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Frequency response from a transfer function?

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I have the following transfer function:
And I want to plot its frequency response but I am not sure how to do it. I hope someone can help

Answers (2)

Star Strider
Star Strider on 18 Sep 2023
I assume you intend a bode or bodeplot plot —
s = tf('s');
G = exp(-s)/(2*s+1)
G = 1 exp(-1*s) * ------- 2 s + 1 Continuous-time transfer function.
See the documentation I linked to, as well as the tf function, for details.

Dyuman Joshi
Dyuman Joshi on 18 Sep 2023
Use freqs. Note - Requires the Signal Processing Toolbox.
Refer to the documentation page linked above for more info.
help freqs
FREQS Laplace-transform (s-domain) frequency response. H = FREQS(B,A,W) returns the complex frequency response vector H of the filter B/A: nb-1 nb-2 B(s) b(1)s + b(2)s + ... + b(nb) H(s) = ---- = ------------------------------------- na-1 na-2 A(s) a(1)s + a(2)s + ... + a(na) given the numerator and denominator coefficients in vectors B and A. The frequency response is evaluated at the points specified in vector W (in rad/s). The magnitude and phase can be graphed by calling FREQS(B,A,W) with no output arguments. [H,W] = FREQS(B,A) automatically picks a set of 200 frequencies W on which the frequency response is computed. FREQS(B,A,N) picks N frequencies. % Example 1: % Find and graph the frequency response of the transfer function % given by % H(s) = ( 0.2*s^2 + 0.3*s + 1 )/( s^2 + 0.4s + 1 ) a = [1 0.4 1]; % Numerator coefficients b = [0.2 0.3 1]; % Denominator coefficients w = logspace(-1,1); % Frequency vector freqs(b,a,w) % Example 2: % Design a fifth-order analog lowpass Bessel filter with an % approximate constant group delay up to 10,000 rad/s and plot % the frequency response of the filter using freqs. [b,a] = besself(5,10000); % Bessel analog filter design freqs(b,a) % Plot frequency response See also LOGSPACE, POLYVAL, INVFREQS, and FREQZ. Documentation for freqs doc freqs
  1 Comment
Ali Almakhmari
Ali Almakhmari on 18 Sep 2023
I think this is exactly what I am looking for. But I am not sure if I can use this command with e^-s in my numerator of the transfer function.

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