SignalMath.GenerateLinearChirp Method

Definition

Namespace: Numerics.NET
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 10.1.0

Overload List

GenerateLinearChirp(Double, Double, Double, Double, Span<Double>) Generates a linear chirp signal where the instantaneous frequency changes linearly with time.
GenerateLinearChirp(Int32, Double, Double, Double, Double) Generates a linear chirp signal and returns it as a vector.
GenerateLinearChirp(Vector<Double>, Double, Double, Double, Double) Generates a linear chirp signal at explicit x values and returns it as a vector.
GenerateLinearChirp(Double, Double, Double, Double, Double, Span<Double>) Generates a linear chirp signal with DC offset.
GenerateLinearChirp(Int32, Double, Double, Double, Double, Double) Generates a linear chirp signal with DC offset and returns it as a vector.
GenerateLinearChirp(ReadOnlySpan<Double>, Double, Double, Double, Double, Span<Double>) Generates a linear chirp signal at explicit x values.
GenerateLinearChirp(Vector<Double>, Double, Double, Double, Double, Double) Generates a linear chirp signal with DC offset at explicit x values and returns it as a vector.
GenerateLinearChirp(ReadOnlySpan<Double>, Double, Double, Double, Double, Double, Span<Double>) Generates a linear chirp signal with DC offset at explicit x values.

GenerateLinearChirp(Double, Double, Double, Double, Span<Double>)

Generates a linear chirp signal where the instantaneous frequency changes linearly with time.
C# 
public static void GenerateLinearChirp(
	double amplitude,
	double startAngularFrequency,
	double endAngularFrequency,
	double initialPhase,
	Span<double> destination
)

Parameters

amplitude  Double
The amplitude of the chirp.
startAngularFrequency  Double
The starting angular frequency in radians per sample.
endAngularFrequency  Double
The ending angular frequency in radians per sample.
initialPhase  Double
The initial phase in radians.
destination  Span<Double>
The destination span to write the generated signal.

Remarks

Generates a linear chirp according to the formula:

φ[n] = φ₀ + ω₀n + ½(ω₁ - ω₀)n²/(N-1)

y[n] = A sin(φ[n])

where A is the amplitude, ω₀ is the start frequency, ω₁ is the end frequency, φ₀ is the initial phase, and N is the count.

GenerateLinearChirp(Int32, Double, Double, Double, Double)

Generates a linear chirp signal and returns it as a vector.
C# 
public static Vector<double> GenerateLinearChirp(
	int count,
	double amplitude,
	double startAngularFrequency,
	double endAngularFrequency,
	double initialPhase
)

Parameters

count  Int32
The number of points in the signal.
amplitude  Double
The amplitude of the chirp.
startAngularFrequency  Double
The starting angular frequency in radians per sample.
endAngularFrequency  Double
The ending angular frequency in radians per sample.
initialPhase  Double
The initial phase in radians.

Return Value

Vector<Double>
A vector containing the generated linear chirp signal.

GenerateLinearChirp(Vector<Double>, Double, Double, Double, Double)

Generates a linear chirp signal at explicit x values and returns it as a vector.
C# 
public static Vector<double> GenerateLinearChirp(
	Vector<double> x,
	double amplitude,
	double startAngularFrequency,
	double endAngularFrequency,
	double initialPhase
)

Parameters

x  Vector<Double>
The x values at which to evaluate the chirp.
amplitude  Double
The amplitude of the chirp.
startAngularFrequency  Double
The starting angular frequency in radians per x-unit.
endAngularFrequency  Double
The ending angular frequency in radians per x-unit.
initialPhase  Double
The initial phase in radians.

Return Value

Vector<Double>
A vector containing the generated linear chirp signal.

GenerateLinearChirp(Double, Double, Double, Double, Double, Span<Double>)

Generates a linear chirp signal with DC offset.
C# 
public static void GenerateLinearChirp(
	double amplitude,
	double startAngularFrequency,
	double endAngularFrequency,
	double initialPhase,
	double offset,
	Span<double> destination
)

Parameters

amplitude  Double
The amplitude of the chirp.
startAngularFrequency  Double
The starting angular frequency in radians per sample.
endAngularFrequency  Double
The ending angular frequency in radians per sample.
initialPhase  Double
The initial phase in radians.
offset  Double
The DC offset to add to the signal.
destination  Span<Double>
The destination span to write the generated signal.

Remarks

Generates a linear chirp with DC offset according to the formula:

y[n] = c + A sin(φ[n])

where c is the offset and φ[n] is computed as in the non-offset version.

GenerateLinearChirp(Int32, Double, Double, Double, Double, Double)

Generates a linear chirp signal with DC offset and returns it as a vector.
C# 
public static Vector<double> GenerateLinearChirp(
	int count,
	double amplitude,
	double startAngularFrequency,
	double endAngularFrequency,
	double initialPhase,
	double offset
)

Parameters

count  Int32
The number of points in the signal.
amplitude  Double
The amplitude of the chirp.
startAngularFrequency  Double
The starting angular frequency in radians per sample.
endAngularFrequency  Double
The ending angular frequency in radians per sample.
initialPhase  Double
The initial phase in radians.
offset  Double
The DC offset to add to the signal.

Return Value

Vector<Double>
A vector containing the generated linear chirp signal.

GenerateLinearChirp(ReadOnlySpan<Double>, Double, Double, Double, Double, Span<Double>)

Generates a linear chirp signal at explicit x values.
C# 
public static void GenerateLinearChirp(
	ReadOnlySpan<double> x,
	double amplitude,
	double startAngularFrequency,
	double endAngularFrequency,
	double initialPhase,
	Span<double> destination
)

Parameters

x  ReadOnlySpan<Double>
The x values at which to evaluate the chirp.
amplitude  Double
The amplitude of the chirp.
startAngularFrequency  Double
The starting angular frequency in radians per x-unit.
endAngularFrequency  Double
The ending angular frequency in radians per x-unit.
initialPhase  Double
The initial phase in radians.
destination  Span<Double>
The destination span to write the generated signal.

GenerateLinearChirp(Vector<Double>, Double, Double, Double, Double, Double)

Generates a linear chirp signal with DC offset at explicit x values and returns it as a vector.
C# 
public static Vector<double> GenerateLinearChirp(
	Vector<double> x,
	double amplitude,
	double startAngularFrequency,
	double endAngularFrequency,
	double initialPhase,
	double offset
)

Parameters

x  Vector<Double>
The x values at which to evaluate the chirp.
amplitude  Double
The amplitude of the chirp.
startAngularFrequency  Double
The starting angular frequency in radians per x-unit.
endAngularFrequency  Double
The ending angular frequency in radians per x-unit.
initialPhase  Double
The initial phase in radians.
offset  Double
The DC offset to add to the signal.

Return Value

Vector<Double>
A vector containing the generated linear chirp signal.

GenerateLinearChirp(ReadOnlySpan<Double>, Double, Double, Double, Double, Double, Span<Double>)

Generates a linear chirp signal with DC offset at explicit x values.
C# 
public static void GenerateLinearChirp(
	ReadOnlySpan<double> x,
	double amplitude,
	double startAngularFrequency,
	double endAngularFrequency,
	double initialPhase,
	double offset,
	Span<double> destination
)

Parameters

x  ReadOnlySpan<Double>
The x values at which to evaluate the chirp.
amplitude  Double
The amplitude of the chirp.
startAngularFrequency  Double
The starting angular frequency in radians per x-unit.
endAngularFrequency  Double
The ending angular frequency in radians per x-unit.
initialPhase  Double
The initial phase in radians.
offset  Double
The DC offset to add to the signal.
destination  Span<Double>
The destination span to write the generated signal.

See Also