Summary

This blog by Allen (2016) surveys methods for generating pink (1/f) noise, tracing the classic Voss–Clarke (Voss–McCartney) approach popularized by Gardner and explaining practical implementations. Readers will learn how time-domain random-walk mixing and FFT-based spectral shaping produce the 1/f power-law spectrum and when to prefer each method for audio and signal-analysis applications.

Key Takeaways

• Understand the Voss–Clarke (Voss–McCartney) algorithm and why mixing random octave-limited random processes yields a 1/f spectrum
• Implement pink noise using FFT-based spectral shaping (apply 1/√f magnitude shaping to white noise) and handle phase/overlap issues
• Evaluate pink noise by estimating PSD on log–log axes and measuring the spectral slope to verify 1/f behavior
• Compare alternatives: time-domain filtering, autoregressive/fractional models, and practical FIR/IIR approximations for 1/f coloration

Who Should Read This

Practicing DSP and audio engineers, researchers, and advanced hobbyists who need reliable pink-noise generators for testing, synthesis, or analysis.

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