Signal Processing Formulas
Signal processing formulas connect sampling rate, bandwidth, and frequency resolution in digital systems. These calculators help you avoid aliasing and size FFTs for the resolution you need. They are foundational to DSP and software-defined radio.
Signal Processing Formula Calculators
- FFT Bin Resolution Δf = Fs / N
- Averaging SNR Improvement SNR_gain = 10 × log10(N)
- Decimation ENOB Gain ENOB_gain = log2(N) / 2
- FFT Frequency Bin Δf = Fs / N
- Decimation Resolution Gain ENOB_gain = 0.5 × log2(OSR)
- FFT Processing Gain PG = 10 · log10(M / 2)
- FFT Noise Floor Floor = SNR + 10·log10(M/2) below FS
Related Formula Categories
Browse the full formulas index for all 32 categories.