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SSA_paramter.py
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SSA_paramter.py
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# coding=utf-8
# The basic parameters of D-MIMO network
import math
import numpy as np
# The basic parameters of D-MIMO network
if True:
# In our setting, N' = N, K' = K.
# the number of transmitter( receiver)
K = 2
# the number of antennas of each node
N = 3 # transmitter
M = 3 # receiver
# size of finite field
q = 3
# the total energy
E_total = 1e4
N_0 = 1
# the number of spatial stream of each node
L_node = [3, 2]
# NC generator matrix
G = np.array([[1, 0, 0, 1, 0],
[0, 1, 0, 0, 1],
[0, 0, 1, 0, 0],
[0, 0, 1, 1, 0],
[1, 0 ,0, 0, 1]])
G_extra = np.array([[0,1,0,0,0]])
# test IA
# L_node = [2, 1]
# G = np.array([[1,0,0],[0,1,0],[0,0,1]])
# G_extra = np.array([[0,0,1],[1,0,0],[0,1,0]])
# the number of total spatial stream
L = sum(L_node)
'''
[1, 0, 0, 1, 0], # 1 Yes
[0, 1, 0, 0, 1],
[0, 0, 1, 0, 0],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 0, 0],
[1, 0, 0, 1, 0], # 2 Not
[0, 1, 0, 0, 1],
[0, 0, 1, 0, 0],
[0, 0, 1, 0, 1],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 1], # 3 Not
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 0],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 1], # 4 Yes
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 0],
[0, 0, 1, 0, 1],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 0],
[1, 0, 0, 1, 0], # 5 Not
[0, 1, 0, 0, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 0, 0],
[1, 0, 0, 1, 0], # 6 Not
[0, 1, 0, 0, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 0, 1],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 1], # 7 Not
[0, 1, 0, 0, 0],
[0, 0, 1, 1, 0],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 1], # 8 Not
[0, 1, 0, 0, 0],
[0, 0, 1, 1, 0],
[0, 0, 1, 0, 1],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 0], # 9 Yes
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 0], # 10 Not
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 0, 1],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 0], # 11 Not
[0, 1, 0, 0, 1],
[0, 0, 1, 1, 0],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 0], # 12 yes
[0, 1, 0, 0, 1],
[0, 0, 1, 1, 0],
[0, 0, 1, 0, 1],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 0],
'''
G_2Full = np.array(
[
[1, 0, 0, 1, 0], # 1 Yes
[0, 1, 0, 0, 1],
[0, 0, 1, 0, 0],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 1], # 4 Yes
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 0],
[0, 0, 1, 0, 1],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 0], # 9 Yes
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 0], # 12 yes
[0, 1, 0, 0, 1],
[0, 0, 1, 1, 0],
[0, 0, 1, 0, 1],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 0],
]
)
'''
shang mian de bian xin.
[1, 0, 0, 1, 0], # 1 Yes
[0, 1, 0, 0, 1],
[0, 0, 1, 0, 0],
[0, 0, 1, 1, 0],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 1],
[1, 0, 0, 1, 0], # 1 Yes
[0, 1, 0, 0, 1],
[0, 0, 1, 0, 0],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 1],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 1], # 4 Yes
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 0],
[0, 0, 1, 0, 1],
[0, 1, 0, 0, 0],
[1, 0, 0, 1, 0],
[1, 0, 0, 0, 1], # 4 Yes
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 0],
[0, 1, 0, 0, 0],
[1, 0, 0, 1, 0],
[0, 0, 1, 0, 1],
[1, 0, 0, 0, 0], # 9 Yes
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 1, 0],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 1],
[1, 0, 0, 0, 0], # 9 Yes
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 1],
[1, 0, 0, 0, 1],
[0, 1, 0, 0, 0],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 0], # 12 yes
[0, 1, 0, 0, 1],
[0, 0, 1, 1, 0],
[0, 0, 1, 0, 1],
[0, 1, 0, 0, 0],
[1, 0, 0, 1, 0],
[1, 0, 0, 0, 0], # 12 yes
[0, 1, 0, 0, 1],
[0, 0, 1, 1, 0],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 0],
[0, 0, 1, 0, 1],
'''
'''
G_2Full_2 = np.array(
[
[1, 0, 0, 1, 0], # 1 1 No
[0, 1, 0, 0, 1],
[0, 0, 1, 0, 0],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 0],
[0, 1, 0, 0, 1],
[1, 0, 0, 1, 0], # 1 2Yes
[0, 1, 0, 0, 1],
[0, 0, 1, 0, 0],
[0, 0, 1, 0, 1],
[1, 0, 0, 0, 0],
[0, 1, 0, 1, 0],
[1, 0, 0, 1, 0], # 1 3 No
[0, 1, 0, 0, 1],
[0, 0, 1, 0, 0],
[0, 0, 1, 0, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 1, 0],
[1, 0, 0, 1, 0], # 1 4No
[0, 1, 0, 0, 1],
[0, 0, 1, 0, 0],
[0, 0, 1, 0, 0],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 1],
[1, 0, 0, 0, 1], # 3 1Yes
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 0],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 0],
[0, 1, 0, 0, 1],
[1, 0, 0, 0, 1], # 3 2Not
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 0],
[0, 0, 1, 0, 1],
[1, 0, 0, 0, 0],
[0, 1, 0, 1, 0],
[1, 0, 0, 0, 1], # 3 3Not
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 0],
[0, 0, 1, 0, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 1, 0],
[1, 0, 0, 0, 1], # 3 4Not
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 0],
[0, 0, 1, 0, 0],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 1],
[1, 0, 0, 1, 0], # 5 1Not
[0, 1, 0, 0, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 0, 0],
[1, 0, 0, 1, 0], # 5 2Not
[0, 1, 0, 0, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 0, 1],
[1, 0, 0, 0, 0],
[0, 1, 0, 1, 0],
[1, 0, 0, 1, 0], # 5 3Yes
[0, 1, 0, 0, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 0, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 1, 0],
[1, 0, 0, 1, 0], # 5 4Not
[0, 1, 0, 0, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 0, 0],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 1],
[1, 0, 0, 0, 1], # 7 1Not
[0, 1, 0, 0, 0],
[0, 0, 1, 1, 0],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 1], # 7 2Yes
[0, 1, 0, 0, 0],
[0, 0, 1, 1, 0],
[0, 0, 1, 0, 1],
[1, 0, 0, 0, 0],
[0, 1, 0, 1, 0],
[1, 0, 0, 0, 1], # 7 3No
[0, 1, 0, 0, 0],
[0, 0, 1, 1, 0],
[0, 0, 1, 0, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 1, 0],
[1, 0, 0, 0, 1], # 7 4Yes
[0, 1, 0, 0, 0],
[0, 0, 1, 1, 0],
[0, 0, 1, 0, 0],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 1],
[1, 0, 0, 0, 0], # 9 1Yes
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 0], # 9 2No
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 0, 1],
[1, 0, 0, 0, 0],
[0, 1, 0, 1, 0],
[1, 0, 0, 0, 0], # 9 3Yes
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 0, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 1, 0],
[1, 0, 0, 0, 0], # 9 4Yes
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 0, 0],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 1],
[1, 0, 0, 0, 0], # 11 1Not
[0, 1, 0, 0, 1],
[0, 0, 1, 1, 0],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 0], # 11 2Not
[0, 1, 0, 0, 1],
[0, 0, 1, 1, 0],
[0, 0, 1, 0, 1],
[1, 0, 0, 0, 0],
[0, 1, 0, 1, 0],
[1, 0, 0, 0, 0], # 11 3Yes
[0, 1, 0, 0, 1],
[0, 0, 1, 1, 0],
[0, 0, 1, 0, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 1, 0],
[1, 0, 0, 0, 0], # 11 4Not
[0, 1, 0, 0, 1],
[0, 0, 1, 1, 0],
[0, 0, 1, 0, 0],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 1],
]
)
'''
# full rank G matrix, with G^2 可变的，即可交换行。因此，满秩的矩阵数需乘以3
G_2Full_2 = np.array(
[
[1, 0, 0, 1, 0], # 1 2Yes
[0, 1, 0, 0, 1],
[0, 0, 1, 0, 0],
[0, 0, 1, 0, 1],
[1, 0, 0, 0, 0],
[0, 1, 0, 1, 0],
[1, 0, 0, 0, 1], # 3 1Yes
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 0],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 0],
[0, 1, 0, 0, 1],
[1, 0, 0, 1, 0], # 5 3Yes
[0, 1, 0, 0, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 0, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 1, 0],
[1, 0, 0, 0, 1], # 7 2Yes
[0, 1, 0, 0, 0],
[0, 0, 1, 1, 0],
[0, 0, 1, 0, 1],
[1, 0, 0, 0, 0],
[0, 1, 0, 1, 0],
[1, 0, 0, 0, 1], # 7 4Yes
[0, 1, 0, 0, 0],
[0, 0, 1, 1, 0],
[0, 0, 1, 0, 0],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 1],
[1, 0, 0, 0, 0], # 9 1Yes
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 1, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 0, 0],
[1, 0, 0, 0, 0], # 9 4Yes
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 1],
[0, 0, 1, 0, 0],
[1, 0, 0, 1, 0],
[0, 1, 0, 0, 1],
[1, 0, 0, 0, 0], # 11 3Yes
[0, 1, 0, 0, 1],
[0, 0, 1, 1, 0],
[0, 0, 1, 0, 0],
[1, 0, 0, 0, 1],
[0, 1, 0, 1, 0],
]
)
else:
# In the setting, N' != N, K' = K.
# the number of transmitter( receiver)
K = 3
# the number of antennas of each node
N = 6 # transmitter
M = 3 # receiver
# the number of source stream of each user
L_node = [3, 2, 2]
# the number of received stream of each BS
L_node_BS = [3, 2, 2]
# the number of total spatial stream
L = sum(L_node)
# size of finite field
q = 3
# the total energy
E_total = 1e4
N_0 = 1
# SNR = E_total/(N_0*K)
# NC generator matrix
if False:#G_1
G = np.array([[1, 0, 0, 1, 0, 1, 0],
[0, 1, 0, 0, 1, 0, 0],
[0, 0, 1, 0, 0, 0, 1],
[0, 1, 0, 1, 0, 0, 0],
[1, 0, 0, 0, 0, 0, 1],
[0, 1, 0, 0, 0, 1, 0],
[0, 0, 1, 0, 1, 0, 0]])
# extra line which indicates the "signal bin"
G_extra = np.array([[0, 0, 1, 0, 1, 1, 0],
[1, 0, 0, 1, 0, 0, 1]])
'''
#exchanging row of the last base station
G = np.array([[1, 0, 0, 1, 0, 1, 0],
[0, 1, 0, 0, 1, 0, 0],
[0, 0, 1, 0, 0, 0, 1],
[0, 1, 0, 1, 0, 0, 0],
[1, 0, 0, 0, 0, 0, 1],
[0, 1, 0, 0, 0, 1, 0],
[1, 0, 0, 1, 0, 0, 1]
])
# extra line which indicates the "signal bin"
G_extra = np.array([[0, 0, 1, 0, 1, 1, 0],
[0, 0, 1, 0, 1, 0, 0]
])
'''
else:#G_2
G_adjacent = np.array([[1, 0, 0, 1, 0, 1, 0],
[0, 1, 0, 0, 1, 0, 0],
[0, 0, 1, 0, 0, 0, 1],
[0, 0, 1, 1, 0, 0, 0],
[0, 1, 0, 0, 1, 1, 0],
[1, 0, 0, 0, 1, 1, 0],
[0, 0, 1, 0, 0, 0, 0]])
G_extra = np.array([[1, 0, 0, 0, 0, 0, 1],
[0, 1, 0, 1, 0, 0, 1]])
'''
# example in Tao's paper
G = np.array([[1, 0, 0, 1, 0, 1, 0],
[0, 1, 0, 0, 1, 0, 0],
[0, 0, 1, 0, 0, 0, 1],
[0, 1, 0, 0, 1, 0, 1],
[1, 0, 0, 1, 0, 0, 0],
[1, 0, 0, 0, 1, 0, 0],
[0, 1, 0, 0, 0, 1, 0]])
G_extra = np.array([[0, 0, 1, 0, 0, 1, 0],
[0, 0, 1, 1, 0, 0, 1]])
'''
# check the feasibility of parameters
def check_param_feasible(N,L):
K_bar = math.ceil(float(L)/N)
if L >= (M**2 *K_bar / K_bar * M - N):
raise Exception('The parameters are unachievable!')
else:
pass
# index function I(i,l), represent the index of l-th stream of user i
# or the index of l-th received signal at BS i
# The index count from 0!
def index_I(i,l):
ind = l
if i > 0:
for ii in range(i):
ind = L_node[ii] + ind
else:
pass
return ind
# index inverse function I^{-1}(\tau),
# represent which user the stream with the index belongs
# The index count from 0!
def index_inv(ind):
i = 0
ind = ind + 1
sum_L_node = L_node[i]
while ind > sum_L_node:
i = i + 1
sum_L_node = sum_L_node + L_node[i]
if ind <= sum_L_node:
break
else:
pass
return i
# the index of non-zero element of g_{j,l'} ('support element')
# the input l is the l-th received signal at BS
def index_S(G, j, l):
S = []
g = G[index_I(j,l)]
for ii in range(len(g)):
if g[ii] != 0:
S.append(ii)
return S
# the index of stream at BS j which consists of the stream I(i,l)
def index_eta(G,i,l,j):
eta = None # the column are all zeros
for ll in range(L_node[j]): # ll is the index of stream in BS j
if G[index_I(j,ll)][index_I(i,l)] != 0:
eta = ll
break
return eta
if __name__ == '__main__':
print 'Go!'
check_param_feasible(N,L)
print 'rank:',np.linalg.matrix_rank(G),'shape:',G.shape[0]
print np.array(list(G_2Full) + list(G_2Full_2)).shape
print 'The NC generator matrix:\n', G
print index_I(1,1)
print index_inv(3)
print index_S(G, 1,1)
print index_eta(G, 0,1,1)