Quantized Probability Density Functions
Quantized Probability Density Functions Understanding the concept, mathematical functions, and applications of quantized probability density functions (PDFs). What Are Quantized Probability Density Functions? Quantized probability density functions (PDFs) describe the distribution of a random variable after it has been discretized or quantized. Instead of representing a continuous range of values, the random variable is mapped to discrete levels, which simplifies calculations and reduces data representation complexity. Key Difference: Unlike continuous PDFs, quantized PDFs have discrete values. Example: Quantizing a continuous signal into discrete amplitude levels for digital storage. Key Insight: Quantized PDFs are widely used in digital signal processing, image compression, and machine learning. Mathematical Representation of Quantized PDFs Quantized PDFs map continuous values into discrete bins, ...