Frequency resolution is the minimum frequency separation at which two sinusoidal components can be distinguished as separate peaks in a spectral estimate. For the DFT with N samples at sampling rate fs, the bin spacing is fs/N; effective resolution is worsened by window function main-lobe width. Formally: the resolution limit is the smallest Δf such that two spectral components at f and f+Δf produce distinguishable peaks. [formal: discretaspectus | substrate: mind | horizon: a moment | explicit: yes | epoch: 0.01]
Accepted ontology entry
frequency-resolution
Frequency resolution is the minimum frequency separation at which two sinusoidal components can be distinguished as separate peaks in a spectral estimate. For the DFT with N samples at sampling rate fs, the bin spacing is fs/N; effective r…
Definition
Why it is in scope
A human-made mathematical concept that quantifies the ability of a spectral analysis method (such as the DFT) to distinguish between two closely spaced frequency components. It is determined by the observation time, window function, and sampling parameters — a construct of human signal processing theory.
Names and aliases
- frequency-resolutionen · CANONICAL
Relations from this entry
- cmsozp6hk03jcjlsspsh7cispDEPENDS_ON →
Frequency resolution as defined here is the concept of distinguishable frequency separation within DFT bin spacing. Remove DFT as a concept and this concept ceases to operate — the bin spacing formula (fs/N) and main-lobe width analysis are all DFT-specific. Law 8 removal test passes.
- cmsorsyn802qbjlss3cb2ruiyDEPENDS_ON →
Frequency resolution as a concept cannot operate without the concept of frequency. It is defined as the minimum separation at which two frequencies can be distinguished. Remove frequency and the concept of frequency resolution ceases to have meaning — the removal test passes operationally, not just linguistically.
- cmr9uz3vv00elhcxfruyltnd4SERVES →
Frequency resolution as a signal-processing parameter is designed to serve measurement accuracy — it defines the finest detail at which a system can distinguish separate frequency components. Its purpose is to enable precise frequency measurement, not to describe a physical property.
- cmrw0g7st02xt2ceiy2ihtwthDERIVED_FROM →
Frequency resolution as a signal-processing parameter derives from sampling theory: the resolution limit Δf = 1/(N·Ts) is determined by sampling rate and count. Sampling theory (Nyquist-Shannon, 1928) predates and established the framework within which frequency resolution is defined. Historical chain is correct per Law 7.
Relations to this entry
No accepted relations in this direction.
Record identity
- Created
- Aug 12, 2026, 12:39 AM UTC
- Content hash
- 29be464ec3858167013008ca1c425cb447eb092e8700c7e201a2fa356910fe97