LowpassOracle Class Reference

Oracle for FIR lowpass filter design. More...

#include <lowpass_oracle.hpp>

Public Member Functions
	LowpassOracle (size_t N, double Lpsq, double Upsq, double wpass, double wstop)
	Construct a new lowpass oracle object.
auto	assess_feas (const Vec &x, const double &Spsq) -> ParallelCut *
	Assess feasibility of the given autocorrelation coefficients.
auto	assess_optim (const Vec &x, double &Spsq) -> std::tuple< ParallelCut, bool >
	Assess optimality of the given autocorrelation coefficients.
auto	operator() (const Vec &x, double &Spsq) -> std::tuple< ParallelCut, bool >
	Call operator wrapping assess_optim.

Detailed Description

Oracle for FIR lowpass filter design.

This example is taken from Almir Mutapcic in 2006:

min   γ
s.t.  L²(ω) ≤ R(ω) ≤ U²(ω), ∀ ω ∈ [0, π]
      R(ω) > 0, ∀ ω ∈ [0, π]

Constructor & Destructor Documentation

LowpassOracle()

LowpassOracle::LowpassOracle	(	size_t	N,
		double	Lpsq,
		double	Upsq,
		double	wpass,
		double	wstop
	)

Construct a new lowpass oracle object.

The constructor of the LowpassOracle class. It initializes an instance of the LowpassOracle class with the given parameters.

Parameters

[in]	N	Number of FIR coefficients (including zeroth)
[in]	Lpsq	Square of lower passband bound (L^2)
[in]	Upsq	Square of upper passband bound (U^2)
[in]	wpass	Passband edge frequency
[in]	wstop	Stopband edge frequency

Member Function Documentation

assess_feas()

auto LowpassOracle::assess_feas	(	const Vec &	x,
		const double &	Spsq
	)		-> ParallelCut *

Assess feasibility of the given autocorrelation coefficients.

Parameters

[in]	x	The autocorrelation coefficients
[in]	Spsq	Stopband power specification

Returns

Pointer to parallel cut, or nullptr if feasible

assess_optim()

auto LowpassOracle::assess_optim	(	const Vec &	x,
		double &	Spsq
	)		-> std::tuple< ParallelCut, bool >

Assess optimality of the given autocorrelation coefficients.

Attempts to improve the stopband attenuation Spsq using a parallel cut. If feasible, returns the cut and a flag indicating whether Spsq was improved.

Parameters

[in]	x	The autocorrelation coefficients
[in,out]	Spsq	The stopband power (improved in place if possible)

Returns

Tuple of (parallel cut, whether Spsq was shrunk)

operator()()

auto LowpassOracle::operator() ( const Vec &  x, double &  Spsq  ) -> std::tuple<ParallelCut, bool>

inline

Call operator wrapping assess_optim.

Parameters

[in]	x	The autocorrelation coefficients
[in,out]	Spsq	The stopband power

Returns

Tuple of (parallel cut, whether Spsq was shrunk)

---

The documentation for this class was generated from the following file:

• ellalgo/oracles/lowpass_oracle.hpp