Signal Processing Toolbox

Frequency Specifications Region

The Frequency Specifications region allows you to enter frequency parameters for the filter design. The options available vary with the selections in the Filter Type and Design Method regions.

Filter Type	IIR	FIR
Lowpass	Butterworth, Chebyshev Type I, Chebyshev Type II, Elliptic, Maximally Flat, Least Pth-norm*, Constrained Least Pth-norm*	Equiripple, Least-squares, Window, Maximally Flat, Least Pth-norm*, Constrained Equiripple*
Highpass	Butterworth, Chebyshev Type I, Chebyshev Type II, Elliptic, Maximally Flat, Least Pth-norm*, Constrained Least Pth-norm*	Equiripple, Least-squares, Window, Maximally Flat, Least Pth-norm*, Constrained Equiripple*
Bandpass	Butterworth, Chebyshev Type I, Chebyshev Type II, Elliptic, Least Pth-norm*, Constrained Least Pth-norm*	Equiripple, Least-squares, Window, Least Pth-norm*
Bandstop	Butterworth, Chebyshev Type I, Chebyshev Type II, Elliptic, Least Pth-norm*, Constrained Least Pth-norm*	Equiripple, Least-squares, Window, Least Pth-norm*

Other Filter Types (in the pull-down menu) are Differentiator, Hilbert Transformer, Multiband, Arbitrary Magnitude, Raised-Cosine, Arbitrary Group Delay*, Halfband Lowpass*, Halfband Highpass*, and Nyquist*.

*available only with the Filter Design Toolbox

Frequency Specifications Region: Lowpass

IIR	FIR
Butterworth	Equiripple
Chebyshev Type I	Least-squares
Chebyshev Type II	Window
Elliptic	Maximally Flat
Maximally flat	Least Pth-Norm (available only with Filter Design Toolbox)
Least Pth-Norm (available only with Filter Design Toolbox)	Constrained equiripple (available only with Filter Design Toolbox)
Constrained Least Pth-norm (available only with Filter Design Toolbox)

IIR Butterworth.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fc (or wc)--cutoff frequency, the frequency at which the magnitude response is 3 dB below the passband gain

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass (or wpass)--end of the passband
• Fstop (or wstop)--beginning of the stopband

IIR Chebyshev Type I.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass (or wpass)--end of the passband

If Minimum order is selected in the Filter Orderregion, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass (or wpass)--end of the passband
• Fstop (or wstop)--beginning of the stopband

IIR Chebyshev Type II.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop (or wstop)--beginning of the stopband

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass (or wpass)--end of the passband
• Fstop (or wstop)--beginning of the stopband

IIR Elliptic.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass (or wpass)--end of the passband

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass (or wpass)--end of the passband
• Fstop (or wstop)--beginning of the stopband

IIR Maximally Flat.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the sampling and cutoff frequencies:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fc (or wc)--cutoff frequency, the frequency at which the magnitude response is 3 dB below the passband gain

IIR Least Pth-Norm.   Note that this design method is available only if you have the Filter Design Toolbox installed. See iirlpnorm for more information.

Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the sampling, stopband, and passband frequencies:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass (or wpass)--end of the passband
• Fstop (or wstop)--beginning of the stopband

IIR Constrained Least Pth-Norm.   Note that this design method is available only if you have the Filter Design Toolbox installed. See iirlpnormc for more information.

Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the sampling, stopband, and passband frequencies:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass (or wpass)--end of the passband
• Fstop (or wstop)--beginning of the stopband

FIR Equiripple.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass (or wpass)--end of the passband
• Fstop (or wstop)--beginning of the stopband

FIR Least Squares.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass (or wpass)--end of the passband
• Fstop (or wstop)--beginning of the stopband

FIR Window.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fc (or wc)--cutoff frequency, the frequency at which the magnitude response is 3 dB below the passband gain

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass (or wpass)--end of the passband
• Fstop (or wstop)--beginning of the stopband

FIR Maximally Flat.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the sampling and cutoff frequencies:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fc (or wc)--cutoff frequency, the frequency at which the magnitude response is 3 dB below the passband gain

FIR Least Pth-Norm .   Note that this design method is available only if you have the Filter Design Toolbox installed. See firlpnorm for more information.

Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the sampling, stopband, and passband frequencies:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass (or wpass)--end of the passband
• Fstop (or wstop)--beginning of the stopband

FIR Constrained Equiripple.   Note that this design method is available only if you have the Filter Design Toolbox installed. See firceqrip for more information.

Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the sampling and cutoff, passband or stopband frequencies:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Specify--select the cutoff, passband edge, or stopband edge
• Fc, Fpass, or Fstop--cutoff, end of the passband, or beginning of the stopband, respectively.

Frequency Specifications Region: Highpass

IIR	FIR
Butterworth	FIR Equiripple
Chebyshev Type I	FIR Least Squares
Chebyshev Type II	FIR Window
Elliptic	FIR Least Pth-Norm (available only with Filter Design Toolbox)
Least Pth-norm (available only with Filter Design Toolbox)	FIR Constrained equiripple (available only with Filter Design Toolbox)
Constrained Least Pth-norm (available only with Filter Design Toolbox)

IIR Butterworth.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fc (or wc)--cutoff frequency, the frequency at which the magnitude response is 3 dB below the passband gain

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop (or wstop)--beginning of the stopband
• Fpass (or wpass)--end of the passband

IIR Chebyshev Type I.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass (or wpass)--end of the passband

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop (or wstop)--beginning of the stopband
• Fpass (or wpass)--end of the passband

IIR Chebyshev Type II.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop (or wstop)--beginning of the stopband

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop (or wstop)--beginning of the stopband
• Fpass (or wpass)--end of the passband

IIR Elliptic.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Orderregion, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass (or wpass)--end of the passband

If Minimum order is selected in the Filter Orderregion, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop (or wstop)--beginning of the stopband
• Fpass (or wpass)--end of the passband

IIR Least Pth-Norm.   Note that this design method is available only if you have the Filter Design Toolbox installed. See iirlpnorm for more information.

Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the sampling, stopband, and passband frequencies:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop (or wstop)--beginning of the stopband
• Fpass (or wpass)--end of the passband

IIR Constrained Least Pth-Norm.   Note that this design method is available only if you have the Filter Design Toolbox installed. See iirlpnormc for more information.

Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the sampling, stopband, and passband frequencies:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop (or wstop)--beginning of the stopband
• Fpass (or wpass)--end of the passband

FIR Equiripple.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop (or wstop)--beginning of the stopband
• Fpass (or wpass)--end of the passband

FIR Least Squares.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop (or wstop)--beginning of the stopband
• Fpass (or wpass)--end of the passband

FIR Window.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Orderregion, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fc (or wc)--cutoff frequency, the frequency at which the magnitude response is 3 dB below the passband gain

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop (or wstop)--beginning of the stopband
• Fpass (or wpass)--end of the passband

FIR Least Pth-Norm .   Note that this design method is available only if you have the Filter Design Toolbox installed. See firlpnorm for more information.

Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the sampling, stopband, and passband frequencies:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop (or wstop)--beginning of the stopband
• Fpass (or wpass)--end of the passband

FIR Constrained Equiripple.   Note that this design method is available only if you have the Filter Design Toolbox installed. See firceqrip for more information.

Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the sampling and cutoff, passband or stopband frequencies:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Specify--select the cutoff, passband edge, or stopband edge
• Fc, Fpass, or Fstop--cutoff, end of the passband, orbeginning of the stopband, respectively.

Frequency Specifications Region: Bandpass

IIR	FIR
Butterworth	Equiripple
Chebyshev Type I	Least Squares
Chebyshev Type II	Window
Elliptic	Least Pth-Norm (available only with Filter Design Toolbox)
Least Pth-Norm (available only with Filter Design Toolbox)
Constrained Least Pth-Norm (available only with Filter Design Toolbox)

IIR Butterworth.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fc1 (or wc1)--first cutoff frequency, the frequency preceeding the passband at which the magnitude response is 3 dB below the passband gain
• Fc2 (or wc2)--second cutoff frequency, the frequency following the passbandat which the magnitude response is 3 dB below the passband gain

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop1 (or wstop1)--end of the first stopband
• Fpass1 (or wpass1)--beginning of the passband
• Fpass2 (or wpass2)--end of the passband
• Fstop2 (or wstop2)--beginning of the second stopband

IIR Chebyshev Type I.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass1 (or wpass1)--beginning of the passband
• Fpass2 (or wpass2)--end of the passband

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop1 (or wstop1)--end of the first stopband
• Fpass1 (or wpass1)--beginning of the passband
• Fpass2 (or wpass2)--end of the passband
• Fstop2 (or wstop2)--beginning of the second stopband

IIR Chebyshev Type II.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop1 (or wstop1)--end of first stopband
• Fstop2 (or wstop2)--beginning of second stopband

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop1 (or wstop1)--end of the first stopband
• Fpass1 (or wpass1)--beginning of the passband
• Fpass2 (or wpass2)--end of the passband
• Fstop2 (or wstop2)--beginning of the second stopband

IIR Elliptic.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass1 (or wpass1)--beginning of the passband
• Fpass2 (or wpass2)--end of the passband

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop1 (or wstop1)--end of the first stopband
• Fpass1 (or wpass1)--beginning of the passband
• Fpass2 (or wpass2)--end of the passband
• Fstop2 (or wstop2)--beginning of the second stopband
• Fpass (or wpass)--end of the passband

IIR Least Pth-Norm.   Note that this design method is available only if you have the Filter Design Toolbox installed. See iirlpnorm for more information.

Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the sampling, stopband, and passband frequencies:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop1 (or wstop1)--end of the first stopband
• Fpass1 (or wpass1)--beginning of the passband
• Fpass2 (or wpass2)--end of the passband
• Fstop2 (or wstop2)--beginning of the second stopband
• Fpass (or wpass)--end of the passband

IIR Constrained Least Pth-Norm.   Note that this design method is available only if you have the Filter Design Toolbox installed. See iirlpnormc for more information.

Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the sampling, stopband, and passband frequencies:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop1 (or wstop1)--end of the first stopband
• Fpass1 (or wpass1)--beginning of the passband
• Fpass2 (or wpass2)--end of the passband
• Fstop2 (or wstop2)--beginning of the second stopband
• Fpass (or wpass)--end of the passband

FIR Equiripple.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop1 (or wstop1)--end of the first stopband
• Fpass1 (or wpass1)--beginning of the passband
• Fpass2 (or wpass2)--end of the passband
• Fstop2 (or wstop2)--beginning of the second stopband
• Fpass (or wpass)--end of the passband

FIR Least Squares.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop1 (or wstop1)--end of the first stopband
• Fpass1 (or wpass1)--beginning of the passband
• Fpass2 (or wpass2)--end of the passband
• Fstop2 (or wstop2)--beginning of the second stopband
• Fpass (or wpass)--end of the passband

FIR Window.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fc1 (or wc1)--first cutoff frequency, the frequency preceeding the passband at which the magnitude response is 3 dB below the passband gain
• Fc2 (or wc2)--second cutoff frequency, the frequency following the passbandat which the magnitude response is 3 dB below the passband gain

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop1 (or wstop1)--end of the first stopband
• Fpass1 (or wpass1)--beginning of the passband
• Fpass2 (or wpass2)--end of the passband
• Fstop2 (or wstop2)--beginning of the second stopband

FIR Least Pth-Norm .   Note that this design method is available only if you have the Filter Design Toolbox installed. See firlpnorm for more information.

Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the sampling, stopband, and passband frequencies:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop1 (or wstop1)--end of the first stopband
• Fpass1 (or wpass1)--beginning of the passband
• Fpass2 (or wpass2)--end of the passband
• Fstop2 (or wstop2)--beginning of the second stopband

Frequency Specifications Region: Bandstop

IIR	FIR
Butterworth	FIR Equiripple
Chebyshev Type I	FIR Least Squares
Chebyshev Type II	FIR Window
Elliptic	FIR Least Pth-Norm (available only with Filter Design Toolbox)
Least Pth-Norm (available only with Filter Design Toolbox)
Constrained Least Pth-Norm (available only with Filter Design Toolbox)

IIR Butterworth.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fc1 (or wc1)--first cutoff frequency, the frequency preceeding the passband at which the magnitude response is 3 dB below the passband gain
• Fc2 (or wc2)--second cutoff frequency, the frequency following the passbandat which the magnitude response is 3 dB below the passband gain

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass1 (or wpass1)--end of the first passband
• Fstop1 (or wstop1)--beginning of the stopband
• Fpass2 (or wpass2)--beginning of the second passband
• Fstop2 (or wstop2)--end of the stopband

IIR Chebyshev Type I.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass1 (or wpass1)--end of the first passband
• Fpass2 (or wpass2)--beginning of the second passband

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass1 (or wpass1)--end of the first passband
• Fstop1 (or wstop1)--beginning of the stopband
• Fpass2 (or wpass2)--beginning of the second passband
• Fstop2 (or wstop2)--end of the stopband

IIR Chebyshev Type II.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fstop1 (or wstop1)--beginning of the stopband
• Fstop2 (or wstop2)--end of the stopband

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass1 (or wpass1)--end of the first passband
• Fstop1 (or wstop1)--beginning of the stopband
• Fpass2 (or wpass2)--beginning of the second passband
• Fstop2 (or wstop2)--end of the stopband

IIR Elliptic.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass1 (or wpass1)--end of the first passband
• Fpass2 (or wpass2)--beginning of the second passband

If Minimum order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass1 (or wpass1)--end of the first passband
• Fstop1 (or wstop1)--beginning of the stopband
• Fpass2 (or wpass2)--beginning of the second passband
• Fstop2 (or wstop2)--end of the stopband

IIR Least Pth-Norm.   Note that this design method is available only if you have the Filter Design Toolbox installed. See iirlpnorm for more information.

Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the sampling, stopband, and passband frequencies:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass1 (or wpass1)--end of the first passband
• Fstop1 (or wstop1)--beginning of the stopband
• Fpass2 (or wpass2)--beginning of the second passband
• Fstop2 (or wstop2)--end of the stopband

IIR Constrained Least Pth-Norm.   Note that this design method is available only if you have the Filter Design Toolbox installed. See iirlpnormc for more information.

Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the sampling, stopband, and passband frequencies:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass1 (or wpass1)--end of the first passband
• Fstop1 (or wstop1)--beginning of the stopband
• Fpass2 (or wpass2)--beginning of the second passband
• Fstop2 (or wstop2)--end of the stopband

FIR Equiripple.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass1 (or wpass1)--end of the first passband
• Fstop1 (or wstop1)--beginning of the stopband
• Fpass2 (or wpass2)--beginning of the second passband
• Fstop2 (or wstop2)--end of the stopband

FIR Least Squares.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass1 (or wpass1)--end of the first passband
• Fstop1 (or wstop1)--beginning of the stopband
• Fpass2 (or wpass2)--beginning of the second passband
• Fstop2 (or wstop2)--end of the stopband

FIR Window.   Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fc1 (or wc1)--first cutoff frequency, the frequency preceding the stopband at which the magnitude response is 6 dB below the passband gain
• Fc2 (or wc2)--second cutoff frequency, the frequency following the stopband at which the magnitude response is 6 dB below the passband gain

If Minimum order is selected in the Filter Orderregion, specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass1 (or wpass1)--end of the first passband
• Fstop1 (or wstop1)--beginning of the stopband
• Fpass2 (or wpass2)--beginning of the second passband
• Fstop2 (or wstop2)--end of the stopband

FIR Least Pth-Norm .   Note that this design method is available only if you have the Filter Design Toolbox installed. See firlpnorm for more information.

Select the units for frequency specifications from the Units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the sampling, stopband, and passband frequencies:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fpass1 (or wpass1)--end of the first passband
• Fstop1 (or wstop1)--beginning of the stopband
• Fpass2 (or wpass2)--beginning of the second passband
• Fstop2 (or wstop2)--end of the stopband

Frequency and Magnitude Specifications Regions: Other Filters

Other Filters (available from the Filter Type pull-down menu)

Differentiator

Hilbert Transformer

Multiband

Arbitrary Magnitude

Raised-Cosine

Arbitrary Group Delay (available only with Filter Design Toolbox)

Halfband Lowpass (available only with Filter Design Toolbox)

Halfband Highpass (available only with Filter Design Toolbox)

Nyquist (available only with Filter Design Toolbox)

Differentiator.   Select the units for frequency specifications from the Frequency units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

For all units except Normalized, specify the Fs (sampling frequency.

Specify the following parameters in the text boxes:

• Freq. vector - A vector defining the frequency points at which the response magnitude is specified, in ascending order. Must have an even length the same as Mag. vector.
• Mag. vector - A vector defining the response magnitudes at the specified frequencies. Must have an even length the same as Freq. vector.
• Weight vector - A vector defining the relative weight that should be given to each frequency band. Must be half the length of Freq. vector.

Each odd-indexed frequency-amplitude pair defines the left endpoint of a line segment representing the desired magnitude response in that frequency band. The corresponding even-indexed frequency-amplitude pair defines the right endpoint. Between the frequency bands specified by these end-points, there may be undefined sections of the specified frequency response. These are called "don't care" or "transition" regions, and the magnitude response in these areas is a by-product of the optimization in the other (specified) frequency ranges.

The Weight vector specifies the emphasis to be placed on minimizing the error in certain frequency bands relative to others, one weight per band. In most cases, differentiators have only a single band, so the weight is a scalar value that does not affect the final filter.

See Multiband FIR Filter Design with Transition Bands and remez for more information.

Hilbert Transformer.   Select the units for frequency specifications from the Frequency units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

For all units except Normalized, specify the sampling frequency, Fs.

Specify the following parameters in the text boxes:

• Freq. vector - A vector defining the frequency points at which the response magnitude is specified, in ascending order. Must have an even length the same as Mag. vector.
• Mag. vector - A vector defining the response magnitudes at the specified frequencies. Must have an even length the same as Freq. vector.
• Weight vector - A vector defining the relative weight that should be given to each frequency band. Must be half the length of Freq. vector.

Each odd-indexed frequency-amplitude pair defines the left endpoint of a line segment representing the desired magnitude response in that frequency band. The corresponding even-indexed frequency-amplitude pair defines the right endpoint. Between the frequency bands specified by these end-points, there may be undefined sections of the specified frequency response. These are called "don't care" or "transition" regions, and the magnitude response in these areas is a by-product of the optimization in the other (specified) frequency ranges.

The Weight vector specifies the emphasis to be placed on minimizing the error in certain frequency bands relative to others, one weight per band. In most cases, Hilbert transformers have only a single band, so the weight is a scalar value that does not affect the final filter. However, the Weight vector is useful when designing an antisymmetric multiband filter, such as a Hilbert transformer with stopbands.

See Multiband FIR Filter Design with Transition Bands and remez for more information.

Multiband.   Select the units for frequency specifications from the Frequency units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

For all units except Normalized, specify Fs (sampling frequency).

Specify the following parameters in the text boxes:

• Freq. vector - A vector defining the frequency points at which the response magnitude is specified, in ascending order. Must have an even length the same as Mag. vector.
• Mag. vector - A vector defining the response magnitudes at the specified frequencies. Must have an even length the same as Freq. vector.
• Weight vector - A vector defining the relative weight that should be given to each frequency band. Must be half the length of Freq. vector.

Each frequency-magnitude pair specifies the junction of two adjacent frequency bands. See Multiband FIR Filter Design with Transition Bands and remez for more information.

Arbitrary Magnitude.   Select the units for frequency specifications from the Frequency units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

For all units except Normalized, specify Fs (sampling frequency).

Specify the following parameters in the text boxes:

• Freq. vector - A vector defining the frequency points at which the response magnitude is specified, in ascending order. Must have an even length the same as Mag. vector.
• Mag. vector - A vector defining the response magnitudes at the specified frequencies. Must have an even length the same as Freq. vector.
• Weight vector - A vector defining the relative weight that should be given to each frequency band. Must be half the length of Freq. vector.

Each frequency-magnitude pair specifies the junction of two adjacent frequency bands. See remez for more information.

Raised-Cosine.   Select the units for frequency specifications from the Frequency units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Fc--cutoff frequency, the frequency preceding the stopband at which the magnitude response is 6 dB below the passband gain
• Select Bandwidth and enter the width of the transition band or select Rolloff and specify the excess bandwidth from ideal in the transition zone.
  Cutoff frequency * rolloff = excess bandwidth.
  For example, if the cutoff frequency is 12000 Hz and Rolloff is 0.25, the excess bandwidth is 3000 Hz so the transition band would be from 9000 to 15000 Hz.

Select Normal or Square Root for the magnitude.

Arbitrary Group Delay.   Select the units for frequency specifications from the Frequency units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

For all units except Normalized, specify Fs (sampling frequency).

Specify the following parameters in the text boxes:

• Freq. vector - A vector defining the frequency points at which the response group delay is specified, in ascending order. Must have the same length as Grp. Delay vector.
• Freq. edges - A vector defining the band-edge frequencies on the boundary between "care" and "don't care" regions, in ascending order. The Freq. edges vector contains a subset of the points in the Freq. vector vector.
• Grpdelay vector - A vector defining the response group delay in samples at the specified frequencies. Must have the same length as Freq. vector.
• Weight vector - A vector defining the relative weight that should be given to each frequency-group delay pair. Must have the same length as Freq. vector.

The Arbitrary Group Delay filter type is available only when the Filter Design Toolbox is installed. See iirgrpdelay in the Filter Design Toolbox documentation for more information.

Halfband Lowpass.   Note that this design method is available only if you have the Filter Design Toolbox installed.

Select the units for frequency specifications from the Frequency units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify Fs, the sampling frequency, when Hz, kHz, MHz, or GHz units are selected. For FIR Window design method, Fc, the cutoff frequency, is set to Fs/4. The attenuation at the cutoff is fixed at 6 dB below the passband gain.

For FIR Equiripple design method, specify Fpass, the beginning of the passband. The attenuation at the cutoff is fixed at 6 dB below the passband gain.

Halfband Highpass.   Note that this design method is available only if you have the Filter Design Toolbox installed.

Select the units for frequency specifications from the Frequency units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify Fs, the sampling frequency, when Hz, kHz, MHz, or GHz units are selected. For FIR Window design method, Fc, the cutoff frequency, is set to Fs/4. The attenuation at the cutoff is fixed at 6 dB below the passband gain.

For FIR Equiripple design method, specify Fpass, the beginning of the passband. The attenuation at the cutoff is fixed at 6 dB below the passband gain.

Nyquist.   Note that this design method is available only if you have the Filter Design Toolbox installed.

Select the units for frequency specifications from the Frequency units list:

• Normalized (0 to 1), where 1 corresponds to the Nyquist frequency
• Hz (default)
• kHz
• MHz
• GHz

Specify the following frequencies in the text boxes:

• Fs (sampling frequency)--required when Hz, kHz, MHz, or GHz is selected
• Band--determines the cutoff frequency, where:
• 1/Band is the cutoff in normalized frequency
• Fs/(2*Band) is the cutoff in Hz.

Select one of the following to define the transition zone:

• Bandwidth--for FIR Equiripple design method only, the width of the transition zone.
• Rolloff--for FIR Equiripple design method only, determines the excess bandwidth from ideal in the transition zone.
  Cutoff frequency * rolloff = excess bandwidth.
  For example, if the cutoff frequency is 12000 Hz and Rolloff is 0.25, the excess bandwidth is 3000 Hz so the transition would be from 9000 to 15000 Hz.

Select the desired magnitude:

• Normal
• Nonnegative
• Minimum-Phase

Options Region

Magnitude Specifications Region