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AnalyticSignal

sound_to_patch::dsp

Struct AnalyticSignal 

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pub struct AnalyticSignal { /* private fields */ }
Expand description

The analytic signal z = x + j H{x} of a real signal.

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impl AnalyticSignal

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pub fn new(samples: &[f64], rate: SampleRate, pad: usize) -> Self

Computes the analytic signal by FFT: the negative bins are zeroed, the positive bins doubled, and the DC bin and, for an even length, the Nyquist bin keep gain 1.

The FFT wraps circularly, so pad zeros go before and after the signal and are cut after the transform. The cut ends still carry an error that decays as 1 / d with the distance d from an end, about fs / (2 pi^2 f d) for a sine of frequency f: 0.1 % needs some 4000 samples at 123 Hz and 8 kHz. Mirroring the signal instead of zeros is worse, because a reversed partial runs backwards in phase.

It is meant for note-sized segments. The transform holds the padded signal as complex values, 16 bytes a sample, and an FFT of a length that is not a power of two needs several times that in scratch: a whole 10-minute stem at 48 kHz peaks near 2 GB. Heterodyne a long signal instead.

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pub fn samples(&self) -> &[Complex64] ⓘ

Returns the complex samples.

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pub fn envelope(&self) -> Vec<f64>

Returns the envelope |z|.

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pub fn phase(&self) -> Vec<f64>

Returns the unwrapped phase arg z in radians.

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pub fn instantaneous_frequency(&self) -> Vec<f64>

Returns the instantaneous frequency in hertz between consecutive samples, f[n] = (fs / 2 pi) arg(z[n+1] conj(z[n])). Avoids differentiating a noisy phase. One value fewer than samples. The per-sample track stays bare f64 hertz: a value can be negative, which Hz rejects.

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impl Clone for AnalyticSignal

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fn clone(&self) -> Self

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for AnalyticSignal

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl PartialEq for AnalyticSignal

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fn eq(&self, other: &Self) -> bool

Equality operator ==. Read more
1.0.0 (const: unstable) · Source§

fn ne(&self, other: &Rhs) -> bool

Inequality operator !=. Read more
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impl StructuralPartialEq for AnalyticSignal

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impl<T> Any for T
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Gets the TypeId of self. Read more
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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
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fn into_sample(self) -> T

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