h 3 , h 4 estimated by equation (68) and equation (69) can be used By arranging into a matrix, the back-end DC offset value a can be obtained. The matrix can be arranged as the following equation (73), and then using the inverse matrix of h 1 , h 2 , h 3 , h 4 to obtain the back-end DC offset. The offset value a is the following equation (74):

最後進入步驟S34,針對四個前端濾波器28(h 1h 2h 3h 4)作補償,經類比轉數位取樣後,s I (n),s Q (n)為發射裝置20之基頻I通道與Q通道訊號,經過四個後端濾波器24(g1、g2、g3、g4)後再經過四個前端濾波器28(h 1h 2h 3h 4),並分出I通道與Q通道兩路,x I (n)、x Q (n)即為經發射裝置20後端校正過後之訊號,可將整體數學式整理如下方程式(75)(76): And finally into the step S34, for the four front-end filter 28 (h 1, h 2, h 3, h 4) as compensation, after sampling by the analog digital revolution, s I (n), s Q (n) of the emitter 20 The signals of the fundamental frequency I-channel and Q-channel pass four back-end filters 24 (g 1 , g 2 , g 3 , g 4 ) and then four front-end filters 28 ( h 1 , h 2 , h 3 , h 4 ), and divide into two channels of I channel and Q channel, x I ( n ), x Q ( n ) are the signals corrected by the rear end of the transmitting device 20, and the overall mathematical formula can be arranged as the following equation (75) (76):

欲求出四個後端濾波器24之參數(g1、g2、g3、g4),將上式中s I (n)、s Q (n)即提出,重新整理數學式如下方程式(77)(78): To find the parameters of the four back-end filters 24 (g 1 , g 2 , g 3 , g 4 ), put s I ( n ) and s Q ( n ) in the above formula, and rearrange the mathematical formula as follows ( 77) (78):

以I通道為例,利用方程式(77)s I (n)及x I (n)兩者之關係,只保留I通道的部分使其等於一脈衝函數,則Q通道部分使其等於零,數學式如下方程式(79): 並可將上式重新排列如下方程式(80): Taking the I channel as an example, using the relationship between equation (77) s I ( n ) and x I ( n ), keeping only the part of the I channel to make it equal to a pulse function, then the part of the Q channel makes it equal to zero. Mathematical formula Such as the following formula (79): The above formula can be rearranged as the following equation (80):

δ=[1 0…0] T (81)其中H k h k 之迴旋矩陣項k=1,2,3,4,δ為一脈衝函數。接著將方程式(80)排列成矩陣,利用最小平方法(LS)求得g1、g3,方程式(82)表示如下: δ = [1 0… 0] T (81) where H k is the convolution matrix term of h k k = 1,2,3,4, and δ is a pulse function. Then arrange equation (80) into a matrix, and use the least square method (LS) to find g 1 and g 3. Equation (82) is expressed as follows:

延續相同概念,將Q支路利用方程式(78)s Q (n)及x Q (n)兩者之關係,保留Q通道的部分,使其等於一脈衝函數,I通道的部分則使其為零,關係式如下方程式(85): 將上述方程式(85)重新排列如下方程式(86): 其中H同為方程式(84),最後將方程式(86)排列成矩陣,如下方程式(87)所示: Continuing the same concept, the Q branch uses the relationship between equations (78) s Q ( n ) and x Q ( n ), keeping the part of the Q channel equal to a pulse function, and the part of the I channel making it Zero, the relationship is as follows equation (85): Rearrange the above equation (85) into the following equation (86): H is the same as equation (84), and finally the equation (86) is arranged into a matrix, as shown in the following equation (87):

最後即可利用最小平方法(LS)求得g2、g4,以得到四個後端濾波器24之參數(g1、g2、g3、g4),並對經過後端濾波器24所產生的不完美訊號進行補償。 Finally, the least square method (LS) can be used to obtain g 2 and g 4 to obtain the parameters of the four back-end filters 24 (g 1 , g 2 , g 3 , and g 4 ). 24 to compensate for imperfect signals.

本發明使用上述實施例之方法進行訊號的校正,可明顯將訊號校正成較完美之訊號,接下來舉例各項實驗數據以證明使用本實施例之方法可將訊號校正成較完美之訊號。請配合參照第五圖、第六a圖、第六b圖、第七a圖與第七b圖,由於發射裝置與接收裝置校正訊號的方法與結果皆相同,因此本實施例僅以接收裝置10作為實施例說明。首先請參照第五圖,其係為偵測訊號之實驗數據的系統架構圖,其包括一發射器30可為亞德諾(ADI)公司所生產的型號AD9371之收發器,發射器30訊號連接接收裝置10,以發射訊號至接收裝置10,其中發射器30發射的訊號頻率設定為10MHz的單頻訊號。以及一電腦主機32訊號連接至接收裝置10,令接收裝置10校正後的訊號可傳遞至電腦主機32中,以使用電腦主機32中的分析軟體(MATLAB)分析並計算單頻訊號經發射裝置10後所校正之訊號,並在電腦主機32上的顯示螢幕34顯示出校正之訊號的各項實驗數據。 In the present invention, the signal correction using the method of the above embodiment can obviously correct the signal into a more perfect signal. Next, various experimental data are exemplified to prove that the signal can be corrected into a more perfect signal using the method of this embodiment. Please refer to FIG. 5, FIG. 6a, FIG. 6b, FIG. 7a, and FIG. 7b. Since the method and result of correcting the signal by the transmitting device and the receiving device are the same, this embodiment only uses the receiving device 10 is explained as an example. First please refer to the fifth figure, which is a system architecture diagram of the experimental data of the detection signal, which includes a transmitter 30 which can be a model AD9371 transceiver produced by Analog Devices (ADI), and the transmitter 30 signal connection The receiving device 10 transmits a signal to the receiving device 10, and the frequency of the signal transmitted by the transmitter 30 is set to a single-frequency signal of 10 MHz. And a computer host 32 signal is connected to the receiving device 10, so that the corrected signal of the receiving device 10 can be transmitted to the computer host 32 to use the analysis software (MATLAB) in the computer host 32 to analyze and calculate the single frequency signal via the transmitting device 10 After the corrected signal, various experimental data of the corrected signal are displayed on the display screen 34 on the computer host 32.

電腦主機32(MATLAB)分析如下所述,首先請參第六a圖,原本未進行校正之前的鏡像抑制比率(Image Rejection Ratio,IMRR)為44.6274dBm,但經接收裝置10校正訊號之後請參照第六b圖,IMRR則可提升至61dB左右。而多載波的部分請參照第七a圖,未校正前誤差向量振幅(Error Vector Magnitude,EVM)約維持33dB左右,經過接收裝置10對訊號較正處理後,請參照第七b圖,EVM則可提升至41dB左右。 The analysis of the computer host 32 (MATLAB) is as follows. First, please refer to Figure 6a. The original image rejection ratio (IMRR) before correction was 44.6274dBm, but after the signal is corrected by the receiving device 10, please refer to section 6. Figure 6b, IMRR can be increased to about 61dB. For the multi-carrier part, please refer to Figure 7a. The uncorrected Error Vector Magnitude (EVM) is maintained at about 33dB. After the receiving device 10 corrects the signal, please refer to Figure 7b. EVM can Increase to about 41dB.

綜上所述,本發明可針對不完美的訊號進行校正,以解決訊號經過濾波器所產生訊號偏移,及直流偏移等問題,且能同時針對接收端以及發射端 之不完美訊號進行補償,以補償不完美的訊號。 In summary, the present invention can correct imperfect signals to solve the problems of signal offset and DC offset caused by the signal passing through the filter, and can simultaneously target the receiving end and the transmitting end. Compensate for imperfect signals to compensate for imperfect signals.

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 foregoing are merely preferred embodiments of the present invention, and are not intended to limit the scope of implementation of the present invention. Therefore, all equal changes or modifications made according to the features and spirit described in the scope of the application of the present invention shall be included in the scope of patent application of the present invention.

10‧‧‧接收裝置 10‧‧‧ receiving device

12‧‧‧接收器 12‧‧‧ Receiver

14‧‧‧前端濾波器 14‧‧‧ front-end filter

16‧‧‧前端降頻器 16‧‧‧Front-end downconverter

18‧‧‧後端濾波器 18‧‧‧ back-end filter

19‧‧‧後端降頻器 19‧‧‧back-end downconverter

20‧‧‧發射裝置 20‧‧‧ launcher

22‧‧‧接收器 22‧‧‧ Receiver

24‧‧‧後端濾波器 24‧‧‧Back-end filter

26‧‧‧後端降頻器 26‧‧‧Back-end downconverter

28‧‧‧前端濾波器 28‧‧‧ front-end filter

29‧‧‧前端降頻器 29‧‧‧Front-end downconverter

30‧‧‧發射器 30‧‧‧ launcher

32‧‧‧電腦主機 32‧‧‧Computer host

34‧‧‧顯示螢幕 34‧‧‧display

第一圖係為本發明之接收裝置系統方塊圖。 第二圖係為本發明接收裝置校正不完美訊號之步驟流程圖。 第三圖係為本發明之接收裝置及發射裝置系統方塊圖。 第四圖係為本發明接收裝置及發射裝置之步驟流程圖。 第五圖係為本發明產生實驗數據之系統方塊圖。 第六a圖係為本發明補償前之訊號IMMR分析圖。 第六b圖係為本發明補償後之訊號IMMR分析圖。 第七a圖係為本發明補償前之訊號EVM分析圖。 第七b圖係為本發明補償後之訊號EVM分析圖。The first figure is a block diagram of a receiving device system of the present invention. The second figure is a flowchart of the steps for the receiver to correct the imperfect signal. The third figure is a block diagram of a receiving device and a transmitting device system of the present invention. The fourth figure is a flowchart of the steps of the receiving device and the transmitting device of the present invention. The fifth figure is a block diagram of a system for generating experimental data according to the present invention. Figure 6a is the IMMR analysis diagram of the signal before compensation according to the present invention. Figure 6b is the IMMR analysis signal of the signal after compensation according to the present invention. Figure 7a is the EVM analysis chart of the signal before compensation according to the present invention. Figure 7b is an EVM analysis diagram of the signal after compensation according to the present invention.

Claims (11)

一種提升寬頻射頻訊號品質之調校方法,包括下列步驟:建立一具有射頻不完美之聯合訊號模型;輸入一理想訊號至該聯合訊號模型產生一接收訊號,以對該聯合訊號模型之前端濾波器進行估測,並估算該前端濾波器之參數,再根據該前端濾波器之參數對該接收訊號進行補償;對該接收訊號之直流偏移進行估測,以估算該直流偏移之參數;以及對該聯合訊號模型之後端濾波器進行估測,以估算該後端濾波器之參數,並根據該後端濾波器之參數與該直流偏移之參數,對該接收訊號進行補償。 A calibration method for improving the quality of a broadband radio frequency signal includes the following steps: establishing a joint signal model with radio frequency imperfection; inputting an ideal signal into the joint signal model to generate a reception signal for a front-end filter of the joint signal model Make an estimate, estimate the parameters of the front-end filter, and then compensate the received signal based on the parameters of the front-end filter; estimate the DC offset of the received signal to estimate the DC offset parameter; and The rear-end filter of the joint signal model is estimated to estimate the parameters of the back-end filter, and the received signal is compensated based on the parameters of the back-end filter and the parameter of the DC offset. 如請求項1所述之提升寬頻射頻訊號品質之調校方法,其中該聯合訊號模型係可表示為以下方程式: 該r(t)為該接收訊號,該h R,+(t)、h R,-(t)為寬頻射頻不完美因子,該y(t)為該理想訊號,該d為該直流偏移。 The adjustment method for improving the quality of a broadband radio frequency signal as described in claim 1, wherein the joint signal model can be expressed as the following equation: The r ( t ) is the received signal, the h R, + ( t ), h R, - ( t ) are broadband imperfection factors, the y ( t ) is the ideal signal, and d is the DC offset . 如請求項1所述之提升寬頻射頻訊號品質之調校方法,其中估算該前端濾波器之參數的步驟中,更包括下列步驟:將該接收訊號分成相位通道(I通道)訊號與振幅通道(Q通道)訊號;定義該前端濾波器與該相位通道訊號與振幅通道訊號的關係,以方程式表示如下所示: 其中該r I (t)為該相位通道訊號,該r Q (t)為該振幅通道訊號,該e 1(t)、 e 2(t)、e 3(t)、e 4(t)為前端濾波器之參數,該y I (t)為該相位通道訊號,該y Q (t)為該振幅通道訊號,該d I d Q 為前端之直流偏移參數;將該相位通道訊號與該振幅通道訊號經類比轉數位取樣,以與該理想訊號中的訓練碼排列成矩陣;以及利用最小平方(LS)演算法求得該相位通道訊號與振幅通道訊號中,該等前端濾波器所對應之每一平行濾波器之參數。 The adjustment method for improving the quality of a broadband radio frequency signal according to claim 1, wherein the step of estimating the parameters of the front-end filter further includes the following steps: dividing the received signal into a phase channel (I channel) signal and an amplitude channel ( Q channel) signal; define the relationship between the front-end filter, the phase channel signal and the amplitude channel signal, expressed by the equation as follows: Where r I ( t ) is the phase channel signal, the r Q ( t ) is the amplitude channel signal, and e 1 ( t ), e 2 ( t ), e 3 ( t ), and e 4 ( t ) are The parameters of the front-end filter, the y I ( t ) is the phase channel signal, the y Q ( t ) is the amplitude channel signal, the d I , d Q are the DC offset parameters of the front-end; The amplitude channel signal is digitally sampled by analogy to form a matrix with the training code in the ideal signal; and the least square (LS) algorithm is used to obtain the phase channel signal and the amplitude channel signal. Corresponding parameters of each parallel filter. 如請求項3所述之提升寬頻射頻訊號品質之調校方法,其中將該相位通道訊號與該振幅通道訊號經類比轉數位取樣,以與該理想訊號中的該訓練碼排列成矩陣可表示為以下方程式: 其中該r I (n)為類比轉數位取樣後的該相位通道訊號,該r Q (n)為類比轉數位取樣後的該振幅通道訊號,該YI(n)為該y I (n)之迴旋矩陣,該YQ(n)為該y Q (n)之迴旋矩陣,該e 1e 2e 3e 4為前端濾波器之參數,該d I d Q 為前端之直流偏移參數。 The adjustment method for improving the quality of a broadband radio frequency signal as described in claim 3, wherein the phase channel signal and the amplitude channel signal are digitally sampled by analog rotation, and arranged in a matrix with the training code in the ideal signal, which can be expressed as The following equation: Wherein the r I (n) for the analog switch of the phase channel signal after sampled digital, the r Q (n) of analog switch the amplitude of the channel signal after sampled digital, the Y I (n) for the y I (n) the matrix of swirl, the Y Q (n) for y Q (n) of the matrix of swirl, the e 1, e 2, e 3 , e 4 of the front-end filter parameters, the d I, d Q DC front end of Offset parameter. 如請求項3所述之提升寬頻射頻訊號品質之調校方法,其中估算該後端濾波器之參數的步驟中,更包括下列步驟:令相位通道訊號等於一脈衝函數,該振幅通道訊號等於零,其以方程式(4)表示如下所示: 其中該f 1(n)、f 2(n)為經類比轉數位取樣的該後端濾波器之參數,該e 1(n)、e 2(n)、e 3(n)、e 4(n)為經類比轉數位取樣的該前端濾波器之參數,該δ(n)為該脈衝函數;使用一迴旋矩陣演算法及最小平方法估測出該後端濾波器f 1(n)、f 2(n)之參數;令該振幅通道訊號等於該脈衝函數,該相位通道訊號等於零,其以方程式表示如下所示: 其中該f 3(n)、f 4(n)為經類比轉數位取樣的該後端濾波器之參數,該e 1(n)、e 2(n)、e 3(n)、e 4(n)為經類比轉數位取樣的該前端濾波器之參數,該δ(n)為該脈衝函數;以及使用該迴旋矩陣演算法及最小平方法估測出該後端濾波器f 3(n)、f 4(n)之參數。 The adjustment method for improving the quality of a broadband RF signal as described in claim 3, wherein the step of estimating the parameters of the back-end filter further includes the following steps: making the phase channel signal equal to a pulse function and the amplitude channel signal equal to zero, It is represented by equation (4) as follows: Where f 1 ( n ), f 2 ( n ) are parameters of the back-end filter sampled by analog rotation, and e 1 ( n ), e 2 ( n ), e 3 ( n ), e 4 ( n ) is the parameter of the front-end filter sampled by analog rotation, and δ ( n ) is the pulse function; the back-end filter f 1 ( n ) is estimated using a convolution matrix algorithm and the least square method. f 2 ( n ); let the amplitude channel signal be equal to the pulse function, and the phase channel signal be equal to zero, which is expressed by the equation as follows: Where f 3 ( n ), f 4 ( n ) are parameters of the back-end filter sampled by analog to digital, the e 1 ( n ), e 2 ( n ), e 3 ( n ), e 4 ( n ) is the parameter of the front-end filter sampled by analog rotation, and δ ( n ) is the pulse function; and the back-end filter f 3 ( n ) is estimated using the convolution matrix algorithm and the least square method. , F 4 ( n ). 如請求項5所述之提升寬頻射頻訊號品質之調校方法,其中使用該迴旋矩陣演算法及最小平方法估測出該後端濾波器f 1(n)、f 2(n)之參數之步驟中,該迴旋矩陣演算法之方程式如下所示: 其中該E 1E 2E 3E 4為該e 1e 2e 3e 4之迴旋矩陣,該f 1f 2為該後端濾波器之參數。 The adjustment method for improving the quality of a broadband radio frequency signal as described in claim 5, wherein the convolution matrix algorithm and the least square method are used to estimate the parameters of the back-end filters f 1 ( n ), f 2 ( n ) In the step, the equation of the convolution matrix algorithm is as follows: The E 1 , E 2 , E 3 , and E 4 are convolution matrices of the e 1 , e 2 , e 3 , and e 4 , and the f 1 and f 2 are parameters of the back-end filter. 如請求項5所述之提升寬頻射頻訊號品質之調校方法,其中使用該迴旋矩陣演算法及最小平方法估測出該後端濾波器f 3(n)、f 4(n)之參數 之步驟中,該迴旋矩陣演算法之方程式如下所示: 其中該E 1E 2E 3E 4為該e 1e 2e 3e 4之迴旋矩陣,該f 3f 4為該後端濾波器之參數,該δ為該脈衝函數。 The adjustment method for improving the quality of a broadband RF signal as described in claim 5, wherein the convolution matrix algorithm and the least square method are used to estimate the parameters of the back-end filters f 3 ( n ) and f 4 ( n ). In the step, the equation of the convolution matrix algorithm is as follows: Where E 1 , E 2 , E 3 , and E 4 are the convolution matrix of e 1 , e 2 , e 3 , and e 4 , f 3 and f 4 are parameters of the back-end filter, and δ is the pulse function. 如請求項1所述之提升寬頻射頻訊號品質之調校方法,其中在估算該後端濾波器之參數的步驟中更包括補償該直流偏移,其中該直流偏移包括一前端直流偏移與一後端直流偏移,補償該直流偏移步驟包括:使該前端直流偏移之參數與該後端直流偏移之參數相消,其以方程式表示如下所示: 其中該c I c Q 為該後端直流偏移之參數,該f 1(n)、f 2(n)、f 3(n)、f 4(n)為後端濾波器之參數,該d I d Q 為該前端直流偏移之參數;以及取得該後端直流偏移之參數,以利用該前端直流偏移之參數與該後端直流偏移之參數對該接收訊號進行補償。 The method for improving the quality of a broadband radio frequency signal according to claim 1, wherein the step of estimating the parameters of the back-end filter further includes compensating the DC offset, wherein the DC offset includes a front-end DC offset and A back-end DC offset, and the step of compensating the DC offset includes: canceling a parameter of the front-end DC offset and a parameter of the back-end DC offset, which is expressed by an equation as follows: Where c I and c Q are parameters of the back-end DC offset, and f 1 ( n ), f 2 ( n ), f 3 ( n ), and f 4 ( n ) are parameters of the back-end filter. d I and d Q are parameters of the front-end DC offset; and parameters of the back-end DC offset are obtained to compensate the received signal by using the parameters of the front-end DC offset and the parameters of the back-end DC offset. 如請求項1所述之提升寬頻射頻訊號品質之調校方法,其中在輸入該理想訊號至該聯合訊號模型產生該接收訊號之步驟中,更包括一發射端發射該理想訊號至一接收端中的該聯合訊號模型,該聯合訊號模型所產生的該接收訊號則產生一頻率偏移,並將該接收訊號類比轉數位取樣後,持續進入對該聯合訊號模型之前端濾波器進行估測, 以估算該前端濾波器之參數之步驟。 The adjustment method for improving the quality of a broadband radio frequency signal according to claim 1, wherein in the step of inputting the ideal signal into the joint signal model to generate the reception signal, a transmitting end transmits the ideal signal to a receiving end The combined signal model, the received signal generated by the combined signal model generates a frequency offset, and the analog signal of the received signal is digitally rotated, and then continues to enter the estimation of the front-end filter of the combined signal model, Steps to estimate the parameters of the front-end filter. 如請求項9所述之提升寬頻射頻訊號品質之調校方法,其中估算該前端濾波器之參數之步驟中包括:將該接收訊號分成相位通道(I通道)訊號與振幅通道(Q通道)訊號;定義該前端濾波器與該相位通道訊號與振幅通道訊號的關係,其以方程式表示如下所示: 其中該r I (n)為類比轉數位取樣後的該相位通道訊號,該r Q (n)為類比轉數位取樣後的該振幅通道訊號,該e 1(n)、e 2(n)、e 3(n)、e 4(n)為類比轉數位取樣後的前端濾波器之參數,該(n)為產生頻率偏移之該相位通道訊號,該(n)為產生頻率偏移之該振幅通道訊號,該d I d Q 為前端之該直流偏移參數;將該相位通道訊號與該振幅通道訊號排列成矩陣;以及利用最小平方(LS)演算法求得該相位通道訊號與振幅通道訊號中,該等前端濾波器所對應之每一平行濾波器之參數。 The method for adjusting the quality of a broadband radio frequency signal as described in claim 9, wherein the step of estimating the parameters of the front-end filter includes: dividing the received signal into a phase channel (I channel) signal and an amplitude channel (Q channel) signal ; Define the relationship between the front-end filter, the phase channel signal and the amplitude channel signal, which is expressed as an equation as follows: The r I ( n ) is the phase channel signal after analog to digital sampling, the r Q ( n ) is the amplitude channel signal after analog to digital sampling, e 1 ( n ), e 2 ( n ), e 3 ( n ) and e 4 ( n ) are the parameters of the front-end filter after analog-to-digital sampling. ( n ) is the phase channel signal that generates a frequency offset, the ( n ) is the amplitude channel signal that generates a frequency offset, and d I and d Q are the DC offset parameters at the front end; the phase channel signal and the amplitude channel signal are arranged in a matrix; and the least square (LS) is used The algorithm obtains the parameters of each parallel filter corresponding to the front-end filters in the phase channel signal and the amplitude channel signal. 如請求項10所述之提升寬頻射頻訊號品質之調校方法,其中將該相位通道訊號與該振幅通道訊號排列成矩陣,可表示為以下方程式: 其中該r I 為該相位通道訊號,該r Q 為該振幅通道訊號,該為產生頻率偏移之該接收訊號的迴旋矩陣,該C為toplitz(sin(2πμn)),該S為toplitz(cos(2πμn)),該e 1e 2e 3e 4為前端濾波器之參數,該b I b Q 為前端之直流偏移參數。 The adjustment method for improving the quality of a broadband radio frequency signal according to claim 10, wherein the phase channel signal and the amplitude channel signal are arranged in a matrix, which can be expressed as the following equation: Wherein r I for the phase channel signal, that the amplitude r Q channel signals, the , The received signal to produce a frequency shift of the swirling matrix, C is the toplitz (sin (2π μn)) , S is the toplitz (cos (2π μn)) , which e 1, e 2, e 3 , e 4 is The parameters of the front-end filter, the b I and b Q are the DC offset parameters of the front-end.
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