TWI423629B - A method of reducing peak-to-average power ratio for an ofdm systems - Google Patents

A method of reducing peak-to-average power ratio for an ofdm systems Download PDF

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TWI423629B
TWI423629B TW099136266A TW99136266A TWI423629B TW I423629 B TWI423629 B TW I423629B TW 099136266 A TW099136266 A TW 099136266A TW 99136266 A TW99136266 A TW 99136266A TW I423629 B TWI423629 B TW I423629B
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signal
time domain
subcarrier
candidate
signals
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TW201218705A (en
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Chih Peng Li
Sen Hung Wang
Keng Wei Kuo
Chin Liang Wang
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Univ Nat Sun Yat Sen
Nat Univ Tsing Hua
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降低正交分頻多工系統之峰值對平均功率比值之方法Method for reducing peak-to-average power ratio of orthogonal frequency division multiplexing system

本發明係關於一種降低正交分頻多工系統之峰值對平均功率比值之方法,尤其是一種不傳旁帶資訊的降低正交分頻多工系統之峰值對平均功率比值之方法。The present invention relates to a method for reducing the peak-to-average power ratio of an orthogonal frequency division multiplexing system, and more particularly to a method for reducing the peak-to-average power ratio of an orthogonal frequency division multiplexing system without sideband information.

正交分頻多工(Orthogonal Frequency Division Multiplexing,OFDM)是近年來在無線通訊領域中非常熱門的技術,由於正交分頻多工技術係具有高資料傳輸速率、對通道衰減抵抗效果佳及易於在硬體上實現,故已被許多無線通訊系統所採用,例如:IEEE 802.11 a/g/n無線區域網路(Wireless Local Area Networks,WLAN)、IEEE 802.16微波存取全球互通(Worldwide Interoperability for Microwave Access,WiMAX)、數位影像廣播(Digital Video Broadcasting,DVB)及數位語音廣播(Digital Audio Broadcasting,DAB)等。Orthogonal Frequency Division Multiplexing (OFDM) is a very popular technology in the field of wireless communication in recent years. Because the orthogonal frequency division multiplexing technology has high data transmission rate, good resistance to channel attenuation and easy to be used. It is implemented on hardware and has been adopted by many wireless communication systems, such as IEEE 802.11 a/g/n Wireless Local Area Networks (WLAN), IEEE 802.16 Worldwide Interoperability for Microwave. Access, WiMAX), Digital Video Broadcasting (DVB), and Digital Audio Broadcasting (DAB).

然而,在正交分頻多工系統中,由於子載波(Subcarrier)疊加容易產生過高的峰值對平均功率比(Peak-to-Average Power Ratio,PAPR),故訊號在傳送前經過功率放大器時,峰值對平均功率比過高之訊號容易到達功率放大器的非線性放大區而受到非線性放大,造成訊號的頻帶內失真(In-Band Distortion)及頻帶外輻射(Out-of-Band Radiation),使接收端之位元錯誤率(Bit Error Rate,BER)大幅上升。However, in the orthogonal frequency division multiplexing system, since the subcarrier superposition is likely to generate an excessive peak-to-average power ratio (PAPR), the signal passes through the power amplifier before transmission. The signal whose peak-to-average power ratio is too high easily reaches the nonlinear amplification region of the power amplifier and is nonlinearly amplified, resulting in in-band distortion and out-of-band Radiation of the signal. The bit error rate (BER) of the receiving end is greatly increased.

雖然,可藉由將訊號功率等比例降低,而強迫訊號工作在功率放大器的線性放大區,惟,此方式會使功率效益(Power Efficiency)下降。為在不降低功率效益前提下降低峰值對平均功率比,已有許多習知方法被提出,例如:截波(Clipping)、編碼(Coding)、載波保留(Tone Reservation,TR)、選擇性映射(Selected Mapping,SLM)、分部傳送序列(Partial Transmit Sequences,PTS)及可變動星座圖延伸(Active Constellation Extension,ACE)。其中,選擇性映射法可提供很好的峰值對平均功率比,且保持原來訊號不失真。惟,此方法必須額外傳送旁帶資訊(Side Information)且其運算複雜度高。再者,傳送旁帶資訊將使得系統的資料傳輸量下降,且若接收端解錯旁帶資訊,則造成位元錯誤率大幅上升。為解決此問題,可在旁帶資訊中加入錯誤更正碼保護。惟,此解決方式將使資料傳輸速率嚴重下降,降低頻寬使用效率。Although the signal can be forced to operate in the linear amplification region of the power amplifier by reducing the signal power proportionally, this approach reduces power efficiency. In order to reduce the peak-to-average power ratio without reducing the power efficiency, many conventional methods have been proposed, such as: Clipping, Coding, Tone Reservation (TR), Selective Mapping ( Selected Mapping (SLM), Partial Transmit Sequences (PTS), and Active Constellation Extension (ACE). Among them, the selective mapping method can provide a good peak-to-average power ratio and keep the original signal undistorted. However, this method must additionally transmit Side Information and its computational complexity is high. Furthermore, transmitting the sideband information will cause the system's data transmission volume to decrease, and if the receiving end decodes the sideband information, the bit error rate will increase significantly. To resolve this issue, you can add error correction code protection to the sideband information. However, this solution will seriously reduce the data transmission rate and reduce the bandwidth usage efficiency.

為解決選擇性映射法之傳送旁帶資訊問題,可藉由子載波功率不同來代表不同的候選訊號(Candidate Signals),例如揭示於IEEE Trans. Wireless Commun.,vol. 8,no. 7,pp. 3320-3325,Jul. 2009,「Selected mapping without side information for PAPR reduction in OFDM」的另一習知方法,其係利用直接放大子載波某幾個位置的功率來代表不同的候選訊號。惟,此方法會使某些子載波的功率降低,增加系統的位元錯誤率。In order to solve the problem of transmission sideband information of the selective mapping method, different candidate signals (Candidate Signals) can be represented by different subcarrier powers, for example, disclosed in IEEE Trans. Wireless Commun., vol. 8, no. 7, pp. 3320-3325, Jul. 2009, another conventional method of "Selected mapping without side information for PAPR reduction in OFDM", which utilizes direct amplification of power at several locations of subcarriers to represent different candidate signals. However, this method reduces the power of certain subcarriers and increases the bit error rate of the system.

為解決選擇性映射法之高運算複雜度問題,另一習知方法[揭示於IEEE Trans. Signal Process.,vol. 58,no. 5,pp. 2916-2921,May 2010,「Novel low-complexity SLM schemes for PAPR reduction in OFDM systems」]係揭示一種低複雜度的選擇性映射法,利用反快速傅立葉轉換(Inverse Fast Fourier Transform,IFFT)的三個特性來降低複雜度,分別敘述如下:Another conventional method for solving the problem of high computational complexity of the selective mapping method [disclosed in IEEE Trans. Signal Process., vol. 58, no. 5, pp. 2916-2921, May 2010, "Novel low-complexity" SLM schemes for PAPR reduction in OFDM systems] reveals a low-complexity selective mapping method that uses three features of Inverse Fast Fourier Transform (IFFT) to reduce complexity, as described below:

特性一:Feature one:

時域向量等於N點環形旋積運算(Circular Convolution),如下列公式(a)所示:Time domain vector Equal to the N point circular convolution (Circular Convolution), as shown in the following formula (a):

其中,傳送訊號X 為N×1的向量,且為U個不相交N×1的向量相加,為一個N×1的向量,u=0,1,...,U-1,中的第k個元素可表示為[k ]={X [k ],k ; 0,otherwise ,={u +vU |v =0,1,...,N/U -1},經過IFFT後時域上的向量;為N點的環形旋積運算;中的第m個元素係如下列公式(b)所示:Wherein, the transmission signal X is a vector of N×1, and the vectors of U disjoint N×1 are added, , Is an N × 1 vector, u = 0, 1, ..., U-1, The kth element in can be expressed as [ k ]={ X [ k ], k ; 0 , otherwise , ={ u + vU | v =0,1,..., N/U -1}, for a vector on the time domain after IFFT; An annular convolution operation for point N; The mth element in the system is as shown in the following formula (b):

特性二:Feature 2:

等於子向量與係數相乘的結果,如下列公式(c)所示: Equal to subvector And coefficient The result of the multiplication is as shown in the following formula (c):

其中,為N/U×1的子向量;=exp(juq/U ),q=1,2,...,U-1。among them, a subvector of N/U×1; =exp( juq/U ), q=1, 2,..., U-1.

特性三:Feature three:

當時域訊號作循環位移(Cyclic Shift)時,會等效於原頻域訊號的子載波呈現累進旋轉角度效果的相位旋轉,並不會讓原本訊號振幅改變,如下列公式(d)及(e)所示:When the domain signal is cyclically shifted (Cyclic Shift), it will be equivalent to the phase rotation of the subcarrier of the original frequency domain signal showing the progressive rotation angle effect, and will not change the amplitude of the original signal, such as the following formulas (d) and (e) ) shown:

所以當X =[X [0],X [1],...,X [N -1]]且U=4時,可得四個等間隔分布的訊號,分別如下列公式(f)、(g)、(h)及(i)所示:So when X = [ X [0], X [1],..., X [ N -1]] and U=4, four equally spaced signals are obtained. , , and , as shown in the following formulas (f), (g), (h) and (i):

經由公式(a),可將時域訊號表示如下列公式(j):Through the formula (a), the time domain signal can be expressed as the following formula (j):

可由公式(b)得知,分別表示如下列公式(k)、(l)、(m)及(n):and , , and It can be known from formula (b), which respectively represents the following formulas (k), (l), (m) and (n):

在此,分別為碼長為N的向量,每個向量可再分成四個碼長為N/4的子向量,每個子向量的起始點之值均屬於{±1,±j }且其他點之值均為0。因此,x [n ]及[n ]作環形旋積運算的運算複雜度可大幅降低。經由快速傅立葉轉換(Fast Fourier Transform,FFT)運算,可得知,分別表示如下列公式(o)、(p)、(q)及(r):here, , , and They are respectively vectors with a code length of N. Each vector can be subdivided into four sub-vectors with a code length of N/4. The value of the starting point of each sub-vector belongs to {±1, ± j } and the values of other points Both are 0. Therefore, x [ n ] and The computational complexity of the [ n ] circular convolution operation can be greatly reduced. Known by Fast Fourier Transform (FFT) operation , respectively, as expressed in the following formulas (o), (p), (q), and (r):

由上述公式(o)、(p)、(q)及(r),可得知訊號在頻域上等間隔分離,可以等效將時域訊號與一個序列作環形旋積運算,如下列公式(s)所示:From the above formulas (o), (p), (q) and (r), it can be seen that the signals are equally spaced in the frequency domain, and the time domain signal can be equivalently circularly convoluted with a sequence, such as the following formula. (s) shows:

因此,可僅用一個反快速傅立葉轉換就得到所有的分離訊號,大幅減少反快速傅立葉轉換數量。另,由特性二可將[n ]表示如下列公式(t):Therefore, all the separated signals can be obtained by only one inverse fast Fourier transform, which greatly reduces the number of inverse fast Fourier transforms. In addition, by feature 2 [ n ] represents the following formula (t):

[n ]做N/4的循環位移後可得下列公式(u):and [ n ] After doing a cyclic shift of N/4, the following formula (u) can be obtained:

由公式(s)可知可由4個1×N/4的矩陣a u 1a u 2a u 3a u 4 組成,如下列公式(t)所示:Known by the formula (s) It can be composed of four 1×N/4 matrices a u 1 , a u 2 , a u 3 and a u 4 , as shown in the following formula (t):

其中,之值係如下列公式(u)所示:among them, and The value is as shown in the following formula (u):

由(t)及(u)式可知,在求時,只需求出前N/4的值,後面3N/4的值可由前N/4的值分別乘上一個複數值而取得。From (t) and (u), we can see In time, it is only necessary to find the value of the first N/4, and the value of the latter 3N/4 can be obtained by multiplying the value of the previous N/4 by a complex value.

在獲得時域上四路訊號後,若欲產生不同的候選訊號,則將第一路訊號固定不動,第二至四路訊號分別做循環位移並限制在0至N/4-1之間,以取得多個不同的候選訊號,再將峰值對平均功率比值最小的候選訊號傳送出去。惟,此方法需傳送旁帶資訊,故具有前述頻寬使用效率不佳之問題。Obtain four signals on the time domain , , and After that, if different candidate signals are to be generated, the first signal will be Fixed, second to fourth signal , and The cyclic shifts are respectively limited to 0 to N/4-1 to obtain a plurality of different candidate signals, and the candidate signals whose peaks have the smallest average power ratio are transmitted. However, this method needs to transmit sideband information, so it has the problem that the aforementioned bandwidth is inefficiently used.

由於上述方式係具有需傳送旁帶資訊、位元錯誤率高或運算複雜度高等缺點,因此,需要加以改良,以提供一種同時具備不需傳送旁帶資訊、位元錯誤率低及運算複雜度低的降低正交分頻多工系統之峰值對平均功率比值之方法。Since the above method has the disadvantages of transmitting sideband information, high bit error rate or high computational complexity, it needs to be improved to provide a sideband information without transmission, low bit error rate and computational complexity. A low method of reducing the peak-to-average power ratio of an orthogonal frequency division multiplexing system.

本發明之目的乃改良上述缺點,以提供一種不需傳送旁帶資訊的降低正交分頻多工系統之峰值對平均功率比值之方法。It is an object of the present invention to improve the above disadvantages to provide a method for reducing the peak-to-average power ratio of an orthogonal frequency division multiplexing system that does not require transmission of sideband information.

本發明之次一目的,係提供一種位元錯誤率低的降低正交分頻多工系統之峰值對平均功率比值之方法。A second object of the present invention is to provide a method for reducing the peak-to-average power ratio of an orthogonal frequency division multiplexing system with a low bit error rate.

一種降低正交分頻多工系統之峰值對平均功率比值之方法,其步驟係包含:一領航訊號放置步驟、一訊號轉換步驟、一候選訊號產生步驟及一傳輸訊號選擇步驟。該領航訊號放置步驟係以第一個子載波位置為起點,將數個領航訊號以一等間隔放置於數路頻域訊號中,該頻域訊號係包含數路子載波頻域訊號,各該子載波頻域訊號係具有數個子載波及其位置。該訊號轉換步驟係將該頻域訊號轉成一時域訊號並濾出數路子載波時域訊號。該候選訊號產生步驟係輸入該子載波時域訊號,產生一候選位移集合,供該第一路以外之子載波時域訊號進行循環位移,並與該第一路子載波時域訊號相加,產生數個候選訊號。該傳輸訊號選擇步驟,係以該時域訊號及該候選訊號,選擇一具有最小峰值對平均功率比值之候選訊號並設為一傳輸訊號傳送。藉此,在領航訊號輔助之正交分頻多工系統中,以不傳旁帶資訊方式降低峰值對平均功率比值,其判斷錯誤率低。A method for reducing a peak-to-average power ratio of an orthogonal frequency division multiplexing system includes the steps of: a pilot signal placement step, a signal conversion step, a candidate signal generation step, and a transmission signal selection step. The pilot signal placement step starts with the first subcarrier position as a starting point, and the plurality of pilot signals are placed at equal intervals in the plurality of frequency domain signals, wherein the frequency domain signal includes a plurality of subcarrier frequency domain signals, each of the subcarriers The carrier frequency domain signal has several subcarriers and their locations. The signal conversion step converts the frequency domain signal into a time domain signal and filters out the number of subcarrier time domain signals. The candidate signal generating step is to input the sub-carrier time domain signal to generate a candidate displacement set, and the sub-carrier time domain signal except the first path is cyclically shifted, and is added to the first sub-carrier time domain signal to generate a number. Candidate signals. The transmission signal selection step selects a candidate signal having a minimum peak-to-average power ratio by using the time domain signal and the candidate signal, and sets the transmission signal as a transmission signal. Thereby, in the pilot signal assisted orthogonal frequency division multiplexing system, the peak-to-average power ratio is reduced by not transmitting the sideband information, and the judgment error rate is low.

一種降低正交分頻多工系統之峰值對平均功率比值之方法,其步驟係包含:一領航訊號放置步驟、一訊號轉換步驟、一分群序列產生步驟、一分群候選訊號產生步驟及一傳輸訊號選擇步驟。該領航訊號放置步驟係以第一個子載波位置為起點,將數個領航訊號以一等間隔放置於數路頻域訊號中,該頻域訊號係包含數路子載波頻域訊號,各該子載波頻域訊號係具有數個子載波及其位置。該訊號轉換步驟係將該頻域訊號轉成一時域訊號並濾出數路子載波時域訊號。該分群序列產生步驟,係產生數個奇偶分群之Zadoff-Chu序列。該分群候選訊號產生步驟,係將該Zadoff-Chu序列分別與該第一路子載波時域訊號產生數路奇偶分群之Zadoff-Chu子載波時域訊號,並以一候選位移集合W與該第一路之外的子載波時域訊號進行奇偶分群循環位移,產生數路循環位移子載波時域訊號,該Zadoff-Chu子載波時域訊號分別與該循環位移子載波時域訊號相加,以產生數個候選訊號。該傳輸訊號選擇步驟,係從該候選訊號中,選擇一具有最小峰值對平均功率比值之候選訊號並設為一傳輸訊號傳送。藉此,在領航訊號輔助之正交分頻多工系統中,以不傳旁帶資訊方式降低峰值對平均功率比值,其判斷錯誤率低,且產生的候選訊號較少,可降低搜尋的複雜度。A method for reducing a peak-to-average power ratio of an orthogonal frequency division multiplexing system includes the steps of: a pilot signal placement step, a signal conversion step, a group sequence generation step, a group candidate signal generation step, and a transmission signal Select the steps. The pilot signal placement step starts with the first subcarrier position as a starting point, and the plurality of pilot signals are placed at equal intervals in the plurality of frequency domain signals, wherein the frequency domain signal includes a plurality of subcarrier frequency domain signals, each of the subcarriers The carrier frequency domain signal has several subcarriers and their locations. The signal conversion step converts the frequency domain signal into a time domain signal and filters out the number of subcarrier time domain signals. The clustering sequence generation step is to generate a number of parity group Zadoff-Chu sequences. The grouping candidate signal generating step is to generate a Zadoff-Chu subcarrier time domain signal of the Zadoff-Chu sequence and the first subcarrier time domain signal respectively, and a candidate displacement set W and the first The subcarrier time domain signal outside the path performs a parity group cyclic shift to generate a plurality of cyclic shift subcarrier time domain signals, and the Zadoff-Chu subcarrier time domain signals are respectively added to the cyclic shift subcarrier time domain signals to generate Several candidate signals. The transmission signal selection step selects a candidate signal having a minimum peak-to-average power ratio from the candidate signals and sets it as a transmission signal transmission. Therefore, in the pilot signal-assisted orthogonal frequency division multiplexing system, the peak-to-average power ratio is reduced by not transmitting the sideband information, the judgment error rate is low, and fewer candidate signals are generated, which can reduce the complexity of the search. degree.

為讓本發明之上述及其他目的、特徵及優點能更明顯易懂,下文特舉本發明之較佳實施例,並配合所附圖式,作詳細說明如下:The above and other objects, features and advantages of the present invention will become more <RTIgt;

本發明全文所述之〝耦接〞,大致可包含實體線路連結或無線連結等方式,其詳細連結方式係為所屬技術領域中具有通常知識者可以理解。The 〝 coupling described in the full text of the present invention may substantially include a physical line connection or a wireless connection, and the detailed connection manner is understood by those skilled in the art.

本發明全文所述之〝Zadoff-Chu序列〞,其係具有以下的特性:The 〝Zadoff-Chu sequence 所述 described in the full text of the present invention has the following characteristics:

1.Zadoff-Chu序列係一個等振幅自相關為0的序列(Constant Amplitude Zero Autocorrelation Waveform,CAZAC);1. The Zadoff-Chu sequence is a sequence of equal amplitude autocorrelation Waveform (CAZAC);

2.Zadoff-Chu序列的根索引(Root Index)u與其序列碼長N zc 互質;2. The root index (Root Index) u of the Zadoff-Chu sequence is relatively prime with its sequence code length N zc ;

3.在相同的根索引u下,同一Zadoff-Chu序列具有完美的週期性自相關(Periodic Autocorrelation);3. Under the same root index u, the same Zadoff-Chu sequence has perfect periodic autocorrelation (Periodic Autocorrelation);

4.在不同的根索引u下,不同根索引的Zadoff-Chu序列之週期性互相關(Periodic Crosscorrelation)低;4. Under different root indexes u, the periodic crosscorrelation of the Zadoff-Chu sequences of different root indexes is low;

5.若該序列碼長N zc 為質數,則其具有N zc -1個週期性互相關為1/的序列。其係為所屬技術領域中具有通常知識者可以理解。5. If the sequence code length N zc is a prime number, then it has N zc -1 periodic cross-correlation is 1/ the sequence of. It is understood by those of ordinary skill in the art.

請參照第1圖所示,其係本發明降低正交分頻多工系統之峰值對平均功率比值之方法的第一實施例之傳送端架構示意圖。其係一種基於選擇性映射法之架構,一傳送端裝置1係包含:一領航訊號放置單元11、一訊號轉換單元12、一候選訊號產生單元13及一傳輸訊號選擇單元14。該訊號轉換單元12係耦接該領航訊號放置單元11及該傳輸訊號選擇單元14,該候選訊號產生單元13係耦接該訊號轉換單元12及該傳輸訊號選擇單元14。Please refer to FIG. 1 , which is a schematic diagram of a transmission end architecture of a first embodiment of a method for reducing a peak-to-average power ratio of an orthogonal frequency division multiplexing system according to the present invention. It is a structure based on the selective mapping method. A transmitting device 1 includes: a pilot signal placing unit 11, a signal converting unit 12, a candidate signal generating unit 13, and a transmission signal selecting unit 14. The signal conversion unit 12 is coupled to the pilot signal placement unit 11 and the transmission signal selection unit 14. The candidate signal generation unit 13 is coupled to the signal conversion unit 12 and the transmission signal selection unit 14.

其中,該領航訊號放置單元11係將數個領航訊號(Pilot Signals)等間隔放置於一頻域訊號(Frequency Domain Signal)X 中,該頻域訊號X 係包含數路子載波頻域訊號(Subcarrier Frequency Domain Signals),U為2的冪次,且U≧2(僅限於2或4),該子載波頻域訊號係具有數個子載波及其位置;該訊號轉換單元12係將該頻域訊號X 轉成一時域訊號(Time Domain Signal)x 並濾出數路子載波時域訊號(Subcarrier Time Domain Signals),U為2的冪次,且U≧2(僅限於2或4);該候選訊號產生單元13係輸入該數路子載波時域訊號,產生一候選位移集合(Candidate Shift Set) W,供該數路子載波時域訊號之第一路子載波時域訊號以外的子載波時域訊號進行循環位移(Cyclic Shift),並與該第一路子載波時域訊號相加以產生一候選訊號(Candidate Signals)y ;該傳輸訊號選擇單元14係以該時域訊號x 及該候選訊號y ,選擇一具有最小峰值對平均功率比值(Peak-to-Average Power Ratio,PAPR)之訊號,並設為一傳輸訊號r 傳送。藉此,可在領航訊號輔助(Pilot aided)之正交分頻多工系統中,以不傳旁帶資訊(Side Information)方式降低峰值對平均功率比值。在此實施例中,U係設為4。該時域訊號x 可分為四路訊號,該四路訊號轉為四頻域訊號後,該頻域訊號係各為一等間隔(間隔為4)分佈之訊號,如下式(1)、(2)、(3)、(4)所示:Among them, the pilot signal placement unit 11 will have several pilot signals (Pilot Signals) Equally placed in a frequency domain signal X , the frequency domain signal X includes a number of subcarrier frequency domain signals (Subcarrier Frequency Domain Signals) , U is a power of 2, and U≧2 (2 or 4 only), the subcarrier frequency domain signal Has several subcarriers and their locations The signal conversion unit 12 converts the frequency domain signal X into a time domain signal (Time Domain Signal) x and filters out the subcarrier time domain signal (Subcarrier Time Domain Signals). , U is a power of 2, and U ≧ 2 (only 2 or 4); the candidate signal generating unit 13 inputs the time-domain signal of the number of sub-carriers , generating a candidate displacement set (Candidate Shift Set) W, for the number of subcarrier time domain signals First subcarrier time domain signal Subcarrier time domain signal Performing a cyclic shift (Cyclic Shift) with the first subcarrier time domain signal Adding a candidate signal (Candidate Signals) y ; the transmission signal selecting unit 14 selects a Peak-to-Average Power Ratio (PAPR) by using the time domain signal x and the candidate signal y . The signal is set to a transmission signal r transmission. In this way, the peak-to-average power ratio can be reduced by the Side Information method in the Pilot Aided Orthogonal Frequency Division Multiplex System. In this embodiment, the U system is set to 4. The time domain signal x can be divided into four signals , , and , the four-way signal , , and Switch to quad-band signal , , and After the frequency domain signal , , and Each is a signal with a first interval (interval of 4), as shown in the following equations (1), (2), (3), (4):

其中,該頻域訊號X =[X [0],X [1],...,X [N -1]]。Wherein, the frequency domain signal X = [ X [0], X [1], ..., X [ N -1]].

該領航訊號放置單元11係於該四路頻域訊號中,以第一個子載波位置L 0 為起點,等間隔放置該領航訊號P a 。詳言之,由於時域訊號的循環位移等效於在頻域上的子載波訊號累進旋轉角度效果的相位旋轉之特性,如下式(5)及(6)所示:The pilot signal placement unit 11 is connected to the four-channel frequency domain signal , , and The pilot signal P a is placed at equal intervals with the first subcarrier position L 0 as a starting point. In detail, since the cyclic shift of the time domain signal is equivalent to the phase rotation of the effect of the progressive rotation angle of the subcarrier signal in the frequency domain, as shown in the following equations (5) and (6):

其中,為一個N×1的向量,u=0,1,...,U-1,中的第k個元素。among them, Is an N × 1 vector, u = 0, 1, ..., U-1, The kth element in .

假設該領航訊號數量為p,子載波數量為N,第一個領航訊號P 0 放置於第一個子載波位置L 0 ,其餘領航訊號P 1P 2 、...、P p -1 分別以一等間隔放置其餘子載波位置,其中,該等間隔為N /p +1,且p 2 N 。請參閱第2圖所示,其係本發明第一實施例之領航訊號放置示意圖。其中,該領航訊號之數量p為4,該4路子載波頻域訊號之子載波數量N為16,第一個領航訊號P 0 放置於第一個子載波位置L 0 ,第2個領航訊號P 1 放置於第6個子載波位置L 5 ,第3個領航訊號P 1 放置於第11個子載波位置L 10 ,依此類推。以確保各該領航訊號間係為等間隔分佈且每一路之領航訊號數量相同並等間隔,其中同一路之領航訊號係以4×(N/p+1)個子載波位置等間隔放置,若以所有子載波頻域訊號的觀點來看,則為各該領航訊號係以(N/p+1)個子載波位置等間隔放置。Assume that the pilot signal The number is p, the number of subcarriers is N, the first pilot signal P 0 is placed at the first subcarrier position L 0 , and the other pilot signals P 1 , P 2 , ..., P p -1 are equally spaced. Placing the remaining subcarrier locations Where the intervals are N / p +1 and p 2 N. Please refer to FIG. 2, which is a schematic diagram of the pilot signal placement according to the first embodiment of the present invention. Among them, the pilot signal The number p is 4, and the 4-channel subcarrier frequency domain signal The number of subcarriers N is 16, the first pilot signal P 0 is placed at the first subcarrier position L 0 , the second pilot signal P 1 is placed at the sixth subcarrier position L 5 , and the third pilot signal P 1 is placed. At the 11th subcarrier position L 10 , and so on. To ensure that each pilot signal The interval is equally spaced and the pilot signal of each channel The same number and equal intervals, the pilot signal of the same road Is placed at equal intervals of 4×(N/p+1) subcarrier positions. If all subcarriers are used in the frequency domain signal, then these pilot signals are used. They are placed at equal intervals of (N/p+1) subcarrier positions.

該訊號轉換單元12係設有一反快速傅立葉轉換器121及一濾波器122,該反快速傅立葉轉換器121係耦接該濾波器122。該反快速傅立葉轉換器121係將該頻域訊號X 轉成該時域訊號x ,並傳送至該濾波器122濾出數路子載波時域訊號。詳言之,該反快速傅立葉轉換器121將該頻域訊號X 進行反快速傅立葉轉換(Inverse Fast Fourier Transform,IFFT),以產生該時域訊號x ,如下式(7)所示:The signal conversion unit 12 is provided with an inverse fast Fourier transformer 121 and a filter 122. The inverse fast Fourier transformer 121 is coupled to the filter 122. The inverse fast Fourier transformer 121 converts the frequency domain signal X into the time domain signal x , and transmits the signal to the filter 122 to filter the digital subcarrier time domain signal. . In detail, the inverse fast Fourier transformer 121 performs an inverse fast Fourier transform (IFFT) on the frequency domain signal X to generate the time domain signal x , as shown in the following equation (7):

由於訊號在頻域上等間隔分離,可以等效將時域訊號與一個序列作環形旋積運算,如下式(8)所示:Since the signals are equally spaced in the frequency domain, the time domain signal can be equivalently circularly convolved with a sequence, as shown in the following equation (8):

因此該時域訊號x 與一濾波序列作環形旋積運算,可濾出該子載波時域訊號,如下式(9)至(13)所示:Therefore the time domain signal x and a filtering sequence As a circular convolution operation, the subcarrier time domain signal can be filtered out , as shown in the following formulas (9) to (13):

該候選訊號產生單元13係設有一循環位移器131及一加法器132,該循環位移器131係耦接該加法器132。該候選訊號產生單元13係輸入該數路子載波時域訊號,該循環位移器131係產生該候選位移集合W,供該數路子載波時域訊號之第一路子載波時域訊號以外的子載波時域訊號進行循環位移,產生數路子載波時域訊號與該第一路子載波時域訊號以該加法器132相加,產生該候選訊號yThe candidate signal generating unit 13 is provided with a cyclic shifter 131 and an adder 132. The cyclic shifter 131 is coupled to the adder 132. The candidate signal generating unit 13 inputs the digital subcarrier time domain signal The cyclic shifter 131 generates the candidate displacement set W for the time domain subcarrier time domain signal First subcarrier time domain signal Subcarrier time domain signal Perform cyclic shift to generate digital subcarrier time domain signals Time domain signal with the first subcarrier The adder 132 is added to generate the candidate signal y .

該循環位移器131係將該數路子載波時域訊號之第一路子載波時域訊號以外的子載波時域訊號進行循環位移,以產生該候選位移集合W。詳言之,在接收端通道已知的情形下,由於頻域上每個子載波上的雜訊分佈都可視為一個獨立且同分佈的高斯分佈,故傳送端之各路循環位移可藉由下式(14)來決定:The cyclic shifter 131 is the time domain signal of the digital subcarrier First subcarrier time domain signal Subcarrier time domain signal A cyclic shift is performed to generate the candidate displacement set W. In detail, in the case where the receiving channel is known, since the noise distribution on each subcarrier in the frequency domain can be regarded as an independent and identically distributed Gaussian distribution, the cyclic displacement of each channel of the transmitting end can be Equation (14) to decide:

其中,p為該領航訊號之數量;q {1,2,3},係指第1、2或3路;d q (k )為第q路之第k個領航訊號的位置;N為子載波時域訊號數量;R q X q 分別為第q路之接收訊號及領航訊號。Where p is the pilot signal Quantity; q {1,2,3} means the first, second or third way; d q ( k ) is the kth pilot signal of the qth road The position of N is the number of subcarrier time domain signals; R q and X q are the receiving signals and pilot signals of the qth channel, respectively.

然而,在所有可能情形均考慮的情況下,若Sq {0,1,...,N /4-1}且q {1,2,3},則接收端的判斷錯誤率(Decision Error Rate,DER)會很高。在本實施例中,挑選數個循環位移的量,使判斷錯誤率比原來小且低於一定值,若各路取的位移個數均為R,則S q ,q {1,2,3}係如下式(15)、(16)及(17)所示:However, if all possible situations are considered, if Sq {0,1,..., N /4-1} and q {1, 2, 3}, the decision error rate (DER) at the receiving end will be high. In this embodiment, the number of cyclic shifts is selected such that the error rate is smaller than the original and lower than a certain value. If the number of displacements taken by each path is R, then S q , q {1, 2, 3} are as shown in the following formulas (15), (16), and (17):

在本實施例中,為了使各路子載波時域訊號的判斷錯誤率降低,在選擇s q ,r ,q {1,2,3},r =0,1,2,...,R -1時,將各路循環位移對應到頻域上,在領航訊號所表示的相位旋轉,選擇符合條件的位移,如下式(18)所示:In this embodiment, in order to make each subcarrier time domain signal , and The judgment error rate is reduced, in the choice of s q , r , q {1,2,3}, r =0,1,2,..., R -1, the cyclic displacements are assigned to the frequency domain, in the pilot signal The phase rotation indicated, select the displacement that meets the condition, as shown in the following equation (18):

其中,q {1,2,3},r =0,1,2,...,R -1;1為任二位移在頻域星座點間之距離。取得各路循環位移後即可得知各路的位移集合C 1C 2C 3 ,分別如下式(19)、(20)及(21)所示:Where q {1,2,3}, r =0,1,2,..., R -1;1 is the distance between any two displacements in the frequency domain constellation points. After obtaining the cyclic displacements of each channel, the displacement sets C 1 , C 2 and C 3 of each path can be known, as shown in the following equations (19), (20) and (21):

假設一候選位移集合W為M個位移集合(S 0,1 ,S 0,2 ,S 0,3 )、(S 1,1 ,S 1,2 ,S 1,3 )、...及(S M -1,1 ,S M -1,2 ,S M -1,3 )所組成的集合,如下式(22)所示:Suppose a candidate set of displacements W is M sets of displacements ( S 0,1 , S 0,2 , S 0,3 ), ( S 1,1 , S 1,2 , S 1,3 ), ... and ( A set consisting of S M -1,1 , S M -1,2 , S M -1,3 ) is as shown in the following equation (22):

其中,M為候選訊號數量。由於各路的位移集合C 1C 2C 3 的元素數量均為R,故每個候選位移集合w 最多可以有R3 種不同的位移組合。在選擇性映射法架構中,可從R3 種組合組合中,任意選出其中M組為候選訊號的位移,為使選擇錯誤率進一步下降,可選出相互間差異性最大的位移作為候選位移。在此實施例中,由各路的位移集合C 1C 2C 3 中,選出M組元素不相交的S m,1 ,S m,2 ,S m,3 ,m =0,1,...,M -1,由於各路的位移集合C 1C 2C 3 的元素數量均為R時,最多可取出R個差異性最大的位移集合,為避免做完位移後的訊號之峰值對平均功率比值反而比原本訊號高,故此R個候選位移中需包含{0,0,0}。在取得該候選位移集合W中的M組元素後,如何決定候選位移之值,係如下式(23)所示:Where M is the number of candidate signals. Since the number of elements of the displacement sets C 1 , C 2 and C 3 of each path is R, each candidate displacement set w can have up to R 3 different displacement combinations. In the selective mapping method architecture, the displacement of the M group as the candidate signal can be arbitrarily selected from the R 3 combinations, and in order to further reduce the selection error rate, the displacement with the largest mutual difference can be selected as the candidate displacement. In this embodiment, from the displacement sets C 1 , C 2 and C 3 of the respective paths, S m,1 , S m,2 , S m,3 , m =0,1 of which the M elements do not intersect are selected. ..., M -1, since the number of elements of the displacement sets C 1 , C 2 and C 3 of each path is R, at most R the most diverse displacement sets can be taken out, in order to avoid the signal after the displacement is completed. The peak-to-average power ratio is higher than the original signal, so the R candidate displacements need to include {0, 0, 0}. After obtaining the M sets of elements in the candidate displacement set W, how to determine the value of the candidate displacement is as shown in the following equation (23):

其中,p為該領航訊號之數量;q {1,2,3},係指第一、二或三路;N為子載波數量;d q (k )為第q路之第k個領航訊號的位置;N為子載波時域訊號數量;R q X q 分別為第q路之接收訊號及領航訊號。Where p is the pilot signal Quantity; q {1,2,3} means the first, second or third way; N is the number of subcarriers; d q ( k ) is the kth pilot signal of the qth road The position of N is the number of subcarrier time domain signals; R q and X q are the receiving signals and pilot signals of the qth channel, respectively.

然而,欲獲得M組差異性最大的候選位移,各路位移集合C q ,q {1,2,3}至少需有M組元素,因此,在決定各路位移集合C q 時,需計算b個距離,如下式(24)所示:However, to obtain the candidate displacement with the largest difference in the M group, the displacement sets C q , q {1, 2, 3} must have at least M elements, so when determining the displacement set C q , calculate b distances, as shown in the following equation (24):

由上式(24)可知其運算複雜度很大,在決定各路位移集合C q 時,為減少其運算複雜度且不讓判斷錯誤率下降太多,因此,在決定該候選位移集合W時,可將M組元素之各該組元素數量減少,例如:將M組3個元素均不相同的候選位移,減為M組2個元素均不相同的候選位移。在此實施例中,M組元素之各該組元素數量為2,該候選位移集合W之任二候選位移之間有2個元素不同,在各路位移集合C q 中,僅需個元素即可產生M個符合條件之元素,因此,上式(24)係改寫為如下式(25)所示:It can be seen from the above formula (24) that the computational complexity is very large. When determining the displacement set C q of each path, the computational complexity is reduced and the judgment error rate is not lowered too much. Therefore, when determining the candidate displacement set W, The number of elements of the group of M elements can be reduced, for example, the candidate displacements in which the M elements are different from each other are reduced to the candidate displacements in which the M elements and the two elements are different. In this embodiment, the number of elements of the group of elements of the M group element is 2, and there are two elements between the candidate displacements of the candidate displacement set W. In each path displacement set C q , only Each element can produce M qualified elements, so the above equation (24) is rewritten as shown in the following equation (25):

在計算出各路位移集合C q ,q {1,2,3}中的個元素後,該候選位移集合W之計算係假設三個1×矩陣c 1c 2c 3 之元素分別為各路的位移集合C 1C 2C 3 中之值,如下式(26)、(27)及(28)所示:Calculating the set of displacements C q , q In {1,2,3} After the elements, the calculation of the candidate displacement set W assumes three 1× The elements of the matrices c 1 , c 2 and c 3 are the values of the displacement sets C 1 , C 2 and C 3 of the respective paths, as shown in the following equations (26), (27) and (28):

上式(28)可改寫為一個矩陣c 4 ,表示個1×列向量c 4,1c 4,2 、...及,且各該列向量c 4,1c 4,2 、...及係由上式(28)之c 3 向右做旋環位移,如下式(29)所示:The above formula (28) can be rewritten as one Matrix c 4 , indicating Column vector c 4,1 , c 4,2 ,... and And each of the column vectors c 4,1 , c 4,2 ,... The cyclone displacement is made to the right by c 3 of the above formula (28), as shown in the following equation (29):

各該列向量c 4,1c 4,2 、...及係依序排列成一個1×的矩陣c 5 ,如下式(30)所示:Each of the column vectors c 4,1 , c 4,2 ,... The system is arranged in a sequence of 1× The matrix c 5 is as shown in the following equation (30):

該矩陣c 1c 2c 5 可計算而得一個3×的矩陣c 6 ,如下式(31)所示:The matrices c 1 , c 2 and c 5 can be calculated to obtain a 3× The matrix c 6 is as shown in the following equation (31):

其中,為克羅內克積(Kronecker product)。該候選位移集合W中各該位移集合之值為該矩陣c 6 中各行之值,供該子載波時域訊號進行循環位移,以產生數路子載波時域訊號among them, For the Kronecker product. The value of each of the displacement sets in the candidate displacement set W is the value of each row in the matrix c 6 for the sub-carrier time domain signal Perform cyclic shift to generate digital subcarrier time domain signals .

該傳輸訊號選擇單元14係以該時域訊號x 及該候選訊號y ,計算並比較該時域訊號x 及該候選訊號y 之峰值對平均功率比值,選擇該具有最小峰值對平均功率比值之訊號並設為該傳輸訊號r 傳送。The transmission signal selection unit 14 calculates and compares the peak-to-average power ratio of the time domain signal x and the candidate signal y by using the time domain signal x and the candidate signal y , and selects the signal with the minimum peak-to-average power ratio. And set to transmit the signal r .

請參閱第3圖所示,其係本發明降低正交分頻多工系統之峰值對平均功率比值之方法的第一實施例之接收端架構示意圖。其中,一接收端裝置2係包含一快速傅立葉轉換器21、一通道估測單元22、一位移選擇單元23及一位移補償單元24,該通道估測單元22係耦接該快速傅立葉轉換器21、該位移選擇單元23及該位移補償單元24,該位移選擇單元23係耦接該通道估測單元22及該位移補償單元24。Referring to FIG. 3, it is a schematic diagram of the receiving end architecture of the first embodiment of the method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system according to the present invention. The receiver device 2 includes a fast Fourier transformer 21, a channel estimation unit 22, a displacement selection unit 23, and a displacement compensation unit 24. The channel estimation unit 22 is coupled to the fast Fourier transformer 21 The displacement selecting unit 23 and the displacement compensating unit 24 are coupled to the channel estimating unit 22 and the displacement compensating unit 24.

該快速傅立葉轉換器21係輸入該傳輸訊號r ,進行快速傅立葉轉換(Fast Fourier Transform,FFT),將該傳輸訊號r 轉為一頻域訊號R ,如下式(32)所示:The fast Fourier transformer 21 inputs the transmission signal r , performs Fast Fourier Transform (FFT), and converts the transmission signal r into a frequency domain signal R , as shown in the following formula (32):

;該通道估測單元22係輸入該頻域訊號R ,以該領航訊號取得一頻域訊號;該位移選擇單元23依據上式(23)取得該位移集合;該位移補償單元24係根據該位移集合及該通道估測單元22輸出之訊號,計算出一還原訊號The channel estimation unit 22 inputs the frequency domain signal R to the pilot signal Get a frequency domain signal The displacement selecting unit 23 obtains the displacement set according to the above formula (23) The displacement compensation unit 24 is based on the displacement set And the signal output by the channel estimation unit 22 , calculate a restore signal .

請參閱第4圖所示,其係本發明降低正交分頻多工系統之峰值對平均功率比值之方法的第一實施例之流程圖,其步驟係包含一領航訊號放置步驟S1、一訊號轉換步驟S2、一候選訊號產生步驟S3及一傳輸訊號選擇步驟S4。該領航訊號放置步驟S1係以第一個子載波位置L 0 為起點,將數個領航訊號以一等間隔放置於一頻域訊號X 中,該頻域訊號X 係包含數路子載波頻域訊號,U為2的冪次,且U≧2(僅限於2或4),該數路子載波頻域訊號係具有數個子載波及其位置;該訊號轉換步驟S2係將該頻域訊號X 轉成一時域訊號x 並濾出該數路子載波時域訊號,U為2的冪次,且U≧2(僅限於2或4);該循環位移步驟S3係輸入該數路子載波時域訊號,產生一候選位移集合(Candidate Shift Set)W,供該數路子載波時域訊號之子載波時域訊號以外的子載波時域訊號進行循環位移(Cyclic Shift),再與第一路該子載波時域訊號相加,以產生數個候選訊號(Candidate Signals)y ;該傳輸訊號選擇步驟S4係以該時域訊號x 及該候選訊號y ,選擇一具有最小峰值對平均功率比值(Peak-to-Average Power Ratio,PAPR)之候選訊號並設為一傳輸訊號r 傳送。在此實施例中,U係設為4。Referring to FIG. 4, it is a flowchart of a first embodiment of a method for reducing a peak-to-average power ratio of an orthogonal frequency division multiplexing system according to the present invention, the steps of which include a pilot signal placing step S1 and a signal. The converting step S2, a candidate signal generating step S3 and a transmission signal selecting step S4. The pilot signal placing step S1 takes a first subcarrier position L 0 as a starting point and sets a number of pilot signals. Placed in a frequency domain signal X at equal intervals, the frequency domain signal X includes several subcarrier frequency domain signals , U is a power of 2, and U ≧ 2 (limited to 2 or 4), the number of subcarrier frequency domain signals Has several subcarriers and their locations The signal conversion step S2 converts the frequency domain signal X into a time domain signal x and filters out the digital subcarrier time domain signal , U is a power of 2, and U ≧ 2 (limited to 2 or 4); the cyclic shift step S3 is input to the digital subcarrier time domain signal , generating a candidate displacement set (Candidate Shift Set) W, for the number of subcarrier time domain signals Subcarrier time domain signal Subcarrier time domain signal Cyclic Shift, and then the first subcarrier time domain signal Adding to generate a plurality of candidate signals (Candidate Signals) y ; the transmission signal selection step S4 selects a minimum peak-to-average power ratio with the time domain signal x and the candidate signal y (Peak-to-Average Power The candidate signal of Ratio, PAPR) is set to be transmitted by a transmission signal r . In this embodiment, the U system is set to 4.

該領航訊號放置步驟S1係於該四路頻域訊號中,以第一個子載波位置為起點,等間隔放置該領航訊號。詳言之,由於時域訊號的循環位移等效於在頻域上的子載波訊號累進旋轉角度效果的相位旋轉之特性,如上式(5)及(6)所示,假設領航訊號之數量為p,該子載波頻域訊號之子載波數量為N,第一個領航訊號P 0 放置於第一個子載波位置L 0 ,其餘領航訊號P 1P 2 、...、P p -1 分別以一等間隔放置其餘子載波位置,其中,該等間隔為N /p +1,且p 2 N 。請再參閱第2圖所示,其中,該領航訊號之數量p為4,該4路子載波頻域訊號之子載波數量N為16,第一個領航訊號P 0 放置於第一個子載波位置L 0 ,第2個領航訊號P 1 放置於第6個子載波位置L 5 ,依此類推。以確保各該領航訊號間係為等間隔分佈且每一路之領航訊號數量相同並等間隔,其中同一路之領航訊號係以4×(N/p+1)個子載波位置等間隔放置,若以所有子載波頻域訊號的觀點來看,則為各該領航訊號係以(N/p+1)個子載波位置等間隔放置。The pilot signal placing step S1 is based on the four-way frequency domain signal , , and In the first subcarrier position As the starting point, the pilot signal is placed at equal intervals. . In detail, since the cyclic shift of the time domain signal is equivalent to the phase rotation of the effect of the progressive rotation angle of the subcarrier signal in the frequency domain, as shown in the above equations (5) and (6), the pilot signal is assumed. The number is p, the subcarrier frequency domain signal The number of subcarriers is N, the first pilot signal P 0 is placed at the first subcarrier position L 0 , and the remaining pilot signals P 1 , P 2 , ..., P p -1 respectively place the remaining subcarriers at equal intervals. position Where the intervals are N / p +1 and p 2 N. Please refer to Figure 2 again, where the pilot signal The number p is 4, and the 4-channel subcarrier frequency domain signal The number of subcarriers N is 16, the first pilot signal P 0 is placed at the first subcarrier position L 0 , the second pilot signal P 1 is placed at the 6th subcarrier position L 5 , and so on. To ensure that each pilot signal The interval is equally spaced and the pilot signal of each channel The same number and equal intervals, the pilot signal of the same road Is placed at equal intervals of 4×(N/p+1) subcarrier positions. If all subcarriers are used in the frequency domain signal, then these pilot signals are used. They are placed at equal intervals of (N/p+1) subcarrier positions.

該訊號轉換步驟S2係將該頻域訊號X 轉成該時域訊號x ,並濾出該數路子載波時域訊號。詳言之,該頻域訊號X 係進行反快速傅立葉轉換,以產生該時域訊號x ,如上式(7)所示。由於訊號在頻域上等間隔分離,可以等效將時域訊號與一個序列作環形旋積運算,如上式所示。因此,該時域訊號x 與一濾波序列作環形旋積運算,可濾出該子載波時域訊號,如上式(9)至(13)所示。The signal conversion step S2 converts the frequency domain signal X into the time domain signal x , and filters out the digital subcarrier time domain signal. . In detail, the frequency domain signal X performs an inverse fast Fourier transform to generate the time domain signal x as shown in the above equation (7). Since the signals are equally spaced in the frequency domain, the time domain signal can be equivalently circularly convoluted with a sequence, as shown in the above equation. Therefore, the time domain signal x and a filtering sequence As a circular convolution operation, the subcarrier time domain signal can be filtered out , as shown in the above formulas (9) to (13).

該候選訊號產生步驟S3係輸入該數路子載波時域訊號,並產生該候選位移集合W,供數路子載波時域訊號之第一路子載波時域訊號以外的該子載波時域訊號進行循環位移,產生數路循環位移子載波時域訊號與該第一路子載波時域訊號相加,產生該候選訊號yThe candidate signal generating step S3 is to input the digital subcarrier time domain signal And generating the candidate displacement set W for the number of subcarrier time domain signals First subcarrier time domain signal Time domain signal outside the subcarrier Cyclic displacement, generating several cyclic shift subcarrier time domain signals Time domain signal with the first subcarrier Adding, the candidate signal y is generated.

詳言之,在接收端通道已知的情形下,由於頻域上每個子載波上的雜訊分佈都可視為一個獨立且同分佈的高斯分佈,故傳送端之各路循環位移可藉由上式(14)來決定。然而,在所有可能情形均考慮的情況下,若S q {0,1,...,N /4-1}且q {1,2,3},則接收端的判斷錯誤率(Decision Error Rate,DER)會很高。在本實施例中,挑選數個循環位移的量,使判斷錯誤率比原來小且低於一定值,若各路取的位移個數均為R,則S q ,q {1,2,3}係如上式(15)、(16)及(17)所示。在本實施例中,為了使各路子載波時域訊號的判斷錯誤率降低,在選擇s q,r ,q {1,2,3},r =0,1,2,...,R -1時,將各路循環位移對應到頻域上,在領航訊號所表示的相位旋轉,選擇符合條件的位移,如上式(18)所示。取得各路循環位移後即可得知各路的位移集合C 1C 2C 3 ,分別如下式(19)、(20)及(21)所示。In detail, in the case where the receiving channel is known, since the noise distribution on each subcarrier in the frequency domain can be regarded as an independent and identically distributed Gaussian distribution, the cyclic displacement of each channel of the transmitting end can be obtained by Determine by equation (14). However, if all possible situations are considered, if S q {0,1,..., N /4-1} and q {1, 2, 3}, the decision error rate (DER) at the receiving end will be high. In this embodiment, the number of cyclic shifts is selected such that the error rate is smaller than the original and lower than a certain value. If the number of displacements taken by each path is R, then S q , q {1, 2, 3} is as shown in the above formulas (15), (16), and (17). In this embodiment, in order to make each subcarrier time domain signal , and The judgment error rate is reduced, in selecting s q,r , q {1,2,3}, r =0,1,2,..., R -1, the cyclic displacements are assigned to the frequency domain, in the pilot signal The phase rotation indicated is selected to match the conditional displacement as shown in the above equation (18). The displacement sets C 1 , C 2 and C 3 of the respective paths can be obtained by obtaining the cyclic displacements of the respective paths, as shown in the following equations (19), (20) and (21).

假設一候選位移集合W為M個位移集合(S 0,1 ,S 0,2 ,S 0,3 )、(S 1,1 ,S 1,2 ,S 1,3 )、...及(S M -1,1 ,S M -1,2 ,S M -1,3 )所組成的集合,如上式(22)所示。由於各路的位移集合C 1C 2C 3 的元素數量均為R,故每個候選位移集合w 最多可以有R3 種不同的位移組合。在選擇性映射法架構中,可從R3 種組合組合中,任意選出其中M組為候選訊號的位移,為使選擇錯誤率進一步下降,可選出相互間差異性最大的位移作為候選位移。在此實施例中,由各路的位移集合C 1C 2C 3 中,選出M組元素不相交的S m ,1 ,S m ,2 ,S m ,3 ,m =0,1,...,M -1,由於各路的位移集合C 1C 2C 3 的元素數量均為R時,最多可取出R個差異性最大的位移集合,為避免做完位移後的訊號之峰值對平均功率比值反而比原本訊號高,故此R個候選位移中需包含{0,0,0}。在取得該候選位移集合W中的M組元素後,如何決定候選位移之值,係如上式(23)所示。Suppose a candidate set of displacements W is M sets of displacements ( S 0,1 , S 0,2 , S 0,3 ), ( S 1,1 , S 1,2 , S 1,3 ), ... and ( A set consisting of S M -1,1 , S M -1,2 , S M -1,3 ) is as shown in the above formula (22). Since the number of elements of the displacement sets C 1 , C 2 and C 3 of each path is R, each candidate displacement set w can have up to R 3 different displacement combinations. In the selective mapping method architecture, the displacement of the M group as the candidate signal can be arbitrarily selected from the R 3 combinations, and in order to further reduce the selection error rate, the displacement with the largest mutual difference can be selected as the candidate displacement. In this embodiment, from the displacement sets C 1 , C 2 and C 3 of the respective paths, S m , 1 , S m , 2 , S m , 3 , m =0, 1 in which the M elements do not intersect are selected. ..., M -1, since the number of elements of the displacement sets C 1 , C 2 and C 3 of each path is R, at most R the most diverse displacement sets can be taken out, in order to avoid the signal after the displacement is completed. The peak-to-average power ratio is higher than the original signal, so the R candidate displacements need to include {0, 0, 0}. After obtaining the M sets of elements in the candidate displacement set W, how to determine the value of the candidate displacement is as shown in the above equation (23).

然而,欲獲得M組差異性最大的候選位移,各路位移集合C q ,q {1,2,3}至少需有M組元素,因此,在決定各路位移集合C q 時,需計算b個距離,如上式(24)所示。由上式(24)可知其運算複雜度很大,在決定各路位移集合C q 時,為減少其運算複雜度且不讓判斷錯誤率下降太多,因此,在決定該候選位移集合W時,可將M組元素之各該組元素數量減少,例如:將M組3個元素均不相同的候選位移,減為M組2個元素均不相同的候選位移。在此實施例中,M組元素之各該組元素數量為2,該候選位移集合W之任二候選位移之間有2個元素不同,在各路位移集合C q 中,僅需個元素即可產生M個符合條件之元素,因此,上式(24)係改寫為如上式(25)所示。However, to obtain the candidate displacement with the largest difference in the M group, the displacement sets C q , q {1, 2, 3} requires at least M sets of elements. Therefore, when determining the displacement set C q of each path, b distances need to be calculated, as shown in the above equation (24). It can be seen from the above formula (24) that the computational complexity is very large. When determining the displacement set C q of each path, the computational complexity is reduced and the judgment error rate is not lowered too much. Therefore, when determining the candidate displacement set W, The number of elements of the group of M elements can be reduced, for example, the candidate displacements in which the M elements are different from each other are reduced to the candidate displacements in which the M elements and the two elements are different. In this embodiment, the number of elements of the group of elements of the M group element is 2, and there are two elements between the candidate displacements of the candidate displacement set W. In each path displacement set C q , only The elements can generate M qualified elements, so the above formula (24) is rewritten as shown in the above formula (25).

在計算出各路位移集合C q ,q {1,2,3}中的個元素後,該候選位移集合W之計算係假設三個1×矩陣c 1c 2c 3 之元素分別為各路的位移集合C 1C 2C 3 中之值,如上式(26)、(27)及(28)所示。上式(28)可改寫為一個矩陣c 4 ,表示個1×列向量c 4,1c 4,2 、...及,且各該列向量c 4,1c 4,2 、...及係由上式(28)之c 3 向右做旋環位移,如上式(29)所示。Calculating the set of displacements C q , q In {1,2,3} After the elements, the calculation of the candidate displacement set W assumes three 1× The elements of the matrices c 1 , c 2 and c 3 are the values of the displacement sets C 1 , C 2 and C 3 of the respective paths, as shown in the above equations (26), (27) and (28). The above formula (28) can be rewritten as one Matrix c 4 , indicating Column vector c 4,1 , c 4,2 ,... and And each of the column vectors c 4,1 , c 4,2 ,... The cyclone shift is made to the right by c 3 of the above formula (28), as shown in the above formula (29).

各該列向量c 4,1c 4,2 、...及係依序排列成一個1×的矩陣c 5 ,如上式(30)所示。該矩陣c 1c 2c 5 可計算而得一個3×的矩陣c 6 ,如上式(31)所示。該候選位移集合W中各該位移集合之值為該矩陣c 6 中各行之值,供該子載波時域訊號進行循環位移,以產生數路子載波時域訊號Each of the column vectors c 4,1 , c 4,2 ,... The system is arranged in a sequence of 1× The matrix c 5 is as shown in the above formula (30). The matrices c 1 , c 2 and c 5 can be calculated to obtain a 3× The matrix c 6 is as shown in the above formula (31). The value of each of the displacement sets in the candidate displacement set W is the value of each row in the matrix c 6 for the sub-carrier time domain signal Perform cyclic shift to generate digital subcarrier time domain signals .

該傳輸訊號選擇步驟S4係以該時域訊號x 及該候選訊號y ,計算並比較該時域訊號x 及該候選訊號y 之峰值對平均功率比值,選擇該具有最小峰值對平均功率比值之訊號並設為該傳輸訊號r 傳送。The transmission signal selecting step S4 lines to the time domain signal x and the candidate signal y, calculated and compared, and the peak value of the time domain signal x to the candidate signal y is on the average power ratio, select which has a minimum peak signal-to-average power ratio of And set to transmit the signal r .

藉此,本發明利用時域訊號的循環位移,係等同於在頻域上的子載波訊號呈現累進旋轉角度效果的相位旋轉之特性,在頻域上以領航訊號估出循環位移值,可在領航訊號輔助之正交分頻多工系統中,以不傳旁帶資訊方式降低峰值對平均功率比值,其判斷錯誤率低。Therefore, the present invention utilizes the cyclic shift of the time domain signal, which is equivalent to the phase rotation of the subcarrier signal in the frequency domain exhibiting a progressive rotation angle effect, and estimates the cyclic displacement value by using the pilot signal in the frequency domain. In the pilot-assisted orthogonal frequency division multiplexing system, the peak-to-average power ratio is reduced by not transmitting sideband information, and the judgment error rate is low.

此外,請再參閱第1圖所示,由於該第一路頻域訊號在本發明第一實施例中,係不做循環位移就傳送,故該第一路頻域訊號之領航訊號,不會受到時域上循環位移之影響,故可藉由Zadoff-Chu序列的特性,將訊號在位移之前先分群,讓同一群的位移在接收端解調時,進一步降低判斷錯誤率。In addition, please refer to Figure 1 again, because the first frequency domain signal In the first embodiment of the present invention, the transmission is performed without cyclic shift, so the first frequency domain signal Pilot signal It is not affected by the cyclic shift in the time domain. Therefore, the characteristics of the Zadoff-Chu sequence can be used to group the signals before the displacement, so that the displacement of the same group is demodulated at the receiving end, and the error rate is further reduced.

請參照第5圖所示,其係本發明降低正交分頻多工系統之峰值對平均功率比值之方法的第二實施例之傳送端架構示意圖,該第二實施例與該第一實施例相異之處係如後所述。其中,一傳送端裝置3係包含:一領航訊號放置單元31、一訊號轉換單元32、數個候選訊號產生單元33及一傳輸訊號選擇單元34。該領航訊號放置單元31係耦接該訊號轉換單元32,該數個候選訊號產生單元33係耦接該訊號轉換單元32及該傳輸訊號選擇單元34。Referring to FIG. 5, it is a schematic diagram of a transmission end architecture of a second embodiment of a method for reducing a peak-to-average power ratio of an orthogonal frequency division multiplexing system according to the present invention. The second embodiment and the first embodiment The differences are as described later. The transmitting device 3 includes a pilot signal placing unit 31, a signal converting unit 32, a plurality of candidate signal generating units 33, and a transmission signal selecting unit 34. The pilot signal placement unit 31 is coupled to the signal conversion unit 32. The plurality of candidate signal generation units 33 are coupled to the signal conversion unit 32 and the transmission signal selection unit 34.

其中,該領航訊號放置單元31係將數個領航訊號等間隔放置於一頻域訊號X 中,該頻域訊號X 係包含數路子載波頻域訊號,U為2的冪次,且U≧2(即2、4、8、32、...,依此類推),該子載波頻域訊號係具有數個子載波及其位置;該訊號轉換單元32係將該頻域訊號X 轉成一時域訊號x 並濾出數路子載波時域訊號,U為2的冪次,且U≧2(即2、4、8、32、...,依此類推);各該候選訊號產生單元33係輸入該數路子載波時域訊號,以一Zadoff-Chu序列與該數路子載波時域訊號之第一路子載波時域訊號產生一奇偶分群之Zadoff-Chu子載波時域訊號,並以一候選位移集合W與該數路子載波時域訊號之第一路子載波時域訊號以外的子載波時域訊號進行奇偶分群循環位移,產生數路循環位移子載波時域訊號,該Zadoff-Chu子載波時域訊號與該循環位移子載波時域訊號相加,以產生一候選訊號,K為分群之數量;該傳輸訊號選擇單元34係以該候選訊號,選擇一具有最小峰值對平均功率比值之訊號並設為一傳輸訊號r 傳送。藉此,可在領航訊號輔助之正交分頻多工系統中,以不傳旁帶資訊方式降低峰值對平均功率比值。在此實施例中,U係設為4。Wherein, the pilot signal placement unit 31 is to have several pilot signals Equally placed in a frequency domain signal X , the frequency domain signal X includes several subcarrier frequency domain signals , U is a power of 2, and U≧2 (ie, 2, 4, 8, 32, ..., and so on), the subcarrier frequency domain signal Has several subcarriers and their locations The signal conversion unit 32 converts the frequency domain signal X into a time domain signal x and filters out the number of subcarrier time domain signals. , U is a power of 2, and U ≧ 2 (ie, 2, 4, 8, 32, ..., and so on); each of the candidate signal generating units 33 inputs the digital subcarrier time domain signal To a Zadoff-Chu sequence Time domain signal with the number of subcarriers First subcarrier time domain signal Generating a parity packet of Zadoff-Chu subcarrier time domain signal And a candidate displacement set W and the number of subcarrier time domain signals First subcarrier time domain signal Subcarrier time domain signal Perform parity and group cyclic shift to generate several cyclic shift subcarrier time domain signals , the Zadoff-Chu subcarrier time domain signal Time domain signal with the cyclic shift subcarrier Add together to generate a candidate signal , K is the number of groups; the transmission signal selection unit 34 is the candidate signal Select a signal with a minimum peak-to-average power ratio and set it as a transmission signal r . In this way, the peak-to-average power ratio can be reduced in the pilot signal-assisted orthogonal frequency division multiplexing system without passing the sideband information. In this embodiment, the U system is set to 4.

該領航訊號放置單元31係於四路頻域訊號中,以第一個子載波位置L 0 為起點,以一等間隔放置該領航訊號,其中,該領航訊號放置於該第一路頻域訊號之值為0。詳言之,假設該領航訊號之數量為p,子載波頻域訊號數量為N,第一個領航訊號P 0 放置於第一個子載波位置L 0 ,其餘領航訊號P 1P 2 、...、P p -1 分別以一等間隔放置於其餘子載波位置,其中,該等間隔為N /p +1,且p 2 N 。由於該領航訊號放置於該第一路頻域訊號的各該子載波位置之值為0,供該頻域訊號轉為時域訊號時,於該領航訊號放置之位置填入該Zadoff-Chu序列。請參閱第6圖所示,其中,該領航訊號之數量p為4,該四路子載波頻域訊號之子載波數量N為16,該第一個領航訊號P 0 =0放置於該第一個子載波位置L 0 ,第2個領航訊號P 1 放置於第6個子載波位置L 5 ,依此類推。The pilot signal placement unit 31 is connected to four frequency domain signals. , , and The pilot signal is placed at equal intervals with the first subcarrier position L 0 as a starting point , where the pilot signal Placed in the first frequency domain signal The value is 0. In detail, assume the pilot signal The number is p, the number of subcarrier frequency domain signals is N, the first pilot signal P 0 is placed at the first subcarrier position L 0 , and the other pilot signals P 1 , P 2 , ..., P p -1 respectively Placed at the same subcarrier position at equal intervals Where the intervals are N / p +1 and p 2 N. Due to the pilot signal Placed in the first frequency domain signal Each of the subcarrier positions has a value of 0 for the frequency domain signal When changing to a time domain signal, the pilot signal Place the position in the Zadoff-Chu sequence . Please refer to Figure 6, where the pilot signal The number p is 4, and the four-channel subcarrier frequency domain signal The number of subcarriers N is 16, the first pilot signal P 0 =0 is placed at the first subcarrier position L 0 , the second pilot signal P 1 is placed at the 6th subcarrier position L 5 , and so on.

該訊號轉換單元32係設有一反快速傅立葉轉換器321及一濾波器322,該反快速傅立葉轉換器321係耦接該濾波器322。該反快速傅立葉轉換器321係將該頻域訊號X 轉成該時域訊號x ,並傳送至該濾波器322濾出數路子載波時域訊號The signal conversion unit 32 is provided with an inverse fast Fourier transformer 321 and a filter 322. The inverse fast Fourier transformer 321 is coupled to the filter 322. The inverse fast Fourier converter 321 converts the frequency domain signal X into the time domain signal x , and transmits the signal to the filter 322 to filter the digital subcarrier time domain signal. .

各該候選訊號產生單元33係設有一Zadoff-Chu序列產生器331、一第一加法器332、一循環位移器333及一第二加法器334,該Zadoff-Chu序列產生器331係耦接該第一加法器332,該第二加法器334係耦接該第一加法器332及該循環位移器333。該候選訊號產生單元33係輸入該數路子載波時域訊號,該Zadoff-Chu序列產生器331係產生該Zadoff-Chu序列;該第一加法器332係將該數路子載波時域訊號之第一路子載波時域訊號及該Zadoff-Chu序列相加並輸出該奇偶分群之Zadoff-Chu子載波時域訊號;該循環位移器333係以奇偶分群方式產生該候選位移集合W,以該數路子載波時域訊號之第一路子載波時域訊號以外的子載波時域訊號與該候選位移集合W進行奇偶分群循環位移,產生該循環位移子載波時域訊號該第二加法器334係將該Zadoff-Chu子載波時域訊號及該循環位移子載波時域訊號相加,產生該候選訊號。其中,該Zadoff-Chu序列之碼長N zc 為p/4,如下式(33)所示:Each of the candidate signal generating units 33 is provided with a Zadoff-Chu sequence generator 331, a first adder 332, a cyclic shifter 333 and a second adder 334. The Zadoff-Chu sequence generator 331 is coupled to the The first adder 332 is coupled to the first adder 332 and the cyclic shifter 333. The candidate signal generating unit 33 inputs the digital subcarrier time domain signal The Zadoff-Chu sequence generator 331 generates the Zadoff-Chu sequence The first adder 332 is the time domain signal of the digital subcarrier First subcarrier time domain signal And the Zadoff-Chu sequence Adding and outputting the Zadoff-Chu subcarrier time domain signal of the parity group The cyclic shifter 333 generates the candidate displacement set W in a parity group manner, and uses the digital subcarrier time domain signal First subcarrier time domain signal Subcarrier time domain signal Performing a parity group cyclic shift with the candidate displacement set W to generate the cyclic shift subcarrier time domain signal The second adder 334 is a time domain signal of the Zadoff-Chu subcarrier. And the cyclic shift subcarrier time domain signal Add together to generate the candidate signal . Where the Zadoff-Chu sequence The code length N zc is p/4, as shown in the following equation (33):

其中,N zc 為該Zadoff-Chu序列之碼長;u為該Zadoff-Chu序列之根索引(Root Index)。Where N zc is the Zadoff-Chu sequence Code length; u is the Zadoff-Chu sequence The root index (Root Index).

由於此N/4個點若在頻域上靠得太近將造成訊號判斷區間(Decision Region)太小,星座點之間的最小距離變小讓錯誤率大增,而使判斷錯誤率過高。因此,若將N/4個循環位移做奇偶分群,則可得一偶數循環位移集合C e 及一奇數循環位移集合C o ,分別如下式(34)及(35)所示:Since the N/4 points are too close in the frequency domain, the signal determination interval (Decision Region) is too small, and the minimum distance between the constellation points becomes small, which increases the error rate and makes the judgment error rate too high. . Therefore, if N/4 cyclic shifts are used for parity grouping, an even cyclic shift set C e and an odd cyclic shift set C o can be obtained, as shown in the following equations (34) and (35):

C e ={0,2,4,...,N /4-2} (34) C e ={0,2,4,..., N /4-2} (34)

C o ={1,3,5,...,N /4-1} (35) C o ={1,3,5,..., N /4-1} (35)

因此,S 1 ,S 2 ,S 3 {C o ,C e }之排列組合共有23 種,如下式(36)及(37)所示:Therefore, S 1 , S 2 , S 3 There are a total of 23 combinations of { C o , C e }, as shown in the following equations (36) and (37):

其中,在傳送端第一路之領航訊號需有8組碼長為p/4的Zadoff-Chu序列,以表示此8種組合。藉此,該Zadoff-Chu序列系放置於該第一路之領航訊號位置,以代表第2、3及4路訊號之循環位移係屬於該偶數循環位移集合C e 或該奇數循環位移集合C o Among them, the pilot signal of the first road at the transmitting end There are 8 sets of Zadoff-Chu sequences with a code length of p/4 to represent these 8 combinations. Thereby, the Zadoff-Chu sequence is placed on the pilot signal of the first road. The position, the cyclic displacement representing the 2nd, 3rd, and 4th signals belongs to the even cyclic displacement set C e or the odd cyclic displacement set C o .

由於產生一個Zadoff-Chu序列需有其碼長N zc 及其根索引u,當該碼長N zc 及該根索引u互質時,則所產生之Zadoff-Chu序列具有完美的週期性自相關及週期性互相關低之特性。因此,子載波數量N為2的冪次;子載波數量N必須被該領航訊號之數量p整除;p為4的倍數且p/4亦為2的冪次,以使各路之領航訊號之數量一致。其中,若該Zadoff-Chu序列之碼長N zc 為p/4,則該Zadoff-Chu序列u具有p/8個奇數的根索引與該碼長N zc 互質,此p/8個Zadoff-Chu序列藉由循環位移可得p/4個具有完美的週期性自相關及週期性互相關低之Zadoff-Chu序列,因此,若碼長N zc 為p/4,則該Zadoff-Chu序列之數量nzc係如下式(38)所示:Since a Zadoff-Chu sequence needs to have its code length N zc and its root index u, when the code length N zc and the root index u are mutually prime, the generated Zadoff-Chu sequence has a perfect periodic autocorrelation. And low periodic cross-correlation. Therefore, the number of subcarriers N is a power of 2; the number of subcarriers N must be used by the pilot signal The number p is divisible; p is a multiple of 4 and p/4 is also a power of 2 to make the pilot signals of each route The number is the same. Wherein, if the code length N zc of the Zadoff-Chu sequence is p/4, the root index of the Zadoff-Chu sequence u having p/8 odd numbers is mutually prime with the code length N zc , and the p/8 Zadoff- The Chu sequence can obtain p/4 Zadoff-Chu sequences with perfect periodic autocorrelation and periodic cross-correlation by cyclic shift. Therefore, if the code length N zc is p/4, the Zadoff-Chu sequence The quantity nzc is as shown in the following equation (38):

其中,在奇偶分群的情形下,該領航訊號之數量p≧16。Wherein, in the case of parity grouping, the pilot signal The number is p≧16.

藉此,請再參閱第5圖所示,各該候選訊號產生單元33係藉由該Zadoff-Chu序列產生器331係產生系統已知且位置在第一路領航訊號P 0 之Zadoff-Chu序列時域訊號,由該第一加法器332在時域上將該數路子載波時域訊號之第一路子載波時域訊號及該Zadoff-Chu序列相加並輸出該奇偶分群之Zadoff-Chu子載波時域訊號;該循環位移器333係以奇偶分群方式產生該候選位移集合W,在產生該奇偶分群之Zadoff-Chu子載波時域訊號後,將該數路子載波時域訊號之第一路子載波時域訊號以外的子載波時域訊號以該候選位移集合W進行(N/4)3 種可能之奇偶分群循環位移,產生該循環位移子載波時域訊號;該第二加法器334係將該Zadoff-Chu子載波時域訊號及該循環位移子載波時域訊號相加,產生該候選訊號,再由該傳輸訊號選擇單元34係以該候選訊號,選擇一具有最小峰值對平均功率比值之訊號並設為一傳輸訊號r 傳送。Therefore, as shown in FIG. 5, each of the candidate signal generating units 33 generates a Zadoff-Chu sequence that is known by the system and is located at the first pilot signal P 0 by the Zadoff-Chu sequence generator 331. Time domain signal, by the first adder 332, the digital subcarrier time domain signal in the time domain First subcarrier time domain signal And the Zadoff-Chu sequence Adding and outputting the Zadoff-Chu subcarrier time domain signal of the parity group The cyclic shifter 333 generates the candidate displacement set W in a parity group manner, and generates a time domain signal of the Zadoff-Chu subcarrier in the parity group. Then, the digital subcarrier time domain signal First subcarrier time domain signal Subcarrier time domain signal Performing (N/4) three possible parity group cyclic shifts with the candidate displacement set W, generating the cyclic shift subcarrier time domain signal The second adder 334 is the Zadoff-Chu subcarrier time domain signal And the cyclic shift subcarrier time domain signal Add together to generate the candidate signal And the transmission signal selection unit 34 is coupled to the candidate signal. Select a signal with a minimum peak-to-average power ratio and set it as a transmission signal r .

請參閱第7圖所示,其係本發明降低正交分頻多工系統之峰值對平均功率比值之方法的第二實施例之接收端架構示意圖。其中,一接收端裝置4係包含一快速傅立葉轉換器41、一通道估測單元42、一相關性偵測單元43、一位移選擇單元44及一位移補償單元45,該通道估測單元42係耦接該快速傅立葉轉換器41、該相關性偵測單元43、該位移選擇單元44及該位移補償單元45,該位移選擇單元23係耦接該相關性偵測單元43及該位移補償單元45。Please refer to FIG. 7, which is a schematic diagram of the receiving end architecture of the second embodiment of the method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system according to the present invention. The receiving device 4 includes a fast Fourier converter 41, a channel estimating unit 42, a correlation detecting unit 43, a displacement selecting unit 44, and a displacement compensating unit 45. The channel estimating unit 42 is The fast Fourier transformer 41, the correlation detecting unit 43, the displacement selecting unit 44, and the displacement compensating unit 45 are coupled to the correlation detecting unit 43 and the displacement compensating unit 45. .

該快速傅立葉轉換器41係輸入該傳輸訊號r ,進行快速傅立葉轉換,將該傳輸訊號r 轉為一頻域訊號R 。該通道估測單元42係輸入該頻域訊號R ,以該領航訊號取得一頻域訊號。該相關性偵測單元43係判斷第一路訊號之Zadoff-Chu序列所代表之分群訊號係屬於(),k =0,1,...,7中的哪一種奇偶分群組合之Zadoff-Chu序列,如下式(39)所示:The fast Fourier transformer 41 inputs the transmission signal r , performs fast Fourier transform, and converts the transmission signal r into a frequency domain signal R. The channel estimation unit 42 inputs the frequency domain signal R to the pilot signal. Get a frequency domain signal . The correlation detecting unit 43 determines the Zadoff-Chu sequence of the first path signal. The sub-group signal represented by ), which of the odd-even group combinations of k =0, 1, ..., 7 is Zadoff-Chu sequence , as shown in the following formula (39):

其中,)為解調之Zadoff-Chu序列;p為該領航訊號之數量;m為每一路第m個領航訊號;d (m )為第m個領航訊號的位置;Z ( k ) * 為第一路訊號之Zadoff-Chu序列取共厄;為補完通道的第一路接收訊號訊號。該位移選擇單元44係以該相關性偵測單元43輸出之後,即可利用對應到每一路的訊號判斷區間解調出每一路的位移,如下式(40)所示:among them, ) is a Zadoff-Chu sequence for demodulation; p is the pilot signal The number; m is the mth pilot signal for each path; d ( m ) is the position of the mth pilot signal; Z ( k ) * is the Zadoff-Chu sequence of the first signal Take a total of The signal signal is received for the first channel of the completion channel. The displacement selecting unit 44 outputs the correlation detecting unit 43 After that, you can use The signal judgment interval corresponding to each channel demodulates the displacement of each path, as shown in the following formula (40):

其中,p為該領航訊號之數量;N為子載波數量;m為每一路的第m個領航訊號;d q (m )為第q路中第m個領航訊號的位置;R q 為第q路的接收訊號;X q 為第q路的領航訊號;H q 為第q路通道的頻率響應。該位移補償單元24係根據該位移集合及該通道估測單元42輸出之訊號,計算出一還原訊號Where p is the pilot signal Number; N is the number of subcarriers; m is the mth pilot signal of each path; d q ( m ) is the position of the mth pilot signal in the qth path; R q is the receiving signal of the qth channel; X q It is the pilot signal of the qth road; H q is the frequency response of the qth channel. The displacement compensation unit 24 is based on the displacement set And the signal output by the channel estimation unit 42 , calculate a restore signal .

請參閱第8圖所示,其係本發明降低正交分頻多工系統之峰值對平均功率比值之方法的第二實施例之流程圖,其步驟係包含一領航訊號放置步驟S1’、一訊號轉換步驟S2、一分群候選訊號產生步驟S3’、一傳輸訊號選擇步驟S4及一分群序列產生步驟S5,其中,該分群序列產生步驟S5係於進行分群候選訊號產生步驟S3’前之任何時間進行。該領航訊號放置步驟S1’係以第一個子載波位置L 0 為起點,將數個領航訊號以一等間隔放置於一頻域訊號X 中,該頻域訊號X 係包含數路子載波頻域訊號,U為2的冪次,且U≧2(即2、4、8、32、...,依此類推),各該子載波頻域訊號係具有數個子載波及其位置;該訊號轉換步驟S2係將該頻域訊號X 轉成一時域訊號x 並濾出數路子載波時域訊號,U為2的冪次,且U≧2(即2、4、8、32、...,依此類推);該分群序列產生步驟S5係產生數個奇偶分群之Zadoff-Chu序列;該候選訊號產生步驟S3’係將該Zadoff-Chu序列分別與該數路子載波時域訊號之第一路子載波時域訊號產生數路奇偶分群之Zadoff-Chu子載波時域訊號,並以奇偶分群方式產生一候選位移集合W與該子載波時域訊號之第一路子載波時域訊號以外的子載波時域訊號進行奇偶分群循環位移,產生數路循環位移子載波時域訊號,該子載波時域訊號與該循環位移子載波時域訊號相加,以產生數個候選訊號,K為分群之數量;該傳輸訊號選擇步驟S4係從該候選訊號中,選擇一具有最小峰值對平均功率比值之訊號並設為一傳輸訊號r 傳送。藉此,可在領航訊號輔助之正交分頻多工系統中,以不傳旁帶資訊方式降低峰值對平均功率比值。在此實施例中,U係設為4。Please refer to FIG. 8 , which is a flowchart of a second embodiment of a method for reducing a peak-to-average power ratio of an orthogonal frequency division multiplexing system according to the present invention. The steps of the method include a pilot signal placing step S1 ′, and a method. a signal conversion step S2, a group candidate signal generating step S3', a transmission signal selecting step S4, and a grouping sequence generating step S5, wherein the grouping sequence generating step S5 is any time before the grouping candidate signal generating step S3' is performed. get on. The pilot signal placing step S1' starts with the first subcarrier position L 0 and starts several pilot signals. Placed in a frequency domain signal X at equal intervals, the frequency domain signal X includes several subcarrier frequency domain signals , U is a power of 2, and U ≧ 2 (ie 2, 4, 8, 32, ..., and so on), each subcarrier frequency domain signal Has several subcarriers and their locations The signal conversion step S2 converts the frequency domain signal X into a time domain signal x and filters out the number of subcarrier time domain signals. , U is a power of 2, and U ≧ 2 (ie, 2, 4, 8, 32, ..., and so on); the clustering sequence generates step S5 to generate a number of odd-even groups of Zadoff-Chu sequences The candidate signal generating step S3' is the Zadoff-Chu sequence Time domain signal with the number of subcarriers First subcarrier time domain signal Generating time-domain signals of Zadoff-Chu subcarriers with several parity groups And generating a candidate displacement set W and the subcarrier time domain signal in a parity group manner First subcarrier time domain signal Subcarrier time domain signal Perform parity and group cyclic shift to generate several cyclic shift subcarrier time domain signals , the subcarrier time domain signal Time domain signal with the cyclic shift subcarrier Add together to generate several candidate signals , K is the number of groups; the transmission signal selection step S4 is from the candidate signal Medium, select a signal with a minimum peak-to-average power ratio and set it as a transmission signal r . In this way, the peak-to-average power ratio can be reduced in the pilot signal-assisted orthogonal frequency division multiplexing system without passing the sideband information. In this embodiment, the U system is set to 4.

該領航訊號放置步驟S1’係於四路頻域訊號中,以第一個子載波位置L 0 為起點,等間隔放置該領航訊號,其中,該領航訊號放置於該第一路頻域訊號之值為0。詳言之,假設該領航訊號之數量為p,該子載波數量為N,第一個領航訊號P 0 放置於第一個子載波位置L 0 ,其餘領航訊號P 1P 2 、...、P p -1 分別以一等間隔放置其餘子載波位置,其中,該等間隔為N /p +1,且p 2 N 。由於該領航訊號放置於該第一路頻域訊號之各該子載波位置的值為0,以供該頻域訊號轉為時域訊號時,可於該領航訊號對應之位置填入該Zadoff-Chu序列。請再參閱第6圖所示,其中,該領航訊號之數量p為4,該4路子載波頻域訊號之子載波數量N為16,該第一個領航訊號P 0 =0放置於該第一個子載波位置L 0 ,第2個領航訊號P 1 放置於第6個子載波位置L 5 ,依此類推。The pilot signal placing step S1' is tied to the four-way frequency domain signal , , and The pilot signal is placed at equal intervals starting from the first subcarrier position L 0 , where the pilot signal Placed in the first frequency domain signal The value is 0. In detail, assume the pilot signal The number of the subcarriers is N, the first pilot signal P 0 is placed at the first subcarrier position L 0 , and the other pilot signals P 1 , P 2 , ..., P p -1 are respectively Placing the remaining subcarrier positions at equal intervals Where the intervals are N / p +1 and p 2 N. Due to the pilot signal Placed in the first frequency domain signal Each of the subcarrier positions has a value of 0 for the frequency domain signal When it is converted to a time domain signal, it can be used in the pilot signal. The corresponding position is filled in the Zadoff-Chu sequence . Please refer to Figure 6, where the pilot signal The number p is 4, and the 4-channel subcarrier frequency domain signal The number of subcarriers N is 16, the first pilot signal P 0 =0 is placed at the first subcarrier position L 0 , the second pilot signal P 1 is placed at the 6th subcarrier position L 5 , and so on.

該訊號轉換步驟S2係將該頻域訊號X 轉成該時域訊號x ,並濾出數路子載波時域訊號。詳言之,該頻域訊號X 係進行反快速傅立葉轉換,以產生該時域訊號x ,如上式(7)所示。由於訊號在頻域上等間隔分離,可以等效將時域訊號與一個序列作環形旋積運算,如上式所示。因此,該時域訊號x 與一濾波序列作環形旋積運算,可濾出該子載波時域訊號,如上式(9)至(13)所示。The signal conversion step S2 converts the frequency domain signal X into the time domain signal x , and filters out the number of subcarrier time domain signals. . In detail, the frequency domain signal X performs an inverse fast Fourier transform to generate the time domain signal x as shown in the above equation (7). Since the signals are equally spaced in the frequency domain, the time domain signal can be equivalently circularly convoluted with a sequence, as shown in the above equation. Therefore, the time domain signal x and a filtering sequence As a circular convolution operation, the subcarrier time domain signal can be filtered out , as shown in the above formulas (9) to (13).

該分群序列產生步驟S5係產生該Zadoff-Chu序列,其碼長N zc 為p/4,如上式(33)所示。由於此N/4個點若在頻域上靠得太近將造成訊號判斷區間(Decision Region)太小,星座點之間的最小距離變小讓錯誤率大增,而使判斷錯誤率過高。因此,若將N/4個循環位移做奇偶分群,則可得一偶數循環位移集合C e 及一奇數循環位移集合C o ,分別如上式(34)及(35)所示。The grouping sequence generating step S5 is to generate the Zadoff-Chu sequence The code length N zc is p/4, as shown in the above formula (33). Since the N/4 points are too close in the frequency domain, the signal determination interval (Decision Region) is too small, and the minimum distance between the constellation points becomes small, which increases the error rate and makes the judgment error rate too high. . Therefore, if N/4 cyclic shifts are used for parity grouping, an even cyclic shift set C e and an odd cyclic shift set C o can be obtained, as shown in the above equations (34) and (35), respectively.

因此,S 1 ,S 2 ,S 3 {C o ,C e }之排列組合共有23 種,如上式(36)及(37)所示,其中,在傳送端第一路之領航訊號需有8組碼長為p/4的Zadoff-Chu序列,以表示此8種組合。藉此,該Zadoff-Chu序列系放置於該第一路之領航訊號P a 位置,以代表第2、3及4路訊號之循環位移係屬於該偶數循環位移集合C e 或該奇數循環位移集合C o Therefore, S 1 , S 2 , S 3 There are a total of 23 combinations of { C o , C e }, as shown in the above equations (36) and (37), in which the pilot signal of the first road at the transmitting end There are 8 sets of Zadoff-Chu sequences with a code length of p/4 to represent these 8 combinations. Thereby, the Zadoff-Chu sequence is placed at the pilot position P a of the first path, so that the cyclic displacement of the second, third and fourth signals belongs to the even cyclic displacement set C e or the odd cyclic displacement set. C o .

由於產生一個Zadoff-Chu序列需有其碼長N zc 及其根索引u,當該碼長N zc 及該根索引u互質時,則所產生之Zadoff-Chu序列具有完美的週期性自相關及週期性互相關低之特性。因此,子載波數量N為2的冪次(即2、4、8、32、...,依此類推);子載波數量N必須被該領航訊號之數量p整除;p為4的倍數且p/4亦為2的冪次(即2、4、8、32、...,依此類推),以使各路之領航訊號之數量一致。其中,若該Zadoff-Chu序列之碼長N zc 為p/4,則該Zadoff-Chu序列u具有p/8個奇數的根索引與該碼長N zc 互質,此p/8個Zadoff-Chu序列藉由循環位移可得p/4個具有完美的週期性自相關及週期性互相關低之Zadoff-Chu序列,因此,若碼長N zc 為p/4,則該Zadoff-Chu序列之數量nzc係如上式(38)所示,其中,在奇偶分群的情形下,該領航訊號之數量p≧16。Since a Zadoff-Chu sequence needs to have its code length N zc and its root index u, when the code length N zc and the root index u are mutually prime, the generated Zadoff-Chu sequence has a perfect periodic autocorrelation. And low periodic cross-correlation. Therefore, the number of subcarriers N is a power of 2 (ie, 2, 4, 8, 32, ..., and so on); the number of subcarriers N must be the pilot signal The number p is divisible; p is a multiple of 4 and p/4 is also a power of 2 (ie 2, 4, 8, 32, ..., and so on), so that the pilot signals of each way The number is the same. Wherein, if the code length N zc of the Zadoff-Chu sequence is p/4, the root index of the Zadoff-Chu sequence u having p/8 odd numbers is mutually prime with the code length N zc , and the p/8 Zadoff- The Chu sequence can obtain p/4 Zadoff-Chu sequences with perfect periodic autocorrelation and periodic cross-correlation by cyclic shift. Therefore, if the code length N zc is p/4, the Zadoff-Chu sequence The number nzc is as shown in the above formula (38), wherein in the case of a parity group, the pilot signal The number is p≧16.

該候選訊號產生步驟S3’係將該Zadoff-Chu序列分別填入該數路子載波時域訊號之第一路子載波時域訊號之領航訊號位置,產生該奇偶分群之Zadoff-Chu子載波時域訊號,並以奇偶分群方式產生該候選位移集合w 與該數路子載波時域訊號之第一路子載波時域訊號以外的子載波時域訊號進行奇偶分群循環位移,產生數路循環位移子載波時域訊號,該Zadoff-Chu子載波時域訊號分別與該循環位移子載波時域訊號相加,以產生該候選訊號。其中,判斷使用哪個Zadoff-Chu序列係如上式(39)所示,在得到後,即可利用對應到每一路的訊號判斷區間運用下式解調出每一路的位移,如上式(40)所示。The candidate signal generating step S3' is the Zadoff-Chu sequence. Fill in the digital subcarrier time domain signal separately First subcarrier time domain signal Pilot signal Position, generating a Zadoff-Chu subcarrier time domain signal of the parity group And generating the candidate displacement set w and the number of subcarrier time domain signals in a parity group manner First subcarrier time domain signal Subcarrier time domain signal Perform parity and group cyclic shift to generate several cyclic shift subcarrier time domain signals , the Zadoff-Chu subcarrier time domain signal Time-domain signal with the cyclic shift subcarrier Add together to generate the candidate signal . Among them, it is judged which Zadoff-Chu sequence is used as shown in the above formula (39), and is obtained. After that, you can use The signal judgment interval corresponding to each channel uses the following equation to demodulate the displacement of each path, as shown in the above equation (40).

該傳輸訊號選擇步驟S4係以該時域訊號x 及該候選訊號y ,計算並比較該時域訊號x 及該候選訊號y 之峰值對平均功率比值,選擇該具有最小峰值對平均功率比值之訊號並設為該傳輸訊號r 傳送。The transmission signal selecting step S4 lines to the time domain signal x and the candidate signal y, calculated and compared, and the peak value of the time domain signal x to the candidate signal y is on the average power ratio, select which has a minimum peak signal-to-average power ratio of And set to transmit the signal r .

藉此,產生系統已知且位置在第一路領航訊號P 0 之Zadoff-Chu序列時域訊號,在時域上將該子載波時域訊號及該Zadoff-Chu序列相加,以產生該子載波時域訊號;另,產生該候選位移集合w ,再加上Zadoff-Chu序列時域訊號後,將該子載波時域訊號以該候選位移集合w 進行(N/4)3 種可能之循環位移,產生該子載波時域訊號;將該子載波時域訊號及該子載波時域訊號相加,產生該候選訊號,再由該傳輸訊號選擇單元34係以該候選訊號,選擇一具有最小峰值對平均功率比值之訊號並設為該傳輸訊號r 傳送。Thereby, a Zadoff-Chu sequence of the system known and located at the first pilot signal P 0 is generated. Time domain signal, the subcarrier time domain signal in the time domain And the Zadoff-Chu sequence Adding to generate the subcarrier time domain signal In addition, the candidate displacement set w is generated, plus the Zadoff-Chu sequence Time domain signal after the time domain signal Performing (N/4) 3 possible cyclic shifts with the candidate displacement set w , generating the subcarrier time domain signal The subcarrier time domain signal And the subcarrier time domain signal Add together to generate the candidate signal And the transmission signal selection unit 34 is coupled to the candidate signal. Select a signal with a minimum peak-to-average power ratio and set the transmission signal r to transmit.

因此,本發明利用時域訊號的循環位移,係等同於在頻域上的子載波訊號呈現累進旋轉角度效果的相位旋轉之特性,在頻域上以領航訊號估出循環位移值,並在時域上以數個Zadoff-Chu序列做奇偶分群,可在領航訊號輔助之正交分頻多工系統中,以不傳旁帶資訊方式降低峰值對平均功率比值,其判斷錯誤率低,且產生的候選訊號較少,可降低搜尋的複雜度。Therefore, the present invention utilizes the cyclic shift of the time domain signal, which is equivalent to the phase rotation characteristic of the subcarrier signal in the frequency domain exhibiting a progressive rotation angle effect, and estimates the cyclic displacement value by the pilot signal in the frequency domain, and is in time Several Zadoff-Chu sequences on the domain Doing parity grouping, in the pilot signal-assisted orthogonal frequency division multiplexing system, the peak-to-average power ratio is reduced by not transmitting sideband information, the judgment error rate is low, and fewer candidate signals are generated, which can lower the search. The complexity.

本發明降低正交分頻多工系統之峰值對平均功率比值之方法,係以該領航訊號等間隔放置於該頻域訊號X ,以及時域訊號的循環位移等同於在頻域上的子載波訊號呈現累進旋轉角度效果的相位旋轉之特性,因此,可在領航訊號輔助之正交分頻多工系統中,達到以不傳旁帶資訊方式降低峰值對平均功率比值之功效。The method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system is that the pilot signal is equally spaced at the frequency domain signal X , and the cyclic shift of the time domain signal is equivalent to the subcarrier in the frequency domain. The signal exhibits the characteristics of the phase rotation of the progressive rotation angle effect. Therefore, in the pilot-assisted orthogonal frequency division multiplexing system, the peak-to-average power ratio can be reduced without passing the side information.

本發明降低正交分頻多工系統之峰值對平均功率比值之方法,係以該領航訊號等間隔放置於該頻域訊號X ,以及時域訊號的循環位移等同於在頻域上的子載波訊號呈現累進旋轉角度效果的相位旋轉之特性,因此,可在領航訊號輔助之正交分頻多工系統中,達到判斷錯誤率低之功效。The method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system is that the pilot signal is equally spaced at the frequency domain signal X , and the cyclic shift of the time domain signal is equivalent to the subcarrier in the frequency domain. The signal exhibits the characteristics of the phase rotation of the progressive rotation angle effect, so that the effect of determining the error rate can be achieved in the pilot signal assisted orthogonal frequency division multiplexing system.

本發明降低正交分頻多工系統之峰值對平均功率比值之方法,係以該領航訊號等間隔放置於該頻域訊號X ,以及時域訊號的循環位移等同於在頻域上的子載波訊號呈現累進旋轉角度效果的相位旋轉之特性,因此,可在領航訊號輔助之正交分頻多工系統中,達到降低搜尋的複雜度之功效。The method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system is that the pilot signal is equally spaced at the frequency domain signal X , and the cyclic shift of the time domain signal is equivalent to the subcarrier in the frequency domain. The signal exhibits the phase rotation characteristic of the progressive rotation angle effect, so that the search complexity can be reduced in the pilot signal assisted orthogonal frequency division multiplexing system.

雖然本發明已利用上述較佳實施例揭示,然其並非用以限定本發明,任何熟習此技藝者在不脫離本發明之精神和範圍之內,相對上述實施例進行各種更動與修改仍屬本發明所保護之技術範疇,因此本發明之保護範圍當視後附之申請專利範圍所界定者為準。While the invention has been described in connection with the preferred embodiments described above, it is not intended to limit the scope of the invention. The technical scope of the invention is protected, and therefore the scope of the invention is defined by the scope of the appended claims.

[本發明][this invention]

1...傳送端裝置1. . . Transmitter device

11...領航訊號放置單元11. . . Pilot signal placement unit

12...訊號轉換單元12. . . Signal conversion unit

121...反快速傅立葉轉換器121. . . Anti-fast Fourier converter

122...濾波器122. . . filter

13...候選訊號產生單元13. . . Candidate signal generation unit

131...循環位移器131. . . Cyclic displacement

132...加法器132. . . Adder

14...傳輸訊號選擇單元14. . . Transmission signal selection unit

2...接收端裝置2. . . Receiving device

21...快速傅立葉轉換單元twenty one. . . Fast Fourier transform unit

22...通道估測單元twenty two. . . Channel estimation unit

23...位移選擇單元twenty three. . . Displacement selection unit

24...位移補償單元twenty four. . . Displacement compensation unit

3...傳送端裝置3. . . Transmitter device

31...領航訊號放置單元31. . . Pilot signal placement unit

32...訊號轉換單元32. . . Signal conversion unit

321...反快速傅立葉轉換器321. . . Anti-fast Fourier converter

322...濾波器322. . . filter

33...候選訊號產生單元33. . . Candidate signal generation unit

331...Zadoff-Chu序列產生器331. . . Zadoff-Chu Sequence Generator

332...第一加法器332. . . First adder

333...循環位移器333. . . Cyclic displacement

334...第二加法器334. . . Second adder

34...傳輸訊號選擇單元34. . . Transmission signal selection unit

4...接收端裝置4. . . Receiving device

41...快速傅立葉轉換單元41. . . Fast Fourier transform unit

42...通道估測單元42. . . Channel estimation unit

43...相關性偵測單元43. . . Correlation detection unit

44...位移選擇單元44. . . Displacement selection unit

45...位移補償單元45. . . Displacement compensation unit

第1圖:本發明降低正交分頻多工系統之峰值對平均功率比值之方法的第一實施例之傳送端架構示意圖。1 is a schematic diagram of a transmission end architecture of a first embodiment of a method for reducing a peak-to-average power ratio of an orthogonal frequency division multiplexing system according to the present invention.

第2圖:本發明降低正交分頻多工系統之峰值對平均功率比值之方法的第一實施例之領航訊號放置示意圖。Fig. 2 is a schematic diagram showing the navigation signal placement of the first embodiment of the method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system according to the present invention.

第3圖:本發明降低正交分頻多工系統之峰值對平均功率比值之方法的第一實施例之接收端架構示意圖。Figure 3 is a schematic diagram showing the architecture of the receiving end of the first embodiment of the method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system.

第4圖:本發明降低正交分頻多工系統之峰值對平均功率比值之方法的第一實施例之流程圖。Figure 4 is a flow chart showing a first embodiment of the method for reducing the peak-to-average power ratio of an orthogonal frequency division multiplexing system.

第5圖:本發明降低正交分頻多工系統之峰值對平均功率比值之方法的第二實施例之傳送端架構示意圖。Figure 5 is a schematic diagram showing the architecture of the transmitting end of the second embodiment of the method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system.

第6圖:本發明降低正交分頻多工系統之峰值對平均功率比值之方法的第二實施例之領航訊號放置示意圖。Fig. 6 is a schematic diagram showing the navigation signal placement of the second embodiment of the method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system according to the present invention.

第7圖:本發明降低正交分頻多工系統之峰值對平均功率比值之方法的第二實施例之接收端架構示意圖。Figure 7 is a schematic diagram showing the architecture of the receiving end of the second embodiment of the method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system.

第8圖:本發明降低正交分頻多工系統之峰值對平均功率比值之方法的第二實施例之流程圖。Figure 8 is a flow chart of a second embodiment of the method of reducing the peak-to-average power ratio of an orthogonal frequency division multiplexing system in accordance with the present invention.

1...傳送端裝置1. . . Transmitter device

11...領航訊號放置單元11. . . Pilot signal placement unit

12...訊號轉換單元12. . . Signal conversion unit

121...反快速傅立葉轉換器121. . . Anti-fast Fourier converter

122...濾波器122. . . filter

13...候選訊號產生單元13. . . Candidate signal generation unit

131...循環位移器131. . . Cyclic displacement

132...加法器132. . . Adder

14...傳輸訊號選擇單元14. . . Transmission signal selection unit

Claims (10)

一種降低正交分頻多工系統之峰值對平均功率比值之方法,其步驟係包含:一領航訊號放置步驟,係將數個領航訊號以一等間隔放置於數路頻域訊號中,該頻域訊號係包含數路子載波頻域訊號,各該子載波頻域訊號係具有數個子載波及其位置,其中將該數個領航訊號以該等間隔放置於數路頻域訊號中時,係以第一個子載波位置為起點;一訊號轉換步驟,係將該頻域訊號轉成一時域訊號並濾出數路子載波時域訊號;一候選訊號產生步驟,係輸入該數路子載波時域訊號,產生一候選位移集合,供該數路子載波時域訊號之第一路子載波時域訊號以外的子載波時域訊號進行循環位移,再與該第一路子載波時域訊號相加,產生數個候選訊號;及一傳輸訊號選擇步驟,係以該時域訊號及該候選訊號,選擇一具有最小峰值對平均功率比值之候選訊號並設為一傳輸訊號傳送。A method for reducing a peak-to-average power ratio of an orthogonal frequency division multiplexing system, the method comprising: a pilot signal placing step of placing a plurality of pilot signals at equal intervals in a plurality of frequency domain signals, the frequency The domain signal includes a plurality of subcarrier frequency domain signals, each of the subcarrier frequency domain signals having a plurality of subcarriers and a position thereof, wherein when the plurality of pilot signals are placed in the frequency domain signals at the intervals, The first subcarrier position is a starting point; a signal conversion step is to convert the frequency domain signal into a time domain signal and filter out the plurality of subcarrier time domain signals; and a candidate signal generating step is to input the digital subcarrier time domain signal Generating a candidate displacement set for cyclically shifting subcarrier time domain signals other than the first subcarrier time domain signal of the time domain signal of the plurality of subcarriers, and adding the first subcarrier time domain signal to generate a plurality of a candidate signal; and a transmission signal selection step, using the time domain signal and the candidate signal, selecting a candidate signal having a minimum peak-to-average power ratio and setting it as a transmission No transfer. 依申請專利範圍第1項所述之降低正交分頻多工系統之峰值對平均功率比值之方法,其中子載波頻域訊號之個數為U個,U為2的冪次且U≧2,該子載波數量為N個,該領航訊號之數量為p個,該等間隔為N/p+1,且p 2 NThe method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system according to claim 1 of the patent application scope, wherein the number of subcarrier frequency domain signals is U, U is a power of 2 and U≧2 The number of the subcarriers is N, and the number of the pilot signals is p, and the intervals are N/p+1, and p 2 N. 依申請專利範圍第1項所述之降低正交分頻多工系統之峰值對平均功率比值之方法,其中產生該候選位移集合之方法係如下式所示:s q,r 係第q 路之第r 個候選位移,l 係任二位移在頻域星座點間之距離。The method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system according to claim 1 of the patent application scope, wherein the method for generating the candidate displacement set is as follows: , s q, r is the rth candidate displacement of the qth road, and l is the distance between the two displacements in the frequency domain constellation points. 依申請專利範圍第1項所述之降低正交分頻多工系統之峰值對平均功率比值之方法,其中該候選位移集合係由M個位移集合所組成的集合,各該位移集合之值為一矩陣c 6 中各行之值,如下式所示:為克羅內克積, s q,r 係第q路之第r 個候選位移,q {1,2,3},r =0,1,2,..., M -1。A method for reducing a peak-to-average power ratio of an orthogonal frequency division multiplexing system according to claim 1, wherein the candidate displacement set is a set of M displacement sets, and the value of each of the displacement sets is The value of each row in a matrix c 6 is as follows: , For Kronecker, , s q,r is the rth candidate displacement of the qth path, q {1,2,3}, r =0,1,2,..., M -1. 依申請專利範圍第1項所述之降低正交分頻多工系統之峰值對平均功率比值之方法,其中判斷候選位移之值係如下式所示: ,p為該領航訊號之數量,q {1,2,3},係指第一、二或三路,d q (k )為第q路之第k個領航訊號的位置,N為子載波時域訊號數量,R q X q 分別為第q路之接收訊號及領航訊號。The method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system according to claim 1 of the patent application scope, wherein the value of the candidate displacement is determined as follows: , p is the number of the pilot signal, q {1,2,3} means the first, second or third way, d q ( k ) is the position of the kth pilot signal of the qth path, N is the number of subcarrier time domain signals, R q and X q They are the receiving signal and pilot signal of the qth road. 一種降低正交分頻多工系統之峰值對平均功率比值之方法,其步驟係包含:一領航訊號放置步驟,係將數個領航訊號以一等間隔放置於數路頻域訊號中,該頻域訊號係包含數路子載波頻域訊號,各該子載波頻域訊號係具有數個子載波及其位置,其中將該數個領航訊號以該等間隔放置於數路頻域訊號中時,係以第一個子載波位置為起點;一訊號轉換步驟,係將該頻域訊號轉成一時域訊號並濾出數路子載波時域訊號;一分群序列產生步驟,係產生數個奇偶分群之Zadoff-Chu序列;一分群候選訊號產生步驟,係將該Zadoff-Chu序列分別與該數路子載波時域訊號之第一路子載波時域訊號產生數路奇偶分群之Zadoff-Chu子載波時域訊號,並以奇偶分群方式產生一候選位移集合與該數路子載波時域訊號之第一路子載波時域訊號以外的子載波時域訊號進行奇偶分群循環位移,產生數路循環位移子載波時域訊號,該Zadoff-Chu子載波時域訊號分別與該循環位移子載波時域訊號相加,以產生數個候選訊號;及一傳輸訊號選擇步驟,係從該候選訊號中,選擇一具有最小峰值對平均功率比值之候選訊號並設為一傳輸訊號傳送。A method for reducing a peak-to-average power ratio of an orthogonal frequency division multiplexing system, the method comprising: a pilot signal placing step of placing a plurality of pilot signals at equal intervals in a plurality of frequency domain signals, the frequency The domain signal includes a plurality of subcarrier frequency domain signals, each of the subcarrier frequency domain signals having a plurality of subcarriers and a position thereof, wherein when the plurality of pilot signals are placed in the frequency domain signals at the intervals, The first subcarrier position is a starting point; a signal conversion step is to convert the frequency domain signal into a time domain signal and filter out the number of subcarrier time domain signals; a grouping sequence generating step is to generate a number of odd and even groups of Zadoff- a Chu sequence; a cluster candidate signal generating step, which generates a Zadoff-Chu subcarrier time domain signal of the Zadoff-Chu sequence and the first subcarrier time domain signal of the digital subcarrier time domain signal respectively, and Generating a candidate displacement set and a subcarrier time domain signal other than the first subcarrier time domain signal of the time domain signal in a parity group manner to perform a parity group cyclic shift Generating a plurality of cyclically shifted subcarrier time domain signals, wherein the Zadoff-Chu subcarrier time domain signals are respectively added to the cyclically shifted subcarrier time domain signals to generate a plurality of candidate signals; and a transmission signal selecting step is performed from the Among the candidate signals, a candidate signal having a minimum peak-to-average power ratio is selected and set as a transmission signal transmission. 依申請專利範圍第6項所述之降低正交分頻多工系統之峰值對平均功率比值之方法,其中子載波時域訊號之個數為U個,U為2的冪次且U≧2,該子載波數量為N個,該領航訊號之數量為p個,該等間隔為N/p+1,且p 2 N ,該領航訊號放置於該第一路頻域訊號之值為0。The method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system according to Item 6 of the patent application scope, wherein the number of subcarrier time domain signals is U, U is a power of 2 and U≧2 The number of the subcarriers is N, and the number of the pilot signals is p, and the intervals are N/p+1, and p 2 N , the pilot signal is placed in the first frequency domain signal value of 0. 依申請專利範圍第6項所述之降低正交分頻多工系統之峰值對平均功率比值之方法,其中奇偶分群循環位移分為一偶數循環位移集合C e 及一奇數循環位移集合C o ,分別如下式所示:C e ={0,2,4,...,N /4-2},C o ={1,3,5,...,N /4-1};及奇偶分群循環位移之排列組合共有8種,如下式所示: The method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system according to claim 6 of the patent application scope, wherein the parity group cyclic displacement is divided into an even cyclic displacement set C e and an odd cyclic displacement set C o , They are as follows: C e ={0,2,4,..., N /4-2}, C o ={1,3,5,..., N /4-1}; and parity There are 8 kinds of permutation and combination of grouping cyclic displacement, as shown in the following formula: 依申請專利範圍第6項所述之降低正交分頻多工系統之峰值對平均功率比值之方法,其中判斷Zadoff-Chu序列之方式,如下式所示:,p為該領航訊號之數量,m為每一路第m個領航訊號,d (m )為第m個領航訊號的位置,Z ( k )* 為第一路訊號之Zadoff-Chu序列取共厄,為補完通道的第一路接收訊號訊號。The method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system according to Item 6 of the patent application scope, wherein the method for determining the Zadoff-Chu sequence is as follows: , p is the number of the pilot signals, m is the mth pilot signal of each road, d ( m ) is the position of the mth pilot signal, and Z ( k )* is the Zadoff-Chu sequence of the first signal. , The signal signal is received for the first channel of the completion channel. 依申請專利範圍第6項所述之降低正交分頻多工系統之峰值對平均功率比值之方法,其中判斷位移之方式,如下列所示:,p為該領航訊號之數量,N為子載波數量,m為每一路的第m個領航訊號,d q (m )為第q路中第m個領航訊號的位置,R q 為第q路的接收訊號,X q 為第q路的領航訊號,H q 為第q路通道的頻率響應。The method for reducing the peak-to-average power ratio of the orthogonal frequency division multiplexing system according to item 6 of the patent application scope, wherein the manner of determining the displacement is as follows: , p is the number of pilot signals, N is the number of subcarriers, m is the mth pilot signal of each way, d q ( m ) is the position of the mth pilot signal in the qth road, and R q is the qth road The receiving signal, X q is the pilot signal of the qth road, and H q is the frequency response of the qth channel.
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