Signal Transformations#

The Trace class supports operators and provides methods to transform the samples of a Trace into a new Trace instance labeled with the performed signal transformation.

Value Conversions#

Method	Name	Label
`bool()`	Boolean	`'bool'`
`int()`	Integer	`'int'`
`float()`	Float	`'float'`
`bin()`	Binary	`'bin'`
`oct()`	Octal	`'oct'`
`hex()`	Hexadecimal	`'hex'`

Comparison Operations#

Method	Name	Label
`less()`	Less Than	`'lt'`
`less_equal()`	Less than or Equal to	`'le'`
`equal()`	Equal	`'eq'`
`not_equal()`	Not Equal	`'ne'`
`greater_equal()`	Greater than or Equal to	`'ge'`
`greater()`	Greater Than	`'gt'`

Arithmetic Operations#

Method	Name	Label
`add()`	Addition	`'add'` or `'radd'`
`sub()`	Subtraction	`'sub'` or `'rsub'`
`mul()`	Multiplication	`'mul'` or `'rmul'`
`div()`	Division	`'div'` or `'rdiv'`
`floordiv()`	Floor Division	`'floordiv'` or `'rfloordiv'`
`mod()`	Modulo	`'mod'` or `'rmod'`
`fmod()`	Floating-Point Modulo	`'fmod'`
`pow()`	Exponentiation	`'pow'` or `'rpow'`

Bitwise Operations#

Method	Name	Label
`bitwise_and()`	Bitwise AND	`'and'` or `'rand'`
`bitwise_or()`	Bitwise OR	`'or'` or `'ror'`
`bitwise_xor()`	Bitwise XOR	`'xor'` or `'rxor'`
`invert()`	Bitwise NOT	`'not'`
`left_shift()`	Bitwise Left Shift	`'shl'` or `'rshl'`
`right_shift()`	Bitwise Right Shift	`'shr'` or `'rshr'`
`bits()`	Bitwise Unpacking	`'bits'`

Assignment Operations#

Operator	Name	Label
`+=`	Addition	`'iadd'`
`-=`	Subtraction	`'isub'`
`*=`	Multiplication	`'imul'`
`/=`	Division	`idiv`
`//=`	Floor Division	`'ifloordiv'`
`%=`	Modulo	`'imod'`
`**=`	Exponentiation	`'ipow'`
`&=`	Bitwise AND	`'iand'`
`\|=`	Bitwise OR	`'ior'`
`^=`	Bitwise XOR	`'ixor'`
`<<=`	Bitwise Left Shift	`'ishl'`
`>>=`	Bitwise Right Shift	`'ishr'`

Mathematical Functions#

Method	Name	Label
`neg()`	Negation	`'neg'`
`abs()`	Absolute	`'abs'`
`round()`	Rounding	`'round'`
`trunc()`	Truncation	`'trunc'`
`floor()`	Floor Rounding	`'floor'`
`ceil()`	Ceil Rounding	`'ceil'`
`sign()`	Signum	`'sign'`
`zero()`	Zeros	`'zero'`
`positive()`	Positives	`'positive'`
`negative()`	Negatives	`'negative'`
`min()`	Min	`'min'`
`max()`	Max	`'max'`
`average()`	Average	`'avg'`
`interpolate()`	Interpolate	`'interpolate'`

Trigonometric Functions#

Method	Name	Label
`sin()`	Sine	`'sin'`
`cos()`	Cosine	`'cos'`
`tan()`	Tangent	`'tan'`
`asin()`	Arc Sine	`'asin'`
`acos()`	Arc Cosine	`'acos'`
`atan()`	Arc Tangent	`'atan'`
`sinh()`	Hyperbolic Sine	`'sinh'`
`cosh()`	Hyperbolic Cosine	`'cosh'`
`tanh()`	Hyperbolic Tangent	`'tanh'`
`asinh()`	Area Hyperbolic Sine	`'asinh'`
`acosh()`	Area Hyperbolic Cosine	`'acosh'`
`atanh()`	Area Hyperbolic Tangent	`'atanh'`

Differentiating Functions#

Method	Name	Label
`delta()`	Delta	`'delta'`
`enter_positive()`	Enter Positives	`'enter_positive'`
`left_positive()`	Left Positives	`'left_positive'`
`enter_negative()`	Enter Negatives	`'enter_negative'`
`left_negative()`	Left Negatives	`'left_negative'`

Integrating Functions#

Method	Name	Label
`accumulate()`	Accumulate	`'accumulate'`
`sums_positive()`	Sums Positive	`'sums_positive'`
`sums_negative()`	Sums Negative	`'sums_negative'`

Statistics#

Method	Name	Label
`sum()`	Sum
`count()`	Count
`sort()`	Sort	`'sort'`
`winsorize()`	Winsorize	`'winsorize'`
`mean()`	Mean \(\overline{x}\)
`weighted_mean()`	Weighted Mean \(\overline{x}_{w}\)
`winsor_mean()`	Winsor Mean \(\overline{x}_{w\alpha}\)
`median()`	Median \(\overline{x}_{med}\)
`mode()`	Mode \(\overline{x}_{mod}\)
`min()`	Minimum \(x_{min}\)
`max()`	Maximum \(x_{max}\)
`range()`	Range \(x_{max} - x_{min}\)
`midrange()`	Mid-Range \(\frac{x_{max} + x_{min}}{2}\)
`aad()`	Average Absolute Deviation (AAD) \(D_{mean} = m_1\)
`mad()`	Median Absolute Deviation (MAD) \(D_{med}\)
`variance()`	Variance \(\sigma^2 = m_2\)
`std()`	Standard Deviation \(\sigma\)
`coefficient()`	Coefficient of Variation \(c_v\)
`skew()`	Skew \(m_3\)
`kurtosis()`	Kurtosis \(m_4\)
`zscore()`	Z-Score \(z\)	`'zscore'`
`quantiles()`	Quantiles \(q_n\)

X-Axis Transformations#

Method	Name	Label
`move()`	Move	`'move'`
`slice()`	Slice	`'slice'`