Analyzing taxonomy distribution...

====================================================================== TAXONOMY DISTRIBUTION ANALYSIS ======================================================================

Total Concepts: 200

Distribution by Category: Category | Count | Percentage | Status

---

ARM | 30 | 15.0% | ✓ BENCH | 30 | 15.0% | ✓ FFT | 25 | 12.5% | ✓ SIG | 25 | 12.5% | ✓ MEM | 25 | 12.5% | ✓ MATH | 20 | 10.0% | ✓ LIB | 20 | 10.0% | ✓ FXP | 18 | 9.0% | ✓ OPT | 7 | 3.5% | ✓

====================================================================== ✓ All categories are under 30% threshold - BALANCED

Largest category: 15.0% Number of categories: 9 ======================================================================

Detailed Concept Listing by Category:

ARM - 30 concepts (15.0%)

1. ARM Cortex M Series
2. Cortex M4 Processor
3. Cortex M33 Processor
4. Instruction Set Architecture
5. Thumb Instructions
6. DSP Extension Instructions
7. Single Instruction Multiple Data
8. MAC Instructions
9. Saturating Arithmetic
10. Floating Point Unit
11. Single Precision Float
12. Double Precision Float
13. Hardware Floating Point
14. Software Floating Point
15. FPU Register File
16. Pipeline Architecture
17. Instruction Pipeline
18. Branch Prediction
19. Interrupt Handling
20. Exception Handling
21. Memory Mapped IO
22. Peripheral Access
23. Clock Configuration
24. Clock Cycles
25. Instruction Cycle Count
26. Wait States
27. Flash Memory Access
28. RAM Access Patterns
29. Direct Memory Access
30. DMA Channels

BENCH - 30 concepts (15.0%)

1. Performance Metrics
2. Execution Time
3. Clock Cycle Measurement
4. System Timer
5. High Resolution Timer
6. Timestamp Counter
7. Profiling Tools
8. Code Profiling
9. Function Profiling
10. Instruction Profiling
11. Statistical Analysis
12. Mean Execution Time
13. Standard Deviation
14. Variance Analysis
15. Outlier Detection
16. Confidence Intervals
17. Benchmark Repeatability
18. Test Case Design
19. Input Signal Generation
20. Sine Wave Test Signal
21. Chirp Signal
22. White Noise Signal
23. Impulse Response
24. Frequency Sweep
25. Amplitude Scaling
26. Baseline Measurement
27. Comparative Analysis
28. Performance Regression
29. Benchmark Automation
30. Test Harness Design

FFT - 25 concepts (12.5%)

1. Fast Fourier Transform
2. Cooley-Tukey Algorithm
3. Divide And Conquer
4. Butterfly Operation
5. Radix-2 FFT
6. Radix-4 FFT
7. Radix-8 FFT
8. Mixed Radix FFT
9. Decimation In Time
10. Decimation In Frequency
11. Bit Reversal Permutation
12. Twiddle Factors
13. In-Place Computation
14. Computational Complexity
15. FFT Size Selection
16. Power Of Two Constraint
17. Inverse FFT
18. FFT Scaling
19. Real FFT
20. Complex FFT
21. Half-Spectrum Property
22. Zero Padding
23. Frequency Resolution
24. Time Resolution Tradeoff
25. Circular Convolution

SIG - 25 concepts (12.5%)

1. Digital Signal Processing
2. Analog To Digital Conversion
3. Digital To Analog Conversion
4. Sample Rate
5. Quantization
6. Bit Depth
7. Dynamic Range
8. Signal To Noise Ratio
9. Windowing Functions
10. Rectangular Window
11. Hanning Window
12. Hamming Window
13. Blackman Window
14. Kaiser Window
15. Window Sidelobe Levels
16. Spectral Leakage
17. Scalloping Loss
18. Overlap Add Method
19. Overlap Save Method
20. Frame Size
21. Hop Size
22. Frequency Bins
23. Bin Width
24. Spectrum Analysis
25. Spectrogram

MEM - 25 concepts (12.5%)

1. Cache Memory
2. Cache Hit Rate
3. Cache Miss Penalty
4. Data Cache
5. Instruction Cache
6. Cache Line Size
7. Memory Alignment
8. Aligned Data Access
9. Unaligned Data Access
10. Memory Bandwidth
11. Memory Latency
12. Stack Memory
13. Heap Memory
14. Static Memory Allocation
15. Dynamic Memory Allocation
16. Buffer Management
17. Double Buffering
18. Ping Pong Buffers
19. Circular Buffers
20. Memory Copy Operations
21. Data Layout
22. Structure Packing
23. Array Of Structures
24. Structure Of Arrays
25. Memory Fragmentation

MATH - 20 concepts (10.0%)

1. Complex Numbers
2. Euler's Formula
3. Sine Wave Representation
4. Frequency Domain
5. Time Domain
6. Discrete Fourier Transform
7. Continuous Fourier Transform
8. Transform Pairs
9. Linearity Property

1. Time Shifting
2. Frequency Shifting
3. Convolution Theorem
4. Parseval's Theorem
5. Symmetry Properties
6. Magnitude Spectrum
7. Phase Spectrum
8. Rectangular Form
9. Polar Form
10. Sampling Theorem
11. Nyquist Frequency

LIB - 20 concepts (10.0%)

1. CMSIS DSP Library
2. FFTW Library
3. Kiss FFT
4. FFT Library Licensing
5. Open Source Libraries
6. Proprietary Libraries
7. Library API Design
8. Function Call Overhead
9. Initialization Functions
10. Configuration Parameters
11. Library Documentation
12. Example Code
13. GitHub Repositories
14. Version Control
15. Library Integration
16. Header Files
17. Linking Libraries
18. Static Linking
19. Dynamic Linking
20. Library Dependencies

FXP - 18 concepts (9.0%)

1. Fixed Point Numbers
2. Q Format Notation
3. Integer Representation
4. Fractional Representation
5. Scaling Factor
6. Fixed Point Multiplication
7. Fixed Point Division
8. Fixed Point Addition
9. Overflow Detection
10. Saturation Handling
11. Rounding Modes
12. Truncation Error
13. Quantization Noise
14. Dynamic Range Management
15. Precision Analysis
16. Bit Width Selection
17. Sign Extension
18. Fixed To Float Conversion

OPT - 7 concepts (3.5%)

1. Compiler Optimization Levels
2. Loop Unrolling
3. Function Inlining
4. Code Size Optimization
5. Speed Optimization
6. Constant Propagation
7. Dead Code Elimination