Packages

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

Linear Supertypes
Error, BasisFunction, AnyRef, Any
Known Subclasses
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  1. Fourier
  2. Error
  3. BasisFunction
  4. AnyRef
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  1. Public
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Instance Constructors

  1. 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

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. 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
  5. 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
  6. 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
  7. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  8. 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
    FourierBasisFunction
  9. 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
  10. 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
  11. 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
  12. 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
  13. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  14. 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
  15. 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
  16. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  17. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  18. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  19. final def flaw(method: String, message: String): Unit
    Definition Classes
    Error
  20. def getCache(m: Int, t: VectoD): Array[MatrixD]

    Retrieves the cached design matrices

    Retrieves the cached design matrices

    Definition Classes
    BasisFunction
  21. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  22. def getOrder: Int

    Retrieves the order of the this Fourier basis function

    Retrieves the order of the this Fourier basis function

    Definition Classes
    FourierBasisFunction
  23. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  24. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  25. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  26. val needCompute: Boolean
    Attributes
    protected
    Definition Classes
    BasisFunction
  27. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  28. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  29. 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
    FourierBasisFunction
  30. def recomputeCache: Unit

    Recompute cached matrices

    Recompute cached matrices

    Definition Classes
    BasisFunction
  31. 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
    FourierBasisFunction
  32. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  33. def toString(): String

    String representation of the Fourier Basis Functions

    String representation of the Fourier Basis Functions

    Definition Classes
    Fourier → AnyRef → Any
  34. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  35. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  36. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  37. val Φ: MatrixD
    Attributes
    protected
    Definition Classes
    BasisFunction
  38. val Φt: MatrixD
    Attributes
    protected
    Definition Classes
    BasisFunction
  39. val ΦtΦ: MatrixD
    Attributes
    protected
    Definition Classes
    BasisFunction

Inherited from Error

Inherited from BasisFunction

Inherited from AnyRef

Inherited from Any

Ungrouped