signals - Faust Libraries

# signals.lib

A library of basic elements to handle signals in Faust. Its official prefix is `si`.

## Functions Reference

### `(si.)bus`

n parallel cables. `bus` is a standard Faust function.

#### Usage

    bus(n)
    bus(4) : _,_,_,_

Where:

- `n`: is an integer known at compile time that indicates the number of parallel cables.

### `(si.)block`

Block - terminate n signals. `block` is a standard Faust function.

#### Usage

    _,_,... : block(n) : _,...

Where:

- `n`: the number of signals to be blocked

### `(si.)interpolate`

Linear interpolation between two signals.

#### Usage

    _,_ : interpolate(i) : _

Where:

- `i`: interpolation control between 0 and 1 (0: first input; 1: second input)

### `(si.)smoo`

Smoothing function based on `smooth` ideal to smooth UI signals (sliders, etc.) down. `smoo` is a standard Faust function.

#### Usage

    hslider(...) : smoo;

### `(si.)polySmooth`

A smoothing function based on `smooth` that doesn't smooth when a trigger signal is given. This is very useful when making polyphonic synthesizer to make sure that the value of the parameter is the right one when the note is started.

#### Usage

    hslider(...) : polySmooth(g,s,d) : _

Where:

- `g`: the gate/trigger signal used when making polyphonic synths
- `s`: the smoothness (see `smooth`)
- `d`: the number of samples to wait before the signal start being smoothed after `g` switched to 1

### `(si.)smoothAndH`

A smoothing function based on `smooth` that holds its output signal when a trigger is sent to it. This feature is convenient when implementing polyphonic instruments to prevent some smoothed parameter to change when a note-off event is sent.

#### Usage

    hslider(...) : smoothAndH(g,s) : _

Where:

- `g`: the hold signal (0 for hold, 1 for bypass)
- `s`: the smoothness (see `smooth`)

### `(si.)bsmooth`

Block smooth linear interpolation during a block of samples.

#### Usage

    hslider(...) : bsmooth : _

### `(si.)dot`

Dot product for two vectors of size N.

#### Usage

    _,_,_,_,_,_ : dot(N) : _

Where:

- `N`: size of the vectors (int, must be known at compile time)

### `(si.)smooth`

Exponential smoothing by a unity-dc-gain one-pole lowpass. `smooth` is a standard Faust function.

#### Usage:

    _ : smooth(tau2pole(tau)) : _

Where:

- `tau`: desired smoothing time constant in seconds, or

    hslider(...) : smooth(s) : _

Where:

- `s`: smoothness between 0 and 1. s=0 for no smoothing, s=0.999 is "very smooth", s>1 is unstable, and s=1 yields the zero signal for all inputs. The exponential time-constant is approximately 1/(1-s) samples, when s is close to (but less than) 1.

#### Reference:

- https://ccrma.stanford.edu/~jos/mdft/Convolution_Example_2_ADSR.html

### `(si.)cbus`

n parallel cables for complex signals. `cbus` is a standard Faust function.

#### Usage

    cbus(n)
    cbus(4) : (r0,i0), (r1,i1), (r2,i2), (r3,i3)

Where:

- `n`: is an integer known at compile time that indicates the number of parallel cables.
- each complex number is represented by two real signals as (real,imag)

### `(si.)cmul`

multiply two complex signals pointwise. `cmul` is a standard Faust function.

#### Usage

    (r1,i1) : cmul(r2,i2) : (_,_);

Where:

- Each complex number is represented by two real signals as (real,imag), so
- `(r1,i1)` = real and imaginary parts of signal 1
- `(r2,i2)` = real and imaginary parts of signal 2

### `(si.)cconj`

complex conjugation of a (complex) signal. `cconj` is a standard Faust function.

#### Usage

    (r1,i1) : cconj : (_,_);

Where:

- Each complex number is represented by two real signals as (real,imag), so
- `(r1,i1)` = real and imaginary parts of the input signal
- `(r1,-i1)` = real and imaginary parts of the output signal

### `(si.)lag_ud`

Lag filter with separate times for up and down.

#### Usage

    _ : lag_ud(up, dn) : _;

### `(si.)rev`

Reverse the input signal by blocks of N>0 samples. `rev(1)` is the indentity function. `rev(N)` has a latency of `N-1` samples.

#### Usage

    _ : rev(N) : _;

Where:

- `N`: the block size

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