Patent ID: 11936468
Assignee: UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA
Field: Digital communication (Electrical engineering)
Classification: CPC H | IPC H

Claim 4:
5. The spatial position-dependent dual domain modulation method according to claim 4, wherein in S3, a specific process of the phase domain matching operation is as follows:, x
     ^
    
    i
   
   (
   t
   )
  
  =
  
   
    exp
    ⁢
    
     {
     
      j
      ⁢
      
       
        
         
          
           [
           
            
             γ
             1
            
            (
            t
            )
           
          
         
         
          
           
            γ
            2
           
           (
           t
           )
          
         
         
          …
         
         
          
           
            
             γ
             N
            
            (
            t
            )
           
           ]
          
         
        
       
       [
       
        
         
          
           
            
             ξ
             ^
            
            
             i
             ,
             1
            
           
           (
           t
           )
          
         
        
        
         
          
           
            
             ξ
             ^
            
            
             i
             ,
             2
            
           
           (
           t
           )
          
         
        
        
         
          ⋮
         
        
        
         
          
           
            
             ξ
             ^
            
            
             i
             ,
             N
            
           
           (
           t
           )
          
         
        
       
       ]
      
     
     }
    
   
   =
   
    exp
    [
    
     j
     ⁢
     
      
       ∑
       
        k
        =
        1
       
       N
      
      
       
        
         γ
         k
        
        (
        t
        )
       
       ⁢
       ∠
       ⁢
       
        
         
          ξ
          ^
         
         
          i
          ,
          k
         
        
        (
        t
        )
       
      
     
    
    ]
   
  
 

 
  
   
    
     ξ
     ^
    
    (
    t
    )
   
   =
   
    [
    
     
      
       
        
         
          ξ
          ^
         
         1
        
        (
        t
        )
       
      
     
     
      
       
        
         
          ξ
          ^
         
         2
        
        (
        t
        )
       
      
     
     
      
       ⋮
      
     
     
      
       
        
         
          ξ
          ^
         
         M
        
        (
        t
        )
       
      
     
    
    ]
   
  
  ,
  
   
    
     
      ξ
      ^
     
     i
    
    (
    t
    )
   
   =
   
    [
    
     
      
       
        
         
          ξ
          ^
         
         
          i
          ,
          1
         
        
        (
        t
        )
       
      
     
     
      
       
        
         
          ξ
          ^
         
         
          i
          ,
          2
         
        
        (
        t
        )
       
      
     
     
      
       ⋮
      
     
     
      
       
        
         
          ξ
          ^
         
         
          i
          ,
          N
         
        
        (
        t
        )
       
      
     
    
    ]
   
  
 

wherein {circumflex over (ξ)}(t) represents a phase domain initial received signal, a superscript T represents transposition, γj(t) represents a matched signal corresponding to βj(t+Δτ) and has a value meeting, γ
      i
     
     (
     t
     )
    
    ⁢
    
     {
     
      δ
      +
      
       
        
         ∏
         
          p
          =
          1
         
        
        T
       
       
        
         A
         
          p
          ,
          
           n
           p
          
         
        
        ⁢
        
         cos
         [
         
          2
          ⁢
          
           π
           ⁡
           (
           
            
             n
             p
            
            -
            1
           
           )
          
          ⁢
          Δ
          ⁢
          
           f
           p
          
          ⁢
          t
         
         ]
        
       
      
     
     }
    
   
   =
   
    1
    ⁢
    
     mod
     ⁡
     (
     
      2
      ⁢
      π
     
     )
    
   
  
  ,
  
   
    
     x
     ^
    
    i
   
   (
   t
   )
  
 

 represents an ith dimension of the phase domain matched signal, and the phase domain matched signal is {circumflex over (x)}(t)=[{circumflex over (x)}1(t) {circumflex over (x)}2(t) . . . {circumflex over (x)}M(t)]T;
a specific process of the I/Q domain matching operation is as follows:, s
     ^
    
    0
   
   (
   t
   )
  
  =
  
   
    
     [
     
      
       
        
         
          α
          1
          *
         
         (
         t
         )
        
       
       
        
         
          α
          2
          *
         
         (
         t
         )
        
       
       
        …
       
       
        
         
          α
          M
          *
         
         (
         t
         )
        
       
      
     
     ]
    
    [
    
     
      
       
        
         
          x
          ^
         
         1
        
        (
        t
        )
       
      
     
     
      
       
        
         
          x
          ^
         
         2
        
        (
        t
        )
       
      
     
     
      
       ⋮
      
     
     
      
       
        
         
          x
          ^
         
         M
        
        (
        t
        )
       
      
     
    
    ]
   
   =
   
    
     ∑
     
      i
      =
      1
     
     M
    
    
     
      
       α
       i
       *
      
      (
      t
      )
     
     ⁢
     
      
       
        x
        ^
       
       i
      
      (
      t
      )
     
    
   
  
 

wherein, α
     i
     *
    
    (
    t
    )
   
   =
   
    
     
      ∏
      
       m
       =
       1
      
     
     L
    
    
     exp
     [
     
      j
      ⁢
      2
      ⁢
      
       π
       ⁡
       (
       
        
         k
         m
        
        -
        1
       
       )
      
      ⁢
      Δ
      ⁢
      
       f
       m
      
      ⁢
      t
     
     ]
    
   
  
  ,
 

 * represents conjugation, and ŝ0(t) represents an estimate for the original signal;
in S2-2, a high-dimensional mapping method comprises:
a first method, s
     i
    
    (
    t
    )
   
   =
   
    
     1
     M
    
    ⁢
    
     
      s
      0
     
     (
     t
     )
    
   
  
  ;
 

 and
a second method:, s
     i
    
    (
    t
    )
   
   =
   
    
     
      1
      M
     
     ⁢
     
      
       s
       0
      
      (
      t
      )
     
    
    +
    
     
      n
      i
     
     (
     t
     )
    
   
  
  ,
 

 wherein ni(t) is an ith I/Q domain random offset signal and meets that [n1(t) n2(t) . . . nM(t)]T is located in a solution space of an equation, ∑
     
      i
      =
      1
     
     M
    
    
     
      n
      i
     
     (
     t
     )
    
   
   =
   0
  
  ;
 

 and
in S2-5, a phase domain high-dimensional mapping method comprises:
a first method:, ∠
    ⁢
    
     
      x
      
       i
       ,
       k
      
     
     (
     t
     )
    
   
   =
   
    
     1
     N
    
    ⁢
    ∠
    ⁢
    
     
      x
      i
     
     (
     t
     )
    
   
  
  ;
 

 and
a second method:, ∠
    ⁢
    
     
      x
      
       i
       ,
       k
      
     
     (
     t
     )
    
   
   =
   
    
     
      1
      N
     
     ⁢
     ∠
     ⁢
     
      
       x
       i
      
      (
      t
      )
     
    
    +
    
     
      θ
      k
     
     (
     t
     )
    
   
  
  ,
 

wherein θk(t) is a kth phase domain random offset signal and meets that [θ1(t) θ2(t) . . . θN(t)]T is located in a solution space of an equation, ∑
    
     k
     =
     1
    
    N
   
   
    
     θ
     k
    
    (
    t
    )
   
  
  =
  0.