FreqSpectrum

Extension

Create a new instance with the given magnitude and phase.// frequency sampled allpass filter design ~size = 128; ~cosTable = Signal.fftCosTable(~size); // design phase for REAL allpass ~randRadian = Array.fill(~size/2 - 1, { pi.bilinrand }); ~phase = Array.with(0.0) ++ ~randRadian ++ Array.with(0.0) ++ (~randRadian.reverse.neg); // 0.0 at DC & Nyquist, otherwise, symmetric random // design allpass spectrum ~spectrum = FreqSpectrum.new(phase: ~phase); // synthesize REAL kernel ~signal = ~spectrum.real.ifft(~spectrum.imag, ~cosTable).real; ~signal.plot("frequency sampled allpass")

Arguments:

Create a new instance given a spectrum in complex form.~size = 128; ~cosTable = Signal.fftCosTable(~size); // real signal ~real = Array.fill(~size, { 1.0.bilinrand }).as(Signal); ~imag = Signal.zeroFill(~size); ~real.plot("time domain"); // complex spectrum - cartesian ~complex = ~real.fft(~imag, ~cosTable); // spectrum ~spectrum = FreqSpectrum.newComplex(~complex); ~spectrum.magnitude.plot("magnitude");

Create a new Array whose slots are filled with linearly spaced magnitudes to create a log shelf filter.¹ See also: Signal: *logShelf.

Arguments:

Return a power-law spectrum. Magnitude at Nyquist is normalized to 1.

Arguments:

FreqSpectrum size.

Coefficient frequencies.

Coefficient numbers.

Energy weighted average frequency.

Return bandwidth, in Hz.

Arguments:

Set or return the magnitude.

Return the peak magnitude.

Return energy weighted average magnitude.

Arguments:

Synonym for -magnitude

Return the energy density.

Return the total energy.

Return the RMS.

Scale the magnitude in place.

Normalize the magnitude in place to 1.~size = 128; ~cosTable = Signal.fftCosTable(~size); // real signal ~real = Array.fill(~size, { 1.0.bilinrand }).as(Signal); ~imag = Signal.zeroFill(~size); // complex spectrum - cartesian ~complex = ~real.fft(~imag, ~cosTable); // spectrum ~spectrum = FreqSpectrum.newComplex(~complex).normalize; ~spectrum.magnitude.plot("magnitude");

Reset the magnitude in place to 1.

Set or return the phase.

Synonym for -phase

Synonym for -phase

Add pi to phase.

Add pi to phase in place.

Rotate the phase by a value in radians, in place. See also Signal: -rotatePhase.

Rotate the time domain waveform by a value in radians, in place. See also Signal: -rotateWave.

Return a spectrum with phase wrapped, preserving the magnitude, in place. See also -continuousPhase.

Return a spectrum with phase unwrapped, preserving the magnitude, in place.² See also -principalPhase.

Arguments:

Return a linear phase spectrum, preserving the magnitude, in place. See also Signal: -linearPhase.

Arguments:

Return a minimum phase spectrum, preserving the magnitude, in place.³ See also Signal: -minimumPhase.

Arguments:

Return a gaussian noise phase spectrum, preserving the magnitude, in place. See also Signal: -gaussianPhase.

Return phase delay analysis, in samples.

Return group delay analysis, in samples.⁴

Arguments:

Return phase offset analysis, aka intercept phase, in radians.⁶

Arguments:

Return energy weighted average phase delay analysis, in samples. See also -phaseDelay

Return energy weighted average group delay analysis, in samples. See also -groupDelay

Arguments:

Return energy weighted average phase offset analysis, aka intercept phase, in radians. See also -phaseOffset

Arguments:

Return Polar.

Return Complex.

Return the real part of the complex spectrum.

Return the imaginary part of the complex spectrum.