經濟部中央標枣局只工消浐合作社印51 >(〇) jc(0)cos0 γ(ΘΙώ) __ x(6/m)cos9 γ(2ίΐ/ω) x{2jr/&)cos2jt 4 185 8 2 at B7 五、發明説明（I) 本發明之領域 本發明係有關於一種信號編碼與解碼的方法。在另一The Ministry of Economic Affairs ’Central Standards and Jujube Bureau only eliminates the cooperative seal 51 > (〇) jc (0) cos0 γ (ΘΙώ) __ x (6 / m) cos9 γ (2ίΐ / ω) x (2jr / &) cos2jt 4 185 8 2 at B7 V. Description of the Invention (I) Field of the Invention The present invention relates to a method for signal encoding and decoding. In another
I 方面，其係有關於一種信號編碼器與解碼器。本發明也是 一種信號。 本發明之背景 在調幅（amplitude modulation)中，基頻帶(baseband)信 號係混合一高頻的載波信號，因而該基頻帶信號的形狀係 以波封(envelope)來重疊到該載波頻率之上。爲了解調變該 信號，載波的波峰可在每個週期加以檢測；此係等效於沿 著該波封找出一系列出現在該載波頻率的點。應可體認的 是找出載波的波峰並不重要*並且若取樣偏離波峰時，該 波封的形狀仍然可以被回復，假設載波是在每週期中相同 的相位上並且不是在零交越點上被取樣。 此可用數學方式加以表示：當一個信號被一載波振幅 調變時，所產生的調變後之信號可如下所示： y{t) = cos ωί 若y⑴是在該載波的每一週期之上，在間隔爲0/ω從 θ=0到0=2ττ之間被取樣時，則y(t)的取樣値係由下表所 得： 在載波的單一週期期間，基頻帶X⑴的値係假設爲不 本紙乐尺度適州中阐囤家棣伞（CNS ) Λ4规格（2丨OX297公釐} 〔"先閱讀背而之注意事項再矽；本頁)In aspect I, it relates to a signal encoder and decoder. The invention is also a signal. BACKGROUND OF THE INVENTION In amplitude modulation, a baseband signal is a high-frequency carrier signal, so the shape of the baseband signal is superimposed on the carrier frequency with an envelope. In order to demodulate the signal, the peaks of the carrier can be detected every cycle; this is equivalent to finding a series of points along the envelope that appear at the carrier frequency. It should be recognizable that it is not important to find the peak of the carrier * and if the sampling is off the peak, the shape of the envelope can still be recovered, assuming that the carrier is at the same phase in each cycle and not at the zero crossing point Is sampled. This can be expressed mathematically: when a signal is modulated by a carrier amplitude, the resulting modulated signal can look like this: y {t) = cos ωί if y⑴ is above each cycle of the carrier , When sampled at an interval of 0 / ω from θ = 0 to 0 = 2ττ, the sampling system of y (t) is obtained from the following table: During a single period of the carrier, the system of the baseband X ′ is assumed to be This paper is not a standard, but it ’s in the state of Shizhou, and it ’s explained in the CNS. Λ4 specification (2 丨 OX297mm) [" Read the precautions before you go to the silicon; this page)
4 185 8 2 A 7 B7 經濟部中央標苹而只工消泠合作社印裝 五、發明説明（>〇 會變化’因而基頻帶的資訊可由接收器獲得，只要該載波 在除了^£^如=0時，亦即如=；?/2,3 7?/2，...等等之外的 任何時間加以取樣即可。波峰的檢測是一個特殊例，其中 θί=0, 2 7Γ，4 π，…等等。 也應注意的是’所回復的基頻帶信號取樣的數目不論 在載波的波峰或是在其它的位置均是相同的。接收器可以 從每一週期中載波的眾多取樣中任選一個，或者可以取該 些取樣的平均値。 假設同步化已足夠良好來確保載波是在每一週期的相 同相位上被取樣，並且該相位是已知時，則基頻帶的資訊 ：r被回復。 本發明之槪要 本發明之目前構思的第一特點是一種信號編碼的方法 ，其包括步驟有： 利用一組P項川，f2, 的編碼函數來將一組η項 {χ^ χ2, ...Χη}的資料編碼成爲一組m項{y,，y2，…ym}的編碼 後資料，其中{yu y2, 係由以下而得： yi = (Xl.fl, X2-f2, ...Xn.fn) y2 = (Xi.f2, x2,f3, ...xn_fn+1) ! ym= (xl.fn，x2.fn+l，-..Xn-fn+n)。 編碼後資料的項數(m)可能比未編碼之資料的項數(n) 要來得多、或少、或是相等。然而，通常會是相等或是較 5 (¾先閱讀背面之注意事項再填W本頁) -5 Γ 本紙張尺度適州中國國家標命-(('NS ) Λ4说格{ 210X 297公瘦> 經濟部中央標準局β工消於合作杜印裝 4185 R 2 A7 _________B7_ __ 五、發明説明（j ) 少，因爲較多時會擴張資料。 編碼函數的項數(p)可能比未編碼之資料的項數(η)要來 得多、或少、或是相等。其中ρ小於2η的情形時’循環該 組函數是必要的，因而fp+1將等於f,、fp+2將等於6、… 等等。 在一個例子中，編碼函數F可以表示成一種波形，其 中{fw f2, 係表示該波形沿著一個週期上，在P個步瞎 (step)之每一個步階上的値，並且其中{yi，y2, 可以被 表示成該函數F的一種振幅與相位修改過的（或延遲後的) 版本Fx。其中m等於ρ、或是小於ρ時，則該修改過的波 形Fx的單一週期或更短可以被傳送來攜帶整組的{^，x2, ...xn}。該波形額外的週期可以被傳送來提供冗餘。 該波形可有利地是一種像是sin(gt)或是cos(<i)t)的單 一頻率，因而該些値可以沿著一個由相等的間隔360° /η 所隔開的單一週期上被分布。 一般而言，編碼函數可由沿著具有單一頻率的波形之 不同的相位位置上的項來表示，或者是該些項可以爲沿著 具有不同頻率的波形在時間上位於相同的位置處(亦即在— 個參考波形的某一給定的相位角處）。相位以及頻率調變可 加以結合來增加資料。該波形敢不需要具有像是正弦波的 單一頻率，而可以是一種由具有不同的信號脈衝與空號脈 衝比(mark space ratio)之脈衝所產生的虛擬(pseudo)正弦波 ，或是一種由具有相同頻率但是不同的相對延遲名方波的 總和所產生的等效波形。 6 ___________ 本纸張尺度適州中國囤家標肀（（、Ν5"Τλ4规格（210X 297公釐} (誚先閱讀背而之注意事項再填X.本頁) .裝· 訂 線 4185 8 2 Α7 Α7 Β7 五、發明説明（u) 在另一變化中，具有不同的信號脈衝與空號脈衝比以 及不同的振幅之方波的合成波可加以利用》此波形也可以 由加總一系列具有相同頻率之延遲後的方波來加以產生β 在此例中，每個形成該合成波的方波可以使其振幅乘上資 料的一項作爲權値以將資料編碼成爲合成波形。此波形可 加以適當地濾波來平滑之，並且限制到所選擇的頻道之頻 帶中。 在另一變化中，資料可被編碼到一序列被同時傳送之 具有不同頻率的連續波形之上。在此例中，編碼後的資料 真有格式爲： y(t〇 = xi cosCiejtt+A + x2 cos(wti+A + ...χ„ cos(£t)ti+A ωΐ〇 y(t2) = Xi cos(iJt2+A 4)t2) + X2 cos(〇}t2+A <yt2) + ...x„ C0S(4Jt2+A OJt2) 經濟部中央標準灼R工消泠合作社印裝 (誚先閱讀背而之注^^項再护，本頁) y(tn) = xj cos(<ytn+A <ytn) + xz cos(deJt„+A ωί„) + ...xn cos(〇jt„+A 〇jt„) 雖然該些波形是較容易處理，但任何的週期性或非週 期性之函數均可被用於編碼。 不同組的資料可以被編碼成爲一序列的連續波形，並 且這些波形可一個接著一個地加以傳送°該些波形與延遲 可以被選成使得波形的總和可具有便利的形狀，例如當適 當地被取樣時，一序列的連續正弦波可以被相加來產生一 7 本紙浪尺度蝻川中闽囤家樣半（（’奶）八4说格（2丨0><297公釐> 41858 2 A7 B7 經濟部中央標準趵妇工消费合作社印^ 五、發明説明（tT) / 個平滑的三角矩陣。 該資料可藉由取樣所接收到的波形並且算術地回復該 I 資料來加以回復。取樣並不必要在規律的間隔之上，但必 須事先知道並且適當地相關於編碼函數。 藉由適當地設計波形來對應於資料序列之下，將額外 的資料載入該波形是可能的。 在一種變化中，其具有大於一種的編碼函數F1，F2, …Fq，各具有p個成員。因此，Fi具有{ f"，f12, } ; F2 具有{ f21，&2，."【2ρ };而 F3 具有{ f3i，【32，...f3p }等等。 在此例中，該組n項{x,，x2, ...xn}的資料係被編碼成 爲一組q項{g丨，g2,g3, ...gq}之編碼後的資料，其中 gl = (Xi.fn, X2-fl2» •Xn-fln) g2 = (Xl.f2l, Χ2·^22> ••Χη-^η) ： gq _ (X!_fql，X2.fq2，-..Xn.fqn) 接著，該組{81居243，...8<1丨之編碼後的資料可被傳送’ 例如以一串的數位字碼來傳送。 在一個例子中，僅有兩個編碼函數以及 F2=c〇S((yt)，並且該些値是沿著一個由相等的間隔360° /η 所隔開的單一週期上分布。在此例中，gi與g2可看出爲一 組第一座標(coordinate)値以及一組第二座標値’並且由每 個座標對(pair)所定義出的位置可被計算出，因而接著被用 來產生聯立方程式，該些方程式可以被解出以回復該些資 8 (对先閱讀背面之注^^項再垆_本頁) Γ ，-'β 本紙張尺度適川中國S家摞嗥（「NS > Λ4規格（210 X 297公釐） 4185 8 2 A7 B7 經濟部中*標华灼-hJr;iu;资合作社印54 、發明説明（k) 料項{xi，x2,…xn}。 當有一序列的連續波形時，在連續的延遲間隔之間的 取樣可得一連串的値，原始的資料可以從該些値被算術地 再生(regenerate)。資料可以藉由讀取在合成波瑕中每個步 階的振幅而被回復。 本發明之目前構思的另一特點是一種信號編碼的裝置 ，其包括： 一資料輸入埠以接收一組η項{Χι，χ2，…〜}的資料、 一編碼函數埠以接收一組Ρ項{A, f2, ...fp}的編碼函數 <以及 一編碼處理器利用該編碼函數以將該資料編碼成爲一 組m項{y,，y2，...ym}的編碼後資料，其中{yi, y2， 由以下而得： yi = (Xi.fi, X2.f2, ...Xn-fn)4 185 8 2 A 7 B7 Printed by the central government of the Ministry of Economic Affairs of the People's Republic of China and printed only by the cooperative. V. Description of the invention (> 0 will change 'so the information of the base band can be obtained by the receiver, as long as the carrier When = 0, that is to say, any time other than =;? / 2,3 7? / 2, ... can be sampled. The detection of the peak is a special case, where θί = 0, 2 7Γ, 4 π, ... etc. It should also be noted that 'the number of baseband signal samples returned is the same whether at the peak of the carrier or at other locations. The receiver can take a number of samples from the carrier in each cycle Choose one of them, or you can take the average of these samples. Assuming that the synchronization is good enough to ensure that the carrier is sampled at the same phase in each cycle, and the phase is known, the baseband information: r is answered. The first feature of the present invention is the first feature of the present invention is a method of signal encoding, which includes the steps of: using a set of P-term, f2, encoding function to set a set of η terms {χ ^ χ2, ... χη} data encoding into a set of m terms {y ,, y2, ym} encoded data, where {yu y2, is derived from: yi = (Xl.fl, X2-f2, ... Xn.fn) y2 = (Xi.f2, x2, f3, ... xn_fn + 1)! ym = (xl.fn, x2.fn + l,-.. Xn-fn + n). The number of items (m) of the encoded data may be greater than the number of items (n) of the unencoded data. More, less, or equal. However, it will usually be equal or more than 5 (¾Read the notes on the back before filling this page) -5 Γ The paper size is suitable for China's national standard-((' NS) Λ4 grid {210X 297 male thin > The β standard of the Central Bureau of Standards of the Ministry of Economic Affairs has eliminated cooperation and printed 4185 R 2 A7 _________B7_ __ 5. The description of the invention (j) is small, because it will expand the data when more. Encoding function The number of terms (p) may be more, less, or equal than the number of terms (η) of the uncoded data. Where ρ is less than 2η, it is necessary to 'cycle the set of functions, so fp + 1 will Equal to f ,, fp + 2 will be equal to 6, ... etc. In one example, the encoding function F can be represented as a waveform, where {fw f2, means that the waveform follows a period and is blind at P steps ( step) at each step, and where {yi, y 2, which can be expressed as a modified (or delayed) version Fx of the function F. Where m is equal to or smaller than ρ, the single period or shorter of the modified waveform Fx Can be transmitted to carry the entire set of {^, x2, ... xn}. The extra period of the waveform can be transmitted to provide redundancy. The waveform can be advantageously a type like sin (gt) or cos (< i) t) a single frequency, so the chirps can be distributed along a single period separated by an equal interval of 360 ° / η. In general, the encoding function can be represented by terms at different phase positions along a waveform with a single frequency, or these terms can be located at the same position in time along a waveform with different frequencies (i.e., At a given phase angle of a reference waveform). Phase and frequency modulation can be combined to add data. This waveform does not need to have a single frequency like a sine wave, but can be a pseudo sine wave generated by pulses with different signal pulse to mark space ratio, or a Equivalent waveform produced by the sum of square waves with the same frequency but different relative delays. 6 ___________ This paper size is suitable for the Chinese storehouse label in Shizhou ((, Ν5 " Τλ4 specification (210X 297mm)) (诮 Please read the precautions on the back, and then fill in X. This page). Binding and ordering 4185 8 2 Α7 Α7 Β7 V. Description of the invention (u) In another variation, a composite wave with a different signal pulse to space pulse ratio and a square wave with different amplitudes can be used. This waveform can also be added by adding a series of Delayed square waves of the same frequency are used to generate β. In this example, each square wave forming the composite wave can multiply its amplitude by one term of the data as a weight to encode the data into a synthetic waveform. This waveform can be Appropriate filtering to smooth it and limit it to the frequency band of the selected channel. In another variation, the data can be encoded onto a sequence of continuous waveforms with different frequencies transmitted simultaneously. In this example, The format of the encoded data is: y (t〇 = xi cosCiejtt + A + x2 cos (wti + A + ... χ „cos (£ t) ti + A ωΐ〇y (t2) = Xi cos (iJt2 + A 4) t2) + X2 cos (〇) t2 + A < yt2) + ... x „C0S (4Jt2 + A OJt2) Printed by the Central Standard, R Gong Xiaoling Cooperative (read the note and read the ^^ item first, then protect, this page) y (tn) = xj cos (< ytn + A < ytn) + xz cos (deJt „ + A ωί „) + ... xn cos (〇jt„ + A 〇jt „) Although these waveforms are easier to process, any periodic or aperiodic function can be used for encoding. Different groups The data can be encoded into a series of continuous waveforms, and these waveforms can be transmitted one after another. The waveforms and delays can be selected so that the sum of the waveforms can have a convenient shape, such as when sampled appropriately, A sequence of continuous sine waves can be added to produce a 7-paper wave scale in the middle and the middle of the Sichuan province. (('Milk') 8 4 cells (2 丨 0 > < 297 mm > 41858 2 A7 B7 Economy Printed by the Ministry's Central Standard Women's Workers Consumer Cooperatives ^ 5. Description of the Invention (tT) / a smooth triangle matrix. This data can be recovered by sampling the received waveform and arithmetically replying to the I data. Sampling is not necessary Above regular intervals, but must be known in advance and properly related to the coding function By appropriately designing the waveform to correspond to the data sequence, it is possible to load additional data into the waveform. In one variation, it has more than one encoding function F1, F2, ... Fq, each with p Members. Therefore, Fi has {f ",f12,}; F2 has {f21, & 2,. &Quot;[2ρ}; and F3 has {f3i, [32, ... f3p} and so on. In this example, the data of the set of n items {x ,, x2, ... xn} are encoded into a set of encoded data of the q items {g 丨, g2, g3, ... gq}, where gl = (Xi.fn, X2-fl2 »• Xn-fln) g2 = (Xl.f2l, χ2 · ^ 22 > •• χη- ^ η): gq _ (X! _fql, X2.fq2,-.. Xn.fqn) Then, the encoded data of the group {81 ~ 243, ... 8 < 1 丨 can be transmitted ', for example, transmitted as a series of digital word codes. In one example, there are only two encoding functions and F2 = coS ((yt), and the 値 are distributed along a single period separated by an equal interval of 360 ° / η. In this example Where gi and g2 can be seen as a set of first coordinate 第一 and a set of second coordinate 値 'and the positions defined by each pair of coordinates can be calculated, and then used to Simultaneous equations are generated, which can be solved in order to return the resources 8 (read the note on the back ^^ item first, then _ this page) Γ, -'β This paper scale is suitable for Sichuan China Sjia 摞 嗥 ( "NS > Λ4 specification (210 X 297 mm) 4185 8 2 A7 B7 Ministry of Economic Affairs * Biao Huazhuo-hJr; iu; Cooperative Press 54, Invention Description (k) Item {xi, x2, ... xn} When there is a sequence of continuous waveforms, a series of frames can be obtained by sampling between successive delay intervals, and the original data can be regenerate arithmetically from these frames. The data can be read in the synthetic wave defect The amplitude of each step is restored. Another feature of the present concept of the present invention is a signal encoding device, which includes Including: a data input port to receive a set of n items {χι, χ2, ... ~}, an encoding function port to receive a set of P items {A, f2, ... fp} encoding functions < and a The encoding processor uses the encoding function to encode the data into a set of encoded data of m terms {y ,, y2, ... ym}, where {yi, y2, is obtained from: yi = (Xi.fi , X2.f2, ... Xn-fn)
Vi = (Xl.f2, X2-f3, -.Xn.fn+l) ym (X1 ·fn，乂2.fn+1，··.Xn*f〇 + n)。 資料可藉由一個解碼器加以回復，該解碼器係取樣所 收資斜。如樣並不必要在規律的 _處，但必須事先知道並且適當地相關於編碼函數。 在一種變化中，有一種信號編碼的裝置，其包括： 一資料輸入填以接收一組η項{x!，x2, ...xn}的資料、 一編碼函數埠以接收大於一個的編碼函數Ft，F2，…Fq ---------^------1T------.^ {讳先閱請背面之注意事項再本頁) 本紙浓尺度適用中國國家標半.（（’奶）/\4丨見格（210/297公釐） 4 18 5 8 2 A7 B7 __ 五、發明説明（7 ) ，其各具有P個成員。因此，F,具有{ fu，f12, 〜flp } ; F2 具有{ f21，f22,…f2p };而 具有{ f”，f32,…f3p }等等。Vi = (Xl.f2, X2-f3, -.Xn.fn + l) ym (X1 · fn, 乂 2.fn + 1, ·· .Xn * f〇 + n). The data can be retrieved by a decoder, which is sampled obliquely. This is not necessarily the regular _, but it must be known in advance and properly related to the encoding function. In a variation, there is a signal encoding device, which includes: a data input filled to receive a set of n items {x !, x2, ... xn}, an encoding function port to receive more than one encoding function Ft, F2, ... Fq --------- ^ ------ 1T ------. ^ (For the first time, please read the precautions on this page, then this page) The thick scale of this paper is applicable to China Bid half. (('Milk) / \ 4 丨 see grid (210/297 mm) 4 18 5 8 2 A7 B7 __ 5. Description of the invention (7), each of which has P members. Therefore, F, has { fu, f12, ~ flp}; F2 has {f21, f22, ... f2p}; and has {f ", f32, ... f3p} and so on.
I 在此例中，該編碼處理器係將該組n項{Xl, x2, ..·χη} 的資料編碼成爲一組q項&1，82,83，...8£1}之編碼後的資料’ 其中 gl = (Xl.fu, X2-fl2, ---Xn-fln) g2 = (Χΐ·^21，Χ2·ί*22，-.·χη.ί2η) §q — (X1. fq 1，X2. fq2’ - . Xn. fqn) 接著，該組{gl，g2,g3，…gq}之編碼後的資料可被傳送’ 例如以一串的數位字碼來傳送β 在一個例子中，僅有兩個編碼函數Fi=sin( ω t)以及 FfcoVwt)，並且該些値是沿著一個由相等的間隔360° /η 所隔開的單一週期上分布。在此例中，g!與g2可看出爲一 組第一座標値以及一組第二座標値，並且由每個座標對所 定義出的位置可被計算出，因而接著被用來產生聯立方程 式，該些方程式可以被解出以回復該些資料項{^，X2, …χη}。 當有一序列的連續波形在連續的延遲間隔之間取樣時 可得一連串的値，原始的資料可以從該些植被算術地再生 。資料可以藉由一個讀取在合成波形中每個步階的振幅之 解碼器而被回復。 本發明之目前構思的另一特點是一種信號，其包括一 ---------1¾------1T------.^- (对先閲请背面之注^|^項再¥.、本頁) 經濟部中失標革历Μ工消妒合作社印1=1 本紙張尺度適扣中團囤家標?¢. ( rNS ) Λ4規格（210X 297公：g } 經濟部中央標枣^工消合作社印裝 418 5 8 2 a 7 B7 五、發明説明（ 組η項{xh x2, ...xn}的資料，其係利用一組p項{f,，f2, …fp}的_碼函數而被編碼成爲一組m項{yu yz，...ym}的編 碼後資料，其中{y!，y2, 係由以下而得： yt = (Xi-fi, X2.f2, ..-Xn-fn) y2= (Xl-f2, X2-f3, ...X„.fn+l) ytn — (Xl.fn，X2.fn+1，“.Xn.fn+n) 0 圖式之簡要說明 本發明之例子現在將參照附圖來加以說明，其中： 圖1是一組資料被編碼進入的一個餘弦波形。 圖2是一連串具有相同頻率、在延遲的時間間隔下的 正弦波，個別的資料組係分別被編碼到其中。 圖3是總和圖2的正弦波所形成的合成正弦波。 圖4是資料組被編碼進入的一個合成矩形波。 圖5是一個具有同步化之解調變器的方塊圖。 圖6是一個顯示用於一個取樣的解調變器之取樣時序 的時序圖》 圖7是一個解調變器電路的方塊圖》 圖8是一個同步化電路的方塊圖》 圖9是另一個同步化電路的方塊圖。~ 本發明之最佳模式之詳細說明 在第一個實例中有12項的資料X(t)，並且編碼函數F 是餘弦函數。此餘弦函數係每隔360°重複一次，並且其 本紙張尺度適州中國囤家椋牟（（:NS > Λ4ί^格（2i〇X 297公釐） (对先閱讀背面之注<!^項再^>^本頁} -1* τ 4 185 8 2 A7 經濟部中失標羋局^工消阶合作社印裝 B7五、發明説明（1) 12項係以相等的間隔取出，因而資料可以在沿著餘弦波的 一週期_[： 12個相等間隔的點上加以表示。 具有π項的資料組X(t)在此實例中爲： {12, 11，10, 9, 8, 7, 6, 5, 4, 3, 2, 1} 具有12項的編碼函數組係爲： {cos[PI*(0/180)], cos[PI*(30/l 80)]， cos[PI*(60/180)], cos[PI*(90/180)], cos[H*(120/180)]， cos[PI*(150/180)], cos[PI*(180/180)], cos[PI*(210/180)], cos[PI*(240/180)], cos[PI*(270/180)]s cos[PI*(300/l80)], cos[PI*(330/l80)]} ； 在編碼開始前，12項的編碼函數係敗表沿著餘弦波上 的12個等距的點，以PI/6的相等步階從cos(〇)延伸到 cos(UPI/6)。 編碼後的12項Y⑴係由以下而得： Y(l)=列矩陣{cos[PI*(0/180)]，cos[PI*(30/180)], cos[PI*(60/180)]， cos[PI*(90/180)]， cos[PI*(120/l 80)], cos[PI*(150/180)], cos[PI*(180/180)], * cos[PI*(210/180)], cos[PI*(240/180)], cos[PI*(270/l 80)], cos[PI*(300/l 80)], cos[PI*(330/180)]}與行矩陣{12, 11，10, 9, 8, 7, 6, 5, 4, 3, 2, 1}的矩陣相乘以得到單一値6.1504、 Y(2)=列矩陣{ cos[PI*(30/180)]，cos[PI*(60/180)]， cos[PI*(90/180)], cos[H*(120/180)]， cos[PI*(150/180)], cos[PI*(180/180)], cos[PI*(210/180)], cos[PI*(240/180)], cos[PI*(270/180)]，cos[PI*(300/180)], cos[PI*(330/180)3, cos[PI*(0/180)] }與行矩陣{12, 11，10, 9, 8, 7, 6, 5, 4, 3, 2, ___12__ 各紙張尺度適州中國图家標苹（rNS ) 格（.210X297公嫠} 418582 A7 B7 經濟部中央標隼局β工消"合作社印製 五、發明説明（p) 1}的矩陣相乘以得到單一値-5.8633、 Y(3)=列矩陣{cos[PI*(60/180)]，cos[PI*(90/180)]， ί cos[PI*(120/180)], cos[PI*(150/180)], cos[PI*(l 80/180)], cos[PI*(210/180)], cos[PI*(240/180)], cos[PI*(270/l 80)], cos[PI*(300/180)], cos[PI*(330/180)], cos[PI*(0/l 80)]， cos[PI*(30/180)]}與行矩陣{12, 11，10, 9, 8, 7, 6, 5, 4, 3, 2, 1}的矩陣相乘以得到單一値-16.3911、 Y(4)=列矩陣{ cos[PI*(90/180)]，cos[PI*(120/180)]， cos[PI*(150/180)], cos[PI*(180/180)], cos[PI*(210/l 80)], c〇s[PI*(240/180)], cos[PI*(270/l 80)], cos[PI*(300/180)], cos[PI*(330/180)], cos[PI*(0/180)], cos[PI*(30/l 80)], cos[PI*(60/180)]}與行矩陣{12, 11，10, 9, 8, 7, 6, 5, 4, 3, 2, 1}的矩陣相乘以得到單一値-22.4967、 等等直到 Y(12)=列矩陣{cos[PI*(330/180)]，cos[PI*(0/180)]， cos[PI*(30/180)], cos[PI*(60/180)], cos[PI*(90/180)], cos[PP(120/180)], cos[PI*(150/180)]， cos[PI*(180/180)], costPI*(210/180)], cos[PI*(240/180)], cos[PI*(270/180)]， cos[PI*(300/180)]}與行矩陣{12, 11，l〇, 9, 8, 7, 6, 5, 4, 3, 2, 1}的矩陣相乘以得到單一値16.3923。 應可體認的是’由於U個編碼點係以~沿著整個波形相 等間隔來加以選取，因此第十三個値等於第一個値、第十 四個値等於第二個値、等等，因而只有該12個値被用來編 碼該信號。 13 (邻先閱讀背而之注^^項再填於本頁) t ΎΛ'· r 良 本紙張尺度適川中國S家標苹（rNS ) Λ4%格（210X297公釐） A7 4 1 85 8 2 五、發明説明（Η ) 編碼後的値之整組Y(t)係爲： {6.1504, -5.8633, -16.3911, -22.4967, -22.4834,-16.3931, -5.9398, 6.0456, 16.3926, 22.3773, 22.3923, 16.3923} 並且該些値可被繪製而得圖1中所示的波形。 檢視圖1將顯示出該波形是具有一特定振幅與相位的 餘弦波之完整取樣的波長。該波形的餘弦形狀係不論輸入 資料爲何均被保持住，因爲整組的輸入資料均被用來決定 每個被編碼的値。編碼後的波形可被傳送，並且假設同步 化被維持之下有很小的雜訊，因而振幅可在具有充足的準 確性之下加以讀出，接著12個編碼後的値可從接收到的波 形加以讀出。若有需要的話，該波形的數種波長可被送出 來增進讀取的準確性> 一旦該12個編碼後的値從該波形被回復時，其可以利 用對於編碼函數的認知以及反逆矩陣的技術而加以解碼如 下： y(tl) = Xl COS(£*Jti+ 0 ) + X2 C0S(0)t|+2 0)+ ...Xn COs( <5ϋ ti+n Θ ) y(t2) = Xl C0S(0Jt2+ Θ ) + X2 COs(6)t2+2 Θ) + ...Xn COS(Cl) t2+n Θ ) 等等直到 1 y(tl2) = Xl C0S(0Jti2+ 0 ) + X2 COS(〇Jtl2+2 0)+ ...X„ C0S( ωί|2+η Θ ) 若不同的取樣時刻ti係被事先(priori)定義’則沒有必 本紙張尺度適川中國围家榡苹（（:NS j Λ4現格（2!〇X297公釐） ---------装------1T------ii ("先閱讀背而之注意事項再填文'本頁) 經濟部中央標準局負工消资合作社印敦 418582 A7 經濟部中央榡隼巧只工消f合作社印裝 五、發明説明（|~y) 要來傳送任何的時序資訊，否則時序資訊也必須被傳送以 容許藉由同步化的取樣來重建資料。 y(t〇可以被表示成一個行矩陣’該行矩陣等於該cos 項的正方矩陣與x(ti)或是資料項的列矩陣之矩陣乘法，如 下： y(t〇 = cos(<y ti+ θ ) cos(6i；ti+2 θ) ... cosiojt^n θ ) χι y(t2) = cos(6)t2+0) cos(wt2+2 0)…cos(ot2+n 0 ) x2 等等直到 y(tl2) = COs( ω ti2+^ ) COs( <JL> ti2+2 ^ ) ,..COs(it> ti2+n ^ ) Xl2 由於y(ti)被量測且波形的頻率成爲ω ’此可被用於解 x(t)，因而該組X⑴可以被回復： {12, 11，10, 9, 8, 7, 6, 5, 4, 3, 2, 1} 此外，這個例子更有一些特徵。例如，如圖2中所示 ，連續的資料組可以被編碼成一序列的具有相同頻率之連 續的正弦波，該些正弦波係彼此相對爲延遲的。當該些正 弦波被慎重選擇時，其總和的結果可能不是一種正弦波’ 而可能是如圖3中所示的爲一種在適當的取樣之下產生一 個三角矩陣之複雜波。在連續的延遲間隔之間取樣係產生 —連串的値，原始資料可以從該些値算術地再生β 在另一種變化中，如圖4中所示，-^種虛擬的正弦波 係從具有不同的信號脈衝與空號脈衝比以及不同的振幅之 方波的合成波來加以產生。每個形成該合成波的方波可以 使其振幅乘上資料的一項作爲權値以將資料編碼進入該合 {郐先閱讀背面之注意事項再域X：本頁) •裝. 丁 本紙張尺度通州中國园家標唪（C’NS ) Λ4現格（210X2^7公釐） 4 18 5 8 2 經濟部中央標隼局穷工消费合作社印製 A7 __B7 五、發明説明（f)) 成波形。此波形可加以適當地濾波來平滑之，並且限制其 至所選擇的頻道之頻帶中。資料可以藉由讀取在該合成波 中每個步階之振幅來回復。 藉由適當的設計該波形以對應於該資料序列之下，將 額外的資料載入該波形是可能的。 在第二例子中，一個編碼後的波形並未加以傳送，而 是兩個代表該編碼後的波形之數字係被產生並傳送。 採用相同的12項的資料組X⑴： {12, 11，10, 9, 8, 7, 6, 5, 4, 3, 2, 1} ； 在此例中，該些資料項是利用餘弦與正弦函數之彼此 間隔ΡΙ/36的距離之項來加以編碼。 :吾係選擇利用餘弦函數之以下的12項： {cos[PI*(0/180)]， cos[PI*(-5/180)], cos[PI*(-l〇/l 80)], cos[PI*(-15/180)], cos[PI*(-20/180)], cos[PI*(-25/180)], cos[PI*(-30/180)], cos[PI*(-35/180)], cos[PI*(-40/180)], cos[PI*(-45/180)], cos[PI*(-50/180)], cos[PI*(-55/180)]} 並且此整組係向上延伸至c〇s[PI*(-355/180)p 並且吾係選擇利用正弦函數之以下的12項： {sin[PI*(0/180)], sin[PI*(-5/180)], sin[PI*(-l〇n80)]， sin[PI*(-15/180)], sin[PI*(-20/180)], sin[PI*(-25/l 80)]， sin[PI*(-30/180)], sin[PI*(-35/180)], s'intPI^^O/lSO)], sin[PI*M5/180)], sin[PI*(-50/180)], sin[PI*(-S5/l8〇)]} 並且此整組也向上延伸至^11171-(-355/180)]。 該些資料項係被編碼成爲兩個數目α與Θ如下·· (对先閱讀背面之注意事項再本頁) .裝· 订 線 本紙張尺度適Jfl中1國家榡嘩（（，NS ) Λ4規格（21〇 X 297公釐} 經濟部中央樣率趵只工消於合作社印製I In this example, the encoding processor encodes this set of n items {Xl, x2, .. · χη} into a set of q items & 1,82,83, ... 8 £ 1} Encoded data 'where gl = (Xl.fu, X2-fl2, --- Xn-fln) g2 = (Χΐ · ^ 21, χ2 · ί * 22,-. · Χη.ί2η) §q — (X1 fq 1, X2. fq2 '-. Xn. fqn) Then, the encoded data of the group {gl, g2, g3, ... gq} can be transmitted', for example, a string of digital word codes is used to transmit β. In an example Among them, there are only two encoding functions Fi = sin (ω t) and FfcoVwt), and these 値 are distributed along a single period separated by an equal interval of 360 ° / η. In this example, g! And g2 can be seen as a set of first coordinate 値 and a set of second coordinate 値, and the position defined by each coordinate pair can be calculated, and then used to generate a joint Equations, which can be solved to recover the data items {^, X2,… χη}. When a series of continuous waveforms are sampled between successive delay intervals, a series of chirps can be obtained, and the original data can be arithmetically reproduced from the vegetation. Data can be retrieved by a decoder that reads the amplitude of each step in the synthesized waveform. Another feature of the present idea of the present invention is a signal, which includes a --------- 1¾ ------ 1T ------. ^-(For the first read, please note on the back ^ | ^ Item again ¥., This page) In the Ministry of Economic Affairs, the history of the off-standards, the calendar, and the jealousy cooperatives printed 1 = 1 This paper size is suitable for the standard of the group storehouse. ¢. (RNS) Λ4 size (210X 297): g} Printed by the Central Ministry of Economic Affairs of the People's Republic of China ^ Printed by the Consumers' Cooperative 418 5 8 2 a 7 B7 V. Description of the invention (group n items {xh x2, ... xn} data, which uses a group of p items {f, , F2,… fp} are encoded into a set of m-item {yu yz, ... ym} encoded data, where {y !, y2, is obtained from: yt = (Xi- fi, X2.f2, ..- Xn-fn) y2 = (Xl-f2, X2-f3, ... X „.fn + l) ytn — (Xl.fn, X2.fn + 1," .Xn .fn + n) 0 Brief Description of the Schematic An example of the present invention will now be described with reference to the drawings, in which: Figure 1 is a cosine waveform into which a set of data is encoded. Figure 2 is a series of sequences with the same frequency and delay For the sine wave at the time interval, the individual data sets are encoded into it separately. Figure 3 is the synthesized sine wave formed by summing the sine waves of Figure 2. Figure 4 is A composite rectangular wave into which the material group is coded. Figure 5 is a block diagram of a demodulator with synchronization. Figure 6 is a timing diagram showing the sampling timing of a demodulator for a sample. Figure 7 Figure 8 is a block diagram of a demodulator circuit. Figure 8 is a block diagram of a synchronization circuit. Figure 9 is a block diagram of another synchronization circuit. ~ A detailed description of the best mode of the present invention is in the first example. There are 12 items of data X (t), and the coding function F is a cosine function. This cosine function is repeated every 360 °, and its paper size is suitable for Chinese stores in China. ((: NS > Λ4ί ^ 格(2i〇X 297 mm) (Read the note on the back <! ^ Item again ^ > ^ this page} -1 * τ 4 185 8 2 A7 Equipment B7 V. Description of the Invention (1) The 12 items are taken at equal intervals, so the data can be represented at a period _ [: 12 points at equal intervals along the cosine wave. A data group with π terms X ( t) In this example: {12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1} The system of encoding functions with 12 terms is {cos [PI * (0/180)], cos [PI * (30 / l 80)], cos [PI * (60/180)], cos [PI * (90/180)], cos [H * (120/180)], cos [PI * (150/180)], cos [PI * (180/180)], cos [PI * (210/180)], cos [PI * (240/180)] , cos [PI * (270/180)] s cos [PI * (300 / l80)], cos [PI * (330 / l80)]}; Before the encoding started, the 12-item encoding function system failed. The 12 equidistant points on the cosine wave extend from cos (〇) to cos (UPI / 6) in equal steps of PI / 6. The 12 items of Y⑴ after encoding are obtained as follows: Y (l) = column matrix {cos [PI * (0/180)], cos [PI * (30/180)], cos [PI * (60/180 )], Cos [PI * (90/180)], cos [PI * (120 / l 80)], cos [PI * (150/180)], cos [PI * (180/180)], * cos [PI * (210/180)], cos [PI * (240/180)], cos [PI * (270 / l 80)], cos [PI * (300 / l 80)], cos [PI * ( 330/180)]} multiplied by the matrix of the row matrix {12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1} to get a single 値 6.1504, Y (2) = column Matrix {cos [PI * (30/180)], cos [PI * (60/180)], cos [PI * (90/180)], cos [H * (120/180)], cos [PI * (150/180)], cos [PI * (180/180)], cos [PI * (210/180)], cos [PI * (240/180)], cos [PI * (270/180)] , Cos [PI * (300/180)], cos [PI * (330/180) 3, cos [PI * (0/180)]} and the row matrix {12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, ___12__ Shizhou China Tujia Ping (rNS) grid (.210X297) 418582 A7 B7 Central Bureau of Standards, Ministry of Economic Affairs, β & Consumer Printing Description of the invention (p) 1} matrix is multiplied to get a single unitary -5.8633, Y (3) = column matrix {cos [PI * (60/180)], cos [PI * (90/180)], ί cos [PI * (120/180)], cos [PI * (150/180)], cos [PI * (l 8 0/180)], cos [PI * (210/180)], cos [PI * (240/180)], cos [PI * (270 / l 80)], cos [PI * (300/180)] , cos [PI * (330/180)], cos [PI * (0 / l 80)], cos [PI * (30/180)]} and the row matrix {12, 11, 10, 9, 8, 7 , 6, 5, 4, 3, 2, 1} matrix is multiplied to get a single 値 -16.39111, Y (4) = column matrix {cos [PI * (90/180)], cos [PI * (120 / 180)], cos [PI * (150/180)], cos [PI * (180/180)], cos [PI * (210 / l 80)], c〇s [PI * (240/180)] , cos [PI * (270 / l 80)], cos [PI * (300/180)], cos [PI * (330/180)], cos [PI * (0/180)], cos [PI * (30 / l 80)], cos [PI * (60/180)]} and the matrix of the row matrix {12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1} Multiply to get a single 値 -22.4967, etc. until Y (12) = column matrix {cos [PI * (330/180)], cos [PI * (0/180)], cos [PI * (30/180) ], cos [PI * (60/180)], cos [PI * (90/180)], cos [PP (120/180)], cos [PI * (150/180)], cos [PI * ( 180/180)], costPI * (210/180)], cos [PI * (240/180)], cos [PI * (270/180)], cos [PI * (300/180)]} and line The matrix {12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1} is multiplied to get a single unitary 16.6323. It should be recognizable that 'Because U code points are selected at equal intervals along the entire waveform, the thirteenth 値 is equal to the first 値, the fourteenth 値 is equal to the second 値, and so on Therefore, only the 12 chirps are used to encode the signal. 13 (I read the note ^^ next to the next page, and then fill in this page) t ΎΛ '· r Good paper size suitable for Sichuan S family logo (rNS) Λ 4% grid (210X297 mm) A7 4 1 85 8 2 V. Description of the invention (Η) The entire set of Y (t) of the coded 値 is: {6.1504, -5.8633, -16.3911, -22.4967, -22.4834, -16.3931, -5.9398, 6.0456, 16.3926, 22.3773, 22.3923 , 16.3923} And these chirps can be plotted to get the waveform shown in Figure 1. View 1 will show that the waveform is a fully sampled wavelength of a cosine wave with a specific amplitude and phase. The cosine shape of this waveform is maintained regardless of the input data, because the entire set of input data is used to determine each coded chirp. The encoded waveform can be transmitted, and assuming that there is little noise under synchronization, the amplitude can be read out with sufficient accuracy, and then the 12 encoded chirps can be received from the received The waveform is read out. If necessary, several wavelengths of the waveform can be sent to improve the accuracy of reading. Once the 12 encoded chirps are recovered from the waveform, they can use the recognition of the encoding function and the inverse matrix. Decode it as follows: y (tl) = Xl COS (£ * Jti + 0) + X2 C0S (0) t | +2 0) + ... Xn COs (< 5ϋ ti + n Θ) y (t2) = Xl C0S (0Jt2 + Θ) + X2 COs (6) t2 + 2 Θ) + ... Xn COS (Cl) t2 + n Θ) and so on until 1 y (tl2) = Xl C0S (0Jti2 + 0) + X2 COS (〇Jtl2 + 2 0) + ... X „C0S (ωί | 2 + η Θ) If different sampling times ti are defined in advance (priori), then the paper size is not necessary. (: NS j Λ4 is present (2! 〇X297 mm) --------- installation ------ 1T ------ ii (" read the precautions first and then Fill in this page) The Central Standards Bureau of the Ministry of Economic Affairs, Consumers and Consumers Cooperatives, India 418582 A7 The Ministry of Economic Affairs, the Central Government, and the Consumers Cooperatives, Cooperatives, F. Cooperative Fifth, Invention Description (| ~ y) To transmit any timing information, Otherwise the timing information must also be transmitted to allow the data to be reconstructed by synchronized sampling. Y (t0 can be expressed as Into a row matrix 'The row matrix is equal to the matrix multiplication of the square matrix of the cos term and the column matrix of x (ti) or the data item, as follows: y (t〇 = cos (< y ti + θ) cos (6i; ti + 2 θ) ... cosiojt ^ n θ) χι y (t2) = cos (6) t2 + 0) cos (wt2 + 2 0) ... cos (ot2 + n 0) x2 and so on until y (tl2) = COs (ω ti2 + ^) COs (< JL > ti2 + 2 ^), .. COs (it > ti2 + n ^) Xl2 Since y (ti) is measured and the frequency of the waveform becomes ω 'This can be used Since solution x (t), the group X⑴ can be replied: {12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1} In addition, this example has some features. For example As shown in Figure 2, a continuous data set can be encoded into a sequence of continuous sine waves with the same frequency, the sine waves are delayed relative to each other. When the sine waves are carefully selected, their sum The result may not be a sine wave 'but may be a complex wave that generates a triangular matrix with appropriate sampling as shown in FIG. 3. Between successive delay intervals, the sampling system produces a series of 値, and the original data can be arithmetically reproduced from these 値. In another variation, as shown in Figure 4,-^ virtual sine wave systems have Different signal pulse to space pulse ratios and square waves with different amplitudes are generated. Each square wave forming the composite wave can multiply its amplitude by one of the data as a weight to encode the data into the combination {郐 read the precautions on the back first and then field X: this page) • Packing. Ding paper Standard Tongzhou Chinese Garden House Mark (C'NS) Λ4 is present (210X2 ^ 7 mm) 4 18 5 8 2 Printed by A7 __B7 by the Poor Workers Consumer Cooperatives of the Central Bureau of Standards of the Ministry of Economic Affairs 5. Description of the invention (f)) Waveform. This waveform can be appropriately filtered to smooth it and limit it to the frequency band of the selected channel. The data can be recovered by reading the amplitude of each step in the synthetic wave. By appropriately designing the waveform to correspond to the data sequence below, it is possible to load additional data into the waveform. In the second example, an encoded waveform is not transmitted, but two numbers representing the encoded waveform are generated and transmitted. Use the same 12-item data set X⑴: {12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; in this example, the data items use cosine and sine The terms of the function are separated by a distance of PI / 36 from each other. : We choose to use the following 12 terms of the cosine function: {cos [PI * (0/180)], cos [PI * (-5/180)], cos [PI * (-l〇 / l 80)] , cos [PI * (-15/180)], cos [PI * (-20/180)], cos [PI * (-25/180)], cos [PI * (-30/180)], cos [PI * (-35/180)], cos [PI * (-40/180)], cos [PI * (-45/180)], cos [PI * (-50/180)], cos [PI * (-55/180)]} and this whole system extends upwards to c0s [PI * (-355/180) p and we choose to use the following 12 terms of the sine function: {sin [PI * (0 / 180)], sin [PI * (-5/180)], sin [PI * (-l〇n80)], sin [PI * (-15/180)], sin [PI * (-20/180 )], sin [PI * (-25 / l 80)], sin [PI * (-30/180)], sin [PI * (-35/180)], s'intPI ^^ O / lSO)] , sin [PI * M5 / 180)], sin [PI * (-50/180)], sin [PI * (-S5 / l8〇)]} and this whole group also extends up to ^ 11171-(-355 / 180)]. These data items are coded into two numbers α and Θ as follows ... (Read the notes on the back first, then this page). Binding and binding The paper size is suitable for 1 country in Jfl ((, NS) Λ4 Specifications (21〇X 297 mm) Central sample rate of the Ministry of Economic Affairs
4 1 8 5 B A7 _____—__B7__ 五、發明说明（"巧4 1 8 5 B A7 _____—__ B7__ 5. Description of the invention (" qiao
L α=列矩陣{cos[pi*(〇/i8〇)]，c〇s[PI*(-5/180)]，cos[Pl*(-10/180)], c〇s[PI*(-i5/i8〇)]，cos [PI*(-20/180)], cos[PI*(- 25/180)], cos[PI*(_3〇/j 80)], cos [PI*(-35/180)], cos[Pl*(-40/180)], cos[PI*(-45/i8〇)], cos[PI*(-50/l 80)], cos[Pl*(* 55/180)]}與行矩陣{12, 11，10, 9, 8, 7, 6, 5, 4, 3, 2, 1}的矩 陣相乘以得到單一値71.8。 並且 Θ =列矩陣{sin[PI*(0/180)]，sin[PI*(-5/l8〇)]， sin[PI*(-l〇/180)]s sin[PI*(-15/180)], sin[PI*(-20/18〇)]， sin[PI*(-25/180)]5 sin[PI*(-30/180)], sin[PI*(-35/l8〇)]， sin[PI*(-40/180)], sin[PI*(-45/l 80)], sin[PI*(-50/l80)], sin[PI*(-55/180)]}與行矩陣{12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1}的矩陣相乘以得到單一値_23.59。 然後，此雨個數目α與沒可以用任何習知的方式加以 調變，例如利用數據機來產生數位字組，並且加以傳送。 接著，原始的資料可利用已知從編碼函數所選出的項之下 ，從α與Θ算術地加以回復。此被回復的資料之準確度將 會視用於編碼與解碼函數中的餘弦與正弦値之準確度而定 〇 解碼係藉由對於不同的h，i=l, 2,…12產生y(t〇來解 碼α與/3，其中 y(t〇 =aCos[PI*(0/180)] + y3 Sin[PI*(i)/180)] y(t2)=aCos[PI*(-5/180)] + iSSin[PI*(-5/180)] (对先閱讀背面之注意事項再ί本頁) -裝_ 訂 本紙张尺度適川中國围家標华（（1NS > Λ4规格（210X 29?公t ) 4185 8 2 A7 經濟部中夾搮準局爲工消费合作社印^ _____B7___ 五、發明説明（ y(ti2) =aC〇s[PI*(-55/180)] + y5 Sin[PI*(-55/180)] 從上各個式子可計算出y(ti)〇由於y(t〇可以被寫成 y(t〇 = xi cos(6)t!+0) + χ2 cos(itJti+2 0)+ ...x„ cos(〇) ti+n Θ ) y(t2) = xi cos(〇)t2+0) + x2 cos(〇)t2+2 0) + ...x„ cos(6J t2+n Θ ) ♦ y(ti2) = Xi c〇s(<yti2+ 0 ) + X2 COS(6)ti2+2 0 ) + …xn cos(i^ti2+n Θ ) 或者是矩陣的相乘： y(ti) = cos(<iJti+ Θ ) ο〇5(ωΪ!+2 (9 ) ... cos(<iL)ti+n Θ ) X( y(t2) = cos(<yt2+ 0 ) cos(〇)t2+2 Θ )…cos(6Jt2+n 0 ) x2 等等直到 y(tl2) = COS(OJti2+0) COS(〇Jti2+2 0) Xl2 因此，此可被用於解X(ti)，因而該組x⑴可以被回復 {12, 11，10, 9, 8, 7, 6, 5, 4, 3’ 2, 1} 一個用於正交調變信號之取樣解調變(器的方塊圖係被 表示於圖5與6中》此解調變器是被用來解調變該被調變 在單一頻率之信號。解調變器1係包括一個直接連接到取 樣器4的信號輸入3之信號輸入埠2。該信號输入埠2也 I— 1 訂 1 . . ^ A {邡先閱讀背面之注意事項再谈入本頁) 本紙張尺度適;丨]中國S家榡準{ CNS ) Λ4規格（2!〇X 297公釐） 4 1 8 冗.4 1858 2五、發明説明（ 經由一個在該調變頻率之下穩定的振盪器7所送入的混合 器6、一個濾波器8以及一個相鎖迴路9連接到取樣器4 的取樣ίΐ入5。被施加到取樣器4的信號輸入5之取樣信 號SH1與SH2係被顯示於圖6之中。 應體認的是，取樣不一定要放在相等的間隔上、或是 2*;τ/η。然而，取樣必須根據編碼函數而加以選擇’因而 必須事先知道。 來自取樣器4的輸出埠1〇之取樣的輸出Z(ti)係被施 加到一個數位信號處理器Η以回復原先被調變的資料取樣 ----------^! (銷先閱讀背面之注f項再矽太本頁) Μ濟部中央標率局貝工消步合作社印裝 n ri z(f)=Σ (f)c〇s 1 ^c〇s +Σ ^1 ^^ ί·1 ί*1 一般的正交信號係爲 並且其等效表示式爲 z(〇 = ^^(Ocos(奴一祕） r-t N個連續的取樣可以藉由將該取樣器與coszt同步化 來加以獲得。利用標準的正交解調變技術，藉由將z⑴乘 上COS ωί並且積分之，吾可得到 =j^jc(i)cos0cos2fiif Jrt-l 相位鎖至cos2at之下，z(t)可以被正確地取樣在（wt-i 0)對於i=l，2,...η。這些取樣接著係被送入該數位信號處理 器，在其中個別的xi, i=l,2，...η係被算出》 該解調變器需要傅輸爲一個週期來回復資訊。然而， 19 本紙張尺度適川中國國家榡苹（C:NS } Λ4規格（2丨OX297公着） 訂 線 經濟部中夾橾隼局爲工汸費合作社印裝 4 1858 2 A7 __B7________ 五、發明説明（（q) 由於具有雜訊的頻道以及冗餘的需求之緣故’傳輸系統可 以選擇多週期的系統。在每個週期所獲得的資料可以用各 種的方^加以處理，此可增進信號檢測的效能’視所利用 的演算法而定。 在此所示的爲對於正交調變而言，一種僅利用非常簡 單的電路之同步的取樣技術可爲有效的。 在此更顯示除了只有兩個額外的頻道之外，此正交調 變的技術利用取樣技術以及用於解調變的逆矩陣運算係可 被擴展至多個頻道。 ： 其更顯示當取樣的解調變技術被利用時，資訊可用一 個載波頻率的週期來加以傳送。 一個解調變電路可以如圖7中所示地動作，其中進入 的信號y⑴係在一個取樣電路12中被取樣，其中該取樣時 脈是根據一個同步化的時序或是頻率，並且接著該取樣信 號在到達一個決定電路14之前係被送入數位信號處理器 13，該決定電路Η係回復原始的資料Xij對於i=l,2,...η以 及 j=l，2”..n。 如圖8中所示，爲了驅動該取樣電路12，取樣的脈衝 係藉由將進入的信號y(t)施加至一個相鎖迴路15然後到一 個脈衝導出電路16而從該信號y⑴中加以回復，其中該參 考頻率是原始的調變頻率w。。此解調變電路係被用來解調 變一個被編碼成具有不同的頻率之加權後的信號總和之信 號’在可以是任意選擇的一個相位角之處開始，但該相位 角必須爲已知的。 ____20_ 本紙張尺度i®川不咖家樣率（CNS > Λ4胁（210X297公釐) * *" {却先聞靖背面之注意事項再填氣本頁} 裝 *ϊτ 線 -----•—wg— 4 185 8 2 五、發明说明uf) 或者是，如圖9中所示，兩個相鎖迴路可加以利用。 在此，進入的調變後之信號y⑴係被施加到分別被鎖在不 同頻率i不同的相鎖迴路17與18。取樣脈衝導出電路16( 與圖8中的電路相同)係被設置在每個通道中，如同回復該 些資料％信號的數位信號處理器一般地被設置。 再次應體認的是，取樣的時機並不一定要均勻地分布 ，但必須根據編碼函數來加以選擇並且必須事先知道。 熟習此項技術者將可體認到在不脫離已廣泛敘述之本 發明之精神或範噃之下，對於如該等特定實施例中所示的 本發明可以做各種的變化與/或修改。因此，該等實施例在 各個方面均應被認作是說明性質而非限制性的。 (讳先閱讀背面之注意事項再填寫本頁) .裝 訂 線彳. 經濟部中央橾嗥局β工消於合作社印製 本紙悵尺度適用中國围家標嗥（（、NS ) Λ4規格（210Χ297公t )L α = column matrix {cos [pi * (〇 / i8〇)], cos [PI * (-5/180)], cos [Pl * (-10/180)], cos [PI * (-i5 / i8〇)], cos [PI * (-20/180)], cos [PI * (-25/180)], cos [PI * (_ 3〇 / j 80)], cos [PI * (-35/180)], cos [Pl * (-40/180)], cos [PI * (-45 / i8〇)], cos [PI * (-50 / l 80)], cos [Pl * (* 55/180)]} is multiplied by the matrix of the row matrix {12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1} to get a single 値 71.8. And Θ = column matrix {sin [PI * (0/180)], sin [PI * (-5 / l8〇)], sin [PI * (-l〇 / 180)] s sin [PI * (-15 / 180)], sin [PI * (-20 / 18〇)], sin [PI * (-25/180)] 5 sin [PI * (-30/180)], sin [PI * (-35 / l8〇)], sin [PI * (-40/180)], sin [PI * (-45 / l 80)], sin [PI * (-50 / l80)], sin [PI * (-55 / 180)]} multiplied by the matrix of the row matrix {12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1} to get a single 値 _23.59. Then, the number of rains α and can not be adjusted in any conventional manner, such as using a modem to generate digits and transmitting them. Then, the original data can be arithmetically recovered from α and Θ using the terms known from the encoding function. The accuracy of the returned data will depend on the accuracy of the cosine and sine used in the encoding and decoding functions. The decoding is performed by generating y (t for different h, i = 1, 2, ... 12 〇 to decode α and / 3, where y (t〇 = aCos [PI * (0/180)] + y3 Sin [PI * (i) / 180)] y (t2) = aCos [PI * (-5 / 180)] + iSSin [PI * (-5/180)] (read the precautions on the back of this page first, and then hl this page)-Packing _ The size of the paper is suitable for Sichuan China Weijiabiaohua ((1NS > Λ4 specifications ( 210X 29? Public t) 4185 8 2 A7 Printed by the Ministry of Economic Affairs of the Ministry of Economic Affairs of the Industrial and Consumer Cooperatives ^ _____B7___ V. Description of the invention (y (ti2) = aC〇s [PI * (-55/180)] + y5 Sin [PI * (-55/180)] From the above formulas, y (ti) can be calculated. Since y (t〇 can be written as y (t〇 = xi cos (6) t! +0) + χ2 cos ( itJti + 2 0) + ... x „cos (〇) ti + n Θ) y (t2) = xi cos (〇) t2 + 0) + x2 cos (〇) t2 + 2 0) + ... x „Cos (6J t2 + n Θ) y (ti2) = Xi c〇s (< yti2 + 0) + X2 COS (6) ti2 + 2 0) +… xn cos (i ^ ti2 + n Θ) or Multiplication of matrices: y (ti) = cos (< iJti + Θ) ο〇5 (ωΪ! +2 (9) ... cos (< iL) ti + n Θ) X (y (t2) = cos (< yt2 + 0 ) cos (〇) t2 + 2 Θ) ... cos (6Jt2 + n 0) x2 and so on until y (tl2) = COS (OJti2 + 0) COS (〇Jti2 + 2 0) Xl2 Therefore, this can be used to solve X (ti), so the group x⑴ can be restored {12, 11, 10, 9, 8, 7, 6, 5, 4, 3 '2, 1} A sample demodulation for quadrature modulation signals (The block diagram of the converter is shown in Figures 5 and 6. "This demodulator is used to demodulate the signal being modulated at a single frequency. The demodulator 1 includes a direct connection to the sampler Signal input port 2 of signal input 4 of 4. This signal input port 2 is also I—1 ordered 1.. ^ A {邡 Read the precautions on the back before entering this page) The paper size is appropriate; 丨] China S home榡 准 {CNS) Λ4 specification (2! 〇X 297 mm) 4 1 8 redundant. 4 1858 2 5. Description of the invention (mixer 6 fed through an oscillator 7 stable below the modulation frequency A filter 8 and a phase-locked loop 9 are connected to the sampling input 5 of the sampler 4. The sampling signals SH1 and SH2 applied to the signal input 5 of the sampler 4 are shown in FIG. It should be recognized that sampling does not have to be placed at equal intervals, or 2 *; τ / η. However, the sampling must be selected based on the encoding function 'and therefore must be known in advance. The sampled output Z (ti) from the output port 10 of the sampler 4 is applied to a digital signal processor to restore the previously modulated data sample .-------- ^! (Pin Read the note f on the back first, and then the page on this page.) Printed by the Central Laboratories of the Ministry of Economic Affairs, Peigong Consumer Cooperative, n ri z (f) = Σ (f) c〇s 1 ^ c〇s + Σ ^ 1 ^^ ί · 1 ί * 1 The general orthogonal signal system is and its equivalent expression is z (〇 = ^^ (Ocos (奴 一秘) rt N consecutive samples can be obtained by coordinating the sampler with coszt Obtained by synchronization. Using standard orthogonal demodulation technology, by multiplying z⑴ by COS ωί and integrating it, we can get = j ^ jc (i) cos0cos2fiif Jrt-l phase lock below cos2at, z (t) can be correctly sampled at (wt-i 0) for i = 1, 2, ... η. These samples are then sent to the digital signal processor, where individual xi, i = l, 2, ... η system is calculated. "The demodulator needs to be inputted for one cycle to reply the information. However, 19 paper sizes are suitable for the Chinese national government. (C: NS} Λ4 specification (2 丨 OX297) ) China-East Asia Economic Cooperation Bureau of the Ministry of Orders Cooperates for Labor Expenses Press printed 4 1858 2 A7 __B7________ 5. Description of the invention ((q) Due to the need for channels with noise and redundancy, the transmission system can choose a multi-cycle system. The information obtained in each cycle can be used in various ways This method can improve the performance of signal detection depending on the algorithm used. What is shown here is that for quadrature modulation, a synchronous sampling technique that uses only very simple circuits can It is effective. Here it is shown that in addition to only two additional channels, this orthogonal modulation technique can be extended to multiple channels by using sampling technology and an inverse matrix operation system for demodulation.: It also shows When sampling demodulation technology is used, information can be transmitted with a period of a carrier frequency. A demodulation circuit can operate as shown in FIG. 7, where the incoming signal y is in a sampling circuit 12. Being sampled, where the sampling clock is based on a synchronized timing or frequency, and then the sampling signal is sent to the digits before reaching a decision circuit 14 Processor 13, the decision circuit does not return the original data Xij for i = 1, 2, ... η and j = 1, 2 ".. n. As shown in FIG. 8, in order to drive the sampling circuit 12 The sampled pulse is recovered from the signal y⑴ by applying the incoming signal y (t) to a phase-locked loop 15 and then to a pulse derivation circuit 16, where the reference frequency is the original modulation frequency w. This demodulation circuit is used to demodulate a signal that is coded into the sum of weighted signals with different frequencies, starting at a phase angle that can be arbitrarily selected, but the phase angle must be known. ____20_ This paper scale i® Chuanbuca home sample rate (CNS > Λ4 threat (210X297 mm) * * " {However, please pay attention to the precautions on the back of Jing before filling this page} Install * ϊτ line ---- -• —wg— 4 185 8 2 V. Description of the invention uf) Alternatively, as shown in Fig. 9, two phase-locked loops can be used. Here, the incoming modulated signal y⑴ is applied to the phase-locked circuits 17 and 18 which are respectively locked at different frequencies i. The sampling pulse derivation circuit 16 (same as the circuit in Fig. 8) is provided in each channel, as is a digital signal processor that responds to these data% signals. It should be recognized again that the sampling timing does not have to be evenly distributed, but must be selected according to the coding function and must be known in advance. Those skilled in the art will recognize that various changes and / or modifications may be made to the invention as shown in the specific embodiments without departing from the spirit or scope of the invention as broadly described. Therefore, these embodiments should be considered in all respects as illustrative and not restrictive. (Please read the notes on the back first and then fill out this page). Binding line. The central government bureau of the Ministry of Economic Affairs β printed on the paper at the cooperative. The standard applies to the Chinese house standard ((, NS) Λ4 size (210 × 297). t)