ConceptID,ConceptLabel,Dependencies,TaxonomyID
1,Real Numbers,,MATH
2,Complex Numbers,1,MATH
3,Imaginary Unit,1,MATH
4,Euler's Formula,2|3,MATH
5,Phasors,2|4,MATH
6,Vectors,1,MATH
7,Matrices,6,MATH
8,Linear Algebra,6|7,MATH
9,Differential Calculus,1,MATH
10,Integral Calculus,1,MATH
11,Differential Equations,9,MATH
12,Partial Derivatives,9,MATH
13,Probability Theory,1,MATH
14,Random Variables,13,MATH
15,Statistical Distributions,14,MATH
16,Mean and Expected Value,14,MATH
17,Variance,16,MATH
18,Standard Deviation,17,MATH
19,Trigonometry,1,MATH
20,Exponential Functions,1,MATH
21,Logarithmic Functions,1,MATH
22,Series and Sequences,1,MATH
23,Eigenvalues and Eigenvectors,8,MATH
24,Inner Product,6,MATH
25,Norms and Metrics,6,MATH
26,Signals,1,SIG
27,Systems,26,SIG
28,Continuous-Time Signals,26,SIG
29,Discrete-Time Signals,26,SIG
30,Analog Signals,28,SIG
31,Digital Signals,29,SIG
32,Periodic Signals,26,SIG
33,Aperiodic Signals,26,SIG
34,Even Signals,26,SIG
35,Odd Signals,26,SIG
36,Energy Signals,26,SIG
37,Power Signals,26,SIG
38,Unit Step Function,1,SIG
39,Unit Impulse Function,1,SIG
40,Sinusoidal Signals,19|26,SIG
41,Exponential Signals,20|26,SIG
42,Signal Operations,26,SIG
43,Time Shifting,42,SIG
44,Time Scaling,42,SIG
45,Signal Amplitude,26,SIG
46,Signal Frequency,26,SIG
47,Signal Phase,26|19,SIG
48,Signal Duration,26,SIG
49,Signal Energy,26|10,SIG
50,Signal Power,26,SIG
51,Linear Systems,27,SYS
52,Nonlinear Systems,27,SYS
53,Time-Invariant Systems,27,SYS
54,Time-Varying Systems,27,SYS
55,Causality,27,SYS
56,Non-Causal Systems,27,SYS
57,Stability,27,SYS
58,Unstable Systems,27,SYS
59,Memory Systems,27,SYS
60,Memoryless Systems,27,SYS
61,Invertible Systems,27,SYS
62,System Response,27,SYS
63,Impulse Response,39|62,SYS
64,Step Response,38|62,SYS
65,Frequency Response,62|46,SYS
66,Transfer Function,65,SYS
67,System Identification,27|62,SYS
68,Feedback Systems,27,SYS
69,Feedforward Systems,27,SYS
70,System Interconnections,27,SYS
71,Convolution,10|26|27,CONV
72,Discrete Convolution,71|29,CONV
73,Circular Convolution,71,CONV
74,Convolution Theorem,71,CONV
75,Correlation,26,CONV
76,Autocorrelation,75,CONV
77,Cross-Correlation,75,CONV
78,Correlation Coefficient,75|17,CONV
79,Matched Filter,77,CONV
80,Wiener Filter,76,CONV
81,Sampling,28|29,SAMP
82,Sampling Rate,81,SAMP
83,Sampling Theorem,81|82,SAMP
84,Nyquist Rate,83,SAMP
85,Nyquist Frequency,84,SAMP
86,Aliasing,81|85,SAMP
87,Anti-Aliasing Filter,86,SAMP
88,Oversampling,82,SAMP
89,Undersampling,82,SAMP
90,Quantization,26,SAMP
91,Quantization Error,90,SAMP
92,Quantization Noise,90,SAMP
93,Uniform Quantization,90,SAMP
94,Non-Uniform Quantization,90,SAMP
95,Signal Reconstruction,81|90,SAMP
96,Fourier Series,10|19|32,FOUR
97,Fourier Coefficients,96,FOUR
98,Fourier Transform,10|96,FOUR
99,Inverse Fourier Transform,98,FOUR
100,Discrete Fourier Transform,98|29,FOUR
101,Inverse DFT,100,FOUR
102,Fast Fourier Transform,100,FOUR
103,FFT Algorithms,102,FOUR
104,Radix-2 FFT,103,FOUR
105,Cooley-Tukey Algorithm,104,FOUR
106,Frequency Domain,98,FOUR
107,Time Domain,26,FOUR
108,Spectrum,98,FOUR
109,Magnitude Spectrum,108,FOUR
110,Phase Spectrum,108,FOUR
111,Power Spectrum,108|50,FOUR
112,Spectral Analysis,108,FOUR
113,Spectral Leakage,100,FOUR
114,Window Functions,113,FOUR
115,Windowing Techniques,114,FOUR
116,Laplace Transform,10|20|28,XFRM
117,Z-Transform,100|29,XFRM
118,Inverse Z-Transform,117,XFRM
119,Region of Convergence,117,XFRM
120,Poles,117,XFRM
121,Zeros,117,XFRM
122,Pole-Zero Plot,120|121,XFRM
123,Pole-Zero Analysis,122,XFRM
124,S-Plane,116,XFRM
125,Z-Plane,117,XFRM
126,Discrete Cosine Transform,100,XFRM
127,Wavelet Transform,98,XFRM
128,Discrete Wavelet Transform,127|29,XFRM
129,Continuous Wavelet Transform,127|28,XFRM
130,Short-Time Fourier Transform,98|114,XFRM
131,Filters,27|106,FILT
132,Low-Pass Filters,131,FILT
133,High-Pass Filters,131,FILT
134,Band-Pass Filters,131,FILT
135,Band-Stop Filters,131,FILT
136,Notch Filters,135,FILT
137,Comb Filters,131,FILT
138,All-Pass Filters,131,FILT
139,FIR Filters,131|72,FILT
140,IIR Filters,131|68,FILT
141,Filter Order,131,FILT
142,Filter Coefficients,131,FILT
143,Filter Stability,131|57,FILT
144,Filter Design Methods,131,FILT
145,Butterworth Filter,132|144,FILT
146,Chebyshev Filter,132|144,FILT
147,Elliptic Filter,132|144,FILT
148,Bessel Filter,132|144,FILT
149,Window Method,139|114,FILT
150,Frequency Sampling Method,139|100,FILT
151,Bilinear Transform,116|117,FILT
152,Impulse Invariance,140|63,FILT
153,Filter Banks,131,FILT
154,Multirate Filters,131,FILT
155,Polyphase Filters,154,FILT
156,Adaptive Filters,131,ADAP
157,Adaptive Algorithms,156,ADAP
158,Least Mean Squares,157,ADAP
159,Normalized LMS,158,ADAP
160,Recursive Least Squares,157,ADAP
161,Kalman Filter,160|14,ADAP
162,Adaptive Noise Cancellation,156,ADAP
163,Echo Cancellation,156,ADAP
164,Adaptive Equalization,156,ADAP
165,System Identification,67|156,ADAP
166,Random Processes,14|26,RAND
167,Stochastic Signals,166,RAND
168,White Noise,166,RAND
169,Colored Noise,168,RAND
170,Gaussian Noise,168|15,RAND
171,Signal-to-Noise Ratio,26|168,RAND
172,Noise Reduction,168|131,RAND
173,Statistical Signal Processing,166,RAND
174,Power Spectral Density,111|166,RAND
175,Wiener-Khinchin Theorem,76|174,RAND
176,Multirate Signal Processing,82|29,ADVN
177,Decimation,176,ADVN
178,Interpolation,176,ADVN
179,Upsampling,82,ADVN
180,Downsampling,82,ADVN
181,Signal Compression,26|90,ADVN
182,Lossy Compression,181,ADVN
183,Lossless Compression,181,ADVN
184,Transform Coding,181|98,ADVN
185,Huffman Coding,183,ADVN
186,Time-Frequency Analysis,98|107,ADVN
187,Spectrogram,130|186,ADVN
188,Wigner-Ville Distribution,186,ADVN
189,Ambiguity Function,186,ADVN
190,Compressed Sensing,112|8,ADVN
191,Digital Signal Processors,31,APPL
192,FPGA Implementation,31|191,APPL
193,Real-Time Processing,27,APPL
194,Audio Signal Processing,26|131,APPL
195,Image Processing,26|131,APPL
196,Video Processing,195,APPL
197,Machine Learning in DSP,26|131,APPL
198,Convolutional Neural Networks,71|8,APPL
199,Deep Learning for Signals,198,APPL
200,AI-Driven Signal Analysis,197|199,APPL