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	圧縮センシング	FIRフィルター設計
分野	信号処理	信号処理
系統	Process / pipeline	Process / pipeline
提唱年	2006	1987
提唱者	Emmanuel Candès, Justin Romberg, and Terence Tao	Thomas W. Parks and C. Sidney Burrus
種類	Sparse signal recovery	Finite Impulse Response filter design
原典	Candes, E. J., Romberg, J., & Tao, T. (2006). Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete and Inaccurate Measurements. IEEE Transactions on Information Theory, 52(2), 489–509.	Parks, T. W., & Burrus, C. S. (1987). Digital Filter Design. John Wiley & Sons.
別名	Compressed Sensing, CS, Sparse Recovery, Sub-Nyquist Sampling	FIR Design, Finite impulse response, Non-recursive filter design
関連	4	4
概要	Compressive Sensing (CS) is a signal acquisition and reconstruction technique that exploits signal sparsity to recover high-resolution signals from far fewer samples than required by the Nyquist sampling theorem. Developed by Emmanuel Candès, Justin Romberg, and Terence Tao in 2006, compressive sensing challenges the traditional sampling paradigm by showing that signals with sparse representations can be reconstructed from sub-Nyquist random measurements using nonlinear optimization.	Finite Impulse Response (FIR) filters are digital filters with an impulse response that settles to zero in finite time, making them fundamentally stable and easy to analyze. Unlike their IIR counterparts, FIR filters are inherently stable, can have exactly linear phase response, and are widely used in applications from audio processing to telecommunications where phase distortion must be minimized.