{"cells":[{"cell_type":"markdown","source":"# BL40A2030 Wireless Communication Networks\n\n## Week 6: Wireless networks - Outage probability and statistical metrics\n\n## Author: Pedro Nardelli\n\n### References \n\n#### Markdown syntax for writing in the notebook\n\n[Markdown syntax](https://help.github.com/articles/basic-writing-and-formatting-syntax/)\n\n#### Library for numerical calculation in Python\n\n[Numpy](http://www.numpy.org/)\n\n#### Statistical functions\n\n[scipy.stats](Statistical functions)\n\n#### Spatial manipulation in Scipy\n\n[scipy.spatial](https://docs.scipy.org/doc/scipy-0.14.0/reference/spatial.html)\n\n#### Plot in Python\n\n[Matplotlib](https://matplotlib.org/tutorials/introductory/pyplot.html)\n\n#### Mathematical functions (like Gamma)\n\n[Math](https://docs.python.org/3/library/math.html)","metadata":{"deepnote_cell_type":"markdown","collapsed":true,"cell_id":"00000-ce925a32-772a-48c8-8920-6f6140f4cf73","output_cleared":false}},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00001-4fbd0ae6-0593-40a4-9f97-50e7ac77a64c","output_cleared":false,"source_hash":"dae0d24f","execution_millis":3,"execution_start":1606463610165},"source":"import numpy as np \nimport matplotlib.pyplot as plt\nfrom matplotlib import style\nimport math\n#style.use('bmh')\nfrom scipy.spatial import distance\n#Not to show warning messages (to keep the notebook clean)\nimport warnings\nwarnings.filterwarnings('ignore')","execution_count":2,"outputs":[]},{"cell_type":"markdown","source":"# Outage probability\n\n## 1) Testing the closest neighbor lower-bound: $ P_o \\geq 1 - e^{-\\lambda \\pi d^2 \\beta^{2/\\alpha}}$ \n\n### Validation: Simulate a wireless network with a receiver in the center, $d=2$, $\\alpha = 3$, and $\\beta = 2$ and compute the outage probability $\\mathrm{Pr}[ \\mathrm{SIR} < \\beta]$ as a function of $\\lambda$","metadata":{"deepnote_cell_type":"markdown","cell_id":"00002-e34d8a98-2c26-44df-8ba6-c5b2a24504fb","output_cleared":false}},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00003-698c3a25-e0e8-41dd-8a1f-cc46bcc96601","output_cleared":false,"source_hash":"ca9ed9fd","execution_start":1606463610177,"execution_millis":2},"source":"### Probability of successful transmission = 1 -outage probability\n### Simulation\ndef suc_prob(d,beta,alpha,L,mean_poisson,trials):\n    interference = np.zeros(trials)\n    success = 0\n    for j in range(trials):   \n        #Number of nodes\n        n = np.random.poisson(mean_poisson)\n        #\n        #Uniform distribution in x\n        position_x_realization = np.random.uniform(-L/2,L/2,n)\n\n        #Uniform distribution in y\n        position_y_realization = np.random.uniform(-L/2,L/2,n)\n        ##\n        #Manipulating arrays to compute distances\n        position_x_realization_t = np.transpose(position_x_realization) \n        position_y_realization_t = np.transpose(position_y_realization) \n        position_final = []\n        position_final = [[position_x_realization_t[i], position_y_realization_t[i]] for i in range(n)]\n        #position_final\n        ###############\n        #The distance to the rx1 (0,0)\n        ###\n        distance_rx = []\n        distance_rx = [distance.euclidean(position_final[i],[0,0]) for i in range(n)]\n        interference_i = []\n        interference_i = [distance_rx[i]**(-alpha) for i in range(n)]\n        if np.sum(interference_i) * beta < d**(-alpha): \n            success = success + 1\n    return success/trials","execution_count":3,"outputs":[]},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00004-1ebaada1-60d4-45c4-a7e3-428b7f4cf7c8","output_cleared":false,"source_hash":"3c9ffe","execution_start":1606463610182,"execution_millis":43},"source":"### Lower bound of the outage probability\n### Analytical - closest neighbor\ndef out_lb(d,beta,alpha,L,mean_poisson):\n    return 1 - np.exp(-mean_poisson/L**2 * d**2 * np.pi * beta**(2/alpha))","execution_count":4,"outputs":[]},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00005-f48d1477-b66b-4a86-8ab6-66dde9eff192","output_cleared":false,"source_hash":"baa63764","execution_start":1606463610225,"execution_millis":29114},"source":"# \nd=2\nbeta=2\nalpha=3\nL=20\n#Simulation\nn_trials = 1000\n### Density of interferers as mean_poisson / network area\ndensity = []\ndensity = [i/L**2 for i in range(50)]\n###\nout_simul = []\nout_simul = [1 - suc_prob(d,beta,alpha,L,mean_poisson = i,trials =n_trials) for i in range(50)]\n#Lower-bound\nout_lb_ana = []\nout_lb_ana = [out_lb(d=2,beta=2,alpha=3,L=20,mean_poisson= i) for i in range(50)]\n\nplt.rcParams.update({'font.size': 18})\nplt.figure(figsize=(14,8))\nplt.plot(density, out_simul, 'x:' , label='Simulation')\nplt.plot(density,out_lb_ana , '--' , label='Lower bound')\nplt.xlabel(\"Density of interferers\")\nplt.ylabel(\"Outage probability\")\nplt.legend()\nplt.show()","execution_count":5,"outputs":[{"data":{"text/plain":"<Figure size 1008x576 with 1 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\n"},"metadata":{"needs_background":"light"},"output_type":"display_data"}]},{"cell_type":"markdown","source":"### Try with other values of $\\beta$ and $d$","metadata":{"deepnote_cell_type":"markdown","cell_id":"00006-62a6a9e4-f6b8-4b30-9731-08a228cd98dc","output_cleared":false}},{"cell_type":"markdown","source":"## 2) Testing closed-form with Rayleigh fading (i.i.d. exponential channel gains): $ P_o = 1 - e^{- \\kappa \\lambda \\pi d^2 \\beta^{2/\\alpha}}$\n\n### Validation: Simulate a wireless network with a receiver in the center, $d=2$, $\\alpha = 3$, and $\\beta = 2$ and compute the outage probability $\\mathrm{Pr}[ \\mathrm{SIR} < \\beta]$ as a function of $\\lambda$","metadata":{"deepnote_cell_type":"markdown","trusted":true,"cell_id":"00007-5d81c8a5-2890-4811-b7f9-3d1f3da5b936","output_cleared":false}},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00008-21591b7a-9871-482f-a4a2-daf024d69e68","output_cleared":false,"source_hash":"d1547c64","execution_start":1606463639339,"execution_millis":0},"source":"### Outage probability with Rayleigh\n### Analytical - closed-form\ndef out_ray(d,beta,alpha,L,mean_poisson):\n    kappa = math.gamma(1 + 2/alpha) * math.gamma(1- 2/alpha)\n    return 1 - np.exp(-kappa * mean_poisson/L**2 * d**2 * np.pi * beta**(2/alpha))","execution_count":6,"outputs":[]},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00009-19f478aa-1291-46fe-be37-ea122b36f74e","output_cleared":false,"source_hash":"ebe62ed8","execution_start":1606463639339,"execution_millis":1},"source":"### Probability of successful transmission = 1 -outage probability\n### Simulation\ndef suc_prob_ray(d,beta,alpha,L,mean_poisson,trials):\n    interference = np.zeros(trials)\n    success = 0\n    for j in range(trials):   \n        #Number of nodes\n        n = np.random.poisson(mean_poisson)\n        #\n        #Uniform distribution in x\n        position_x_realization = np.random.uniform(-L/2,L/2,n)\n\n        #Uniform distribution in y\n        position_y_realization = np.random.uniform(-L/2,L/2,n)\n        ##\n        #Manipulating arrays to compute distances\n        position_x_realization_t = np.transpose(position_x_realization) \n        position_y_realization_t = np.transpose(position_y_realization) \n        position_final = []\n        position_final = [[position_x_realization_t[i], position_y_realization_t[i]] for i in range(n)]\n        #position_final\n        ###############\n        #The distance to the rx1 (0,0)\n        ###\n        distance_rx = []\n        distance_rx = [distance.euclidean(position_final[i],[0,0]) for i in range(n)]\n        interference_i = []\n        interference_i = [np.random.exponential(1)*distance_rx[i]**(-alpha) for i in range(n)]\n        if np.sum(interference_i) * beta < np.random.exponential(1) * d**(-alpha): \n            success = success + 1\n    return success/trials","execution_count":7,"outputs":[]},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00010-cfdeb822-df58-4160-a0e9-8b49efa1463e","output_cleared":false,"source_hash":"974f5e4f","execution_start":1606463639340,"execution_millis":180116},"source":"# \nd=2\nbeta=2\nalpha=3\nL=100\n#Simulation\nn_trials = 1000\n### Density of interferers as mean_poisson / network area\ndensity = []\ndensity = [50*i/L**2 for i in range(20)]\n###\nout_simul = []\nout_simul = [1 - suc_prob_ray(d,beta,alpha,L,mean_poisson = 50*i,trials =n_trials) for i in range(20)]\n#Lower-bound\nout_lb_ana = []\nout_lb_ana = [out_ray(d,beta,alpha,L,mean_poisson= 50*i) for i in range(20)]\n\nplt.rcParams.update({'font.size': 18})\nplt.figure(figsize=(14,8))\nplt.plot(density, out_simul, 'x' , label='Simulation')\nplt.plot(density,out_lb_ana , '--' , label='Analytic')\nplt.xlabel(\"Density of interferers\")\nplt.ylabel(\"Outage probability\")\nplt.legend()\nplt.show()","execution_count":8,"outputs":[{"data":{"text/plain":"<Figure size 1008x576 with 1 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\n"},"metadata":{"needs_background":"light"},"output_type":"display_data"}]},{"cell_type":"markdown","source":"### Test yourself (but the simulation can be slow...)","metadata":{"deepnote_cell_type":"markdown","cell_id":"00011-f7092b3d-f5bb-4852-ab7c-1db92f92b570","output_cleared":false}},{"cell_type":"markdown","source":"# Performance metrics\n\n### 1) Expected forward progress: $d \\times (1-P_o)$","metadata":{"deepnote_cell_type":"markdown","cell_id":"00012-93c33009-acc6-4544-ab2d-1a9ee859ce79","output_cleared":false}},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00013-947c858c-2f0c-4f15-ba82-98bfa1cef93f","output_cleared":false,"source_hash":"44f64634","execution_start":1606463819457,"execution_millis":317},"source":"#SIR threshold\nbeta=2\n#Path-loss\nalpha=3\n#Constant from Rayleigh fading \nkappa = math.gamma(1 + 2/alpha) * math.gamma(1- 2/alpha)\n#Distance array\nd = np.linspace(0,10,1000)\n#####\nplt.rcParams.update({'font.size': 18})\nplt.figure(figsize=(14,8))\n#Network density\nlamb = 0.001\nplt.plot(d, d * np.exp(-kappa * lamb * d**2 * np.pi * beta**(2/alpha)) , '-' , label=r'$\\lambda=0.001$')\n#Network density\nlamb = 0.01\nplt.plot(d, d * np.exp(-kappa * lamb * d**2 * np.pi * beta**(2/alpha)) , ':' , label=r'$\\lambda=0.01$')\n#Network density\nlamb = 0.1\nplt.plot(d, d * np.exp(-kappa * lamb * d**2 * np.pi * beta**(2/alpha)) ,'--' , label=r'$\\lambda=0.1$')\n#######\nplt.xlabel(\"Distance\")\nplt.ylabel(\"EFP [m]\")\nplt.grid()\nplt.legend()\nplt.show()","execution_count":9,"outputs":[{"data":{"text/plain":"<Figure size 1008x576 with 1 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\n"},"metadata":{"needs_background":"light"},"output_type":"display_data"}]},{"cell_type":"markdown","source":"### 2) Information efficiency: $d \\times (1-P_o) \\times \\log_2(1+\\beta)$\n\n- We assume Shannon to related the spectral efficiency in [bits/s/Hz] with the SIR threshold.","metadata":{"deepnote_cell_type":"markdown","cell_id":"00014-078c8b8d-071a-429f-85ef-e0d09b2f60d1","output_cleared":false}},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00015-1b1e1db4-78e4-4d5f-93ae-8d16db125c62","output_cleared":false,"source_hash":"78277036","execution_start":1606463819783,"execution_millis":267},"source":"#Path-loss\nalpha=3\n#Constant from Rayleigh fading \nkappa = math.gamma(1 + 2/alpha) * math.gamma(1- 2/alpha)\n#Network density\nlamb = 0.05\n#SIR threshold array\nbeta = np.linspace(0,8,300)\n#####\nplt.rcParams.update({'font.size': 18})\nplt.figure(figsize=(14,8))\n#distance\nd=1\nplt.plot(beta, d * np.exp(-kappa * lamb * d**2 * np.pi * beta**(2/alpha)) * np.log2(1+beta) , '-' , label=r'$d=1$')\n#distance\nd=2\nplt.plot(beta, d * np.exp(-kappa * lamb * d**2 * np.pi * beta**(2/alpha)) * np.log2(1+beta), ':' , label=r'$d=2$')\n#distance\nd=3\nplt.plot(beta, d * np.exp(-kappa * lamb * d**2 * np.pi * beta**(2/alpha))* np.log2(1+beta) ,'--' , label=r'$d=3$')\n#######\nplt.xlabel(\"SIR threshold\")\nplt.ylabel(\"IE [bits-m/s/Hz]\")\nplt.grid()\nplt.legend()\nplt.show()","execution_count":10,"outputs":[{"data":{"text/plain":"<Figure size 1008x576 with 1 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\n"},"metadata":{"needs_background":"light"},"output_type":"display_data"}]},{"cell_type":"markdown","source":"### 3) Spatial throughput/Area spectral efficiency (for bipolar networks): $\\lambda \\times (1-P_o) \\times \\log_2(1+\\beta)$","metadata":{"deepnote_cell_type":"markdown","cell_id":"00016-406fd6f0-1130-4997-8c6d-c84a644d45e0","output_cleared":false}},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00017-a9d82852-a6ef-4cdb-bcd1-c4342274621b","output_cleared":false,"source_hash":"3d6ffccf","execution_start":1606463820060,"execution_millis":299},"source":"#Path-loss\nalpha=3\n#Constant from Rayleigh fading \nkappa = math.gamma(1 + 2/alpha) * math.gamma(1- 2/alpha)\n#Network density\nlamb = np.linspace(0,0.4,200)\n#####\nplt.rcParams.update({'font.size': 18})\nplt.figure(figsize=(14,8))\n###########\n#distance\nd=1\n#SIR th\nbeta=1\nplt.plot(lamb, lamb * d * np.exp(-kappa * lamb * d**2 * np.pi * beta**(2/alpha)) * np.log2(1+beta) , '-' , label=r'$d=1,\\beta=1$')\n#distance\nd=1\n#SIR th\nbeta=3\nplt.plot(lamb, lamb * d * np.exp(-kappa * lamb * d**2 * np.pi * beta**(2/alpha)) * np.log2(1+beta), ':' , label=r'$d=1,\\beta=3$')\n###########\n#distance\nd=3\n#SIR th\nbeta=1\nplt.plot(lamb, lamb * d * np.exp(-kappa * lamb * d**2 * np.pi * beta**(2/alpha))* np.log2(1+beta) ,'--' , label=r'$d=3,\\beta=1$')\n###########\n#distance\nd=3\n#SIR th\nbeta=3\nplt.plot(lamb, lamb *  d * np.exp(-kappa * lamb * d**2 * np.pi * beta**(2/alpha))* np.log2(1+beta) ,'-.' ,label=r'$d=3,\\beta=3$')\n###########\n###########\n#distance\nd=2\n#SIR th\nbeta=2\nplt.plot(lamb, lamb *  d * np.exp(-kappa * lamb * d**2 * np.pi * beta**(2/alpha))* np.log2(1+beta) ,'-' ,label=r'$d=2,\\beta=2$')\n###########\nplt.xlabel(\"Network density\")\nplt.ylabel(\"ST [bits/s/Hz/m^2]\")\nplt.grid()\nplt.legend()\nplt.show()","execution_count":11,"outputs":[{"data":{"text/plain":"<Figure size 1008x576 with 1 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\n"},"metadata":{"needs_background":"light"},"output_type":"display_data"}]},{"cell_type":"markdown","source":"### Try out with different values for the 3 metrics in consideration.","metadata":{"deepnote_cell_type":"markdown","cell_id":"00018-a6bc3086-95ed-461d-9fe2-28d3d3319b27","output_cleared":false}},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00019-11397f2c-f161-4e79-8253-1a9132d2c511","output_cleared":false,"source_hash":"b623e53d","execution_start":1606463820361,"execution_millis":1},"source":"","execution_count":11,"outputs":[]}],"nbformat":4,"nbformat_minor":2,"metadata":{"kernelspec":{"name":"python36","display_name":"Python 3.6","language":"python"},"language_info":{"mimetype":"text/x-python","nbconvert_exporter":"python","name":"python","pygments_lexer":"ipython3","version":"3.6.6","file_extension":".py","codemirror_mode":{"version":3,"name":"ipython"}},"deepnote_notebook_id":"bb3f8628-1b92-4047-8d99-3c4b00d521a7","deepnote_execution_queue":[]}}