viii LIST OF ILLUSTRATIONS AND TABLES Figure 2.1 An illustrative show of the working process of the ASFS algorithm in its stage 1 (a), and stage 2 (b) ........................................................................18 Figure 2.2 An empirical comparison of the ASFS algorithm and the 1 -NN rule in a binary synthetic classification task .............................................................30 Figure 3.1 One experimental procedure of the center-out reach task for a rhesus monkey ....................................................................................................34 Figure 3.2 Estimated wavelet coefficients p.d.f.s conditioned on different directions from one typical neuron in P4 ..........................................................36 Figure 3.3 Experimental comparison of percent correct decoding rates of ASFS and k -NN ( k 1,5,9 ), together with input/output fusion methods, for P4 .......................................................................................................................42 Figure 3.4 Experimental comparison of percent correct decoding rates of ASFS and k -NN ( k 1,5,9 ), together with input/output fusion methods, for P8 ........................................................................................................................42 Figure 3.5 Experimental comparison of correct decoding rates of ASFS and CSVC, together with the product rule, for P4 .....................................................44 Figure 3.6 Experimental comparison of correct decoding rates of ASFS and CSVC, together with the product rule, for P8 .....................................................45 ix Figure 4.1 Transmitted monocycle pulse waveform of Time Domain PulsON 210 UWB radar and its Fourier spectrum..........................................................49 Figure 4.2 Time Domain PulsON 210 UWB radar ...........................................49 Figure 4.3 One radar scan waveform from Time Domain PulsON 210...........50 Figure 4.4 The convolution result between the absolute value of one raw scan data and a Gaussian filter (a), a Butterworth filter (b) ......................................55 Figure 4.5 The image show of target images gathered from walking orientation I (a), walking orientation II (b), walking orientation III (c), walking orientation IV (d) ..................................................................................................................63 Figure 4.6 Four full Procrustes mean shapes corresponding to the four sample data I ~ IV ...........................................................................................................64 Figure 4.7 Procrustes mean shapes of samples I ~ IV for the training set (a), the test set (b)......................................................................................................66 Figure 4.8 A geometric view of the unit size shape sphere, the tangent space, T ( ) , the Procrustes fit, w P , the Procrustes distance, d F , and the tangent plane coordinates, v ...........................................................................................70 Figure 4.9 Eigenvalues of Su , sample I (a), sample II (b), sample III (c), sample IV (d) ......................................................................................................76 x Figure 4.10 Eigenvectors of Su (left panel) and scores of principal components of G (right panel) for sample I (a), sample II (b), sample III (c), sample IV (d) ......................................................................................................79 Figure 4.11 The top four eigenvectors of Su of the training set (left panel) and the test set (right panel) for sample I (a), sample II (b), sample III (c), sample IV (d) ..................................................................................................................84 Figure 5.1 Diagrammatic description of the design of an automatic UWB radar target identification system using both the static and dynamic features ..........92 Table 4.1 Experimental configurations for gathering four sample data sets ....62 Table 4.2 The DTW distance measures between the training set Procrustes mean shapes of samples I ~ IV, and the test set Procrustes mean shapes of samples I ~ IV ....................................................................................................68 Table 4.3 The F values when using the test sets of samples I ~ IV to match the training set Procrustes mean shapes from samples I ~ IV ..........................72 Table 4.4 Comparing the first p PCs of the training sets of samples I ~ IV with the first p PCs of the test sets of samples I ~ IV, p 3 (a), p 4 (b) .85 Table 4.5 Cosines of the angles between columns of L and M ; the result of LTI M I is shown in (a), and LTIV M I in (b).........................................................86