WO2004098139A1

WO2004098139A1 - A multi-modulation transmitting method

Info

Publication number: WO2004098139A1
Application number: PCT/CN2003/000321
Authority: WO
Inventors: Dequn Liang
Original assignee: Dequn Liang
Priority date: 2003-04-30
Filing date: 2003-04-30
Publication date: 2004-11-11
Also published as: CA2527633A1; JP2006524923A; AU2003231522A1; KR20060119713A; CN1765092B; KR100974533B1; CN1765092A

Abstract

A multi-modulation transmitting method which combines a plurality of independent sine waves into a composite wave which is a non-orthogonal multi-modulation symbol, wherein each of said independent sine waves is referred to as sub-wave, the amplitude, frequency and phase of said independent sine wave can be any value within the value range thereof, and each of said independent sine waves are non-orthogonal to each other; the composite wave is multi-point sampled; each sub-waves of said non-orthogonal multimodulation symbol are decomposed in order to realize data communication. It can improve the frequency utilization and signalnoise ratio greatly, which can in turn increase the transmit rate greatly.

Description

Multiple modulation transmission method

Technical field

The present invention belongs to the field of digital communication technology; specifically, it is a multiple modulation transmission method. Background technique

If baseband transmission is considered as zero modulation, all digital communication signals need to be modulated before being sent to the channel. The modulated signal is called a line code. The signal that is modulated in carrier transmission is a sinusoidal waveform. Increasing the type of waveform can increase the number of bits (ie, the amount of information) carried by the modulation signal, and the transmission rate increases. The variation of a sine-like waveform depends on three parameters: amplitude, frequency, and phase. Obviously, the more parameters that can be controlled simultaneously, the more kinds of waveforms are generated.

In the existing modulation methods, a maximum of two parameters are controlled simultaneously. For example: Multi-carrier is a combination of multiple orthogonal sine waves of different frequencies and amplitudes into one wave. Multi-ary amplitude and phase modulation (such as multi-ary quadrature modulation-MQAM) is a multi-amplitude difference that sets the two groups apart by 90 °. The value sine wave forms a wave. An important feature of these modulation methods is that the individual wavelets that make up the composite wave must be orthogonal to each other. In fact, orthogonality is a principle that must be observed in traditional modulation technology, otherwise demodulation cannot be performed. However, it is this requirement of orthogonality that limits the full use of the three parameters of the sine wave, and thus limits the further improvement of the transmission rate.

Summary of the Invention

An object of the present invention is to provide a multi-modulation transmission method, which can greatly improve the frequency band utilization rate and the signal-to-noise ratio, thereby further improving the transmission rate.

The technical solution of the present invention is:

A multiple modulation transmission method, characterized in that: a plurality of independent sine waves are combined into a composite wave, and the composite wave is a non-orthogonal multiple modulation symbol; wherein: each of the independent sine waves is called a sub-wave Wave, the amplitude, frequency, and phase of the independent sine wave can be arbitrarily selected within its value range, and each of the independent sine waves is non-orthogonal; Multi-sampling the synthetic wave; and decomposing each wavelet in the non-orthogonal multiple modulation symbol to realize data communication.

The synthetic wave includes: a periodic synthetic wave is composed of some single-cycle sine waves with the same cycle, and each sine wave moves one phase in succession, the period of which is smaller than the period of the synthetic wave, and its amplitude is from a specified quantization set Take a value to achieve multiple amplitude and phase modulation baseband transmission.

The non-orthogonal multiple modulation code must meet the following conditions:

Among them: the waveform of one symbol period is a multiple amplitude phase modulation baseband code, which is called an amplitude phase baseband code; an amplitude phase baseband code waveform is a composite wave formed by superposing some wavelets, and its period is called an amplitude phase baseband code code Metacycle

Yes? The duration within the period is the validity period of the wavelet, which is called the sub-validity period. T _h = T _{h + l} = T <f, 2 ₊₁ is delayed 2 r 2; the wavelet is

h = l, 2, ..., H; 11 is the number of internal wavelets _,; is the amplitude, i = l, 2 ,, ..., ffl.

The required bandwidth of the multiple-amplitude-phase modulation baseband code is 0 ~ W, W> l / T; recommended ≥2 / T; the decoding method of the multiple-amplitude-phase-modulation baseband code is: The waves within the validity period of each sub-frame Γ _Λ (h = l, 2,…, H) are calculated as:

F _h (i7) = [ _eTh W _b (t) SIN-{ί- _τΐι ) άί = G _h ; when taking h = l, 2,…, H, we get a system of linear equations:

Wherein: the amplitude corresponding to each wavelet is an element of a coefficient matrix, and the value range is a real number field; by solving this system of equations, the solution of each wavelet can be obtained, thereby realizing multiple amplitude phase modulation baseband transmission.

Carrying the non-orthogonal multiple modulation code carrier to a certain passband higher than the baseband to form a carrier signal, and at the receiving end, the received signal: the carrier signal is first filtered by a bandpass filter, and then decoded to achieve the Carrier transmission of multiple amplitude phase modulated baseband codes.

Forming the multiple-amplitude-phase-modulated baseband code carrier into a certain passband higher than the baseband to form a carrier signal, which needs to satisfy the following conditions: g _c (t) = ¾ cos t;

Recommended 丄_>2;

τ _η τ At the receiving end, the carrier signal cos ^ t is first filtered by a band-pass filter, and then decoded. During decoding, during the overlapping period, operations are performed on the waves in the sub-validity periods Γ _Α (h = 1, 2,…, H), as follows:

2π

F _h (FT) = [ _T S _b (t) SIN ^-{t-T _h ) dt = G _h When taking h = 1, 2,…, H, we get a linear equations:

Among them: Corresponding to the amplitude of each wavelet, ¾ is an element of a coefficient matrix, and the value range is a real number field; by solving this system of equations, the solutions of each wavelet can be obtained, and the carrier transmission of multiple amplitude phase modulation baseband codes is realized.

The synthetic wave includes: a periodic synthetic wave is composed of some sine waves with the same validity period, and the length of the validity period is an integer multiple of a half period of the sine wave and is less than the period of the synthetic wave, Each sine wave moves one phase in succession, and its amplitude takes a value from the specified quantization set; multiple amplitude and phase modulation direct carrier transmission is realized.

The multi-amplitude phase modulation direct carrier transmission needs to meet the following conditions:

H H 2π., — Π

Sab (f) = ∑ g _cbh (t) = ∑ f _h t-r _h ) SIN— (tr _h );

h = lh = l ^X h ¹ Q

Wherein: the symbol period is: Γ _Α is an internal duration, which is the validity period of the wavelet, and is called the sub-validity period, T _h = T _{h + l} = T <T, 1 ₊₁ to 1 delay 7 ,,; The wavelet is g _cb (t) =

h = l, 2, ..., H; H is the number of wavelets in f, is the amplitude, i = l, 2, ..., m;

2 is the period of the sinusoidal carrier, T = ηT. Ι2 + ξ, η = 2% +0.5, | _ "means take off the whole number

L / 0 ”number (remove the decimal part and keep only the integer part),

MeZ (integer field).

Multi-amplitude phase modulation direct carrier transmission requires a bandwidth exceeding (1 / Γ.-1 / Γ ~ 1 / Γ. + 1 / Γ); when decoding, first take out a symbol in the current period F, and then perform the following operations on it :

F _h (g _cb (> = f ° ~ ^Th Wet) SIN (^ L _t -T _h ) dt = G _h When we take h = 1, 2, H, we get a system of linear equations, = G, which means that The formula (1) is the same; the solution of each wavelet can be obtained by solving this system of equations; the direct carrier transmission of multiple amplitude and phase modulation is realized.

The synthetic wave includes: a periodic synthetic wave is composed of some sine waves with different validity periods, the length of the valid period is an integer multiple of a half period of the sine wave, the longest valid period is equal to the period of the composite wave, and the other valid periods are successive Reduce one value, and its amplitude takes one value from the specified quantization set. Multiple carrier frequency modulation direct carrier transmission is realized.

The multiple-amplitude-frequency modulation direct carrier transmission needs to meet the following conditions:

2T

n = + 0.5 fractional part, only the integer part is kept), jo L ″ means take off the integer (remove

Tj-nTj l, T) ≥ ηT ^ I2.

Multi-amplitude frequency modulation direct carrier transmission requires a bandwidth exceeding (\ IT _lQ- \ IT _x ~ \ IT _m + \ IT _N ); when decoding, first take out a symbol in the current period f, and then perform the following operations:

Fj (Tcf (0> = \ l ³ Scf (t) SIN (^ t-rj) dt = _{G j} ; when we take h = l, 2, ..., H, we get a system of linear equations, = (? , Its meaning is the same as formula (1); solve this system of equations to get the solution of each wavelet; realize multiple carrier frequency modulation direct carrier transmission.

The synthetic wave includes:

A periodic synthetic wave can be composed of some sine waves with the same validity period. The length of the validity period is an integer multiple of a half period of the sine wave and is less than the period of the synthetic wave. Each sine wave moves one phase in succession, and its amplitude is from the specified quantization set. Take one of the values to achieve multiple amplitude and phase modulation direct carrier transmission;

A periodic synthetic wave can also be composed of sine waves with different validity periods. The length of the valid period is an integer multiple of a half period of the sine wave. The longest valid period is equal to the period of the synthetic wave. The other valid periods are successively reduced by one value. Take a value from the specified quantization set to achieve multiple amplitude-frequency modulation direct carrier transmission;

By combining the multiple-amplitude-phase modulation direct carrier transmission and the multiple-amplitude-frequency modulation direct carrier transmission, the three parameters of the amplitude, frequency, and phase of a sine wave can be controlled at the same time, and the multiple-amplitude-frequency-phase modulation direct carrier transmission is realized. The multiple-amplitude-frequency-phase modulation direct carrier transmission must meet the following conditions:

Sfpit) = ∑gf _P k (t) = ∑∑ f _hJ (—tT _h ) SIN —- (iT _h );

h = l = lj = l ¹ hj ¼0

The symbol period is, Γ _{/ ξ /} is it? The duration within the period is the validity period of the wavelet, which is called the sub-validity period, T _hj = Γ _{(Α + 1)} . <T, T _{(h + 1) J} is delayed by z _h from T _hj , _fhJ At-T _h ) = r ^kj

丄 hj ^u , ¹丄 hj

,

2L ^hi +0.5 L ”means take off the whole number (remove the decimal part and only keep the whole number part),

_{¾1 <2¾. +1), T} hJ = nT hJ0 / 2, "eZ.

Multi-amplitude frequency phase modulation direct carrier transmission requires bandwidth exceeding:

(1 / Γ ₁₁₀ -1 / Γ _π ~ 1 / ¾ ₀ + 1 / ¾); The method for decoding a direct carrier with multiple amplitude-frequency phase modulation is to first take a symbol in the current period f, and then do the following: Operation:

F _h j (§cf () G _hj

When taking h = l, 2, ..., H, j = l, 2, N, we get a system of linear equations, = G, which has the same meaning as equation (1); a multiple amplitude-frequency phase modulation direct carrier is achieved transmission.

The beneficial effect of the present invention is that by providing a multiple modulation transmission method, the frequency band utilization rate and the signal-to-noise ratio can be greatly improved, and the transmission rate can be greatly improved. Among them: The positive effects of the multiple-amplitude-phase-modulated baseband transmission are: a much higher frequency utilization ratio than the traditional baseband transmission method;

The positive effect of the carrier transmission of the multiple-amplitude-phase-modulated baseband code is: inheriting the advantages of high-frequency band utilization of the multiple-amplitude-phase-modulated baseband code of the baseband transmission;

The positive effects of the multi-amplitude phase modulation direct carrier transmission are as follows: Phase modulation baseband transmission, likewise, has a high frequency band utilization rate. On the other hand, it can be directly used for carrier transmission without the need for carrier transmission based on multiple amplitude phase modulation baseband codes.

The positive effect of the multiple-amplitude-frequency modulation direct carrier transmission is: compared with the discrete multi-tone (DMT) method which has been the international standard of ADSL at present, the required bandwidth is reduced; this is because between adjacent wavelets The frequency difference is smaller than the frequency difference between adjacent DMT wavelets;

The positive effect of the multiple-amplitude-frequency-phase modulation direct carrier transmission is that the parameters of the sine wave are used, and the frequency band utilization rate is higher.

BRIEF DESCRIPTION OF THE DRAWINGS

Figure la is the waveform of each wavelet of a symbol waveform, where: H = 8;

Figure lb is the waveform of a composite waveform of a symbol waveform, where: H = 8;

Figure 2a is the waveform of each wavelet of a symbol waveform, where: H = 4;

Figure 2b is the waveform of a composite waveform of a symbol waveform, where: H = 4;

Figure 3a is the waveform of each wavelet of a symbol waveform, where N = 4;

Figure 3b is the waveform of a composite wave of a symbol waveform, where ·. N = 4;

Figure 4a is the waveform of each wavelet of a symbol waveform, where: H = 2, N = 4;

Figure 4b is the waveform of a composite wave of a symbol waveform, where: H = 2, N = 4.

detailed description

The following describes specific embodiments of the present invention with reference to the accompanying drawings:

(1) Multiple amplitude phase modulation baseband transmission:

Its characteristics are described by: (t);

The waveform of one symbol period is called a multiple amplitude phase modulation baseband code, and the tube is called an amplitude phase baseband code. An amplitude-phase baseband code waveform is a composite wave formed by the superposition of some wavelets. The period is called the amplitude-phase baseband code symbol period ^, 7), which is an internal duration, which is the validity period of the wavelet, and is called a sub-wave. Validity period, T _h = T _{h + l} = T <T, 7 ₊₁ is delayed than 7. The wavelet is ^ () = / _Α (¾-^? (), ..., H; H is the number of wavelets in ί, is the amplitude, i

= 1, 2, ..., 111.

Figures la and lb are examples of symbol waveforms. Where: H = 8, Figure la is each wavelet _{5 and} Figure lb is a composite wave. It can be seen from the figure that a periodic composite wave is composed of some single-cycle sine waves with the same period. Each sine wave moves one phase in succession, and its period is less than the period of the composite wave. Its amplitude is taken from a specified quantization set. .

The decoding method for multiple amplitude phase modulation baseband codes is to perform operations on the waves within the sub-validity periods Γ _Α (h = 1, 2,…, H) in the overlapping period Γ.

F _h <7> = L _r r _b (t) SIN ^ ~ <-τ _h ) dt = G _h . When taking h = l, 2, ..., H, we get a system of linear equations,

Corresponding to the amplitude of each wavelet, ¾ is an element of the coefficient matrix, and the value range is the real number domain. You can get the solution of each wavelet by solving this system of equations.

The required bandwidth of a multi-amplitude phase modulation baseband code is 0 ~ W, W> l / T, and ≥2 / Γ is recommended.

This transmission method has a much higher frequency utilization rate than the traditional baseband transmission method.

(2) Carrier transmission of multiple amplitude phase modulation baseband codes:

Its characteristics are described by the following formula: g _c (0;

Recommended 丄> ₂ . It is actually a method of multi-amplitude phase modulating the baseband code carrier into a certain τ ₀ τ passband higher than the baseband. At the receiving end, the carrier signal cos ^ t is first filtered by a band-pass filter.

To

The decoding method of the amplitude-phase modulation baseband code can complete the final decoding. This method inherits the advantages of high frequency band utilization of the multiple-amplitude-phase-modulated baseband code for baseband transmission.

(3) Multi-amplitude phase modulation direct carrier transmission: Its characteristics are described by:

What is the symbol period? , 7}, is an internal duration, is the validity period of the wavelet, is called the sub-validity period, T _h = T _{h + l} = T <f, Γ _{Α + ί} ratio delay ^. The wavelet is g _cb t ^{t eT} "

^{1 e J} / <h = l, 2, ..., H; H is the number of internal wavelets, is the amplitude, i = l, 2, ..., m, 7 is the period of the sine carrier, Γ = " Γ. / 2 + π = | 2% +0.5, L "means to take off the whole number (remove the decimal part and only the integer part),

Integer field).

Obviously, when r _Q = r, the multi-amplitude phase modulation direct carrier transmission becomes a multi-amplitude phase modulation baseband transmission.

Multi-amplitude phase modulation direct carrier transmission requires a bandwidth exceeding (1 / Γ.-1 / Τ ~ 1 / Γ. + 1 / Γ); Figure 2a and Figure 2b are examples of symbol waveforms, where: H = 4, Figure 2a is each wavelet, and FIG. 2b is a composite wave. It can be seen from the figure that a periodic composite wave is composed of some sine waves with the same validity period. The length of the validity period is an integer multiple of a half period of the sine wave and is less than the period of the composite wave. Each sine wave moves one phase in succession, and its amplitude is from Take a value from the specified quantization set.

The method for decoding multiple amplitude and phase modulated direct carriers is to first take a symbol in the current period, and then perform the following operations on it:

F _h (g _cb (0) =. ^Λ Sob (t) SIN (-t-z _h ) dt = G _h ; When taking h = l, 2, ··., H, we get a linear equation system, = (?, Which has the same meaning as equation (1). Solve this equation system to get the solution of each wavelet.

The positive effect of this method is, on the one hand and "multi-phase amplitude modulated baseband transmission method" ₅ as a high bandwidth efficiency, on the other hand can be directly used carrier transmission, rather like based on multiple amplitude and phase modulating baseband code Carrier transmission method.

(4) Multi-amplitude-frequency modulation direct carrier transmission: Its characteristics are described by the following symbol symbol period T + ξ,

IT,

η = 'L +0.5 means to take off the integer (remove the decimal part, only the integer part is left)

J0 L '',

In fact, this is a non-orthogonal multi-carrier.

Figures 3a and 3b are examples of symbol waveforms, where: N = 4, Figure 3a is each wavelet, and Figure 3b is a composite wave. It can be seen from the figure that a period of the composite wave is composed of some sine waves with different effective periods. The length of the effective period is an integer multiple of a half period of the sine wave. The longest effective period is equal to the period of the composite wave. The other effective periods are successively reduced by one value. , Which takes a value from the specified quantization set in magnitude.

Multi-amplitude frequency modulation direct carrier transmission requires a bandwidth exceeding (i / 7o -1 / T, -ί / τ _Ν0 + υτ _Ν ). The method for decoding a direct carrier with multiple amplitude-frequency modulation is to first take a symbol in the current period f, and then perform the following operation on it:

Fj (scf (t)) = f ₀ ^J g _cf (t) SIN (^ -t-T j) dt = Gj; when taking j = l, 2, N, we get a system of linear equations, = 6 =, Its meaning is the same as that of formula (1). You can get the solution of each wavelet by solving this system of equations. The positive effect of multi-amplitude-frequency modulation direct carrier transmission is that the required bandwidth is reduced compared to the discrete multi-tone (DMT) method, which is currently the international standard for ADSL. This is because the frequency difference between adjacent wavelets is smaller than the frequency difference between adjacent wavelets of DMT.

(5) Multiple carrier frequency phase modulation direct carrier transmission: Its characteristics are described by:

The symbol period is, 2} „. Is a duration within, is the validity period of the wavelet, and is called

2π,, ■, el) Validity period, hj

T _hj = T _{(h + 1) j} <T, T _{h + V) j} is delayed from T _hj

"(卜 ') Ί ο, hj h = 1, 2, ..., H;. _; Is the amplitude, i = 1, 2, ..., m;

2T ^h ,

Τ _Μ = ηΤ _Ιϋΰ / 2 + ξ, n ⁱ +0.5, L "means to remove the integer (remove the decimal part and retain only the integer part), ξ =, _we z (integer field);

_{_{T hj> T h {j +}} X), - g Z, T hl <2T h (j + l), T hJ = nT hJ0 / 2, neZ; multiple amplitude frequency phase-modulated direct-carrier transmission bandwidth required exceeds (1 / Γ ₁₁₀ -1 / T _n ~ l / Γ means + 1 / ½);

^F hj (Scf () G _hj ;

When taking h = l, 2, ..., H, j = l, 2, N, we get a system of linear equations, ^ = G, which has the same meaning as equation (1).

Figures 4a and 4b are examples of symbol waveforms; where: H = 2, N = 4, Figure 4a is each wavelet, and Figure 4b is a composite wave. In fact, the multiple-amplitude-frequency-phase modulation direct carrier transmission is a combination of the two methods of multiple-amplitude-phase-modulation direct carrier transmission and the multiple-amplitude-frequency modulation direct carrier transmission, and it can control three parameters of a sine wave at the same time, that is, this method With sufficient parameters of the sine wave, it has higher frequency band utilization. The following are four embodiments. The computer transmission simulation on a telephone line consisting of a copper twisted pair cable was performed using four of the above methods. The following embodiments are implemented in the same environment, that is: the channel model is | H (/) | ²

The noise is near-end crosstalk (NEXT) for 10 symmetric user loops (HDSL) and far-end crosstalk (FEXT) for 10 asymmetric user loops (ADSL). Only the occupied channel frequency bands are different.

Example 1:

Multi-amplitude phase modulation baseband transmission method is used to achieve 1.28Mbps unidirectional transmission in the frequency band of 0 ~ 80KHz. Signal: g _b (t);

Let H = 8, ( _{r / i} - _{7 /} Bu = 778, ^ = 0, l / T = 40KHz. Embodiment 2:

Multi-amplitude phase modulation direct carrier transmission achieves a bidirectional transmission of 12.8Mbps in the frequency bands of 240KHz-1.04MHz and 1.1MHz ~ 1.9MHz.

One

Signal: g _cb (0;

Let H = 8, (T _h -T _h _ _l ) = T / S, T _l = 0, l / T = 400KHz, uplink 1 / = 6400! 2, downlink 1 / Γ ₀ = 1.5MHz. Example 3:

Multi-amplitude frequency modulation direct carrier transmission achieves 6.4Mbps bidirectional transmission in the frequency bands of 10OKHz ~ 615MHz and 700KHz ~ 1.845MHz. Signal: 7 _f {t) = ∑g _cf (tj);

Up:

,

N = 8, 8 bits per wavelet.

Downward:

1/2] = ΙΟΟΚΗζ, 1 / Γ ₂ = Π5 / ¾, 1 / Γ ₃ = \ 30KHz, l / T ₄ = U5KHz, 1 / Γ ₅ = \ 60KHz, 1 / Τ ₆ = \ 15KHz, 1 / Γ ₇ = \ 9QKHz, 1 / Γ ₈ = 205ΚΗζ,

N = 8, 8 bits per wavelet.

Example 4:

Multi-amplitude frequency phase modulation direct carrier transmission achieves 9.6Mbps two-way transmission in the frequency bands of 100KΗζ to 615 匪 and 700KΗZ5MHz. signal:

Set H = 2, j = 8, a total of 16 wavelets, each wavelet is 8 bits, τ ^ 0, τ ₂ = 1/400, uplink:

Downward:

1 / Γ „

,

1 / Γ „= ΙβΟΚΗζ, ί / Τ ₂₆

,

PT / CN2003 / 000321 The beneficial effect of the present invention is that by providing a multiple modulation transmission method, the frequency band utilization rate and the signal-to-noise ratio can be greatly improved, and the transmission rate can be greatly improved. Among them: The positive effect of the multiple-amplitude-phase modulation baseband transmission is: a much higher frequency band utilization rate than the traditional baseband transmission method;

The positive effect of the multiple-amplitude-phase modulation direct carrier transmission is: on the one hand, it has the same high frequency band utilization as the "multiple-amplitude-phase modulation baseband transmission", on the other hand, it can be directly used for carrier transmission without having to be based on Carrier transmission of multiple amplitude and phase modulation baseband codes;

The positive effects of the multiple-amplitude-frequency-phase modulation direct carrier transmission are: the parameters of the sine wave are used, and the frequency band utilization is higher.

The above specific implementations are only used to illustrate the present invention, but not intended to limit the present invention.

Claims

1. A multiple modulation transmission method, characterized in that: a plurality of independent sine waves are combined into a composite wave, and the composite wave is a non-orthogonal multiple modulation symbol; wherein: each said independent sine wave is called Is a wavelet, and the amplitude, frequency, and phase of the independent sine waves can be arbitrarily selected within the range of their values, and each of the independent sine waves is non-orthogonal; Multi-point sampling of the synthesized wave; decomposing each wavelet in the non-orthogonal multiple modulation symbol to realize data communication.

2. The method according to claim 1, wherein the composite wave comprises: a periodic composite wave is composed of some single-cycle sine waves with the same cycle, and each sine wave moves by one phase in succession, and its period Less than the period of the synthetic wave, its amplitude takes a value from the specified quantization set, so as to achieve multiple amplitude and phase modulation baseband transmission.

3. The method according to claim 2, wherein the non-orthogonal multiple modulation code needs to satisfy the following conditions:

h = \ Λ 丄 h

Among them: The waveform of one symbol period is a multi-amplitude phase modulation baseband code, which is referred to as an amplitude-phase baseband code for short; an amplitude-phase baseband code waveform is a composite wave formed by superposing some wavelets, and its period is called an amplitude-phase baseband code symbol Cycle

Γ ,, is an internal duration, is the validity period of the wavelet, and is called the sub-validity period. T _h = T _{h + l} = T <f, 7 ₊₁ to 7 delayed wavelets are g _b (t) =

h = l, 2, ..., H; H is the number of wavelets in. ,. Is the amplitude, i = l, 2, ..., m.

4. The method according to claim 2, wherein the decomposing each wavelet in a non-orthogonal multiple modulation symbol means: During the overlapping period, there are: F _h

When taking h = l, 2, .. ·, H, we get a system of linear equations:

_Wherein:; corresponds to the amplitude of each wavelet is an element of the coefficient matrix, is a real number in the range domain; Solutions of each wavelet can be obtained by solving this equation.

5. The method according to claim 1, wherein the composite wave comprises: a periodic composite wave is composed of some single-cycle sine waves with the same cycle, and each sine wave moves by one phase in succession, and its period Less than the period of the synthetic wave, its amplitude is taken from a specified quantization set; the non-orthogonal multiple modulation code must meet the following conditions:

One H

g _b (0 -∑g _b i) -r _h )

7), is a duration within, is the validity period of the wavelet, and is called the sub-validity period,

T _h = T _{h + l} = T <T, 1), ₊₁ is delayed than 7 and the wavelet is

h = l, 2, ..., H; H is the number of wavelets within ^, is the amplitude, i = l, 2, ..., m;

The required bandwidth of the multiple amplitude phase modulation baseband code is 0-W, W> l / T;

The decoding method of the multiple-amplitude-phase modulation baseband code is to perform operations on the waves within the validity period Γ _Λ (h = l, 2,…, H) of each sub-section within the overlapping period f, including:

2π

F _h (17) = [ _sT T (t) SIN (t-τ _h ) dt = G _h ;

T ' When taking h = l, 2,…, H, we get a system of linear equations:

AX = G, A G =

Where: Α corresponds to the amplitude of each wavelet, and is an element of a coefficient matrix, and the value range is a real number field; by solving this equation group, the solution of each wavelet can be obtained, thereby achieving multiple amplitude-phase modulation baseband transmission.

6. The method according to claim 1, wherein the non-orthogonal multiple modulation code carrier is formed into a carrier signal in a certain passband higher than the baseband, and the received signal is used at the receiving end: The band-pass filter removes the carrier signal and then decodes it to implement carrier transmission of multiple amplitude-phase modulated baseband codes.

7. The method according to claim 6, wherein the carrier signal of the multiple-amplitude-phase-modulated baseband code carrier is formed in a certain passband higher than the baseband, and its GGG needs to meet the following conditions:

At the receiving end, the carrier signal COS ^ t is first filtered by a band-pass filter, and then decoded.

8. The method according to claim 1, wherein the non-orthogonal multiple modulation code carrier is formed into a carrier signal in a passband higher than the baseband, and the received signal is used at the receiving end: The band-pass filter removes the carrier signal and then decodes it, where:

Carrying the multiple-amplitude-phase-modulated baseband code carrier into a passband higher than the baseband to form a carrier signal, which must meet the following conditions:

Η Η

2π 2π .2π 2π g _c (0 = ¾ x cos— t = g _b (t, i)] x cos— t = [∑ {t _h ) SIN—t _h ] x cos— t;

h = l 0 Λ = 1 Tu At the receiving end, the carrier signal cos ^ t is first filtered by a band-pass filter, and then decoded; during decoding, each sub-validity period r _A (h = l , ² , ..., H) Waves do calculations with (t-τ _h ) dt G h,

When taking h = l, 2, · H, we get a system of linear equations:

K "K, 12

K. 21

K HI

Where:,. Corresponds to the amplitude of each wavelet, ¾ is an element of the coefficient matrix, and the range of values is the real number field; the solution of each wavelet can be obtained by solving this system of equations, and the carrier of the multiple amplitude-phase modulation baseband code is realized transmission.

9. The method according to claim 1, wherein the synthesized wave comprises: a periodic synthesized wave is composed of some sine waves with the same validity period, and the length of the validity period is an integer multiple of a half period of the sine wave, And it is smaller than the period of the composite wave, each sine wave moves by one phase in succession, and its amplitude takes a value from the specified quantization set; multiple amplitude and phase modulation direct carrier transmission is realized.

10. The method according to claim 9, wherein the multiple-amplitude-phase modulation direct carrier transmission needs to satisfy the following conditions:

Among them: the symbol period is, Γ _Α is an internal duration, is the validity period of the wavelet, is called the subvalidity period, T _h = T _{h + l} = T <Ϊ, 2 ₊₁ ratio? Delay ^; wavelet For g _cb '-

h = l, 2, ..., H; H is the number of wavelets in. ,. Is the amplitude, i = l, 2, ..., m;

Γ number, ξ

Τ ≧ ηΤ. Ι2

11. The method according to claim 1, wherein the synthesized wave comprises: A period of synthetic wave is composed of some sine waves with the same validity period. The length of the validity period is an integer multiple of a half period of the sine wave and is less than the period of the synthetic wave. Take a value from the set; its exact description is given by:

Se (0

Among them: the symbol period is, Γ _Α is an internal duration, is the validity period of the wavelet, is called the sub-validity period, T _h = T _{h + x} = T <T, T _{h +} , ratio 7; delay r „; The wavelet is g _cb (t)

h = l, 2, ..., H; What is H? The number of wavelets inside is the amplitude, i = l, 2, ..., m;

Γ. Is the period of a sinusoidal _{carrier, Τ = ηΤ ϋ Ι1 + ξ} , «= 2% +0.5, [_ " represents an integer removed

Multi-amplitude phase modulation direct carrier transmission requires a bandwidth exceeding (I / Γ.-Ι / Γ ~ Ι / Γ. + Ι /: Γ); when decoding, first take out a symbol in the current period f, and then do it as follows Operation:

F _h {g _cb (0) = f ° ~ ^T "Wot (t) SIN Ά-r _h ) dt = G _h ;

T ₀

When h = 1, 2,…, H, a linear equation system is obtained, and the solution of each wavelet can be obtained by solving this equation system. Multiple carrier-phase modulation direct carrier transmission is realized.

12. The method according to claim 1, wherein the composite wave comprises: a periodic composite wave is composed of some sine waves with different valid periods, and the length of the valid period is an integer multiple of a half period of the sine wave. The longest valid period is equal to the period of the composite wave. The other valid periods are successively reduced by one value, and its amplitude is taken from a specified quantization set. Multiple carrier-frequency modulation direct carrier transmission is realized.

13. The method according to claim 12, wherein the multiple-amplitude-frequency modulation direct carrier transmission needs to satisfy the following conditions: + ξ

n =

14. The method according to claim 1, wherein the synthesized wave comprises: a periodic synthesized wave is composed of some sine waves with different valid periods, and the length of the valid period is an integer multiple of a half period of the sine wave The longest valid period is equal to the period of the composite wave. The other valid periods are successively reduced by one value, and its amplitude is taken from a specified quantization set; its exact description is given by:

+ ξ,

Multi-amplitude frequency modulation direct carrier transmission requires a bandwidth exceeding: (l / T _lQ -l / T wide 1 / T + 1 / T _N ); when decoding, first take out a symbol in the current cycle, and then perform the following operations on it :

When taking h = l, 2, ..., H, a linear equation system is obtained, AX = G, and the solution of each equation can be obtained by solving this equation system. Multiple carrier frequency modulation direct carrier transmission is realized.

15. The method according to claim 1, wherein the composite wave comprises: a periodic composite wave may be composed of some sine waves with the same validity period, and the length of the validity period is an integer multiple of a half period of the sine wave, and Less than the period of the synthetic wave, each sine wave moves one by one Phase, the amplitude of which takes a value from the specified quantization set, and realizes multiple amplitude and phase modulation direct carrier transmission;

A periodic synthetic wave can also be composed of sine waves with different validity periods. The length of the valid period is an integer multiple of a half period of the sine wave. The longest valid period is equal to the period of the synthetic wave. The other valid periods are successively reduced by one value. Take a value from the specified quantization set, and realize

Direct carrier transmission

By combining the multiple-amplitude-phase modulation direct carrier transmission and the multiple-amplitude-frequency modulation direct carrier transmission, the three parameters of the amplitude, frequency, and phase of a sine wave can be controlled at the same time, thereby realizing the multiple-amplitude-frequency-phase modulation direct carrier transmission.

16. The method according to claim 15, wherein the multiple-amplitude-frequency-phase modulation direct carrier transmission needs to satisfy the following conditions:

The symbol period is, which is the period of validity of the _疋 wavelet within a period of time, called the sub- _validation period, τ τ _{(Μυ <} Ψ, specific delay _A ; hj

² hj [ ^U ,

h = l, 2, ..., Η; a ,. is the amplitude, i = l, 2, ..., m; +0.5 L ”means taking off the integer,

T h, j

^T hj> ^T h (j + l) Z, T _hx <2T _{h (j + x)} , T _hj = nT 12, neZ

Kj +)

17. The method according to claim 1, wherein the composite wave comprises: a periodic composite wave may be composed of some sine waves with the same validity period, and the length of the validity period is an integer multiple of a half period of the sine wave, and Less than the period of the synthetic wave, each sine wave moves one by one Phase, the amplitude of which takes a value from the specified quantization set, and realizes multiple amplitude and phase modulation direct carrier transmission;

A periodic synthetic wave can also be composed of sine waves with different validity periods. The length of the valid period is an integer multiple of a half period of the sine wave. The longest valid period is equal to the period of the synthetic wave. The other valid periods are successively reduced by one value. Take a value from the specified quantization set, and achieve 7-fold amplitude-frequency modulation direct carrier transmission;

The multi-amplitude-phase modulation direct carrier transmission and the multi-amplitude-frequency modulation direct carrier transmission are combined, so that three parameters of a sine wave can be controlled at the same time, and the multi-amplitude-frequency-phase modulation direct carrier transmission is realized; its precise description is given by the following formula Gives:

― HHN ₂ 2

g _fp (0 = ∑§ _fph (0 = ∑ ∑ fhj-^ _l ) SIN— (t -r _h );

h = l Λ = 17 = 1 ¹ hj ¹ hjQ symbol period is, yes? The duration within the period is the validity period of the wavelet, which is called the sub-validity period, = r ( _{A + I)} <f, ₊ specific delay τ · _Α ,

h = l, 2, ..., H; α ,. is the amplitude, i = l, 2, ..., m; under integer,

Multi-amplitude frequency-phase modulation direct carrier transmission requires a bandwidth exceeding (1 / Γ _110- \ IT _U ~ l / ¾o +! / ¾); The decoding method for multi-amplitude frequency-phase modulation direct carrier is to first take one of the current cycles Symbol, and then perform the following operations on it:

Fhj (Wcf (0> = J _r ^{+ T} "\ l ^J Scf (SIN {ψ-t-Tj) dt jdt _h = G _hj ; When taking h = l, 2, ..., H, j = l, 2, ···, N, we get a system of linear equations, = (?, Solve this system of equations to get the solutions of each wavelet; Achieve multiple amplitude frequency phase modulation direct carrier transmission.