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Concept Dependencies

Prompt

Our next step is to create a fully connected
dependency graph for learning these Concepts.
In this step, for each Concept on this list, create a new
list of other concepts on which it depends.  If a concept
depends on a specific concept that is not listed,
then we will need to add it as a new concept.
This will help us determine the teaching order of the Concepts.

Return the new list as a CSV file using the following format:

The first column in the CSV file is a numeric concept ID
you assigned in the list above.  The second column is
the concept name.
The third column is a pipe-delimited list of the Concept
IDs that the concept depends upon.

Check your results to make sure that all concepts
are connected to at least one other concept.

If a concept is a Foundational concept,
there are no dependency concepts.

Response

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ID,Concept Name,Dependencies
1,Complex numbers,
2,Euler's formula,1
3,Phasors,1|2
4,Vectors,
5,Matrices,4
6,Linear algebra,4|5
7,Calculus,
8,Differential equations,7
9,Integration,7
10,Differentiation,7
11,Probability,
12,Random variables,11
13,Statistics,11|12
14,Mean,13
15,Variance,13
16,Standard deviation,13
17,Signals,1|4|7
18,Systems,17
19,Continuous-time signals,17
20,Discrete-time signals,17
21,Analog signals,19
22,Digital signals,20
23,Sampling,19|20
24,Quantization,22|23
25,Aliasing,23|24
26,Nyquist theorem,23|25
27,Convolution,9|10
28,Impulse response,18|27
29,LTI systems,18|28
30,Causality,29
31,Stability,29
32,Frequency response,29|34
33,Fourier series,7|17
34,Fourier Transform (FT),33
35,Inverse Fourier Transform (IFT),34
36,Laplace Transform,8
37,Z-Transform,20|34
38,Discrete Fourier Transform (DFT),20|34
39,Fast Fourier Transform (FFT),38
40,Window functions,38|39
41,Spectral analysis,34|38
42,Time domain,17
43,Frequency domain,34|38
44,Signal decomposition,33|34
45,Filtering,27|29
46,Low-pass filter (LPF),45
47,High-pass filter (HPF),45
48,Band-pass filter (BPF),45
49,Band-stop filter (BSF),45
50,FIR filters,20|45
51,IIR filters,20|45
52,Filter design,50|51
53,Bilinear transform,36|37
54,Butterworth filter,52
55,Chebyshev filter,52
56,Elliptic filter,52
57,Bessel filter,52
58,Digital Signal Processing (DSP),22|38|45
59,Modulation,17|58
60,Amplitude Modulation (AM),59
61,Frequency Modulation (FM),59
62,Phase Modulation (PM),59
63,Pulse-Code Modulation (PCM),22|59
64,Adaptive filtering,52|58
65,Least Mean Squares (LMS) algorithm,64
66,Recursive Least Squares (RLS) algorithm,64
67,Noise cancellation,64|65
68,Signal detection,41|58
69,Autocorrelation,13|17
70,Cross-correlation,13|17
71,Power Spectral Density (PSD),41|69
72,Energy Spectral Density (ESD),41|69
73,Random processes,12|17
74,Stationarity,73
75,Ergodicity,73
76,White noise,73
77,Colored noise,73
78,Signal estimation,68|73
79,Kalman filter,78
80,Wiener filter,78
81,Time-frequency analysis,41|42|43
82,Short-Time Fourier Transform (STFT),81
83,Spectrogram,82
84,Wavelet Transform (WT),81
85,Continuous Wavelet Transform (CWT),84
86,Discrete Wavelet Transform (DWT),84
87,Multiresolution analysis,86
88,Signal compression,58|86
89,Lossless compression,88
90,Lossy compression,88
91,Huffman coding,89
92,Entropy coding,89
93,Quantization noise,24|90
94,Sampling rate conversion,23|97
95,Interpolation,94
96,Decimation,94
97,Multirate signal processing,94|95|96
98,Polyphase filters,97
99,Filter banks,97|98
100,Subband coding,99
101,Oversampling,23|97
102,Undersampling,23|97
103,Compressed sensing,23|104
104,Sparse representation,88|103
105,Machine Learning (ML),13|58
106,Supervised learning,105
107,Unsupervised learning,105
108,Feature extraction,58|105
109,Pattern recognition,108|106
110,Classification,106|109
111,Regression,106|109
112,Neural Networks (NN),105
113,Deep Learning (DL),112
114,Convolutional Neural Networks (CNNs),113
115,Recurrent Neural Networks (RNNs),113
116,Autoencoders,113
117,Generative Adversarial Networks (GANs),113
118,Signal reconstruction,88|104
119,Signal prediction,73|105
120,Digital communications,58|59
121,Modulation schemes,59|120
122,Digital modulation,22|121
123,Quadrature Amplitude Modulation (QAM),122
124,Phase Shift Keying (PSK),122
125,Frequency Shift Keying (FSK),122
126,Orthogonal Frequency Division Multiplexing (OFDM),122|38
127,Channel coding,120
128,Error detection,127
129,Error correction,127
130,Communications signal processing,58|120
131,Radar signal processing,58|130
132,Sonar signal processing,58|130
133,Image processing,58|105
134,Edge detection,133
135,Image filtering,133|45
136,Image segmentation,133|108
137,Audio signal processing,58|17
138,Speech recognition,137|105
139,Speech synthesis,137
140,Voice over IP (VoIP),137|120
141,Multimedia signal processing,58|133|137
142,Virtual Reality (VR),141
143,Augmented Reality (AR),141
144,Cognitive signal processing,105|130
145,Quantum signal processing,58|146
146,Biosignal processing,58|73
147,Brain-Computer Interfaces (BCI),146|105
148,Internet of Things (IoT),58|120|149
149,Big data analytics,105|58
150,Ethical considerations in AI,105|149