Thesis - Department of Electronic & Computer Engineering

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cess, we actually treat each spike equally, no matter where it is from. Therefore, weshould get more accurate collision analysis if this characteristic is added to the model.A periodic model is presented below for collision analysis.Suppose that in a certain time interval, all neurons can be assumed firing periodicallywith periodin Fig. 5.12.T irespectively, and these pulse streams are independent, as shownT 1T 2Tps 1As 2T Ns NT 1 T 2 … T NFig. 5.12 The periodic modelSuppose< <
ps ( i) = ( 1 – ϕ i)δ( s)for s = 0ps ( i) = ϕ iδ( s – A)for s = Awhereps ( 1, s 2,…,s N)is the multidimensional probability density function of theamplitudes of all the pulse streams and δ( s)is the Dirac delta function.• Collision rateFor the periodic model, the probability that a spike from neuronother spikes would beicollides with∏p c () i = 1–( 1–ϕ j ).j≠iFrom the above equation, the spikes from the most active neuron has the smallestcollision rate, since p c () i is minimum when ϕ i > ϕ j for all j≠i. The most inactiveneuron has the largest collision rate.Assume that the average firing rate of every neuron is the same:f 1= f 3= … = f N= f.We get the simple relationshipp c = 1 – ( 1 – ϕ) N – 1 ,where ϕ = T p f .IfT pf « 1,N » 1 , we have59
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the system level. Our results show
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activities. The basin of attraction
Page 9 and 10: It is interesting to note that whic
Page 11 and 12: Although there is no saturation in
Page 13 and 14: • Response time of the system;As
Page 15 and 16: e verified by computer simulation (
Page 17 and 18: inhibition. Due to the fact that ea
Page 19 and 20: tion. Thus the power consumption is
Page 21 and 22: Let∆be the minimum time necessary
Page 23 and 24: The sender initiates the sequence b
Page 25 and 26: Here in Table 1 is the comparison o
Page 27 and 28: source cell will be broadcast on th
Page 29 and 30: At this point, it seems appropriate
Page 31 and 32: detected, all the potential spikes
Page 33 and 34: InitializationFor each timestep ε
Page 35 and 36: global inhibition BusActivity to fr
Page 37 and 38: Spikes from the winnerATpTTT n T n+
Page 39 and 40: the network will either work at WTA
Page 41 and 42: The computer simulation results for
Page 43 and 44: 5.5 Steady State AnalysisAs demonst
Page 45 and 46: all the losers. To ensure that all
Page 47 and 48: 10090θ=θ mThe necessary condition
Page 49 and 50: 100Necessary conditions to exhibit
Page 51 and 52: The response time is estimated in t
Page 53 and 54: 5.6.2 Further study on the non-arbi
Page 55 and 56: 100Response time V.S. equivalent ga
Page 57: cell will never collide with each o
Page 61 and 62: These results show that the collisi
Page 63 and 64: 5.7.4 SummaryCompared with the Pois
Page 65 and 66: 6. ConclusionsIn this thesis, a cla
Page 67 and 68: In this thesis, we consider only a
Page 69 and 70: v i() t≤I i----------- ( 1 - e1 -
Page 71 and 72: If a+ b - 1≥0, then τ---- d [ v
Page 73 and 74: If a+ b - 1 > 0, since v i() t > 0
Page 75 and 76: whereV ˙ i () t=max( v i ()0 t , )
Page 77 and 78: θ t s Nf f wp ct(%) p cl(%) p cw(%
Page 79 and 80: 10. “WTA networks with lateral ex
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Thesis - Department of Electronic & Computer Engineering

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