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Concept Enumeration

Sample Prompt

Here is a sample prompt that will generate the top 150 concepts in this course. When we first ran this in September of 2024 LLMs could only handle about 150 concepts. Today we have seen LLMs that can do over 300 concepts.

Prompt

Please create a numbered list of the 150 most essential concepts in an undergraduate course in signal processing we have described above. For each concept, just return the concept name and use acronyms and abbreviations when appropriate. They will be used to label a network graph. Make sure that the concepts are distinct and are not duplicates.

Start with the most basic foundational concepts that are prerequisites for the course, and then proceed from the basic to the most complex concepts. Return the numbered list just one concept per line.

Response

ChatGPT o1-preview Thought for 51 seconds

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

o1

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