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Principles of Modern Radar - Volume 2 1891121537

Principles of Modern Radar - Volume 2 1891121537

Principles of Modern Radar - Volume 2 1891121537

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D s % = Boulic-Thalmann model parameter: relative duration <strong>of</strong> supportf c = transmitted center frequencyG = antenna gainγ = chirp slopeH c = height <strong>of</strong> a cylindrical targetH e = height <strong>of</strong> an ellipsoidal targetHT = Boulic-Thalmann model parameter: height <strong>of</strong> thighh = human motion vectorK = human model parameter: number <strong>of</strong> parts into which human body is dividedλ = signal wavelengthM = sinusoidal approximation to human model parameter: slope <strong>of</strong> linearphase componentμ bp = mean value <strong>of</strong> Gaussian-distributed body part dimensionN = total number <strong>of</strong> pulses transmittedn = pulse numberOS L = Boulic-Thalmann model variable: lateral translation <strong>of</strong> torsoOS V = Boulic-Thalmann model variable: vertical translation <strong>of</strong> torsoOS FB = Boulic-Thalmann model variable: forward/backward translation <strong>of</strong> torsoφ FB = Boulic-Thalmann model parameter: phase shift <strong>of</strong> forward/backwardtranslation <strong>of</strong> torsoP t = transmit powerr = distance between the center <strong>of</strong> an ellipsoid and the point on the surface <strong>of</strong> theellipsoid at which an incident wave first makes contactR = radar slant rangeR c = radius <strong>of</strong> base <strong>of</strong> a cylindrical targetR e = radius <strong>of</strong> an ellipsoidal target for two equivalent sidesRLc = Boulic-Thalmann model parameter: relative length <strong>of</strong> walking cycleR s = radius <strong>of</strong> a spherical targetRV = Boulic-Thalmann model parameter: average walking velocityr 1 = initial target vectorr N = vector pointing to target location after N pulses transmittedr b = range bin <strong>of</strong> peak pulse compressed human returns h = received radar signal for a human targets r = received radar signal for a point targetσ = target radar cross sectionσ bp = variance <strong>of</strong> Gaussian-distributed body part dimensionσ c = radar cross section for a cylinderσ e = radar cross section for an ellipsoidσ s = radar cross section for a spheret = total time elapsed since transmission <strong>of</strong> first pulseˆt = time elapsed within a single pulse repetition intervalt% = Boulic-Thalmann model parameter: time relative to start <strong>of</strong> walking cycleT = pulse repetition intervalτ = pulse widtht d = round-trip time delay <strong>of</strong> signal between antenna and targetθ e = angle with respect to the height axis for a ellipsoidal targetx p = pulse compressed human returnx p,sin = sinusoidal approximation to pulse compressed human return16.1 Introduction 709

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