{"cells":[{"cell_type":"markdown","source":"# BL40A2030 Wireless Communication Networks\n\n## Week 5: Wireless networks - Scaling laws, empirical interference distribution and outage probability\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)","metadata":{"deepnote_cell_type":"markdown","collapsed":true,"cell_id":"00000-afce45b7-2e42-4e93-b71c-7260d92507dd"}},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00001-06dcdfc3-c0a8-45bc-947c-a8b4f185a20b","output_cleared":false,"source_hash":"a1e64e99","execution_start":1606463557720,"execution_millis":296},"source":"import numpy as np \nimport matplotlib.pyplot as plt\nfrom matplotlib import style\nstyle.use('bmh')\nfrom scipy.spatial import distance\n#Not to show warning messages (to keep the notebook clean)\nimport warnings\n\nwarnings.filterwarnings('ignore')","execution_count":1,"outputs":[]},{"cell_type":"markdown","source":"# Part I\n\n## Plotting the scaling laws\n\n- What happend with different networks when the number of nodes grow bigger and bigger?\n\n### Transport capacity bits-meter per second","metadata":{"deepnote_cell_type":"markdown","cell_id":"00002-aa401ca5-d79a-4304-a3a9-99fac8c729d1"}},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00003-db704984-9e0e-4a03-9baa-5f4f7ce6cd9d","output_cleared":false,"source_hash":"edc7b797","execution_start":1606463559759,"execution_millis":490},"source":"n = np.arange(0,10000)\nplt.rcParams.update({'font.size': 18})\nplt.figure(figsize=(12, 8))\n# Transport capacity with arbitrary topology, immobile node and protocol model [5] (eq. 8)\nTpC_AN_IN_PM = np.sqrt(n)\nplt.semilogy(n,TpC_AN_IN_PM, label = 'AT, IN, PM')\n# Transport capacity with arbitrary topology, immobile node and physical model [5] (eq. 10) with path-loss exponent alpha \na=4\nTpC_AN_IN_PhyM = n**((a-1)/a)\nplt.semilogy(n,TpC_AN_IN_PhyM, label = 'AT, IN, PhyM')\nplt.legend()\nplt.show()","execution_count":2,"outputs":[{"data":{"text/plain":"<Figure size 864x576 with 1 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\n"},"metadata":{"needs_background":"light"},"output_type":"display_data"}]},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00004-f80ca30a-5e67-4318-964a-4ea3362ddb55","output_cleared":false,"source_hash":"e1619d2e","execution_start":1606463561803,"execution_millis":349},"source":"##Transport capacity per node\nplt.rcParams.update({'font.size': 18})\nplt.figure(figsize=(12, 8))\nTpC_AN_IN_PM_pernode = 1/np.sqrt(n)\nplt.semilogy(n,TpC_AN_IN_PM_pernode, label = 'AT, IN, PM')\n##\na=4\nTpC_AN_IN_PhyM = 1/n**(1/a)\nplt.semilogy(n,TpC_AN_IN_PhyM, label = 'AT, IN, PhyM')\nplt.legend()\nplt.show()","execution_count":3,"outputs":[{"data":{"text/plain":"<Figure size 864x576 with 1 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\n"},"metadata":{"needs_background":"light"},"output_type":"display_data"}]},{"cell_type":"markdown","source":"# Part II\n\n## Interference in a snapshot of 2-D Poisson Point Process\n\n- Path-loss exponent: $\\alpha$\n- Interference: $\\sum d_i^{-\\alpha}$, where $i$ are the interferering nodes.\n\n### Distances in a snapshot","metadata":{"deepnote_cell_type":"markdown","cell_id":"00005-104448ae-4b6b-41ec-a2ab-cbbbc25aea43"}},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00006-823cfae2-f4f1-4c32-9615-b052e4178a94","output_cleared":false,"source_hash":"e2369120","execution_start":1606463564269,"execution_millis":144},"source":"#Network size (square)\nL = 100\n#Number of nodes\nmean_poisson = 100\nn = np.random.poisson(mean_poisson)\nprint('number of points:', n)\n#\n#Uniform distribution in x\nposition_x_realization = np.random.uniform(-L/2,L/2,n)\n\n#Uniform distribution in y\nposition_y_realization = np.random.uniform(-L/2,L/2,n)\n\n# Figure\nplt.rcParams.update({'font.size': 18})\nplt.figure(figsize=(14, 14))\nplt.plot(position_x_realization, position_y_realization, 'r o')\nplt.plot(0, 0, 's',markersize=12)\nplt.xlim(-L/2,L/2)\nplt.ylim(-L/2,L/2)\nplt.show()","execution_count":4,"outputs":[{"name":"stdout","text":"number of points: 103\n","output_type":"stream"},{"data":{"text/plain":"<Figure size 1008x1008 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"},"output_type":"display_data"}]},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00007-67f836db-783f-4490-bb63-edbb8f06dc0e","output_cleared":false,"source_hash":"dd86e033","execution_start":1606463566429,"execution_millis":317},"source":"#Path-loss exponent\nalpha = 3\n#Manipulating arrays to compute distances\nposition_x_realization_t = np.transpose(position_x_realization) \nposition_y_realization_t = np.transpose(position_y_realization) \nposition_final = []\nposition_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###\ndistance_rx = []\ndistance_rx = [distance.euclidean(position_final[i],[0,0]) for i in range(n)]\ninterference_i = []\ninterference_i = [distance_rx[i]**(-alpha) for i in range(n)]\ninterference = np.sum(interference_i)\n#The distance to the rx2 (L/3, -L/4)\n###Plot\nplt.rcParams.update({'font.size': 18})\nplt.figure(figsize=(14,8))\nplt.hist(distance_rx)\nplt.show()\nplt.rcParams.update({'font.size': 18})\nplt.figure(figsize=(14,8))\nplt.hist(interference_i)\nplt.show()\nprint(\"Interference:\", interference)","execution_count":5,"outputs":[{"data":{"text/plain":"<Figure size 1008x576 with 1 Axes>","image/png":"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\n"},"metadata":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\n"},"metadata":{"needs_background":"light"},"output_type":"display_data"},{"name":"stdout","text":"Interference: 0.10142502266971487\n","output_type":"stream"}]},{"cell_type":"markdown","source":"## Let's compute the distribution of the interference over many spatial realizations (trials)\n\n- It requires many loops.... (Monte Carlo)\n- Problems when $d_i<1$ ?","metadata":{"deepnote_cell_type":"markdown","cell_id":"00008-14615277-6851-46f6-bbdd-dd7aae211051"}},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00009-10131c34-c78d-4709-8a71-1f63f9c952ee","output_cleared":false,"source_hash":"276f9bca","execution_start":1606463575632,"execution_millis":2121},"source":"#Number of trials\ntrials = 1000\n#Network size (square)\nL = 100\nmean_poisson = 100\n#Path-loss exponent\nalpha = 3\ninterference = np.zeros(trials)\nfor 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    interference[j] = np.sum(interference_i)\n\n###Plot\nplt.rcParams.update({'font.size': 18})\nplt.figure(figsize=(14,8))\nplt.hist(interference,bins=500)\nplt.show()","execution_count":6,"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":"### Modified path-loss model 1:\n- if $d_i < 1$, then $P_i = 1$\n- otherwise: $P_i = d_i^{-\\alpha}$","metadata":{"deepnote_cell_type":"markdown","cell_id":"00010-5bd127fb-c49a-4fff-9711-6a9e601dd569"}},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00011-5ff3415f-bc8f-4343-ae53-fd3225bc9773","output_cleared":false,"source_hash":"2681dd7","execution_start":1606463579286,"execution_millis":1776},"source":"#Number of trials\ntrials = 1000\n#Network size (square)\nL = 100\nmean_poisson = 100\n#Path-loss exponent\nalpha = 3\ninterference = np.zeros(trials)\nfor 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 = np.zeros(n)\n    for i in range(n):\n        if distance_rx[i] < 1: \n            interference_i[i] = 1\n        else:        \n            interference_i[i] = distance_rx[i]**(-alpha)\n    interference[j] = np.sum(interference_i)\n\n###Plot\nplt.rcParams.update({'font.size': 18})\nplt.figure(figsize=(14,8))\nplt.hist(interference,bins = 100)\nplt.show()","execution_count":7,"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":"### Modified path-loss model 2:\n- $P_i = (1+d_i)^{-\\alpha}$","metadata":{"deepnote_cell_type":"markdown","cell_id":"00012-24138f07-1f64-4309-abd8-f83b20c3359d"}},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00013-aeb94e38-d94d-4690-be89-4bff357ac1b6","output_cleared":false,"source_hash":"133458e2","execution_start":1606463582961,"execution_millis":1887},"source":"#Number of trials\ntrials = 1000\n#Network size (square)\nL = 100\nmean_poisson = 100\n#Path-loss exponent\nalpha = 3\ninterference = np.zeros(trials)\nfor 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 = [(1+distance_rx[i])**(-alpha) for i in range(n)]\n    interference[j] = np.sum(interference_i)\n\n###Plot\nplt.rcParams.update({'font.size': 18})\nplt.figure(figsize=(14,8))\nplt.hist(interference, bins = 100)\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":"## Success probability based on Power capture model\n\n- Receiver located at the origin whose Transmitter is located at a distance $d_0$\n- Using standard path loss.\n- Signal: $S = d_0^{-\\alpha}$\n- Interference: $I = \\sum d_i^{-\\alpha}$\n- Success: $\\mathrm{SIR} > \\beta$, otherwise outage\n\nNo need to use modified versions of path-loss if $d_0 \\geq 1$ and $\\beta \\geq 1$ (any interferer closer to the RX0 than the TX0 will cause an outage event). Note that we are not intereted in the distribution of the interference, but in the probability that the SIR is greater than a threshold.","metadata":{"deepnote_cell_type":"markdown","cell_id":"00014-a429536f-1801-45f4-8e09-9c3cb764bfab"}},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00015-8d030ba9-eabd-4e35-af80-798e1bea4a94","output_cleared":false,"source_hash":"ac32f927","execution_start":1606463587208,"execution_millis":148},"source":"#Network size (square)\nL = 100\n###\nd=1\n#Number of nodes\nmean_poisson = 100\nn = np.random.poisson(mean_poisson)\nprint('number of points:', n)\n#\n#Uniform distribution in x\nposition_x_realization = np.random.uniform(-L/2,L/2,n)\n\n#Uniform distribution in y\nposition_y_realization = np.random.uniform(-L/2,L/2,n)\n\n# Figure\nplt.rcParams.update({'font.size': 18})\nplt.figure(figsize=(14, 14))\nplt.plot(position_x_realization, position_y_realization, 'r o')\nplt.plot(0, 0, 's',markersize=12)\nplt.plot(d, 0, '^',markersize=12)\nplt.xlim(-L/2,L/2)\nplt.ylim(-L/2,L/2)\nplt.show()","execution_count":9,"outputs":[{"name":"stdout","text":"number of points: 92\n","output_type":"stream"},{"data":{"text/plain":"<Figure size 1008x1008 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"},"output_type":"display_data"}]},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00016-9b8e3ba1-c54f-40a6-9ecc-3e36c3fd444f","output_cleared":false,"source_hash":"a170709e","execution_start":1606463589245,"execution_millis":138},"source":"#Number of trials\ntrials = 1000\n#Network size (square)\nL = 10\nmean_poisson = 10\n#\nd = 1\nbeta = 1 \n#Path-loss exponent\nalpha = 4\ninterference = np.zeros(trials)\nsuccess = 0\nfor 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###Success probability\nprint(\"Success probability:\", success/trials)","execution_count":10,"outputs":[{"name":"stdout","text":"Success probability: 0.668\n","output_type":"stream"}]},{"cell_type":"markdown","source":"## Let's plot the success probability as a function of the expected number of interferers\n\n- Defining a function that returns the probability of success using the Power Capture Model","metadata":{"deepnote_cell_type":"markdown","cell_id":"00017-c65e48fb-1416-4ab6-a834-3dab90370f8c"}},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00018-ba17e480-4ce8-444b-9c7f-097cdc456de1","output_cleared":false,"source_hash":"c1a815c9","execution_start":1606463591155,"execution_millis":1},"source":"def 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":11,"outputs":[]},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00019-b5c93bb0-da43-4d62-ad13-45742c71dc6d","output_cleared":false,"source_hash":"afc87921","execution_start":1606463593575,"execution_millis":181},"source":"suc_prob(d=1,beta=1,alpha=4,L=10,mean_poisson=10,trials=1000)","execution_count":12,"outputs":[{"output_type":"execute_result","execution_count":12,"data":{"text/plain":"0.675"},"metadata":{}}]},{"cell_type":"code","metadata":{"deepnote_cell_type":"code","trusted":true,"cell_id":"00020-c720b7fc-6fa7-41ee-a83a-b2764e1ac838","output_cleared":false,"source_hash":"7ef61016","execution_start":1606463594200,"execution_millis":79480},"source":"# Density of interferers as mean_poisson / network area\ndensity = []\ndensity = [i/L**2 for i in range(50)]\n###Path-loss\nn_trials = 1000\n#alpha=2\nsuc_a2 = []\nsuc_a2 = [suc_prob(d=1,beta=1,alpha=2,L=10,mean_poisson= i,trials = n_trials) for i in range(50)]\n#alpha=3\nsuc_a3 = []\nsuc_a3 = [suc_prob(d=1,beta=1,alpha=3,L=10,mean_poisson= i,trials =n_trials) for i in range(50)]\n#alpha=4\nsuc_a4 = []\nsuc_a4 = [suc_prob(d=1,beta=1,alpha=4,L=10,mean_poisson= i,trials =n_trials) for i in range(50)]\n\n\nplt.rcParams.update({'font.size': 18})\nplt.figure(figsize=(14,8))\nplt.plot(density, suc_a4,label=r'$\\alpha=4$')\nplt.plot(density, suc_a3,label=r'$\\alpha=3$')\nplt.plot(density, suc_a2,label=r'$\\alpha=2$')\nplt.xlabel(\"Density of interferers\")\nplt.ylabel(\"Success probability\")\nplt.legend()\nplt.show()\n\n###\n\nplt.rcParams.update({'font.size': 18})\nplt.figure(figsize=(14,8))\nplt.plot(density,  np.ones(50) - suc_a4,'o--' ,label=r'$\\alpha=4$')\nplt.plot(density, np.ones(50) - suc_a3, 'x:' , label=r'$\\alpha=3$')\nplt.plot(density, np.ones(50) - suc_a2,'s-' , label=r'$\\alpha=2$')\nplt.xlabel(\"Density of interferers\")\nplt.ylabel(\"Outage probability\")\nplt.legend()\nplt.show()","execution_count":13,"outputs":[{"data":{"text/plain":"<Figure size 1008x576 with 1 Axes>","image/png":"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\n"},"metadata":{"needs_background":"light"},"output_type":"display_data"},{"data":{"text/plain":"<Figure 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\n"},"metadata":{"needs_background":"light"},"output_type":"display_data"}]},{"cell_type":"markdown","source":"### 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