TW201328229A - Receiving apparatus and method for space frequency block code decoding - Google Patents

Receiving apparatus and method for space frequency block code decoding Download PDF

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TW201328229A
TW201328229A TW100149544A TW100149544A TW201328229A TW 201328229 A TW201328229 A TW 201328229A TW 100149544 A TW100149544 A TW 100149544A TW 100149544 A TW100149544 A TW 100149544A TW 201328229 A TW201328229 A TW 201328229A
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subcarrier
signal
demodulation
subcarriers
frequency domain
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Tzu-Hsien Sang
Yun-Yu Lee
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Univ Nat Chiao Tung
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Abstract

A receiving apparatus for SFBC decoding is adapted for processing an input signal encoded by SFBC with N demodulating subcarriers and obtaining the frequencies of N first subcarriers and N second subcarriers for generating the input signal by handshaking. The receiving apparatus implements SFBC decoding with a first channel signal, a second channel and the input signal, wherein the first channel signal is obtained by analyzing the input signal and related to the first subcarriers, the second channel signal is obtained by analyzing the input signal and related to the second subcarriers, and the phase of the input signal is shifted by the subcarriers. Besides, the receiving apparatus calculates the interference from adjacent subcarriers in the SFBC decoding result in order to optimize the decoding result.

Description

用以空間頻率塊狀碼解碼的接收裝置及其方法Receiving device for spatial frequency block code decoding and method thereof

本發明是有關於一種接收裝置,特別是指一種使用空間頻率塊狀碼(Space Frequency Block Code,SFBC)的接收裝置。The present invention relates to a receiving apparatus, and more particularly to a receiving apparatus using a Space Frequency Block Code (SFBC).

SFBC是常見用來增加系統可靠度的編碼方式,應用到合作式通訊(Cooperative Communication)系統時會使用兩個具有單一天線的傳送裝置來搭配實現。例如:透過兩個做為傳送裝置的中繼站(relay)合力將信號傳給做為接收裝置的手機。不過,不同傳送裝置的調變頻率存在些許差異,造成接收裝置難以從收到的信號中精確解碼,反而降低了系統可靠度。SFBC is a common coding method used to increase system reliability. When applied to a Cooperative Communication system, two transmission devices with a single antenna are used together. For example, a relay is used as a transmitting device to transmit a signal to a mobile phone as a receiving device. However, there are some differences in the modulation frequency of different transmission devices, which makes it difficult for the receiving device to accurately decode from the received signal, which in turn reduces system reliability.

為此,產學界相繼提出一些解碼方法,例如:Y. Zhang於2009年提出的”Multiple CFOs compensation and BER analysis for co-operative communication systems”,及Sang於2010年提出的”An SFBC-OFDM Receiver to Combat Multiple Carrier Frequency Offsets in Cooperative Communications”,但是這些方法都只能在調變頻率差異不大時有較佳的解碼表現。To this end, the industry and academia have successively proposed some decoding methods, such as: "Multiple CFOs compensation and BER analysis for co-operative communication systems" proposed by Y. Zhang in 2009, and "An SFBC-OFDM Receiver to" proposed by Sang in 2010. Combat Multiple Carrier Frequency Offsets in Cooperative Communications", but these methods can only have better decoding performance when the modulation frequency difference is not large.

因此,本發明之目的,即在提供一種用以SFBC解碼的接收裝置及其方法,縱使兩傳送裝置分別以不同調變頻率進行SFBC編碼,仍可有效解碼。Accordingly, it is an object of the present invention to provide a receiving apparatus for SFBC decoding and a method thereof that can effectively decode even if the two transmitting apparatuses perform SFBC encoding at different modulation frequencies, respectively.

於是,本發明用以SFBC解碼的接收方法,適用於以N個解調子載波處理一個基於SFBC編碼的輸入信號,該輸入信號包括載有N個分別對應該等解調子載波之第一子載波的一信號,並包括載有N個分別對應該等解調子載波之第二子載波的另一信號,且對應的第一子載波和第二子載波頻率不同,N>1,該接收方法包含以下步驟:(A)藉由一頻率同步器,基於對應的第一子載波和解調子載波的頻率差異調整該輸入信號的相位而得到一第一同步信號,並基於對應的第二子載波和解調子載波的頻率差異調整該輸入信號的相位而得到一第二同步信號;(B)藉由一時頻轉換器,利用該等調變子載波,將該第一同步信號從時域轉成頻域而得到一第一頻域信號,並將該第二同步信號從時域轉成頻域而得到一第二頻域信號;(C)藉由一通道評估器,分析該輸入信號,而得到關於載有該等第一子載波之信號的一第一通道信號,並得到關於載有該等第二子載波之信號的一第二通道信號;(D)藉由一解碼器,對該第一頻域信號和該第二頻域信號進行SFBC解碼得到N個分別對應於該等解調子載波的還原結果;及(E)藉由一判別器,為每一解調子載波,從所有可能解調符元中找出哪一個符元經過SFBC編碼和該等通道信號處理後會最接近對應的還原結果;其中,步驟(D)中,是根據該第一頻域信號中屬於偶子載波的成份與該第二頻域信號中屬於奇子載波的成份解碼得到一第一還原信號,並根據該第一頻域信號中屬於奇子載波的成份與該第二頻域信號中屬於偶子載波的成份解碼得到一第二還原信號,且以該第一還原信號和該第二還原信號組合出該等還原結果,並且該解碼是建立在該第一通道信號以及該第二通道信號的基礎上。Therefore, the receiving method for SFBC decoding of the present invention is applicable to processing an SFBC-coded input signal by using N demodulation subcarriers, the input signal comprising N first subcarriers respectively corresponding to demodulation subcarriers. a signal, and including another signal carrying N second subcarriers respectively corresponding to demodulation subcarriers, and corresponding first subcarriers and second subcarriers having different frequencies, N>1, the receiving method includes the following Step: (A) adjusting a phase of the input signal based on a frequency difference between the corresponding first subcarrier and the demodulation subcarrier by a frequency synchronizer to obtain a first synchronization signal, and based on the corresponding second subcarrier and the demodulation subcarrier The frequency difference adjusts the phase of the input signal to obtain a second synchronization signal; (B) by using a time-frequency converter, using the modulated subcarriers, the first synchronization signal is converted from the time domain to the frequency domain. a first frequency domain signal, and converting the second synchronization signal from the time domain to the frequency domain to obtain a second frequency domain signal; (C) analyzing the input signal by using a channel evaluator, and obtaining The a first channel signal of the signal of the first subcarrier, and a second channel signal for the signal carrying the second subcarrier; (D) the first frequency domain signal and the decoder Performing SFBC decoding on the second frequency domain signal to obtain N reduction results respectively corresponding to the demodulation subcarriers; and (E) finding, by using a discriminator, from all possible demodulation symbols for each demodulation subcarrier Which symbol is processed by SFBC and processed by the channel signals will be closest to the corresponding restoration result; wherein, in step (D), according to the component belonging to the even subcarrier in the first frequency domain signal and the second The component belonging to the odd subcarrier in the frequency domain signal is decoded to obtain a first restored signal, and is decoded according to a component belonging to the odd subcarrier in the first frequency domain signal and a component belonging to the even subcarrier in the second frequency domain signal. And a second reduction signal, and the reduction results are combined by the first reduction signal and the second reduction signal, and the decoding is based on the first channel signal and the second channel signal.

而本發明用以SFBC解碼的接收裝置,適用於以N個解調子載波處理一個基於SFBC編碼的輸入信號,該輸入信號包括載有N個分別對應該等解調子載波之第一子載波的一信號,並包括載有N個分別對應該等解調子載波之第二子載波的另一信號,且對應的第一子載波和第二子載波頻率不同,N>1,該接收裝置包含:一頻率同步器,基於對應的第一子載波和解調子載波的頻率差異調整該輸入信號的相位而得到一第一同步信號,並基於對應的第二子載波和解調子載波的頻率差異調整該輸入信號的相位而得到一第二同步信號;一時頻轉換器,利用該等調變子載波,將該第一同步信號從時域轉成頻域而得到一第一頻域信號,並將該第二同步信號從時域轉成頻域而得到一第二頻域信號;一通道評估器,分析該輸入信號,而得到關於載有該等第一子載波之信號的一第一通道信號,並得到關於載有該等第二子載波之信號的一第二通道信號;一解碼器,基於該第一通道信號,對該第一頻域信號和該第二頻域信號進行SFBC解碼得到N個分別對應於該等解調子載波的還原結果r k ,k=0~(N-1);一判別器,為每一解調子載波fd,k,從所有可能解調符元中找出哪一個符元經過SFBC編碼和該等通道信號處理後會最接近該還原結果r k ;及一干擾重建器,利用該等通道信號和反應每一解調子載波fd,k分別受該等第一子載波和該等第二子載波干擾的多個干擾係數,而根據每一解調子載波fd,k的找出符元計算出一補償信號;其中,該時頻轉換器會使用每一解調子載波fd,k的補償信號來調整該等頻域信號中對應解調子載波的成份,並提供調整後的頻域信號做為該解碼器下一次的解碼依據。The receiving apparatus for SFBC decoding of the present invention is adapted to process an SFBC encoded input signal by using N demodulation subcarriers, the input signal comprising one of N first subcarriers respectively corresponding to demodulation subcarriers. a signal, and including another signal that carries N second subcarriers respectively corresponding to demodulation subcarriers, and corresponding first subcarriers and second subcarriers have different frequencies, N>1, and the receiving apparatus includes: a frequency synchronizer that adjusts a phase of the input signal based on a frequency difference between the corresponding first subcarrier and the demodulation subcarrier to obtain a first synchronization signal, and adjusts the input signal based on a frequency difference between the corresponding second subcarrier and the demodulation subcarrier a second synchronization signal is obtained by phase; a time-frequency converter uses the modulated subcarriers to convert the first synchronization signal from the time domain to the frequency domain to obtain a first frequency domain signal, and the second synchronization Converting the signal from the time domain to the frequency domain to obtain a second frequency domain signal; a channel evaluator analyzing the input signal to obtain a first channel for the signal carrying the first subcarriers And obtaining a second channel signal for the signal carrying the second subcarriers; a decoder for performing SFBC decoding on the first frequency domain signal and the second frequency domain signal based on the first channel signal Obtaining N reduction results r k corresponding to the demodulation subcarriers, k=0~(N-1); a discriminator for each demodulation subcarrier f d,k , from all possible demodulation symbols Finding which symbol is closest to the reduction result r k after SFBC coding and processing of the channel signals; and an interference reconstructor, using the channel signals and reacting each demodulation subcarrier f d,k respectively And a plurality of interference coefficients interfered by the first subcarrier and the second subcarriers, and a compensation signal is calculated according to the symbol of each demodulation subcarrier f d,k ; wherein the time-frequency converter is used The compensation signal of each demodulation subcarrier f d,k adjusts the components of the corresponding demodulation subcarriers in the frequency domain signals, and provides the adjusted frequency domain signal as the next decoding basis of the decoder.

有關本發明之前述及其他技術內容、特點與功效,在以下配合參考圖式之一個較佳實施例的詳細說明中,將可清楚的呈現。The above and other technical contents, features and advantages of the present invention will be apparent from the following detailed description of the preferred embodiments.

在本發明被詳細描述之前,要注意的是,在以下的說明內容中,類似的元件是以相同的編號來表示。Before the present invention is described in detail, it is noted that in the following description, similar elements are denoted by the same reference numerals.

原理推導與介紹Principle derivation and introduction

參閱圖1,合作式通訊系統使用分別具有單一天線(圖未示)的第一傳送裝置R1和第二傳送裝置R2來實現SFBC編碼。各傳送裝置R1、R2利用OFDM(正交分頻多工,orthogonal frequency division multiplexing)方式使多個待傳送符元分別載到N個子載波中,再藉由天線傳送出去。然後,接收裝置UE再以N個對應的解調子載波來還原收到的信號。Referring to Figure 1, the cooperative communication system implements SFBC encoding using a first transmitting device R1 and a second transmitting device R2 each having a single antenna (not shown). Each of the transmission devices R1 and R2 uses an OFDM (orthogonal frequency division multiplexing) method to carry a plurality of to-be-transmitted symbols to the N subcarriers, and then transmit them through the antenna. The receiving device UE then restores the received signal with N corresponding demodulation subcarriers.

為符合SFBC的編碼特性,先使待傳送符元X0,X1,X2,X3,...依照符元順序兩兩配對,以供傳送裝置R1將屬於同一對的符元依順序配置給頻率遞增的兩相鄰子載波,傳送裝置R2將該配對的後面符元配置給一子載波且將前面符元配置給其相鄰較高頻的子載波。N=8時的符元配置關係可參考圖2。In order to comply with the coding characteristics of SFBC, the symbols X 0 , X 1 , X 2 , X 3 , ... to be transmitted are first paired according to the order of the symbols, so that the transmitting device R1 will assign the symbols belonging to the same pair in order. The two adjacent subcarriers are allocated to the frequency increment, and the transmitting device R2 configures the following symbols of the pairing to one subcarrier and configures the preceding symbols to the adjacent higher frequency subcarriers. Refer to Figure 2 for the symbol configuration relationship at N=8.

前述傳送裝置R1所使用的N個第一子載波fR1,k、傳送裝置R2所使用的N個第二子載波fR2,k,和接收裝置UE所使用的N個解調子載波fd,k分別相互對應,k=0~(N-1)。不過,該等傳送裝置R1~R2和接收裝置UE皆為獨立裝置,所以對應的第一子載波、第二子載波和解調子載波存在些許頻率差。The N first subcarriers f R1,k used by the transmitting device R1, the N second subcarriers f R2,k used by the transmitting device R2, and the N demodulation subcarriers f d used by the receiving device UE , k corresponds to each other, k=0~(N-1). However, the transmitting devices R1 R R2 and the receiving device UE are independent devices, so there are some frequency differences between the corresponding first subcarrier, the second subcarrier and the demodulating subcarrier.

如熟悉本技藝者所知,傳送裝置R1會依照子載波遞增順序將該等符元編碼成,而根據式(1)輸出信號。另一方面,傳送裝置R2將符元編碼成,而根據式(1)輸出信號。式(1)中,α{R1,R2},-N p n N-1,Np是循環前置(cyclic prefix)符元數目。As is known to those skilled in the art, the transmitting device R1 encodes the symbols into subcarriers in ascending order. And output the signal according to equation (1). On the other hand, the transmitting device R2 encodes the symbol into And output the signal according to equation (1). In the formula (1), α {R1,R2},- N p n N -1, N p is the number of cyclic prefix symbols.

這兩個傳送裝置R1、R2送出的信號會經過通道傳遞而在接收裝置UE處形成一個如式(2)的輸入信號,其中h α (.)是傳送裝置α至接收裝置UE的通道脈衝響應,L是通道脈衝響應的總階(tap)數,z(n)代表雜訊。而式(2)的相位調整項exp(j2πε α n/N)則是鑒於傳送裝置α和接收裝置UE的子載波頻率差,較佳地ε α 是「傳送裝置α的子載波f α , k 相較於解調子載波f d , k 的頻率差」之於相鄰解調子載波f d , k 間距的比例。The signals sent by the two transmitting devices R1, R2 are transmitted through the channel to form an input signal of the equation (2) at the receiving device UE, where h α (.) is the channel impulse response of the transmitting device α to the receiving device UE. , L is the total number of taps of the channel impulse response, and z(n) represents the noise. The phase adjustment term exp( j 2 πε α n /N) of the equation (2) is based on the subcarrier frequency difference between the transmitting device α and the receiving device UE. Preferably, ε α is the subcarrier f α of the transmitting device α . , k is the ratio of the frequency difference of k to the demodulation subcarriers f d , k to the adjacent demodulation subcarriers f d , k spacing.

接收裝置UE為了補償子載波f α , k 相較於解調子載波f d , k 的頻率差,特地在解碼前先讓輸入信號乘上exp(-j2πε R1 n/N)得到第一同步信號,並讓輸入信號乘上exp(-j2πε R2 n/N)得到第二同步信號。接著,根據解調子載波f d , k 將該等同步信號從時域轉到頻域,而得到第一頻域信號YR1和第二頻域信號YR2。第一頻域信號YR1和第二頻域信號YR2可表示為式(3),其中,干擾係數如式(4)用以反應第k個解調子載波受第m個第一子載波的干擾,干擾係數如式(4)用以反應第k個解調子載波受第m個第二子載波的干擾,m=0~(N-1)。又式(5)中,為所有干擾係數的集合,HR1是代表h R1(.)頻率響應的第一通道信號,HR2是代表h R2(.)頻率響應的第二通道信號,,W為z(n)的頻率響應,矩陣AH是矩陣A的厄米共軛矩陣(Hermitian conjugate matrix)。In order to compensate the frequency difference between the subcarriers f α , k and the demodulation subcarriers f d , k , the receiving device UE first multiplies the input signal by exp(− j 2 πε R1 n /N) to obtain the first synchronization before decoding. The signal is passed , and the input signal is multiplied by exp(- j 2 πε R2 n /N) to obtain a second synchronization signal. Then, the isochronous signal is transferred from the time domain to the frequency domain according to the demodulation subcarrier f d , k to obtain the first frequency domain signal Y R1 and the second frequency domain signal Y R2 . The first frequency domain signal Y R1 and the second frequency domain signal Y R2 may be expressed as equation (3), where the interference coefficient Equation (4) is used to react to the interference of the mth first subcarrier by the kth demodulation subcarrier, and the interference coefficient Equation (4) is used to reflect that the kth demodulation subcarrier is interfered by the mth second subcarrier, m=0~(N-1). In equation (5), For a set of all interference coefficients, H R1 is the first channel signal representing the frequency response of h R1 (.), and H R2 is the second channel signal representing the frequency response of h R2 (.), , W is the frequency response of z(n), and matrix A H is the Hermitian conjugate matrix of matrix A.

接下來,根據頻域信號YR1,YR2進行SFBC解碼。詳細解碼方式如式(6),將YR1的偶子載波成份集合成YR1,e,並將YR2的奇子載波成份集合成YR2,o,以還原出。另一方面,將YR2的偶子載波成份集合成YR2,e,並將YR1的奇子載波成份集合成YR1,o,以還原出Next, SFBC decoding is performed based on the frequency domain signals Y R1 , Y R2 . The detailed decoding method is as shown in equation (6), the even subcarrier components of Y R1 are grouped into Y R1,e , and the odd subcarrier components of Y R2 are grouped into Y R2,o to restore with . On the other hand, the even subcarrier components of Y R2 are grouped into Y R2,e , and the odd subcarrier components of Y R1 are grouped into Y R1,o to restore with .

其中,HR1,e是第一通道信號HR1中屬於偶子載波的成份,HR1,o是第一通道信號HR1中屬於奇子載波的成份,HR2,e是第二通道信號HR2中屬於偶子載波的成份,HR1,o是第二通道信號HR2中屬於奇子載波的成份。並且,GA、GB、GC、GD分別由G拆解得到,詳見式(7)。而式(8)更列出之於X e =[X 0 X 2 X 4... X N -2]和X o =[X 1 X 3 X 5... X N -1]的關係,其中W α , e 是頻域信號Y α 中偶子載波成份受到的雜訊,W α , o 是頻域信號Y α 中奇子載波成份受到的雜訊。Where H R1,e is the component of the first channel signal H R1 belonging to the even subcarrier, H R1,o is the component of the first channel signal H R1 belonging to the odd subcarrier, and H R2,e is the second channel signal H The component of R2 belonging to the even subcarrier, H R1,o is the component of the second channel signal H R2 belonging to the odd subcarrier. Further, G A , G B , G C , and G D are respectively obtained by G disassembly, as shown in the formula (7). And formula (8) is more listed , , with The relationship between X e =[ X 0 X 2 X 4 ... X N -2 ] and X o =[ X 1 X 3 X 5 ... X N -1 ], where W α , e is the frequency domain The noise received by the even subcarrier component in the signal Y α , W α , o is the noise received by the odd subcarrier component in the frequency domain signal Y α .

由於都會隨|ε R1-ε R2|變大而遞減,所以擬捨棄,而以交錯方式結合偶序號的和奇序號的來得到還原結果r 0,r 1,r 2...,r N -1。更具體地,還原結果的產生方式為:先採中屬於子載波fd,0的成份=r0,再採中屬於子載波fd,1的成份=r1,然後採中屬於子載波fd,2的成份=r2,再採中屬於子載波fd,3的成份=r3...。due to , , , Will decrement as | ε R1 - ε R2 | becomes larger, so it is intended to be discarded with And interleaved with even serial numbers Odd number The reduction results r 0 , r 1 , r 2 ..., r N -1 are obtained . More specifically, the reduction result is generated by: Among the components belonging to the subcarrier f d,0 = r 0 Among the components belonging to the subcarrier f d,1 = r 1 , and then Among the components belonging to the subcarrier f d, 2 = r 2 The component belonging to the subcarrier f d,3 = r 3 ....

最後,再從每一子載波fd,k的多個可能解調符元ζ i 中,找出哪一個解調符元經過SFBC編碼和該等通道信號的處理後會最接近還原結果r k Finally, from the plurality of possible demodulation symbols ζ i of each subcarrier f d,k , it is found which demodulation symbol is closest to the restoration result r k after being processed by SFBC coding and the channel signals. .

如熟悉本技藝者所知,OFDM調變中,各子載波可獨立選擇期望的調變模式為QAM(quadrature amplitude modulation,正交調幅)、16QAM或其他。舉例來說,當調變模式選用QAM,那麼可能解調符元有四,分別為ζ0=”00”、ζ1=”01”、ζ2=”10”、ζ3=”11”。As is known to those skilled in the art, in OFDM modulation, each subcarrier can independently select a desired modulation mode as QAM (quadrature amplitude modulation), 16QAM or the like. For example, when QAM is selected for the modulation mode, there may be four demodulation symbols, namely ζ 0 = "00", ζ 1 = "01", ζ 2 = "10", ζ 3 = "11".

較佳地,選出讓干擾指標∥∥最小的解調符元ζ i 。這裡的是指(|HR1|2+|HR2|2)的第k個對角線元素;當k為偶數,是指()的第(k+2)/2個對角線元素,當k為奇數,是指-()的第(k+1)/2個對角線元素。Preferably, the interference indicator is selected ∥ ∥ The smallest demodulation symbol ζ i . here Is the kth diagonal element of (|H R1 | 2 +|H R2 | 2 ); when k is even, Refers to( (k+2)/2 diagonal elements, when k is an odd number, Refers to-( The (k+1)/2 diagonal elements of ).

不過,僅以組合出還原結果r 0,r 1,r 2...,r N -1,而忽略,所以解調符元仍有改善的空間。因此,更執行干擾重建,使式(3)的頻域信號扣除重建出的干擾,然後再進行SFBC解碼。如此,重複干擾重建以更新SFBC還原結果,直到為每一解調子載波找出的解調符元ζ i 已連續P次相同,接收裝置UE才輸出所有解調子載波的解調符元ζ i ,P>一特定門檻。However, only with Combine the reduction results r 0 , r 1 , r 2 ..., r N -1 and ignore with Therefore, the demodulation symbol still has room for improvement. Therefore, the interference reconstruction is further performed, and the frequency domain signal of the equation (3) is subtracted from the reconstructed interference, and then the SFBC decoding is performed. In this way, the interference reconstruction is repeated to update the SFBC restoration result until the demodulation symbol ζ i found for each demodulation subcarrier has been the same P times consecutively, and the receiving device UE outputs the demodulation symbols ζ i of all the demodulation subcarriers, P> A specific threshold.

以下說明干擾重建。假設第(t-1)次干擾重建所使用的第k個解調子載波的解調符元ζ i 標示為,t1。使解調子載波fd,0~fd,(N-1)的解調符元兩兩配對而形成一第一優化向量和一第二優化向量 。並且,根據這兩個優化向量求出一補償信號,顯示此二向量經過SFBC編碼和該等通道信號處理後第k個調變子載波受其他子載波的干擾,如式(9)。其中,H R 1, m 是第一通道信號中屬於第m個第一子載波的成份,H R 2, m 是第二通道信號中屬於第m個第二子載波的成份。The following describes the interference reconstruction. It is assumed that the demodulation symbol ζ i of the kth demodulation subcarrier used in the (t-1)th interference reconstruction is marked as ,t 1. Demodulation symbols for demodulating subcarriers f d,0 ~f d,(N-1) Pairwise pairing to form a first optimization vector And a second optimization vector . And, obtaining a compensation signal according to the two optimization vectors It is shown that the second vector is subjected to SFBC coding and the k-th modulated subcarriers are interfered by other subcarriers, as in equation (9). Wherein, H R 1, m is a component of the first channel signal belonging to the mth first subcarrier, and H R 2, m is a component of the second channel signal belonging to the mth second subcarrier.

接著,使目前頻域信號分別扣除補償信號,而調整出下一次賴以進行SFBC解碼的頻域信號,如式(10)。其中,是指經由時域至頻域轉換所得出的第一頻域信號YR1中屬於第k個解調子載波的成份,是指經由時域至頻域轉換所得出的第一頻域信號YR2中屬於第k個解調子載波的成份。Next, make the current frequency domain signal with Deducting the compensation signal And adjust the frequency domain signal for the next SFBC decoding with , as in formula (10). among them, Refers to the component of the kth demodulation subcarrier in the first frequency domain signal Y R1 obtained by the time domain to frequency domain conversion. It refers to a component belonging to the kth demodulation subcarrier in the first frequency domain signal Y R2 obtained through time domain to frequency domain conversion.

因此,每一次調整出的頻域信號會排除一些其他子載波的干擾,而使得解調符元逐漸收斂而有更高可信度,達到在「不同傳送裝置與接收裝置存在不同調變頻率差」的情況下進一步改善錯誤底線(error floor)的目的。Therefore, each time the adjusted frequency domain signal excludes the interference of some other subcarriers, so that the demodulation symbols gradually converge and have higher reliability, so that there are different modulation frequency differences between different transmitting devices and receiving devices. In the case of the case, the purpose of the error floor is further improved.

較佳實施例Preferred embodiment

參閱圖3,在前述理論基礎下,本發明用以SFBC解碼的接收裝置100之較佳實施例適用於無線接取各具有一天線(圖未示)的一第一傳送裝置R1和一第二傳送裝置R2,這兩個傳送裝置R1、R2送出的信號可結合形成一個SFBC編碼信號,且在經過通道傳遞後會在接收裝置100處形成一輸入信號。其中,傳送裝置R1、R2和接收裝置100可以是中繼站、基地台、手機,或是其他具有傳收功能的設備。Referring to FIG. 3, based on the foregoing theory, the preferred embodiment of the receiving apparatus 100 for SFBC decoding of the present invention is suitable for wirelessly accessing a first transmitting apparatus R1 and a second each having an antenna (not shown). The transmitting device R2, the signals sent by the two transmitting devices R1, R2 can be combined to form an SFBC encoded signal, and an input signal is formed at the receiving device 100 after passing through the channel. The transmitting devices R1, R2 and the receiving device 100 may be relay stations, base stations, mobile phones, or other devices having a transmitting function.

接收裝置100包含依序電連接的一頻率同步器1、一時頻轉換器2、一解碼器3和一判別器4,且包含一個跨接於判別器4和時頻轉換器2間的干擾重建器5。並且,接收裝置100更包含分別電連接前述元件的一參數處理器6和一通道評估器7。The receiving device 100 includes a frequency synchronizer 1, a time-frequency converter 2, a decoder 3 and a discriminator 4 electrically connected in sequence, and includes an interference reconstruction spanning between the discriminator 4 and the time-frequency converter 2. Device 5. Moreover, the receiving device 100 further includes a parameter processor 6 and a channel evaluator 7 that electrically connect the aforementioned components, respectively.

更詳細地,頻率同步器1包括一第一同步單元11和一第二同步單元12,時頻轉換器2包括一第一轉換單元21、一第二轉換單元22和一調整單元23,且解碼器3包括一第一還原單元31、一第二還原單元32和一合成單元33。In more detail, the frequency synchronizer 1 includes a first synchronization unit 11 and a second synchronization unit 12. The time-frequency converter 2 includes a first conversion unit 21, a second conversion unit 22, and an adjustment unit 23, and is decoded. The device 3 includes a first reduction unit 31, a second reduction unit 32, and a synthesis unit 33.

參閱圖4和圖5,接收裝置100所執行的本發明用以SFBC解碼的接收方法之較佳實施例包含以下步驟:步驟81:通道評估器7分析輸入信號y(n)而得到一個表示第一傳送裝置R1和接收裝置100間通道特性的第一通道信號HR1,並得到一個表示第二傳送裝置R2和接收裝置100間通道特性的第二通道信號HR2Referring to FIG. 4 and FIG. 5, a preferred embodiment of the receiving method for SFBC decoding of the present invention performed by the receiving apparatus 100 includes the following steps: Step 81: The channel evaluator 7 analyzes the input signal y(n) to obtain a representation A first channel signal H R1 of a channel characteristic between the transmitting device R1 and the receiving device 100, and a second channel signal H R2 indicating a channel characteristic between the second transmitting device R2 and the receiving device 100 is obtained.

步驟82:參數處理器6與各傳送裝置R1、R2進行交握(handshaking),得知每一子載波f α , k 使用的調變模式,並得知第一子載波頻率與第二子載波頻率。Step 82: The parameter processor 6 handshaking with each of the transmitting devices R1 and R2, knows the modulation mode used by each subcarrier f α , k , and knows the first subcarrier frequency and the second subcarrier. frequency.

請注意,這兩個傳送裝置R1、R2會在對應子載波f α , k 使用相同的調變模式,例如:QAM、16QAM或其他。Note that this two transport means R1, R2 use the same modulation pattern corresponding subcarrier f α, k, for example: QAM, 16QAM or the like.

步驟83:參數處理器6基於該等子載波f α , k f d , k 頻率,計算出一第一同步因子ε R1和一第二同步因子ε R2Step 83: The parameter processor 6 calculates a first synchronization factor ε R1 and a second synchronization factor ε R2 based on the frequencies of the subcarriers f α , k , f d , k .

詳細計算方式為:比較第一子載波f R 1, k 頻率和對應解調子載波f d , k 頻率得到一第一頻率差異,並使第一頻率差異除以相鄰解調子載波f d , k 間距而得到第一同步因子ε R1。第二同步因子ε R2可以類似方式求出,不再多做說明。The detailed calculation method is: comparing the first subcarrier f R 1, k frequency and the corresponding demodulation subcarrier f d , k frequency to obtain a first frequency difference, and dividing the first frequency difference by the adjacent demodulation subcarrier f d , k The first synchronization factor ε R1 is obtained by the spacing. The second synchronization factor ε R2 can be found in a similar manner and will not be explained any more.

步驟84:參數處理器6基於式(4),計算出反應第k個解調子載波受第m個第一子載波干擾的干擾係數,並計算出反應第k個解調子載波受第m個第二子載波干擾的干擾係數Step 84: The parameter processor 6 calculates an interference coefficient of the kth first subcarrier interference by the kth demodulation subcarrier based on the equation (4). And calculating the interference coefficient of the kth demodulation subcarrier interfered by the mth second subcarrier .

步驟85:第一同步單元11使用第一同步因子ε R1來調整輸入信號y(n)的相位而得到一第一同步信號;第二同步單元12使用第二同步因子ε R2來調整輸入信號y(n)的相位而得到一第二同步信號。Step 85: The first synchronization unit 11 uses the first synchronization factor ε R1 to adjust the phase of the input signal y(n) to obtain a first synchronization signal; the second synchronization unit 12 uses the second synchronization factor ε R2 to adjust the input signal y. A phase of (n) results in a second synchronization signal.

其調整方式是使輸入信號y(n)乘上對應的exp(-j2πε α n/N)。This is adjusted by multiplying the input signal y(n) by the corresponding exp(- j 2 πε α n /N).

步驟86:第一轉換單元21利用該等解調子載波f d , k 進行傅立葉轉換,將第一同步信號從時域轉成頻域而得到第一頻域信號YR1;第二轉換單元22利用該等解調子載波f d , k 進行傅立葉轉換,將第二同步信號從時域轉成頻域而得到第二頻域信號YR2Step 86: The first conversion unit 21 performs Fourier transform on the demodulation subcarriers f d , k , and converts the first synchronization signal from the time domain to the frequency domain to obtain the first frequency domain signal Y R1 ; the second conversion unit 22 utilizes The demodulation subcarriers f d , k are Fourier transformed, and the second synchronization signal is converted from the time domain to the frequency domain to obtain a second frequency domain signal Y R2 .

步驟87:第一還原單元31接收第一頻域信號YR1中屬於偶子載波的成份,並接收第二頻域信號YR2中屬於奇子載波的成份,而基於式(11)進行SFBC解碼得到第一還原信號Step 87: The first restoration unit 31 receives the components belonging to the even subcarriers in the first frequency domain signal Y R1 , and receives the components belonging to the odd subcarriers in the second frequency domain signal Y R2 , and performs SFBC decoding based on the equation (11). Obtaining the first reduction signal .

另一方面,第二還原單元32接收第一頻域信號YR1中屬於奇子載波的成份,並接收第二頻域信號YR2中屬於偶子載波的成份,而基於式(12)進行SFBC解碼得到第二還原信號On the other hand, the second restoration unit 32 receives the components belonging to the odd subcarriers in the first frequency domain signal Y R1 and receives the components belonging to the even subcarriers in the second frequency domain signal Y R2 , and performs SFBC based on the equation (12). Decoding to obtain the second restored signal .

步驟88:合成單元33以交錯方式合併第一還原信號和第二還原信號,來產生還原結果r 0,r 1,r 2...,r N -1Step 88: The synthesizing unit 33 merges the first restored signals in an interleaved manner And second reduction signal To produce reduction results r 0 , r 1 , r 2 ..., r N -1 .

步驟89:判別器4為每一解調子載波fd,k,從所有可能解調符元中找出哪一個符元ζ i 能讓干擾指標∥∥最小,k=0~(N-1)。Step 89: The discriminator 4 finds , for each demodulation subcarrier f d, k , which symbol ζ i from all possible demodulation symbols can cause the interference indicator ∥ ∥minimum, k=0~(N-1).

步驟90:判別器4檢視是否為每一解調子載波fd,k找出的解調符元ζ i 都已經連續P次相同。若是,送出所有解調子載波fd,k的符元ζ i 給後級電路600;若否,繼續步驟91。Step 90: The discriminator 4 checks whether the demodulated symbols ζ i found for each demodulation subcarrier f d, k have been consecutive P times the same. If so, the symbols ζ i of all demodulation subcarriers f d,k are sent to the subsequent stage circuit 600; if not, proceed to step 91.

步驟91:干擾重建器5使這N個符元兩兩配對而形成一第一優化向量和一第二優化向量,並基於式(9)利用這兩個向量求出一補償信號Step 91: The interference reconstructor 5 makes the N symbols Pairwise pairing to form a first optimization vector And a second optimization vector And using the two vectors to find a compensation signal based on equation (9) .

步驟92:調整單元23基於式(10)使目前頻域信號各扣除補償信號,而調整出第一頻域信號和第二頻域信號。接著,跳回步驟87,以調整後的頻域信號進行SFBC解碼。Step 92: The adjusting unit 23 makes the current frequency domain signal based on the formula (10). with Deduction compensation signal And adjusting the first frequency domain signal And second frequency domain signal . Then, the process returns to step 87 to perform SFBC decoding with the adjusted frequency domain signal.

模擬結果Simulation result

圖6顯示了採用本例和Sang於2010年所提方法的位元錯誤率模擬。可觀察出:當ε R1=0.3且ε R2=-0.3,本例的位元錯誤率明顯優於Sang法。又,隨著|ε R1-ε R2|增加,Sang法的位元錯誤率急遽上升,而本例上升幅度較緩和。Figure 6 shows the bit error rate simulation using this example and the method proposed by Sang in 2010. It can be observed that when ε R1 = 0.3 and ε R2 = -0.3, the bit error rate of this example is significantly better than the Sang method. Also, as | ε R1 - ε R2 | increases, the bit error rate of the Sang method rises sharply, and the increase in this case is moderate.

值得注意的是,雖然本例是說明傳送裝置R1、R2各具有單一個天線,但是本發明領域具有通常知識者可藉由前述說明輕易推廣至傳送裝置R1、R2各具有多個天線的情況。It should be noted that although this example illustrates that the transmitting devices R1, R2 each have a single antenna, those skilled in the art can easily generalize to the case where the transmitting devices R1, R2 each have multiple antennas by the foregoing description.

綜上所述,前述較佳實施例中,接收裝置100以解碼器3基於式(6)進行較精確的SFBC解碼,且更以干擾重建器5優化頻域信號,而可以在|ε R1-ε R2|相差頗大時仍有不錯的位元錯誤率表現,故確實能達成本發明之目的。In summary, in the foregoing preferred embodiment, the receiving apparatus 100 performs more accurate SFBC decoding based on the equation (6) by the decoder 3, and optimizes the frequency domain signal by the interference reconstructor 5, and may be at | ε R1 - ε R2 | There is still a good bit error rate performance when the difference is quite large, so the purpose of the present invention can be achieved.

惟以上所述者,僅為本發明之較佳實施例而已,當不能以此限定本發明實施之範圍,即大凡依本發明申請專利範圍及發明說明內容所作之簡單的等效變化與修飾,皆仍屬本發明專利涵蓋之範圍內。The above is only the preferred embodiment of the present invention, and the scope of the invention is not limited thereto, that is, the simple equivalent changes and modifications made by the scope of the invention and the description of the invention are All remain within the scope of the invention patent.

100...接收裝置100. . . Receiving device

600...後級電路600. . . Rear stage circuit

1...頻率同步器1. . . Frequency synchronizer

11...第一同步單元11. . . First synchronization unit

12...第二同步單元12. . . Second synchronization unit

2...時頻轉換器2. . . Time-frequency converter

21...第一轉換單元twenty one. . . First conversion unit

22...第二轉換單元twenty two. . . Second conversion unit

23...調整單元twenty three. . . Adjustment unit

3...解碼器3. . . decoder

31...第一還原單元31. . . First reduction unit

32...第二還原單元32. . . Second reduction unit

33...合成單元33. . . Synthetic unit

4...判別器4. . . Discriminator

5...干擾重建器5. . . Interference reconstructor

6...參數處理器6. . . Parameter processor

7...通道評估器7. . . Channel evaluator

R1...第一傳送裝置R1. . . First conveyor

R2...第二傳送裝置R2. . . Second conveyor

UE...接收裝置UE. . . Receiving device

81~92...步驟81~92. . . step

圖1是一方塊圖,說明合作式通訊系統;Figure 1 is a block diagram illustrating a cooperative communication system;

圖2是一示意圖,說明傳送裝置的符元配置;Figure 2 is a schematic diagram showing the symbol configuration of the transmitting device;

圖3是一方塊圖,說明接收裝置的較佳實施例;Figure 3 is a block diagram showing a preferred embodiment of the receiving device;

圖4~5是流程圖,說明接收方法的較佳實施例;及4 to 5 are flowcharts illustrating a preferred embodiment of a receiving method; and

圖6是一模擬圖,說明本例和Sang法的位元錯誤率。Fig. 6 is a simulation diagram showing the bit error rate of this example and the Sang method.

100...接收裝置100. . . Receiving device

600...後級電路600. . . Rear stage circuit

1...頻率同步器1. . . Frequency synchronizer

11...第一同步單元11. . . First synchronization unit

12...第二同步單元12. . . Second synchronization unit

2...時頻轉換器2. . . Time-frequency converter

21...第一轉換單元twenty one. . . First conversion unit

22...第二轉換單元twenty two. . . Second conversion unit

23...調整單元twenty three. . . Adjustment unit

3...解碼器3. . . decoder

31...第一還原單元31. . . First reduction unit

32...第二還原單元32. . . Second reduction unit

33...合成單元33. . . Synthetic unit

4...判別器4. . . Discriminator

5...干擾重建器5. . . Interference reconstructor

6...參數處理器6. . . Parameter processor

7...通道評估器7. . . Channel evaluator

R1...第一傳送裝置R1. . . First conveyor

R2...第二傳送裝置R2. . . Second conveyor

Claims (10)

一種用以空間頻率塊狀碼(Space Frequency Block Code,SFBC)解碼的接收方法,適用於以N個解調子載波處理一個基於SFBC編碼的輸入信號,該輸入信號包括載有N個分別對應該等解調子載波之第一子載波的一信號,並包括載有N個分別對應該等解調子載波之第二子載波的另一信號,且對應的第一子載波和第二子載波頻率不同,N>1,該接收方法包含以下步驟:(A)藉由一頻率同步器,基於對應的第一子載波和解調子載波的頻率差異調整該輸入信號的相位而得到一第一同步信號,並基於對應的第二子載波和解調子載波的頻率差異調整該輸入信號的相位而得到一第二同步信號;(B)藉由一時頻轉換器,利用該等調變子載波,將該第一同步信號從時域轉成頻域而得到一第一頻域信號,並將該第二同步信號從時域轉成頻域而得到一第二頻域信號;(C)藉由一通道評估器,分析該輸入信號,而得到關於載有該等第一子載波之信號的一第一通道信號,並得到關於載有該等第二子載波之信號的一第二通道信號;(D)藉由一解碼器,對該第一頻域信號和該第二頻域信號進行SFBC解碼得到N個分別對應於該等解調子載波的還原結果;及(E)藉由一判別器,為每一解調子載波,從所有可能解調符元中找出哪一個符元經過SFBC編碼和該等通道信號處理後會最接近對應的還原結果;其中,步驟(D)中,是根據該第一頻域信號中屬於偶子載波的成份與該第二頻域信號中屬於奇子載波的成份解碼得到一第一還原信號,並根據該第一頻域信號中屬於奇子載波的成份與該第二頻域信號中屬於偶子載波的成份解碼得到一第二還原信號,且以該第一還原信號和該第二還原信號組合出該等還原結果,並且該解碼是建立在該第一通道信號以及該第二通道信號的基礎上。A receiving method for spatial frequency block code (SFBC) decoding, which is suitable for processing an input signal based on SFBC coding with N demodulation subcarriers, the input signal including N corresponding correspondences, etc. Demodulating a signal of the first subcarrier of the subcarrier, and including another signal carrying N second subcarriers respectively corresponding to the demodulated subcarriers, and corresponding first subcarriers and second subcarriers have different frequencies, N>1, the receiving method includes the following steps: (A) adjusting a phase of the input signal based on a frequency difference between the corresponding first subcarrier and the demodulation subcarrier by a frequency synchronizer to obtain a first synchronization signal, and based on Adjusting a phase of the input signal by adjusting a frequency difference between the corresponding second subcarrier and the demodulation subcarrier to obtain a second synchronization signal; (B) using the modulated subcarrier, the first synchronization signal by using a time-frequency converter Converting from the time domain to the frequency domain to obtain a first frequency domain signal, and converting the second synchronization signal from the time domain to the frequency domain to obtain a second frequency domain signal; (C) analyzing by using a channel evaluator The loss Entering a signal to obtain a first channel signal for signals carrying the first subcarriers, and obtaining a second channel signal for signals carrying the second subcarriers; (D) by decoding Performing SFBC decoding on the first frequency domain signal and the second frequency domain signal to obtain N reduction results respectively corresponding to the demodulation subcarriers; and (E) using a discriminator for each demodulation subcarrier Finding which symbol from all possible demodulation symbols is closest to the corresponding restoration result after SFBC coding and processing of the channel signals; wherein, in step (D), according to the first frequency domain signal The component belonging to the even subcarrier and the component belonging to the odd subcarrier in the second frequency domain signal are decoded to obtain a first restored signal, and according to the component belonging to the odd subcarrier and the second frequency domain signal in the first frequency domain signal The component belonging to the even subcarrier is decoded to obtain a second restoration signal, and the reduction result is combined by the first reduction signal and the second reduction signal, and the decoding is established in the first channel signal and the second Channel signal based 依據申請專利範圍第1項所述之用以SFBC解碼的接收方法,其中,步驟(D)的解碼是基於下式得到該第一還原信號和該第二還原信號 其中,Y R 1 ,e 為該第一頻域信號中屬於偶子載波的成份,Y R 1 ,o 為該第一頻域信號中屬於奇子載波的成份,Y R 2 ,e 為該第二頻域信號中屬於偶子載波的成份,Y R 2 ,o 為該第二頻域信號中屬於奇子載波的成份;且H R 1 ,e 為該第一通道信號中屬於偶子載波的成份,H R 1 ,o 為該第一通道信號中屬於奇子載波的成份,H R 2 , e 為該第二通道信號中屬於偶子載波的成份,H R 2 , o 為該第二通道信號中屬於奇子載波的成份。The receiving method for SFBC decoding according to claim 1, wherein the decoding of the step (D) is based on the following formula: And the second reduction signal , Y R 1 , e is a component belonging to the even subcarrier in the first frequency domain signal, Y R 1 , o is a component belonging to the odd subcarrier in the first frequency domain signal, and Y R 2 , e is the first a component belonging to the even subcarrier in the two-frequency domain signal, Y R 2 , o is a component belonging to the odd subcarrier in the second frequency domain signal; and H R 1 , e is a subcarrier carrier in the first channel signal The component, H R 1 , o is a component of the first channel signal belonging to the odd subcarrier, and H R 2 , e is a component of the second channel signal belonging to the even subcarrier, and H R 2 , o is the second channel The components of the signal that belong to the odd subcarrier. 依據申請專利範圍第1項所述之用以SFBC解碼的接收方法,其中,步驟(A)中,以對應的第一子載波和解調子載波的頻率差之於相鄰解調子載波間距的比例當作一第一同步因子ε R1,以對應的第二子載波和解調子載波的頻率差之於相鄰解調子載波間距的比例當作一第二同步因子ε R2;且使該輸入信號乘上exp(-j2πε R1 n/N)來得到該第一同步信號,並使該輸入信號乘上exp(-j2πε R2 n/N)來得到該第二同步信號。The receiving method for SFBC decoding according to claim 1, wherein in step (A), the frequency difference between the corresponding first subcarrier and the demodulation subcarrier is proportional to the spacing of adjacent demodulation subcarriers. Making a first synchronization factor ε R1 , taking the ratio of the frequency difference between the corresponding second subcarrier and the demodulation subcarrier to the adjacent demodulation subcarrier spacing as a second synchronization factor ε R2 ; and multiplying the input signal by exp (- j 2 πε R1 n /N) to obtain the first synchronization signal, and multiply the input signal by exp(- j 2 πε R2 n /N) to obtain the second synchronization signal. 依據申請專利範圍第1項所述之用以SFBC解碼的接收方法,其中,每一解調子載波對應一種具有多個可能解調符元的調變模式,該接收方法更包含以下步驟:(F)藉由一參數處理器,算出反應該調變子載波fd,k受該第一子載波fR1,m干擾的一干擾係數,並算出反應該調變子載波fd,k受該第二子載波fR2,m干擾的干擾係數,m=0~(N-1),k=0~(N-1);(G)藉由一干擾重建器,利用該等通道信號和每一解調子載波fd,k的干擾係數,而根據每一解調子載波fd,k的找出符元計算出一補償信號;及(H)藉由該時頻轉換器,基於每一解調子載波的補償信號,調整該第一頻域信號中對應解調子載波的成份,並調整該第二頻域信號中對應解調子載波的成份。The receiving method for SFBC decoding according to claim 1, wherein each demodulating subcarrier corresponds to a modulation mode having a plurality of possible demodulation symbols, and the receiving method further comprises the following steps: And calculating, by a parameter processor, an interference coefficient that interferes with the modulated subcarrier f d,k by the first subcarrier f R1,m , and calculates a response to the modulated subcarrier f d,k by the first The interference coefficient of the two subcarriers f R2,m interference, m=0~(N-1), k=0~(N-1); (G) by using an interference reconstructor, using the channel signals and each Demodulating the interference coefficients of the subcarriers f d,k , and calculating a compensation signal according to the symbols of each demodulation subcarrier f d,k ; and (H) by using the time-frequency converter, based on each demodulation And a compensation signal of the carrier, adjusting a component of the corresponding demodulation subcarrier in the first frequency domain signal, and adjusting a component of the corresponding demodulation subcarrier in the second frequency domain signal. 依據申請專利範圍第4項所述之用以SFBC解碼的接收方法,其中,步驟(E)中,為每一解調子載波fd,k找出的符元ζ i 會使的加總最接近還原結果r k ;其中,是指(|HR1|2+|HR2|2)的第k個對角線元素;當k為偶數,是指()的第k/2個對角線元素,當k為奇數,是指-()的第(k-1)/2個對角線元素;而HR1,e是第一通道信號HR1中屬於偶子載波的成份,HR1,o是第一通道信號HR1中屬於奇子載波的成份,HR2,e是第二通道信號HR2中屬於偶子載波的成份,HR1,o是第二通道信號HR2中屬於奇子載波的成份;代表反應第k個解調子載波受第m個第一子載波干擾的干擾係數,代表反應第k個解調子載波受第m個第二子載波干擾的干擾係數,α {R1,R2}, A receiving method for SFBC decoding according to item 4 of the patent application scope, wherein in step (E), the symbol ζ i found for each demodulated subcarrier f d,k with The sum of the closest is closest to the reduction result r k ; Is the kth diagonal element of (|H R1 | 2 +|H R2 | 2 ); when k is even, Refers to( The k/2th diagonal element of the ), when k is an odd number, Refers to-( (k-1)/2 diagonal elements; and H R1,e is a component of the first channel signal H R1 belonging to the even subcarrier, and H R1,o is the first channel signal H R1 is odd The component of the subcarrier, H R2, e is a component of the second channel signal H R2 belonging to the even subcarrier, and H R1,o is a component of the second channel signal H R2 belonging to the odd subcarrier; Representing the interference coefficient of the kth demodulation subcarrier interfered by the mth first subcarrier, Representing the interference coefficient of the kth demodulation subcarrier interfered by the mth second subcarrier, α {R1, R 2}, 依據申請專利範圍第4項所述之用以SFBC解碼的接收方法,更包含一步驟:以步驟(H)調整後的頻域信號重複步驟(D)、(E)、(G)、(H),直到為每一解調子載波找出的符元ζ i 已連續P次相同,便以該找出符元當作解調輸出,P>一特定門檻;其中,步驟(G)中,使該N個解調子載波的第(t-1)次找出的符元兩兩配對而形成一第一優化向量和一第二優化向量 ,t>1;且是利用該第一通道信號中屬於第m個第一子載波的成份H R 1, m ,利用該第二通道信號中屬於第m個第二子載波的成份H R 2, m ,利用反應該解調子載波fd,k受該第一子載波fR1,m干擾的干擾係數,利用反應該解調子載波fd,k受該第二子載波fR2,m干擾的干擾係數,且利用該等優化向量,而根據下式得到該補償信號: The receiving method for SFBC decoding according to item 4 of the patent application scope further includes a step of repeating steps (D), (E), (G), (H) with the frequency domain signal adjusted in step (H). ), until the symbol ζ i found for each demodulation subcarrier has been the same P consecutive times, the truncated symbol is used as the demodulation output, P>a specific threshold; wherein, in step (G), The symbol found by the (t-1)th time of the N demodulation subcarriers Pairwise pairing to form a first optimization vector And a second optimization vector , t>1; and using the component H R 1, m belonging to the mth first subcarrier in the first channel signal , and using the component H R 2 belonging to the mth second subcarrier in the second channel signal , m , using the interference coefficient of the demodulation subcarrier f d,k interfered by the first subcarrier f R1,m Interfering with the interference coefficient of the second subcarrier f R2,m by using the demodulation subcarrier f d,k And using these optimization vectors with And the compensation signal is obtained according to the following formula: 一種用以空間頻率塊狀碼(Space Frequency Block Code,SFBC)解碼的接收裝置,適用於以N個解調子載波處理一個基於SFBC編碼的輸入信號,該輸入信號包括載有N個分別對應該等解調子載波之第一子載波的一信號,並包括載有N個分別對應該等解調子載波之第二子載波的另一信號,且對應的第一子載波和第二子載波頻率不同,N>1,該接收裝置包含:一頻率同步器,基於對應的第一子載波和解調子載波的頻率差異調整該輸入信號的相位而得到一第一同步信號,並基於對應的第二子載波和解調子載波的頻率差異調整該輸入信號的相位而得到一第二同步信號;一時頻轉換器,利用該等調變子載波,將該第一同步信號從時域轉成頻域而得到一第一頻域信號,並將該第二同步信號從時域轉成頻域而得到一第二頻域信號;一通道評估器,分析該輸入信號,而得到關於載有該等第一子載波之信號的一第一通道信號,並得到關於載有該等第二子載波之信號的一第二通道信號;一解碼器,基於該第一通道信號,對該第一頻域信號和該第二頻域信號進行SFBC解碼得到N個分別對應於該等解調子載波的還原結果r k ,k=0~(N-1);一判別器,為每一解調子載波fd,k,從所有可能解調符元中找出哪一個符元經過SFBC編碼和該等通道信號處理後會最接近該還原結果r k ;及一干擾重建器,利用該等通道信號和反應每一解調子載波fd,k分別受該等第一子載波和該等第二子載波干擾的多個干擾係數,而根據每一解調子載波fd,k的找出符元計算出一補償信號;其中,該時頻轉換器會使用每一解調子載波fd,k的補償信號來調整該等頻域信號中對應解調子載波的成份,並提供調整後的頻域信號做為該解碼器下一次的解碼依據。A receiving apparatus for spatial frequency block code (SFBC) decoding, which is adapted to process an SFBC-encoded input signal by using N demodulation subcarriers, the input signal comprising N corresponding pairs, etc. Demodulating a signal of the first subcarrier of the subcarrier, and including another signal carrying N second subcarriers respectively corresponding to the demodulated subcarriers, and corresponding first subcarriers and second subcarriers have different frequencies, N>1, the receiving device includes: a frequency synchronizer, adjusting a phase of the input signal based on a frequency difference between the corresponding first subcarrier and the demodulation subcarrier to obtain a first synchronization signal, and based on the corresponding second subcarrier and solution Adjusting the phase of the input signal to adjust a phase of the input signal to obtain a second synchronization signal; a time-frequency converter, using the modulated subcarriers, converting the first synchronization signal from a time domain to a frequency domain to obtain a first a frequency domain signal, and converting the second synchronization signal from the time domain to the frequency domain to obtain a second frequency domain signal; a channel evaluator analyzing the input signal to obtain information about the carrier a first channel signal of the signal of the first subcarrier, and a second channel signal for the signal carrying the second subcarrier; a decoder for the first frequency domain based on the first channel signal Performing SFBC decoding on the signal and the second frequency domain signal to obtain N reduction results r k corresponding to the demodulation subcarriers, k=0~(N-1); a discriminator for each demodulation subcarrier f d , k , find out from all possible demodulation symbols which symbol is SFBC encoded and processed by the channel signals to be closest to the reduction result r k ; and an interference reconstructor that utilizes the channel signals and responses A demodulation subcarrier f d,k is respectively interfered with by the first subcarrier and the second subcarrier, and a compensation is calculated according to the symbol of each demodulation subcarrier f d,k a signal; wherein the time-frequency converter uses a compensation signal of each demodulation subcarrier f d, k to adjust a component of a corresponding demodulation subcarrier in the frequency domain signal, and provides an adjusted frequency domain signal as the decoding The next decoding basis. 依據申請專利範圍第7項所述之用以SFBC解碼的接收裝置,其中,該判別器為每一解調子載波fd,k找出的符元ζ i 會使的加總最接近還原結果r k ;其中,是指(|HR1|2+|HR2|2)的第k個對角線元素;當k為偶數,是指()的第k/2個對角線元素,當k為奇數,是指-()的第(k-1)/2個對角線元素;而HR1,e是第一通道信號HR1中屬於偶子載波的成份,HR1,o是第一通道信號HR1中屬於奇子載波的成份,HR2,e是第二通道信號HR2中屬於偶子載波的成份,HR1,o是第二通道信號HR2中屬於奇子載波的成份;而代表反應第k個解調子載波受第m個第一子載波干擾的干擾係數,代表反應第k個解調子載波受第m個第二子載波干擾的干擾係數,α {R1,R2},m=0~(N-1), The receiving apparatus for SFBC decoding according to item 7 of the patent application scope, wherein the discriminator i finds the symbol ζ i for each demodulation subcarrier f d,k with The sum of the closest is closest to the reduction result r k ; Is the kth diagonal element of (|H R1 | 2 +|H R2 | 2 ); when k is even, Refers to( The k/2th diagonal element of the ), when k is an odd number, Refers to-( (k-1)/2 diagonal elements; and H R1,e is a component of the first channel signal H R1 belonging to the even subcarrier, and H R1,o is the first channel signal H R1 is odd The component of the subcarrier, H R2,e is the component of the second channel signal H R2 belonging to the even subcarrier, and H R1,o is the component of the second channel signal H R2 belonging to the odd subcarrier; Representing the interference coefficient of the kth demodulation subcarrier interfered by the mth first subcarrier, Representing the interference coefficient of the kth demodulation subcarrier interfered by the mth second subcarrier, α {R1, R 2}, m=0~(N-1), 依據申請專利範圍第7項所述之用以SFBC解碼的接收裝置,其中:該干擾重建器使該N個解調子載波的找出符元兩兩配對而形成一第一優化向量和一第二優化向量 ,t>1;且該干擾重建器為各解調子載波fd,k計算對應補償信號,是根據下式利用該第一通道信號中屬於第m個第一子載波的成份H R 1, m ,利用該第二通道信號中屬於第m個第二子載波的成份H R 2, m ,利用反應該解調子載波fd,k受該第一子載波fR1,m干擾的干擾係數,利用反應該解調子載波fd,k受該第二子載波fR2,m干擾的干擾係數,且利用該等優化向量而得到: The receiving apparatus for SFBC decoding according to claim 7, wherein: the interference reconstructor finds the symbols of the N demodulation subcarriers Pairwise pairing to form a first optimization vector And a second optimization vector , t>1; and the interference reconstructor calculates a corresponding compensation signal for each demodulation subcarrier f d,k The component H R 1, m belonging to the mth first subcarrier in the first channel signal is used according to the following formula , and the component H R 2, m belonging to the mth second subcarrier in the second channel signal is utilized . Interfering with the interference coefficient of the first subcarrier f R1,m by using the demodulation subcarrier f d,k Interfering with the interference coefficient of the second subcarrier f R2,m by using the demodulation subcarrier f d,k And using these optimization vectors with And get: 依據申請專利範圍第9項所述之用以SFBC解碼的接收裝置,更包含:一參數處理器,用以產生一第一同步因子和一第二同步因子,且根據該第一同步因子求取反應該第k個解調子載波受該第m個第一子載波干擾的干擾係數,並根據該第二同步因子求取反應該第k個解調子載波受該第m個第二子載波干擾的干擾係數;其中,該參數處理器是以對應的第一子載波和解調子載波的頻率差之於相鄰解調子載波間距的比例當作該第一同步因子ε R1,以對應的第二子載波和解調子載波的頻率差之於相鄰解調子載波間距的比例當作該第二同步因子ε R2;且該參數處理器是基於下式求取反應該第k個解調子載波受該第m個第一子載波干擾的干擾係數,並求取反應該第k個解調子載波受該第m個第二子載波干擾的干擾係數 The receiving device for SFBC decoding according to claim 9 further includes: a parameter processor, configured to generate a first synchronization factor and a second synchronization factor, and obtain the first synchronization factor according to the first synchronization factor Responding to an interference coefficient of the kth demodulation subcarrier interfered by the mth first subcarrier, and determining, according to the second synchronization factor, that the kth demodulation subcarrier is interfered by the mth second subcarrier Interference coefficient; wherein the parameter processor is configured to use the ratio of the frequency difference of the corresponding first subcarrier and the demodulation subcarrier to the adjacent demodulation subcarrier spacing as the first synchronization factor ε R1 to the corresponding second subcarrier And the ratio of the frequency difference of the demodulation subcarrier to the adjacent demodulation subcarrier spacing is regarded as the second synchronization factor ε R2 ; and the parameter processor is determined according to the following equation: the kth demodulation subcarrier is subjected to the mth Interference coefficient of the first subcarrier interference And determining an interference coefficient that the kth demodulation subcarrier is interfered by the mth second subcarrier ,
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