TW201014235A - Multiple-input multiple-output detection method and detector - Google Patents
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201014235 九、發明說明: 【發明所屬之技術領域】 '本發明是有關於一種偵測器及其偵測方法,特別是指 一種多輸入多輸出偵測器及其偵測方法。 【先前技術】 多輸入多輸出(multiple-input multiple-output ’ ΜΙΜΟ )技術已廣泛地納入各種無線通訊標準,以提高頻譜效率 . 。在多輸入多輸出系統中,傳送端將資料切割成多數字元 ® 流(symbol stream ),並利用多數天線在相同時間及相同頻 段分別將這些字元流傳送出去;接收端利用多數天線接收 這些字元流的加總,並將這些字元流分開,以得到傳送端 原先所傳送的字元。目前公認基於最大概似偵測(maximum likelihood detection,MLD)的接收端具有最佳效能(即錯 誤率最低),但其計算複雜度卻非常高。2002年Kim等人 提出結合QR分解(QR decomposition,QRD )及Μ演算法 (M algorithm)的偵測技術(以下稱為QRD-M偵測),可 以透過樹狀搜尋(tree search ),找出最大概似的近似解, 在降低計算複雜度的同時,仍然保有最大概似偵測的最佳 效能。 - I.信號模型 r 在一具有Μ個傳送天線及Μ個接收天線的多輸入多輸 出系統中,假設傳送天線及接收天線之間的通遠是一平坦 衰減通道(flat fading channel ),則傳送天線所傳送的字元 及接收天線所收到的信號之間的關係可表示為: 201014235201014235 IX. Description of the invention: [Technical field of the invention] The present invention relates to a detector and a detection method thereof, and more particularly to a multi-input multi-output detector and a detection method thereof. [Prior Art] Multiple-input multiple-output (技术) technology has been widely incorporated into various wireless communication standards to improve spectral efficiency. In a MIMO system, the transmitter cuts the data into a multi-symbol stream, and uses a plurality of antennas to transmit the stream at the same time and in the same frequency band; the receiving end receives these by using most antennas. The sum of the stream of characters is separated and the streams are separated to obtain the characters originally transmitted by the transmitting end. It is currently accepted that the receiver based on the most likely panoramic detection (MLD) has the best performance (ie, the lowest error rate), but its computational complexity is very high. In 2002, Kim et al. proposed a combination of QR decomposition (QRD) and M algorithm detection techniques (hereinafter referred to as QRD-M detection), which can be found through tree search. The most approximate approximation solution, while reducing the computational complexity, still retains the best performance that is most likely to be detected. - I. Signal Model r In a MIMO system with one transmit antenna and one receive antenna, it is assumed that the far-reaching between the transmit and receive antennas is a flat fading channel. The relationship between the characters transmitted by the antenna and the signals received by the receiving antenna can be expressed as: 201014235
少2 h2XLess 2 h2X
klN, ' • V '«1 " ^2N, • + »2 hNrN, _ • XNt _ Jhr_ 式⑴ 或簡寫為y=Hx+n,其中,x是一傳送字元向量,~是 第7個傳送天線所傳送的字元,且為一星座圖( constellation)上的某個星座點;y是一接收信號向量,妁是 第《·個接收天線所收到的信號;Η是一通道矩陣,是第y 個傳送天線和第/個接收天線之間的通道響應,且可假設為❿ 獨立且相同分佈(independent and identically distributed) ' 的複數高斯隨機變數(complex Gaussian rand〇m variable), 八平均值為0,變異數為1;n是一雜訊矩陣,〜是第/個 接收天線所收到的雜訊’且可假設為獨立且相同分佈的複 數高斯隨機變數,其平均值為〇,變異數為 II.QR分解 Λ 藉由QR分解’通谨拓陵η ήγ主-从 艰迢矩陣Η可表不為H=QR,其中,Q 大小為NrxNt且具有正交行的單—矩陣㈤_⑽k )(滿足Q Q=i,上標、示共扼複數轉置 β 小為NtxNt且對角元素為實數的上三角矩降。將單一矩陣的 共輛複數轉置矩陣Q"乘以接收信號向量y可得—經處理的 — — — ,或詳述為: β ^ ' 2Γ. f «- — ❿ Z2 z3 11 r'2 Ί3 0 ^ 0 〇 ^33 :i : 0 〇 oklN, ' • V '«1 " ^2N, • + »2 hNrN, _ • XNt _ Jhr_ Equation (1) or abbreviated as y=Hx+n, where x is a transfer character vector, ~ is the 7th The character transmitted by the transmitting antenna is a constellation point on a constellation; y is a received signal vector, 妁 is the signal received by the receiving antenna; Η is a channel matrix, Is the channel response between the yth transmit antenna and the /receive antenna, and can be assumed to be independent and identically distributed 'complex Gaussian rand〇m variable', eight averaging The value is 0, the variogram is 1; n is a noise matrix, ~ is the noise received by the / receiving antenna and can be assumed to be independent and identically distributed complex Gaussian random variables, the average of which is 〇, The number of variograms is II.QR decomposition 藉 by QR decomposition 'Tongzhi Tuo Ling η ή γ main-from the hard matrix Η can not be H = QR, where Q size is NrxNt and has orthogonal rows of single-matrix ) (satisfying QQ=i, superscript, conjugate, complex transposition, β small, NtxNt and diagonal elements The upper triangular moment drop of the real number. The common matrix transposed matrix Q" of a single matrix is multiplied by the received signal vector y - processed - or, or detailed as: β ^ ' 2Γ. f «- — ❿ Z2 z3 11 r'2 Ί3 0 ^ 0 〇^33 :i : 0 〇 o
VriN,riN, rN,Nt_ XX X2 Xl >v2 w3L' 式(2) 6 201014235 其中’ w=Q%,且具有與雜訊向f n相同的機率密度 函數(即w〜CN(G,咖)。因此,最大概似的解可表示為: 、飞,_叫2=,+_叫2,式⑺ 其中,II是歐幾里德距離(Euclidean distance)。據此 可定義-成本函數(eGstfunetiGn): /=1 Ν· 式(4) ΖΝ,-Μ~ m=N「i+i ΠΙ.樹狀圓 參閱圖如果夕輸入多輸出系統所使用的星座圖包括 iq個星座點,則可根據 圖包括 即深度為W的樹狀圖.: 具有糾個階層( 分枝(br_h)到下—階層W第Q階層的樹根延伸Μ條 路徑(㈣重覆延伸的動作=到達下一階層的各個 達第階層㈤,...Λ〇的路"叙,階層。因此,到 益· ’,)的路徑之數目為丨q4',且對於這些路 =的每-個而言,其第7·條(风,丨叫) : 層的分枝代表可能的傳送〜 階 點c。 υ…两至座圖中的第y個星座 到達第/階層的每—條路徑具有!·段 能的傳送字元組k,... X I 且代表一可 條且古Μ货八钍,,〜+ιί。因此,整個樹狀圖總共有|C|M 條具有Μ段刀枝的路徑,每一 元向量X,且此|cf",停g彳、:—可能的傳送字 W 恰好分職表傳送字元向量x的 |c|種可能。例如:目 予7^量x的 天線且使帛BPSK調變的彡* 、—料天線及三接收 ,其中,粗線路徑:!多輸出系統所形成的樹狀圖 代表可能的傳送字元向量 7 201014235 {x3 =-l,x2 =l,x丨=1}。 IV.樹狀搜尋VriN, riN, rN, Nt_ XX X2 Xl > v2 w3L' (2) 6 201014235 where ' w = Q% and has the same probability density function as noise to fn (ie w ~ CN (G, coffee) Therefore, the most approximate solution can be expressed as: , fly, _ call 2 =, + _ call 2, formula (7) where II is the Euclidean distance. According to this, the definition-cost function (eGstfunetiGn) ): /=1 Ν· (4) ΖΝ, -Μ~ m=N "i+i ΠΙ. Tree-shaped circle. If the constellation used in the input multi-output system includes iq constellation points, then The graph includes a tree diagram with a depth of W.: A tree root with a squaring level (branches (br_h) to a lower level - a level of the roots of the Qth level) (4) Actions of repeated extensions = reaching the next level Each of the first level (five), ... Λ〇 & &" 叙, 层. Therefore, the number of paths to 益· ',) is 丨q4', and for each of these roads = 7. Article (wind, howl): The branches of the layer represent the possible transmission ~ the order c. υ... The y-th constellation in the two-to-seat diagram reaches every line of the first/level has! Transfer The tuple k, ... XI and represents a neat and ancient goods gossip, ~ + ιί. Therefore, the entire tree diagram has a total of | C | M with a knives path, each meta-vector X And this |cf", stop g彳,: - possible transfer word W happens to be a sub-table transfer character vector x of the |c| kinds of possibilities. For example: the target 7 ^ quantity x of the antenna and make 帛BPSK modulation彡*, —Material Antenna and Three Receiver, where the thick line path:! The tree diagram formed by the multi-output system represents the possible transfer character vector 7 201014235 {x3 =-l,x2 =l,x丨=1 }. IV. Tree search
在樹狀圖中,對於到達第£•階層(—I 一 ,,化)的任一敗 徑而言’其狀,態(state)冑義為此路徑所代表的傳送字元組 k,·.·,%,,}。對於樹根而言,其第;條(>〇 ,丨叫)疋組 到下一階層的分枝(代表星座圖中的第_/個星座點2 枝長(branch metric,BM)定義為: 刀 BAf = 式(5) 其中和從樹根延伸到下一階層的第y條分枯 關。對於到達帛W階層(卜U) #任—路徑而言,其 =·/條υ=ο,..·,|(:Η) S伸到下一階層的分枝(代表星座圖 的第y個星座點之分枝長定義為:In the tree diagram, for any path that reaches the first level (-I I, hua), its state, state 胄 is the transfer character group k represented by this path, ..,%,,}. For the root of the tree, the branch (>〇, 丨) 疋 group to the next level of the branch (representing the _ / constellation point in the constellation diagram 2 branch length (BM) is defined as: Knife BAf = (5) where the yth branch from the root of the tree to the next level is separated. For the arrival of the 帛W class (Bu U) #任—Path, its =·/条υ=ο, ..,,|(:Η) S extends to the next level of branching (the branch length of the yth constellation point representing the constellation diagram is defined as:
BM -W—% 2 式⑹ ^ 其中,、-i+1和此路徑到達第卜1階層的狀態有關, < π «+1 7和此路徑從第階層延伸到下一階層的第條分 枝有關。一政似 _ 二之路徑長(path metric ’ PM )定義為此路 徑上各分枝之八 刀技長的總和。例如:對於圖1中的粗線路 徑而言,久^ 丨之― 77 枝長依序是 |z3-〜(-l)T、|e2-r23(-l)-r22(l)|2 及 201014235 /=2,·..,^)對應到樹狀圖中到達第ί-l階層的路徑延伸到下 一階層的分枝之分枝長。顯然’任一條具有Μ释分支的路 徑之路徑長為此路徑所代表的傳送字元向量X之成本。因 此’透過樹狀搜尋來找出具有况段分支的路徑中路徑長最 短的一者,即可得到最大概似的解金肌。 V. M演算法 由於上述樹狀搜尋需計算icr條路徑之路徑長,當傳輸 天線的數目Μ及星座圖所包括的星座點之數目|C|增加時, 會使樹狀圖跟著變龐大,進而使所需計算的分支長增加, 這會提高計算複雜度。為了降低計算複雜度,藉由Μ演算 法,在樹狀圖中的第i·階層(卜1,…,#rl ),只保留Μ,·條最 佳路徑(即條路徑長最短的路徑),以各自延伸|C|條分 枝到下一階層,而刪除其餘路徑,以減少所需計算的分支 長。這些保留下來的路徑稱為殘存路徑(survivor path )。 樹狀圖中每一階層的Μ,可根據相對應的通道條件及路徑長 適當地調整(此即所謂的適應性Μ演算法),當通道條件好 時,可以調低从,以降低計算複雜度。 VI. QRD-M演算法之改進 藉由QRD-M演算法,在Μ, #殘存路徑各自延伸|C丨條 分枝到下一階層時,仍需計算风丨0丨條分枝之分枝長,以從 M|C|條路徑中保留Ml+1條最佳路徑。Higuchi等人在IEEE GLOBECOM 2004 第 2480-2486 頁”Adaptive Selection of Surviving Symbol Replica Candidates Based on Maximum Reliability in QRM-MLD for OFCDM ΜΙΜΟ Multiplexing”論 201014235 文中提出-種改進方法,在从條殘存路徑各自延伸瞻分 枝到下—階層時’利用多重象限偵測(multiple qUadrant detect—來對陽分枝排定等級,並據此計算‘條分. 枝之分枝長(對應到构q條路财欲保留下來的从+1條最 佳路徑)’可以減彡QRD_M演算法所需計算的分枝長。缺 而’多重象限债測只適用於棋盤式排列的星座圖,例如: 16-QAM星座圖,因此,此改進方法不適用於使肖财 (M>4)調變的多輸入多輪出系統。BM -W -% 2 Equation (6) ^ where -i+1 is related to the state in which the path reaches the first level, < π «+1 7 and the path from the first level to the next level Branch related. A political _ _ path is defined as the sum of the eight knives of the branches on this path. For example, for the thick line path in Figure 1, the length of the long-term ― 77 branches is |z3-~(-l)T, |e2-r23(-l)-r22(l)|2 and 201014235 /=2,·..,^) corresponds to the branch length of the branch that reaches the ί-l level in the tree diagram and extends to the branch of the next level. Obviously, the path of any path with a release branch is the cost of the transfer character vector X represented by this path. Therefore, through the tree search to find the one with the shortest path length in the path with the conditional branch, the most approximate solution gold muscle can be obtained. The V.M algorithm needs to calculate the path length of the icr path according to the above tree search. When the number of transmission antennas and the number of constellation points included in the constellation diagram increase |C|, the tree diagram becomes larger. This in turn increases the branch length of the required calculations, which increases computational complexity. In order to reduce the computational complexity, by the Μ algorithm, in the i-th hierarchy (b1,...,#rl) in the tree diagram, only the best path of the Μ·· strip is retained (ie, the path with the shortest path length) Branches are branched to the next level with their respective extensions |C|, and the remaining paths are deleted to reduce the branch length required for calculation. These reserved paths are called survivor paths. The Μ of each level in the tree diagram can be adjusted according to the corresponding channel conditions and path length (this is called the adaptive Μ algorithm). When the channel condition is good, the slave can be lowered to reduce the computational complexity. degree. VI. Improvement of QRD-M algorithm by QRD-M algorithm, in the Μ, # residual path each extension | C 分 branch to the next level, still need to calculate the branch length of the wind 丨 0 分 branch To preserve the Ml+1 best path from the M|C| path. Higuchi et al., IEEE GLOBECOM 2004, No. 2480-2486, "Adaptive Selection of Surviving Symbol Replica Candidates Based on Maximum Reliability in QRM-MLD for OFCDM ΜΙΜΟ Multiplexing", 201014235, proposes an improved method, which extends each from the residual path of the strip. When branching to the next-level, use multiple quadrant detection (multiple qUadrant detect - to rank the branches of the sun, and calculate the score according to this. Branch branches are long (corresponding to the structure of the q road to retain the lust The best path from +1) can reduce the branch length required for the QRD_M algorithm. The 'multiple quadrant bond test only applies to checkerboard constellations, for example: 16-QAM constellation, therefore, This improved method does not apply to multi-input multi-round systems that modulate Xiao Cai (M>4).
Nagay麵等人在 IEEE VTC_2〇〇6 触,,Α ρΓ〇ρ〇Μ 〇f ❹ QRM-MLD for Reduced Complexity of MLD to detect ΜΙΜΟ signals in Fading Environment”論文中提出另一種改進方法 ,在Μ,條殘存路徑延伸時,利用象限偵測使各條路徑只延 伸|C|« (<|C|)條分枝到下一階層,並計算从,丨條分枝之 分枝長,以從M,.|C|a條路徑中保留Μ!+ι條最佳路徑,這可 以減少QRD-M演算法所需計算的分枝長。然而,此篇論文 中的|C|a及M,均為固定的常數。如果想要違到接近最大概 似偵測的效能,則必須根據最差的通道條件來決定|cu及从〇 。但據此決定的|C|„及从通常不小。因此,計算複雜度的 降低程度將非常有限。 【發明内容】 因此,本發明之目的即在提供—種多輸入多輸出<貞測 方法,可以與多種調變技術配合,且其計算複雜度低。 - 於是,本發明多輸入多輸出偵測方法包含適用於在一 利用QR分解的多輸入多輸出系統中進行樹狀搜尋,且包含 10 201014235 以下步驟: (A)對於到達一目前階層的每一路徑,進行以下子步驟 (A1)對於該目前階層,根據一經處理的接收信號向量中 相對應的接收信號,計算一經移除前面階層干擾的去干擾 接收信號;及 (A2)對於由一星座圖分割成的一第一目標數目之子集合 中的每-個進行:#出該子集合中距離該去干擾接收信號 最近的一星座點,並從該路徑延伸一代表該星座點的分枝 到下-階層,且計算該分枝的分枝長及—㈣應的路徑之 路徑長。 。而本發明之另一目的即在提供一種多輸入多輸出㈣ 器’可以與多種調變技術配合’且其計算複雜度低。Nagay et al. proposed another improvement method in the IEEE VTC_2〇〇6 touch, ΑρΓ〇ρ〇Μ 〇f ❹ QRM-MLD for Reduced Complexity of MLD to detect ΜΙΜΟ signals in Fading Environment When the surviving path is extended, the quadrant detection is used to cause each path to extend only the |C|« (<|C|) branches to the next level, and calculate the branch length of the branch, from the M, The .|C|a path retains the 路径!+ι best path, which reduces the branch length required for the QRD-M algorithm. However, |C|a and M in this paper are fixed. Constants. If you want to violate the most probable detection performance, you must decide |cu and 〇 according to the worst channel conditions. However, the |C| „ and the stipulations are usually not small. Therefore, the degree of reduction in computational complexity will be very limited. SUMMARY OF THE INVENTION Accordingly, it is an object of the present invention to provide a multi-input multi-output <synthesis method that can be combined with a variety of modulation techniques and that has a low computational complexity. - Thus, the multiple input multiple output detection method of the present invention comprises a tree search for use in a multiple input multiple output system utilizing QR decomposition, and comprising 10 201014235 the following steps: (A) for each of the current classes Path, performing the following sub-step (A1) for the current hierarchy, calculating a de-interfering received signal with the previous layer interference removed according to the corresponding received signal in the processed received signal vector; and (A2) for a constellation diagram Each of the subsets of the first target number divided into: one out of a constellation point in the subset that is closest to the de-interference received signal, and a branch extending from the path representing the constellation point to the next - Level, and calculate the branch length of the branch and - (4) the path length of the path. . Yet another object of the present invention is to provide a MIMO device that can be combined with a variety of modulation techniques and whose computational complexity is low.
於是,本發明多輸入多輸出偵測器適用於在一利用QR 分解的多輸入多輸出系統中進行樹狀搜尋,且包含一通道 估測器、-QR分解單元、—轉換單元及—偵測單元。該通 道估測器根據一接收信號向量進行通道估測,以得到一通 道矩=1¾ QR |解單元對該通道矩陣進行通道分解,以得 到-單-矩陣及—上三角矩陣。該轉換單元根據該單一矩 陣,將該單一矩陣的共軛複數轉置矩陣乘以該接收信號向 量,以得到一經處理的接收信號向量d該偵測單元根據該 上三角矩陣,對於到達-目前階層的每—路徑,進下 動作: 對於該目前階層,根據該經處理的接收信號向量中相 201014235 對應的接收信號’計算一經移除前面階層干擾的去干棱接 收信號;及 對於由一星座圖分割成的一第一目標數目之子集合中 的每-個途仃:找出該子集合中距離該去干擾接收信號最 近的星座點,並從該路徑延伸一代表該星座點的分枝到 下階層计算該分枝的分枝長及一相對應的路徑之路 徑長。 【實施方式】 有關本發明之前述及其他技術内容、特點與功效,在參 以下配合參考圖式之一個較佳實施例的詳細說明中將可 清楚地呈現。 參閱圖2 ’本發明多輸人多輸出㈣器之較佳實施例適 用於在-基於QR分解的多輸入多輸出系統中進行樹狀搜尋 ,且透過Nr個接收天線25接收來自%個傳送天線(圖未 示)的#號,以得到一接收信號向量y。 本實施例多輸入多輸出偵測器包含一通道估測器21、 -QR分解單元22、一轉換單元23及一偵測單元24。通道_ 估測器21根據接收信號向量y進行通道估測,以得到一通 道矩陣Η» QR分解單元22對通道矩陣H進行qr分解’ 二得到一單一矩陣Q及一上三角矩陣R,且H=QRe轉換 單"元23根據單—矩陣Q,將單一矩陣的共耗複數轉置矩陣· Q"乘以接收信號向量y,以得到—經處理的接收信號向量z ’因此’ z=Qwy,或詳述為式⑺。 參閱圖3與圖4,偵測單元24所使用的多輸入多輸出 12 • 1 201014235 偵測方法包含以下步驟: 步驟31疋對於第〇階層,根據相對應的通道條件決定 包括丨C|個星座點之星座@分割成的子集合之—第一目標 數目A ( 14邮丨),且根據第一目標數目&分割星座圖( 詳、田決定方式及分割方式留待整個方法介紹完再說明)。 步驟32疋根據上三角轉R,對於位在第q階層的樹 根進行以下子步驟: 子步驟321是對於在步驟31中分割成的&個子集合中 的每一個進行以下子步驟: 子步驟3211是找出子集合中距離接收信號〜最近的— 星座點詳細尋找方式留待整個方法介紹完再說明)。 子步驟3212是從樹根延伸-代表星座點〇分枝到第 1階層,且計=枝的分枝長及_相對應的路徑(代表一傳 送字元組4:七})之路徑長,計算方式如下所示: 式⑺ ΡΜ^νν')=Βμ(χ^) 〇 ' 式⑻ 步驟33是對於第0階層,根據相對應的通道條件及路 徑長,決定在步驟32中延伸到盆 评至丨第1階層的S條路徑中 留下來的路徑之一第二目標數目从W小保 "步驟34是對於在步驟32令延伸到第ι階層的以条路 徑,保留从條最短路徑而刪除其_路徑。 、 在步㈣及步驟3”,可以利 種適 Μ演算法來決定第三目標數目〃 ^種適應性 此處將不多加說^ 目Μ及保以條最短路徑, 13 201014235 步驟41是設定z.=h 步驟42是對於第M階層 的通道條件決定星座圓分割成的子华二=,根據相對應 (峨柳,且根據第-目標數目^目標數目& 定方式及分割方式留待整個方法介紹完再(詳細決 步驟43是對於到達第 個(代表—傳送字元以-Γ1條路徑中的每一 驟: 字如一七,〜2})進行以下子步 φ 的去干擾接收信號W計算方式如下面階層干擾 ^-<+1 = zn,~m - 广i+2 式(9) 子步驟432是對於在步輝42中分割成的&個子集合令 的每一個進行以下子步驟: ❹ 子步驟4321是找出子集合中距離去干擾接收信號&+】 最近的—星座點‘(詳細尋找方式⑽整財法介紹完 再說明)。 子步驟4322是從路徑延伸—代表星座點^的分枝到 第1·階層(即下—階層)’且計算分枝的分枝長及-相對應 的路徑(代* 一傳送字元組I = 〜)之路 徑長,計算方式如下所示: 撕(%+,)=^广^|2, 式(10) Μ<:~Μ)= ΜΚ:-ί+2)+ΒΜ(χ^+ι) 〇 式(11) 14 201014235 步驟44是對於第M階層’根據相對應的通道條件及 Γ長,決定在㈣43中延”H㈣條路徑 中要保留下來的路徑之第:目標數目从…似风孙 步驟45是對於在步驟43中延伸到第,階層的^條 路徑,保留M,·條最短路徑而刪除其餘路徑。 在步驟44及步驟由 、 中’可以利用現有的各種適應性Therefore, the multiple input multiple output detector of the present invention is suitable for tree search in a multiple input multiple output system using QR decomposition, and includes a channel estimator, a QR decomposition unit, a conversion unit, and a detection unit. The channel estimator performs channel estimation based on a received signal vector to obtain a channel moment = 13⁄4 QR | solution unit performs channel decomposition on the channel matrix to obtain a - single-matrix and an upper triangular matrix. The conversion unit multiplies the conjugate complex transposed matrix of the single matrix by the received signal vector according to the single matrix to obtain a processed received signal vector d. The detecting unit according to the upper triangular matrix, for the arrival-current hierarchy Each path, the next action: for the current class, according to the received signal corresponding to the phase 201014235 in the processed received signal vector, the received signal is removed after removing the previous layer interference; and for a constellation diagram Dividing each of the subsets of the first target number into a subset: finding a constellation point in the subset that is closest to the de-interference received signal, and extending a branch representing the constellation point from the path to the next The hierarchy calculates the branch length of the branch and the path length of a corresponding path. 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. Referring to FIG. 2, a preferred embodiment of the multi-input multi-output (four) device of the present invention is suitable for performing tree search in a QR-based multiple input multiple output system, and receiving from n transmit antennas through Nr receive antennas 25. The # of the figure (not shown) is used to obtain a received signal vector y. The multi-input multi-output detector of the embodiment comprises a channel estimator 21, a QR decomposition unit 22, a conversion unit 23 and a detection unit 24. The channel_estimator 21 performs channel estimation based on the received signal vector y to obtain a channel matrix Η» QR decomposition unit 22 performs qr decomposition on the channel matrix H' to obtain a single matrix Q and an upper triangular matrix R, and H =QRe conversion list " element 23 according to the single-matrix Q, multiply the complex matrix transposed matrix of a single matrix Q " multiplied by the received signal vector y to get - the processed received signal vector z 'so 'z=Qwy Or detailed as formula (7). Referring to FIG. 3 and FIG. 4, the multi-input multi-output 12 used by the detecting unit 24 • 1 201014235 detecting method includes the following steps: Step 31 疋 For the third layer, the 丨 C| constellation is determined according to the corresponding channel condition. The constellation of points @divided into sub-collections - the first target number A (14 postal), and according to the first target number & split constellation diagram (detailed, field decision method and segmentation method are left to be explained after the whole method is introduced) . Step 32: According to the upper triangle to R, the following substeps are performed for the root of the qth level: Substep 321 is to perform the following substeps for each of the & subsets divided in step 31: Substep 3211 is to find the distance received signal in the sub-set ~ the nearest - the constellation point detailed search method is left to be explained after the whole method is introduced). Sub-step 3212 is a path length extending from the root of the tree - representing the constellation point branching to the first level, and counting the branch length of the branch and the corresponding path of the _ (representing a transmission character group 4: seven}) The mode is as follows: Equation (7) ΡΜ^νν')=Βμ(χ^) 〇' Equation (8) Step 33 is for the 0th hierarchy, according to the corresponding channel condition and path length, it is decided to extend to the basin evaluation in step 32.之一 One of the paths left in the S path of the first level is the second target number from W. < Step 34 is for the strip path extending to the 1st level in step 32, leaving the shortest path from the strip Its _ path. In step (4) and step 3", you can use the appropriate algorithm to determine the number of third targets. 适应 适应 适应 此处 此处 此处 ^ ^ ^ ^ ^ ^ ^ 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 .=h Step 42 is to determine the sub-Hua 2 of the constellation circle for the channel condition of the Mth level, according to the corresponding (峨, and according to the number of targets - the number of targets & the method of setting and the way of dividing the entire method After the introduction (detailed step 43 is to de-interfere the received signal W for the following sub-step φ for reaching the first (representative-transfer character with -Γ1 path in each path: word such as one seven, ~2}) The calculation method is as follows: the following level interference ^-<+1 = zn, ~m - wide i+2 Equation (9) Sub-step 432 is for each of the & sub-set commands divided in step hui 42 Step: ❹ Substep 4321 is to find the distance de-interference received signal &+] in the subset: the nearest-constellation point' (detailed search mode (10) after the introduction of the whole financial method). Sub-step 4322 is extended from the path - representative The branch of the constellation points ^ to the 1st class (ie, the lower-level) And calculate the branch length of the branch and the path of the corresponding path (generation * a transfer character group I = ~), the calculation is as follows: tear (% +,) = ^ Guang ^ | 2, formula ( 10) Μ<:~Μ)= ΜΚ:- ί+2)+ΒΜ(χ^+ι) 〇(11) 14 201014235 Step 44 is for the Mth class' based on the corresponding channel conditions and length In (4) 43, the path of the path to be retained in the "H (four) path: the number of targets from ... is like the step 45 is to extend to the first step in step 43, the path of the class, the M, the shortest path is deleted The rest of the path. In step 44 and step, the existing various adaptations can be utilized
Μ决算法來決疋第—目標數目从及保留从條最短路徑,此 處將不多加說明。 步驟46疋判斷ζ是否等於% (即下—階層是否是一最 終階層如果否’跳到步驟47,如果是,跳到步驟私。 步驟47是將/加1 ’並跳到步驟42。 步驟48疋從到達第%階層的似乂條路徑中選取一條最 短路徑’㈣徑所代表的傳送字元組即是_出的傳送字 元向量x = {^,…,'}。 由於在步驟32巾只料算&條分枝之分枝長在步驟 43中只需計算MMW=2,,..,w條分枝之分枝長,因此, 當〜&中的至少一者小於丨C丨時’可以減少qrd_m演算法 所需計算的分枝長。而且及务〜根據通道條件 被適當地調整,在大幅降低計算複雜度的同時,仍達到接 近最大概似偵測的效能。 星座ffi的合剌 在步驟及步驟42 +,是利用溫格柏的集合分割( Ungerboeck’s set partiti〇ning)將星座圖分割成&個子集人 (第一目標數目&必須為2的冪次方)。例如:參閱圖'5: 15 201014235 16-QAM星座圖可以分割成包括十六個星座點的一個子集合 A〇、各包括八個星座點且相斥的二個子集合〜及A、各包 括四個星座點且相斥的四個子集合Cg〜a、各包括二個星座 點且相斥的八個子集合Dq〜D?,或各包括一個星座點且相斥 的十,、個子集合(如圖5中的E^E!5所示);參閱圖6 , 8_ PSK星座圖可以分割成包括八個星座點的一個子集合f〇、 各包括四個星座點且相斥的二個子集合仏及Gi、各包括二 個星座點且相斥的四個子集合Ho〜H3,或各包括一個星座點 且相斥的八個子集合IG〜1? ^溫格柏的集合分割使子集合的參 内距(imraset distance)在所有分割中是最大的,這可以減 少錯誤蔓延(error propagation )。 最近星座點的哀找 在子步驟3211及子步驟4321中,當5,<|C|時(即子集The algorithm is used to determine the number of targets - and the shortest path from the strip, which will not be explained here. Step 46: Determine if ζ is equal to % (ie, whether the next-level is a final level if no 'skip to step 47, if yes, skip to step private. Step 47 is to add /1' and jump to step 42. Step 48选取 Selecting a shortest path from the path to the first-level hierarchy, the transmission character group represented by the '(4) path is the _ outgoing transmission character vector x = {^,...,'}. It is only expected that the branches of the & branch branch only need to calculate the branch length of MMW=2,,..,w branches in step 43, therefore, when at least one of ~& is less than 丨C丨'It can reduce the branch length required for the qrd_m algorithm. And it is adjusted according to the channel conditions, and the computational complexity is greatly reduced, while still achieving the performance closest to the most likely detection. Constellation ffi combination In step and step 42+, the constellation map is segmented into & subsets using the Ungerboeck's set partiti〇ning (the first target number & must be a power of 2). : See Figure '5: 15 201014235 16-QAM constellation map can be divided into packages A sub-set A of sixteen constellation points, two sub-sets each including eight constellation points and repelled, and A, four sub-sets Cg~a each including four constellation points and repulsive, each including two The eight sub-sets Dq~D? that are constellation points and repelled, or ten, each sub-rejected with a constellation point (as shown in E^E!5 in Figure 5); see Figure 6, 8_PSK The constellation diagram can be divided into a sub-set f〇 including eight constellation points, two sub-sets each including four constellation points and repulsive, and Gi, four sub-sets Ho~H3 each including two constellation points and repelling each other. , or eight sub-sets IG~1 each including a constellation point and repelled? ^Wengerberg's set partitioning makes the sub-set distance of the sub-sets the largest among all the partitions, which can reduce the error spread ( Error propagation. The recent singularity of the constellation points is in substep 3211 and substep 4321, when 5, <|C| (ie, subset)
口所包括的星座點之數目大於1),是利用至少一臨界值TH 在子集合中切割出多數分別涵蓋星座點的決策區間,並判 斷接收彳§號、及去干擾接收信號% ^ (以下統稱信號ζ )是 位在哪個決策區間,來找出距離信號ζ最近的星座點〇 〇 參閱圖5,舉一個例子說明。當&=4時,丨6_qam星座 圖可以分割成各包括四個星座點的四個子集合c〇〜C3,如表 1所示: 表1 包括的星座點 子集合The number of constellation points included in the port is greater than 1), and the decision interval of the majority of the constellation points is cut in the subset by using at least one threshold TH, and the receiving 彳§ number and the de-interference receiving signal % ^ (below) The signal ζ is collectively located in which decision interval to find the nearest constellation point of the distance signal 〇〇 see Figure 5, an example is given. When &=4, the 丨6_qam constellation map can be divided into four sub-sets c〇~C3 each including four constellation points, as shown in Table 1: Table 1 Included constellation points Sub-collection
Co 16 201014235 C, —--:______________*·*>--- 一 C〇 ' Cs ' ClO ' C15 C2 Cl ' C4 ' C\\ x c14 C3 "一. ^1 Cl ' Cfi ' ' c12 各子集合C〇〜C:3的臨界值711如表2所示: 表2Co 16 201014235 C, ———::______________*·*>--- One C〇' Cs 'ClO ' C15 C2 Cl ' C4 ' C\\ x c14 C3 "一. ^1 Cl ' Cfi ' ' c12 The critical value 711 of each sub-set C〇~C:3 is shown in Table 2: Table 2
子集合 臨界值TH Co - 0.4+H) Cl + 〇.5(nf+X〇.5i/_) c2 C3 —--—0.5i/min^ -/(0-5(/^) 其中’ βηών· = ^“丨〜+丨^咖,是接收到的星座圖的星座 點之間的最小間距’ 是傳送的星座圖的星座點之間的最 小間距。每一臨界值ΤΗ在相對應的子集合c〇〜C3中切割出 四個決策區間,其中,每一決策區間涵蓋一星座點。判斷Sub-set threshold TH Co - 0.4+H) Cl + 〇.5(nf+X〇.5i/_) c2 C3 —---0.5i/min^ -/(0-5(/^) where 'βηών · = ^ "丨~+丨^咖, is the minimum spacing between constellation points of the received constellation diagram' is the minimum spacing between constellation points of the transmitted constellation. Each threshold is 相对 in the corresponding sub Four decision intervals are cut out in the set c〇~C3, wherein each decision interval covers a constellation point.
法則如表3所示: 表.3 子集合 z>Re(TH) z>Im(TH) 滿足 的星座點 C〇 C〇 滿足 滿足 不滿足 不滿足 ------ Δ -____ C-ι 滿足 Co 不滿足 不滿足 一 0 C x η C, 滿足 滿足 -~—£.13 \ ·. Co 滿足 不滿足 不滿足 __ c5 滿足 —-c>〇 17 201014235 不滿足 不滿足 C15 C2 滿足 滿足 Cl 滿足 不滿足 c4 不滿足 滿足 C\\ 不滿足 不滿足 C14 C3 滿足 滿足 c3 滿足 不滿足 不滿足 滿足 C9 不滿足 不滿足 Cl2 信號z如圖5中的x所示。由於在子集合C〇中,信號z 滿足z>Re(TH),也滿足z>Im(TH) ’因此找出的星座點是c2 ;由於在子集合Ci中,信號z不滿足z>Re(TH),但滿足 z>Im(TH),因此找出的星座點是c10 ;由於在子集合C2中, 信號z不滿足2>Re(TH) ’但滿足z>Im(TH),因此找出的星 座點是cn ;由於在子集合C3中,信號z滿足z>Re(TH), 也滿足z>Im(TH),因此找出的星座點是C3。 參閱圖6,舉另一個例子說明。當5^=2時,8-PSK星座 圖可以分割成各包括四個星座點的二個子集合G〇、G!,其 中,子集合G〇可以很容易地用一臨界值τη從中找出距離 信號z最近的星座點,而子集‘ G!經旋轉45。後,也可以 很容易地用一臨界值TH從中找出距離信號z最近的星座點 〇 值得注意的是,本實施例也可以與其它QAM調變技術 、其它psk調變技術及其它調變技術配合,不以16_qam 18 201014235 及8-PSK為限。 盖區數目的決定 假設在選取分枝的過程中,正確的路徑(代表正確的 傳送字元向量产)沒有被删除1此正姐減從第μ 階層(ί=1,...,Λ〇向下-階層延伸時,信號:如下所示: Z = rN,-M,Nl-MX^li+l+WN「M, 式(12)The rules are shown in Table 3: Table 3. Subsets z> Re(TH) z> Im(TH) Satisfying constellation points C〇C〇 Satisfy Satisfaction Satisfaction Not satisfied ------ Δ -____ C-ι Satisfy Co does not satisfy not satisfying a 0 C x η C, satisfies satisfying -~-£.13 \ ·. Co satisfies dissatisfaction dissatisfaction __ c5 satisfies --c>〇17 201014235 does not satisfy unsatisfied C15 C2 satisfies C Satisfy not satisfied c4 Not satisfied Satisfied C\\ Not satisfied Not satisfied C14 C3 Satisfied C3 Satisfied Satisfied Not satisfied Satisfied C9 Not satisfied Not satisfied Cl2 Signal z as shown in x in Fig. 5. Since in the sub-set C〇, the signal z satisfies z>Re(TH), it also satisfies z>Im(TH) 'so the constellation point found is c2; since in the sub-set Ci, the signal z does not satisfy z>Re (TH), but satisfying z>Im(TH), so the constellation point found is c10; since in the sub-set C2, the signal z does not satisfy 2>Re(TH) ' but satisfies z>Im(TH), The constellation point found is cn; since the signal z satisfies z>Re(TH) and satisfies z>Im(TH) in the sub-set C3, the constellation point found is C3. Referring to Figure 6, another example is illustrated. When 5^=2, the 8-PSK constellation map can be divided into two sub-sets G〇, G! each including four constellation points, wherein the sub-set G〇 can easily find the distance from a threshold value τη The signal z is the nearest constellation point, while the subset 'G! is rotated 45. After that, it is also easy to find the closest constellation point of the distance signal z with a threshold TH. It is worth noting that this embodiment can also be combined with other QAM modulation techniques, other psk modulation techniques, and other modulation techniques. Coordination, not limited to 16_qam 18 201014235 and 8-PSK. The decision on the number of cover areas assumes that in the process of selecting branches, the correct path (representing the correct transfer character vector) is not deleted. 1 This sister is subtracted from the μth level (ί=1,...,Λ 〇 Down-level extension, the signal: as follows: Z = rN, -M, Nl-MX^li+l+WN "M, Equation (12)
其中,‘是正確的傳送字元,%★是雜訊,且是一 複數高斯函數。 參閱圖7,在雜訊功率岐的情況下(如圖7中的圓圈 所示)’如果通道衰減較嚴重的話(即較小時),接 收到的星座圖的星座點(如圖7中的圓形點所示)之間的 間距會變小’雜訊〜,彳能導致信號點〜务心%1越過數 個星座點而偏移到信號z (如圖7中的菱形點.所示),因此 ’需要採用較大的第一目標數目&,以使所找出的.距離信 號Z最近的&個星座點能涵蓋信號點χ;^_+ι。如圖7(a)所示 ’如果通道衰減較嚴重的話,圓圈涵蓋較多的星座點(即 第一目標數目&較大),如圖7(b)所示,如果通道衰減較輕 微的話,圓圈涵蓋較少的星座點(即第一目輕數目$較小) 。由上可知,第一目標數目&和通道條件(即通道衰減及 雜訊功率)有關。在樹狀搜尋中,對於第階層( 卜1,...,M),應當根據相對應的通道條件決定適當的第一目 標數目& 〇 在向第Z階層延伸時,通常希望能決定—個適當的第一 目標數目&,使得正確的分枝被刪除的機率p…以小於一 19 201014235 目標機率Λ,。顯然’第一目標數目&愈大 j ^ fnissy^i) ^ 小,但計算複雜度愈高。因此,必須找到能滿足以上條件 的最小第一目標數目&,以降低計算複雜度。 等同於事件£的機率:正確傳送字元的分枝長 不在&條最短的分枝長之内。由於根據事件丑的機率來求 得户的解答之計算過程非常複雜,必須計算丨C! 個分枝長才能求得,本實施例採用以下方式來求出近似解 ,以降低計算複雜度。 參閱圖8,在星座圖中,以信號z為中心,定義一個涵 · 蓋&個星座點的正方形。事件五可以近似成事件j :正確 傳送字元落在正方形之外。根據Forney的連續近似( continuous approximation ),正方形的邊長可以近似成 A = V^_·。根據式(12)及>ιν,_ί+1 〜CN(〇,σ")’正確的分枝被刪 除的機率戶m&⑸)如下所示:Among them, ‘is the correct transfer character, %★ is the noise, and is a complex Gaussian function. Referring to Figure 7, in the case of noise power ( (shown by the circle in Figure 7) 'If the channel attenuation is more severe (ie, smaller), the constellation points of the received constellation (as in Figure 7) The spacing between the circular points will become smaller 'noise ~, 彳 can cause the signal point ~ the centroid %1 is crossed over several constellation points and offset to the signal z (as shown by the diamond point in Figure 7). ), therefore 'need to use a larger first target number & so that the nearest & constellation points of the distance signal Z can cover the signal point χ; ^_+ι. As shown in Figure 7(a), if the channel attenuation is more serious, the circle covers more constellation points (ie, the first target number & larger), as shown in Figure 7(b), if the channel attenuation is slight. The circle covers fewer constellation points (ie, the first item is lighter than the smaller number). As can be seen from the above, the first target number & and channel conditions (ie channel attenuation and noise power) are related. In the tree search, for the first level (Bu 1, ..., M), the appropriate first target number & should be determined according to the corresponding channel conditions. When extending to the Zth level, it is usually desirable to decide - The appropriate number of first targets &, the probability that the correct branch is deleted p... is less than a 19 201014235 target probability. Obviously the 'number of first targets & the larger j ^ fnissy^i) ^ small, but the higher the computational complexity. Therefore, it is necessary to find the minimum number of first targets & that can satisfy the above conditions to reduce the computational complexity. Equivalent to the probability of event £: the branch length of the correctly transmitted character is not within the shortest branch length of the & Since the calculation process of finding the answer of the household according to the probability of the event is very complicated, it is necessary to calculate the branch length of 丨C!, and the present embodiment uses the following method to obtain an approximate solution to reduce the computational complexity. Referring to Fig. 8, in the constellation diagram, a square of culverts & constellation points is defined centering on the signal z. Event 5 can be approximated as event j: Correct The transfer character falls outside the square. According to Forney's continuous approximation, the side length of a square can be approximated as A = V^_·. According to equation (12) and >ιν,_ί+1 ~CN(〇,σ"), the correct branch is deleted m&(5)) as follows:
PmJS^P(A) «1-φβ(^,+1)<| and |^,+1)<|^ ,PmJS^P(A) «1-φβ(^,+1)<| and |^,+1)<|^ ,
式(13) jfi e 2«/m。解 户可得一期 20 201014235 式(14) :其中,2㈠疋0(.)的反函數,心以是軟硬鱧可容許的 最大第一目標數目&。如果心“不受軟硬體限制的話,$ 可設為星座圖所包括的星座點之數目iq,例如:‘對於b QAM星座圖’ 可設為16。Equation (13) jfi e 2«/m. The user can get a period of 20 201014235 (14): where 2 (one) 疋 0 (.) inverse function, the heart is the maximum number of first targets that can be tolerated. If the heart is "not restricted by software and hardware, $ can be set to the number iq of constellation points included in the constellation diagram, for example, 'for b QAM constellation' can be set to 16.
為了能利用溫格柏的集合分割,第一目標數目&必須 為2的冪次方,以,其中,叭是最接近但不 小於X之2的冪次方。 综上所述,本實施例在中的至少—者小於丨c丨時 ,可以減少QRD-M演算法所需計算的分枝長,且本實施例 了以與QAM、PSK等多種調變技術配合,故確實.能達到本 發明之目的。In order to be able to utilize Wenger's set partitioning, the first target number & must be a power of 2, where the horn is the nearest power but not less than the power of 2. In summary, when at least one of the embodiments is less than 丨c丨, the branch length calculated by the QRD-M algorithm can be reduced, and the embodiment is coordinated with various modulation technologies such as QAM and PSK. Therefore, it is indeed possible to achieve the object of the present invention.
Sr =min^ 4 / ΓPt^et ^ \2" > rr ρ ΐ 4 J / ,户 max 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 範圍及發明說明内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内。 【圖式簡單說明】 圖1是一樹狀圖’說明多輸入多輸出系統中的樹狀搜 尋; 圖2是一方塊圖’說明本發明多輸入多輸出偵測器之 較佳實施例; 圖3和圖4是流程圖,說明較佳實施例所使用的偵測 方法; 21 201014235 圖5是一示意圈,說明溫格柏的集合分割如何應用在 16-QAM星座圖; 圖6是一示意圖,說明溫格柏的集合分割如何應用在 , 8-PSK星座圖; 圖7是一示意圖’說明所需的星座點數目和通道條件 之間的關係;及 圖8疋一示意圖,說明本實施例如何決定所需的星座 點數目。 ❹ 22 201014235 【主要元件符號說明】 21 .… …··通道估測器 24…… …偵測單元 22····' ···· QR分解單元 25…… …接收天線 23•… .....轉換單元 31〜48· …步驟Sr =min^ 4 / ΓPt^et ^ \2"> rr ρ ΐ 4 J / , household max, but the above is only a preferred embodiment of the present invention, and the invention may not be limited thereto. The scope, that is, the simple equivalent changes and modifications made by the invention in the scope of the invention and the scope of the invention are still within the scope of the invention. BRIEF DESCRIPTION OF THE DRAWINGS FIG. 1 is a tree diagram illustrating a tree search in a multiple input multiple output system; FIG. 2 is a block diagram illustrating a preferred embodiment of the multiple input multiple output detector of the present invention; FIG. And FIG. 4 is a flow chart illustrating the detection method used in the preferred embodiment; 21 201014235 FIG. 5 is a schematic circle illustrating how the set partitioning of Wengebo is applied to the 16-QAM constellation diagram; FIG. 6 is a schematic diagram. Explain how the Wengebo's set partitioning is applied to the 8-PSK constellation; Figure 7 is a schematic diagram illustrating the relationship between the number of constellation points required and the channel conditions; and Figure 8 is a schematic diagram showing how this embodiment illustrates Decide on the number of constellation points you need. ❹ 22 201014235 [Description of main component symbols] 21 .... ...··Channel estimator 24... Detecting unit 22·························································· ...conversion unit 31~48· ...step
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