| 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
|
|
|