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15 results for “dsp”

Formulae (15)

f_s \ge 2 f_{max}

Sample at least twice the highest frequency to avoid aliasing.

f_k = \frac{k f_s}{N}

Frequency represented by the k-th bin of an N-point FFT.

\Delta f = \frac{f_s}{N}

Spacing between adjacent FFT bins.

SNR = 10\log_{10}\!\left(\frac{P_s}{P_n}\right)

Ratio of signal power to noise power, in decibels.

SNR \approx 6.02 b + 1.76

Best possible SNR (dB) of an ideal b-bit converter.

L = 10\log_{10}\!\left(\frac{P_2}{P_1}\right)

Express a power ratio in decibels.

L = 20\log_{10}\!\left(\frac{A_2}{A_1}\right)

Express a voltage/amplitude ratio in decibels.

f_c = \frac{1}{2\pi RC}

Corner frequency of a simple RC low/high-pass filter.

\tau = RC

Time for an RC circuit to charge to ~63% of final value.

\text{sinc}(x) = \frac{\sin(\pi x)}{\pi x}

The ideal interpolation kernel for reconstructing sampled signals.

R = f_s \times b \times c

Raw data rate from sample rate, bit depth and channels.

f_a = |f - n f_s|

Frequency an under-sampled tone masquerades as.

y[n] = \sum_k x[k] h[n-k]

Output of a filter is the convolution of input and impulse response.

G = 10^{L/20}

Convert a decibel gain back to a linear amplitude factor.

THD = \frac{\sqrt{\sum_{n\ge2} V_n^2}}{V_1}

Ratio of harmonic energy to the fundamental.