class Fourier extends BasisFunction with Error
The Fourier class provides Fourier basis functions. Such basis functions
are useful are useful for fitting periodic data in Functional Data Analysis.
- See also
en.wikipedia.org/wiki/Fourier_series
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Instance Constructors
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new
Fourier(w: Double = 2.0 * Pi, mMax: Int = 4)
- w
the fundamental frequency parameter
- mMax
the number of sin/cos pairs to be used in the basis function
Value Members
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final
def
!=(arg0: Any): Boolean
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final
def
##(): Int
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final
def
==(arg0: Any): Boolean
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def
abf(m: Int)(t: VectoD): MatrixD
Obtain the value of the m-th order basis functions (all) at time 't'.
Obtain the value of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only. Ex: val x = bf(m)(t) retrieves the value of all the basis functions at 't'. val f = bf(m) retrieves all the basis functions.
- m
the order of all the basis function
- t
the time parameter
- Definition Classes
- BasisFunction
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def
abf_(m: Int)(t: Double): VectorD
Obtain the value of the m-th order basis functions (all) at time 't'.
Obtain the value of the m-th order basis functions (all) at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only. Ex: val x = bf(m)(t) retrieves the value of all the basis functions at 't'. val f = bf(m) retrieves all the basis functions.
- m
the order of all the basis function
- t
the time parameter
- Definition Classes
- BasisFunction
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def
apply(m: Int)(j: Int)(t: Double): Double
Obtain the value of the m-th order 'j'-th basis function at time 't'.
Obtain the value of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only. Ex: val x = bf(m)(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf(m)(j) retrieves the j-th basis function.
- m
the order of the basis function
- j
indicates which basis function
- t
the time parameter
- Definition Classes
- BasisFunction
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final
def
asInstanceOf[T0]: T0
- Definition Classes
- Any
-
def
bf(m: Int = mMax)(j: Int)(t: Double): Double
Obtain the value of the m-th order 'j'-th basis function at time 't'.
Obtain the value of the m-th order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf(m)(j) only.
- m
the order of the basis function
- j
indicates which basis function
- t
the time parameter
- Definition Classes
- Fourier → BasisFunction
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def
bf1(j: Int)(t: Double): Double
Obtain the value of the 1st order 'j'-th basis function at time 't'.
Obtain the value of the 1st order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf1(j) only. Ex: val x = bf1(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf1(j) retrieves the j-th basis function.
- j
indicates which basis function
- t
the time parameter
- Definition Classes
- BasisFunction
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def
bf2(j: Int)(t: Double): Double
Obtain the value of the 2nd order 'j'-th basis function at time 't'.
Obtain the value of the 2nd order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf2(j) only. Ex: val x = bf2(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf2(j) retrieves the j-th basis function.
- j
indicates which basis function
- t
the time parameter
- Definition Classes
- BasisFunction
-
def
bf3(j: Int)(t: Double): Double
Obtain the value of the 3rd order 'j'-th basis function at time 't'.
Obtain the value of the 3rd order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf3(j) only. Ex: val x = bf3(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf3(j) retrieves the j-th basis function.
- j
indicates which basis function
- t
the time parameter
- Definition Classes
- BasisFunction
-
def
bf4(j: Int)(t: Double): Double
Obtain the value of the 4th order 'j'-th basis function at time 't'.
Obtain the value of the 4th order 'j'-th basis function at time 't'. Or alternatively, obtain the basis function by calling bf4(j) only. Ex: val x = bf4(j)(t) retrieves the value of the j-th basis function at 't'. val f = bf4(j) retrieves the j-th basis function.
- j
indicates which basis function
- t
the time parameter
- Definition Classes
- BasisFunction
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def
clone(): AnyRef
- Attributes
- protected[java.lang]
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- @native() @throws( ... )
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def
count(m: Int): Int
The number of basis functions for a specified order.
The number of basis functions for a specified order.
- m
the order of the basis function
- Definition Classes
- BasisFunction
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def
dot_(m: Int)(i: Int, j: Int)(g: BasisFunction, a: Double = 0.0, b: Double = 1.0): Double
Compute the dot/inner product of 'this' basis function object and basis function 'g'.
Compute the dot/inner product of 'this' basis function object and basis function 'g'.
- m
the order of the basis function
- i
indicates which basis function of 'this'
- j
indicates which basis function of 'g'
- g
the other function
- a
the start of the interval
- b
the end of the interval
- Definition Classes
- BasisFunction
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final
def
eq(arg0: AnyRef): Boolean
- Definition Classes
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def
equals(arg0: Any): Boolean
- Definition Classes
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def
finalize(): Unit
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- protected[java.lang]
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final
def
flaw(method: String, message: String): Unit
- Definition Classes
- Error
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def
getCache(m: Int, t: VectoD): Array[MatrixD]
Retrieves the cached design matrices
Retrieves the cached design matrices
- Definition Classes
- BasisFunction
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final
def
getClass(): Class[_]
- Definition Classes
- AnyRef → Any
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- @native()
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def
getOrder: Int
Retrieves the order of the this Fourier basis function
Retrieves the order of the this Fourier basis function
- Definition Classes
- Fourier → BasisFunction
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def
hashCode(): Int
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- @native()
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final
def
isInstanceOf[T0]: Boolean
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final
def
ne(arg0: AnyRef): Boolean
- Definition Classes
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val
needCompute: Boolean
- Attributes
- protected
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- BasisFunction
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final
def
notify(): Unit
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- @native()
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final
def
notifyAll(): Unit
- Definition Classes
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- @native()
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def
range(m: Int = mMax): Range
The range for the Fourier basis functions
The range for the Fourier basis functions
- m
the order of the spline
- Definition Classes
- Fourier → BasisFunction
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def
recomputeCache: Unit
Recompute cached matrices
Recompute cached matrices
- Definition Classes
- BasisFunction
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def
size(m: Int = mMax): Int
The number of usable Fourier basis functions for a specified order, including one constant term and 'm' sin/cos terms
The number of usable Fourier basis functions for a specified order, including one constant term and 'm' sin/cos terms
- m
the order of the spline
- Definition Classes
- Fourier → BasisFunction
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final
def
synchronized[T0](arg0: ⇒ T0): T0
- Definition Classes
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def
toString(): String
String representation of the Fourier Basis Functions
String representation of the Fourier Basis Functions
- Definition Classes
- Fourier → AnyRef → Any
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final
def
wait(): Unit
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final
def
wait(arg0: Long, arg1: Int): Unit
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final
def
wait(arg0: Long): Unit
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val
Φ: MatrixD
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- protected
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- BasisFunction
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val
Φt: MatrixD
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- BasisFunction
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val
ΦtΦ: MatrixD
- Attributes
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- BasisFunction