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Scale cascaded transfer functions with scale values

Since R2023b



ctfg = scaleFilterSections(ctf,g) scales the sections of the cascaded transfer function matrix ctf with the scale values specified in g.


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Design a 14th-order elliptic bandpass filter with a lower passband frequency of π/5 rad/sample and a higher passband frequency of 3π/5 rad/sample. Specify 10 dB of passband ripple and 40 dB of stopband attenuation. Convert the zeros, poles, and gain to a cascaded transfer function format.

N = 14;
[z,p,k] = ellip(N/2,10,40,[0.2 0.6]);
[sos,g] = zp2sos(z,p,k);

Use scaleFilterSections to scale the filter numerator coefficients so that the gain is uniformly distributed across all sections. Visualize the magnitude response of the filter.

ctfNum = sos(:,1:3); 
ctfDen = sos(:,4:end);
ctfNumG = scaleFilterSections(ctfNum,g);

sosG = [ctfNum ctfDen];

[h,f] = freqz(sosG,4096);
xlabel("Frequency (\times\pi rad/sample)")
ylabel("Magnitude (dB)")
ylim([-40 40])

Input Arguments

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Cascade of numerator filter coefficients, specified as a matrix. The number of rows of ctf equals L, the number of filter sections in the cascade. The number of columns of ctf equals N + 1, where N is the section order.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64
Complex Number Support: Yes

Scale values, specified as a scalar or a vector with L + 1 elements, where L is the number of filter sections in the cascade.

  • If g is a scalar, scaleFilterSections applies the value uniformly to all the cascade filter sections.

  • If g is a vector, scaleFilterSections applies each of the first L scale values to the corresponding filter section and the last scale value uniformly to all the filter sections.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64

Output Arguments

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Scaled numerator filter coefficients, returned as a matrix. ctfg has the same size as ctf.

Version History

Introduced in R2023b

See Also