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APPLICATIONS OF ANN IN MICROWAVE ENGINEERING. Introduction. ANNs are neuroscience -inspired computational tools. Learn from experience/examples (training) & not the example itself.
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Introduction • ANNs are neuroscience -inspired computational tools. • Learn from experience/examples (training) & not the example itself. • Generalize automatically as a results of their structure (not by using human intelligence embedded in the form of ad hoc computer programs). • Used extensively for visual pattern recognition, speech understanding, and more recently, for modeling and simulation of complex processes. • Recently it has been applied to different branches of Microwave Engineering
When To Apply ANN • When the problem is poorly understood • When observations are difficult to carry out using noisy or incomplete data • When problem is complex, particularly while dealing with nonlinear systems
Feedforward Neural Model Output lines Hidden layer Input lines
Topics Covered • Smart antennae modeling • Demand node concept • Initialization & selection • Adaptation • Optimization
Smart Antenna Modeling • A smart antenna consists of an antenna array combined with signal processing in both space and time. • These systems of antennas include a large number of techniques that attempt to enhance the received signal, suppress all interfering signals, and increase capacity, in general.
ANN Model for Resonant Frequency Rectangular Patch Antenna
Training/Network Parameters • Network size: 5 40 1 • Learning Rate: 0.08 • Momentum: 0.205 • Time Step for integration: 5 10-10 • Training Time: 6.4 min. • No. of Epochs: 15000
Bandwidth of Patch Antenna Rectangular Patch Antenna
Rectangular Patch Antenna • Algorithm’s used • Back Propagation • Delta – Bar – Delta (DBD) • Extended DBD (EDBD) • Quick Propagation Other Details • ANN structure: • 3481 • Max. no. of iterations: 5,00,000 • Tolerance (RMS Error): 0.015
Network Parameters • BP Parameters • Learning Coefficients: • 0.3 for the 1st hidden layer • 0.25 for the 2nd hidden layer • 0.15 for the output layer • momentum coefficient : 0.4 • DBD Parameters • k = 0.01, = 0.5, = 0.7, a = 0.2 • Momentum coefficient = 0.4 • The sequential and/or random training procedure follows • EDBD Parameters • k = 0.095, k = 0.01, gm = 0.0, g = 0.0 • m = 0.01, = 0.1, = 0.7, l = 0.2, • The sequential and/or random training procedure follows • QP Parameters • = 0.0001 • a = 0.1 • = 1.0 • m = 2.0
Demand Node Concept Demand Node Concept
Input Step Output Radio network definition Geographical map Estimated tx location Propagation analysis Morphology model Coverage Land use categories interference distance Frequency allocation Freq plan Radio network analysis Stochastic channel characteristics Network performance Mobile network
Initialization & Selection Start • Distribute sensory neurons. • Place transmitting stations • Determine initial temperature. Determine supplying areas. Random selection of a Sensory neuron N N N No supply? No.of selection Values=preset Val.? Multiply supplied? Y Y Change position for attraction Or increasing power. Change position for repulsion or Decreasing power. Y
Adaptation E1=Energy of current system State z1 Determine transmitting Station tworst Change Power Displace T N Y Change position Determine supplying areas
Optimization E2=Energy of current System state z2 E1—e2<0 ? N Choose random Number r P:=prob(znew=zp) Y P<r ? N Y Regenerate state Z1 N Steady state System ? Reduce temperature Y End
Displacement:Case Of Attraction D1 D3 D5 D6 D2 D4 Sensory neuron Base station Area of coverage
Displacement:Case Of Repulsion Base station locations Sensoryneurons Borders of supplying areas. BEFORE AFTER
Power Enhancement Sensory neurons. Base station locations Borders of the supplying areas. BEFORE AFTER
Power Decrement Borders of the supplying areas Sensory neurons Base station After Before
Emerging Trends / Future Applications • To find the optimized compact structures for low-profile antennas • Applications in reconfigurable antennas/arrays • Applications in fractal antennas • To increase the efficiency of numerical algorithms used in antenna analysis like MoM, FDTD, FEM etc.
Conclusion • Neural networks mimics brain’s problem solving process & this has been the motivating factor for the use of ANN where • huge amount of data is involved. • the sources vary. • decision making is critical. • environment is complex.
REFERENCES [1]Haykin, S., 1999.Neural Networks A Comprehensive Foundation, 2nd edition, Pearson Education. [2]Freeman James A. & Skapura David M., Neural Networks, Pearson Education. [3]Yuhas, Ben & Ansari Nerman. Neural Networks in Telecommunications. [4]B.Yegnanarayana. 1999.Artificial Neural Networks. Prentice Hall of India. [5]G.A. Carpenter and S.Grossberg, ‘The ART of adaptive pattern recognition by a self-organization neural network’, IEEE Computer, vol. 21, pp. 77-88, 1988. [6]N.K. Bose and P.Liang, Neural Network Fundamentals with Graphs, Algorithms and Applications,McGraw-Hill,Int.