Dalam skala kecil, baik posisi maupun momentum sebuah partikel tidak bisa ditentukan secara pasti, seberapapun canggihnya instrumen yg kita miliki. Pertanyaannya, apakah ada akibat dalam skala besar oleh adanya prinsip ketidakpastian ini?
Kutip dari: Anton_Soepriyanto pada Desember 25, 2011, 12:02:30 PM
Dalam skala kecil, baik posisi maupun momentum sebuah partikel tidak bisa ditentukan secara pasti, seberapapun canggihnya instrumen yg kita miliki. Pertanyaannya, apakah ada akibat dalam skala besar oleh adanya prinsip ketidakpastian ini?
Dalam skala besar ketidakpastian Hesenberg berpengaruh dalam pemrosesas signal (signal processing) :
Signal processing
In the context of signal processing, particularly time–frequency analysis, uncertainty principles are referred to as the Gabor limit, after Dennis Gabor, or sometimes the Heisenberg–Gabor limit. The basic result, which follows from Benedicks's theorem, below, is that a function cannot be both time limited and band limited (a function and its Fourier transform cannot both have bounded domain) – see bandlimited versus timelimited. Stated alternatively, "one cannot simultaneously localize a signal (function) in both the time domain (f) and frequency domain (Fourier transform)". When applied to filters, the result is that one cannot achieve high temporal resolution and frequency resolution at the same time; a concrete example are the resolution issues of the short-time Fourier transform – if one uses a wide window, one achieves good frequency resolution at the cost of temporal resolution, while a narrow window has the opposite trade-off.
Alternative theorems give more precise quantitative results, and in time–frequency analysis, rather than interpreting the (1-dimensional) time and frequency domains separately, one instead interprets the limit as a lower limit on the support of a function in the (2-dimensional) time–frequency plane. In practice the Gabor limit limits the simultaneous time–frequency resolution one can achieve without interference; it is possible to achieve higher resolution, but at the cost of different components of the signal interfering with each other.
[pranala luar disembunyikan, sila masuk atau daftar.]
Oh, mksh baru dengar ada Gabor limit, taunya cuma shannon limit. Tapi itu sptny cuma di frek tinggi ya?